diff --git "a/data/dm_maths/full_data_2/6748_11255.jsonl" "b/data/dm_maths/full_data_2/6748_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/6748_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let a(s) be the first derivative of -s**6\/120 + s**4\/12 + 2*s**3\/3 + 15*s**2\/2 - 2*s - 15. Let x(m) be the second derivative of a(m). Calculate x(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0 - 47*l - 5.\nAnswer: -47*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 154 + -90. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*g - 18*g + 41*g**5 - 7*g**5 wrt g.\nAnswer: 680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u**4 + 8*u**2 + 5*u - 27. Let t(c) = 5*c**4 - 5*c**2 - 3*c + 13. Let s(v) = -3*p(v) - 5*t(v). What is the first derivative of s(z) wrt z?\nAnswer: 20*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -94.8 + 92. Let f = i - 7.1. Let s = -10.5 - f. Round s to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-99))\/(((-20280)\/212994)\/(-2)). Let d = -189\/169 + y. What is the common denominator of d and 121\/18?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4018 divided by -90\nAnswer: -2009\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 463 (b) -17\/14 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1.1. Let h = -1 + -2. Let j = -19500 - -19496. Which is the second biggest value? (a) v (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let a = 0.2 - 0.12. Let l = 0.18 - a. What is the nearest to l in 0, 0.3, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*h - 2*w, -15*h + 10*h = w - 31. Solve 2*k + 6*a + 2 = 2*a, 0 = 3*a + h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5\/(-6)*3\/10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -6?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 239116589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56614 - 15816. What are the prime factors of h?\nAnswer: 2, 20399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -535 + 67d?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/8)\/((54\/360)\/((-18)\/10))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1\/4 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (49\/(-14)*(-2)\/14)\/1. Find d such that 1\/2*d**5 - d**3 + 1\/2*d**4 + t*d - d**2 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4210.\nAnswer: -1\/4210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 973 and 66321487?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from zvlhappzh?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 23*q - 7463. Calculate a(204).\nAnswer: -2771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*r**2 + 53*r**2 + 0 + 5*r**3 + 0 wrt r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-1344)\/6)\/(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1011368 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000) + -2*sqrt(1000))\/(-2*sqrt(15)\/sqrt(3)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*u - 46*u = 59007. List the prime factors of u.\nAnswer: 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.7. Let s = -7616 - -7611. What is the closest to 0 in s, 15, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16994 is divided by 217?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4880 and 446?\nAnswer: 1088240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -69 = -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1213243340 + -2?\nAnswer: 1213243333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291808191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/7 - 16*p**2\/7 - 2*p.\nAnswer: -2*p*(p + 1)*(p + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711*o + 442 = -374*o - 363*o for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (0 - 1) + -8 - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16946*l - 3 - 3 - 16937*l. Let b(u) = -u + 1. Let a(w) = -35*b(w) - 5*h(w). Determine a(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -163213 or 0?\nAnswer: -163213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 11:01 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (-3312)\/(-180)) + (-27)\/20?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 800278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from {x: 4, v: 2, w: 3, e: 9, k: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**2 + 186*s - 8448.\nAnswer: 3*(s - 22)*(3*s + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -232296 from -3.59562047.\nAnswer: 232292.40437953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 29*q**2 - 28*q + 2. Let b be j(28). Let z be 4\/12 + b + (-5)\/15. Solve 0 = y + 4*g + 9, -z*y = -y - 5*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c**2 - 10 + 4*c**2 + 13 - 4 to w + u*c + q*c**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.523 + 0.477. Which is the nearest to -2? (a) x (b) 4\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(1620\/48)*5\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -37*x. Let o(y) = -3801*y. Give o(u(r)).\nAnswer: 140637*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 933842889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 1:31 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1832 - 361. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 7:14 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 2) + -4 + 5*3. Let f be u*1\/4 - -449*1. Suppose 54*z - f = 52*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 77) + -14 - (1 - 7 - (-75 - -76))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*f**2 + 2*f - f**3 - 9*f + f**3 - 4*f**4 + 3*f**4 to d*f + l*f**3 + n*f**4 + b*f**2 + z and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwzwbzwbzwzwwuwzbzbw. What is prob of picking 2 b and 1 u?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*j - 5*j + 112 + 14 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x = 0. Suppose x = 2*z + 2*z - 24. Let v(h) = 5*h - 9. Is v(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 18*m - 8. Let f be i(-6). Let h be f\/(-6) - (-8)\/12. Suppose 2*c - 2 = -4*n + 14, 5*n - h = -c. Solve c = -2*d - 0*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 6:47 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2, 17, 39, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14387918.\nAnswer: 2, 89, 80831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 995 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 the least common multiple of 378 and 2102450.\nAnswer: 56766150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2, 20 in descending order.\nAnswer: 20, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -4*l. Suppose -b - 3*u + 14 = 0, l*b + u = 2 + 6. What is the greatest common factor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-54)\/(-162) - ((-14)\/3 + 2). Sort 0, f, 1, -5, -4.\nAnswer: -5, -4, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 10, l: 4, d: 4}. What is prob of picking 2 d and 2 b?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*y = -10. Let z(l) = -1 - 4 - 2*l**2 + 9*l**2 - 4*l**2 - y*l. Let w be z(7). What is the greatest common factor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let m(x) = 24*x**2. Give m(p(c)).\nAnswer: 24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6555*k = 6404*k + 13439 for k.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v + 179. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(18\/(-4)) - 3682\/42. Let h = -80 - w. Let r = 94 - h. Is 22 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 955 + -851. Calculate the greatest common divisor of 56 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**3 + 42189244*m**2 - 111245748236096*m - 111245790425344 = 0.\nAnswer: -1, 5273656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.0632 + -0.0632. What is the nearest to -4.4 in 3\/5, g, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -59. Let m(o) = 2*o**2 - 4*o - 7. What is the remainder when m(6) is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -559, -2, -3 in increasing order.\nAnswer: -559, -3, -2, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + 74. Let f be 8 - 25\/15*3. Suppose -f*v = v - k. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-16))\/o**(3\/8))\/(o\/(o\/o**(-2\/47))*(o*o*o**(-28)*o*o)\/o) assuming o is positive.\nAnswer: o**(3635\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 - 3 = 11*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -8*l. Suppose 0*a - 4*a - 14 = -5*k, -4*k - 2*a = -6. Let b be 52\/(-28) + k + -1. Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**4\/6 - w**3 - 3*w**2\/2 - 3*w. Is g(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(1722\/(-56))*2?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**3*r - 3*f**3 + 18*f**2 - 2*f*r - 7734*f wrt f?\nAnswer: -18*f*r - 18*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.4167955km?\nAnswer: 41679.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 3*g - 1. Let j(b) = -9*b**2 + 5*b - 5. Let w(l) = -8*l**2 + 6*l - 4. Let z(v) = -2*j(v) + 3*w(v). Determine -11*k(c) + 4*z(c).\nAnswer: -2*c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 63 = 3*o + 9, 0 = 2*f + 2*o - 26. Let x(i) = 3*i - 7*i + i - 942 + 994. Let k be x(f). Solve -2*d = u + k, -u + 2*d + 12 = -1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(4*n**2 - 4*n**2 + 2*n**4 + (n - n + n**3)*(2*n + 3 - 3) + 583*n**4 + 705*n**4 - 381*n**4) as f*n + p*n**3 + b*n**4 + d + h*n**2 and give b.\nAnswer: 1822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -18. Let a be 5\/(-1) + n + -4 + -1. Let r be (-8)\/(-36) + ((-669)\/216 - a). Sort -5, r, -2\/11, 1\/3 in descending order.\nAnswer: 1\/3, r, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, and 1 j when three letters picked without replacement from kbkknkkbj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(((-4)\/(-3) + -1)\/(196\/588)). Solve 4*w = s - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33425 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: Suppose 78 = -j + 4*j. Suppose -a - j = 1. Let b be -6*6\/a*3. Solve -y + 20 = b*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 2*q**2 - 3*q + 3. Let n be d(3). Let u be (114\/95)\/(n\/(-10)). Let a be -6*(-1)\/2 + (-1492)\/u. What is the greatest common factor of 47 and a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -2 + (10 - (-119 + 160))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18ca4 (base 15) in base 6?\nAnswer: -1420331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbummqbmuunqqmm. Give prob of sequence uq.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*s + 9, 3*l - s - 29 = 0. Let p = 108 - 61. Let k = -27 + p. What is the greatest common factor of k and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 7:42 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2786 and (((-7788)\/(-196))\/(-33))\/(4\/(-14)).\nAnswer: 2786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -34, -56, -94, -154, -242, -364?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-128584\nAnswer: -7715.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -y - 486, 3*y + 93 + 287 = 4*z. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from pmpmppmpmmmm?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1035226, 1035227, 1035228?\nAnswer: 1035229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1108970366?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5 - 1984*g**4 - 7964*g**3 - 3992*g**2 + 7962*g + 5976 = 0.\nAnswer: -3, -1, 1, 996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9968 + 171681*v - 171720*v - 4986 - 4982.\nAnswer: -39*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*q + 4*f, 85*q - 88*q + 5*f - 27 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 + 11919*p**3 - 11921*p**3 - 9*p**2 as g*p**2 + r*p + m*p**3 + i and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/35 - 3\/(-42)*-8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91360 is divided by 22837.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 0*a**3 - a + 2 - 4*a**3 - 3 + 3*a**3. Let r(s) be the second derivative of s**5\/5 + s**3\/3 + 3*s**2\/2 - 43*s - 37. Calculate -2*k(c) - r(c).\nAnswer: -2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7957 or -10987?\nAnswer: -7957","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -9197679, -18395353, -27593027, -36790701, -45988375?\nAnswer: -55186049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 205 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4422024 (base 6) in base 2?\nAnswer: -110101111001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11571757 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*f + 4 = 100*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 74\/5 of a hour?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (65 + -23 + (-2 - -11))) + 5\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -56 from 7567.\nAnswer: 7623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/25)\/(-3))\/((-106)\/530)*765\/(-34)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16960*o**3 - 11713 wrt o.\nAnswer: 50880*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/(-675)*-20*9?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i + 8*i + 215 = -61 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1836) - sqrt(1836)) + sqrt(1836) - sqrt(1836) - sqrt(1836))\/((sqrt(3) + 1*sqrt(3))*5).\nAnswer: -9*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-262)\/4)\/(1\/(-6)). Suppose -3*d = -u - 171. Suppose 0 = 4*f - 2*g - d, 6*g - 188 = -4*f + 3*g. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*r + 27*r - 98 = 40*r. What is the third smallest value in r, -334, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0 + 31\/12*g**4 + 0*g**5 + 7\/15*g**6 + 0*g**3 + 2*g - 14*g**2. What is the second derivative of v(w) wrt w?\nAnswer: 336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y + 6. Let s(d) = 4*d - 5. Let v(j) = -5*c(j) - 6*s(j). Suppose -27 = 2*h + 5*q + 12, 5*q = -25. Determine v(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/355 and -34\/265.\nAnswer: 18815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 2. Let x be o(-7). Let d be x\/(-3) - 0 - 3600003. Round d to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 108, -112*d + 117*d + 0*s - 2*s - 172 = -5*s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107915*v**3 + 150903*v**2 wrt v.\nAnswer: -647490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2. Let y(l) = 2*l**2 + l - 1. Let r(w) = -48*w**2 - 12*w + 12. Let i(p) = -3*r(p) - 36*y(p). Calculate i(g(a)).\nAnswer: 72*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -28*y**3\/3 - 3*y**2 + 8*y - 35. What is the second derivative of t(m) wrt m?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -42905118 greater than -42905119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4756785418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 41259.68 and -0.2.\nAnswer: 41259.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 124 - 16 = 0. Suppose 0 = -21*v + 22*v - n. What is the remainder when 52 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(170) - (sqrt(170) + sqrt(170)*-4))*-5)\/((-1*sqrt(100))\/sqrt(10) + (sqrt(120)*-1 + sqrt(120))\/sqrt(12)).\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 522192*i. Let p(o) = -10*o**2. Determine p(v(m)).\nAnswer: -2726844848640*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 16*r**2 - 53*r + 68. Determine i(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1634420814 and 63\/10.\nAnswer: 8172104070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 11, l: 1, o: 1, q: 4, h: 2}. Give prob of picking 1 w, 1 h, 1 l, and 1 o.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 429*c. Let p(w) = 1405*w. What is p(a(i))?\nAnswer: 602745*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -21*c**3 - 4*c**2 - 3*c + 10. Let r be a(-3). Let g = -350 + r. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/293 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 3, 1 in descending order.\nAnswer: 3, 1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159 - -141. Let y = z + 23. Solve -m + y = n, -4*n + 6 + 9 = -m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*x + 66 - 40 + 120 + 57 + 157*x.\nAnswer: 58*x + 203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21264 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 522251273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11393.43 - 11345. Let w = -93 + 142. Let o = w - m. What is o rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1008039 and 446988.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-16 - -10) - (0 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 + 1)*(1060*f + 1054*f - 1550*f) to the form o*f + l and give o.\nAnswer: 3948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83659687 by -5.\nAnswer: 83659687\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -4.06. Let b = 0.27 - -0.03. What is the nearest to 0.1 in -5, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:01 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.24 from 1.1042.\nAnswer: 0.8642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 156.\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + t - 3. Let x be q(-3). Suppose 2*z = -2*y + 10, 0 = -2*z + x*z - 5*y - 17. What are the prime factors of (-40)\/15*(1 - z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 522*d**2 - 2066*d + 7. Let n be a(4). What is the highest common factor of 19950 and n?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290850551 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:40 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6051 (b) -1 (c) 3 (d) 5 (e) -5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53100 by 8850.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**5 - 16*b**4 + 18*b**3 - 8*b**2 + 4*b - 6. Let m(f) = f**5 + f**4 - f**2 + 1. Let q(k) = -6*m(k) - y(k). Factor q(i).\nAnswer: -2*i*(i - 2)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -978, -8166, -27640, -65544, -128022, -221218?\nAnswer: -351276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -45. Put -4, 3, m in decreasing order.\nAnswer: 3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22745280*d**3 - 125026*d**2 + 49?\nAnswer: 136471680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n**2 - 6*n + 2. Let k = 3 - 0. Let c be 6\/(-27) - 38\/(-9). Let x(l) = -c*l + 5*l**2 + 3*l + 6*l - 2. Give k*o(m) + 4*x(m).\nAnswer: 2*m**2 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djdkkkkkkjx. What is prob of sequence kjd?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3)*15*(-16)\/10. Is (f\/(-6) + 2)*(-6327)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 85, 158, 263, 406?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1467647 is divided by 392?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 56*i + 296. Let x(f) = f**3 + 8*f**2 - f - 14. Let k be x(-8). Let u = 18 - k. Calculate the remainder when u is divided by d(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/81 - (-814)\/(-1998). Which is the smallest value? (a) l (b) -53 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 51278774.\nAnswer: -153836322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 6*h + 48 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (12614\/(-17))\/(14\/(-21)) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3231041120 (base 5) to base 8\nAnswer: -32227345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/27 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(448)*-3 + sqrt(448) + -4)*1.\nAnswer: -16*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 13. Let d = 9 + m. Which is the third smallest value? (a) 2 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 55 = 23. Suppose 4*h = -s - 29. Calculate the remainder when (9\/4)\/(h\/(-204)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 4 - -21) + -6 + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -78246986 plus 189?\nAnswer: -78246797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 12:50 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*d**2 + 0 - d + 1\/4*d**3.\nAnswer: d*(d - 4)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-4)\/12*3. What is the second smallest value in 0.1, y, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -328890 and 0.39.\nAnswer: -328889.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2493315 to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 26 = -0*f - 5*f, 7 = -f - s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -0.4. Let h be (-10)\/14*4\/10. Let m = 174692 + -174691. Which is the nearest to m? (a) h (b) 1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.739 + -5.739. What is the third biggest value in v, 5\/4, 0.7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 1. Let t be h(2). Suppose -3*b = 4*s + 12 + 107, -s - 11 = -t*b. Let a = 33 + s. Solve -a = v - 5*x + x, 3*v + 4*x = 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 546 (base 14) to base 11\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 12*a - 1267. Give k(42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**2 + r**2 + 0*r**2 - 7*r + 7*r + 10*r**2 + (2*r**2 - r**2 - 2*r**2)*(-2 + 4 - 3) - 2*r**2 - 1 + 1 in the form c*r + k + p*r**2 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1038 + 12*x - 1038 to the form q + o*x and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n + 3. Let x(s) = s**2 - 1. Let z(a) = 12*a**2 - 11. Let l(p) = 22*x(p) - 2*z(p). Calculate l(y(j)).\nAnswer: -128*j**2 + 96*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + v**2 - v**2 + 0*v**2 + 0*v**2 + v**2 + (-v - 2*v + 2*v)*(-2*v + 0*v + 0*v) - 3*v**2 + 0*v**2 + v**2)*(-3*v - 2*v + 0*v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -d - 6*d + 22*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 23*z**4\/4 - 3*z**3\/2 + z**2\/2 - 72*z - 1. What is the second derivative of j(t) wrt t?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t - 32*t = -c - 8, t - 13 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1)\/(-4 + 1). Let l be (4 - 33\/12)*-422. Let u = 528 + l. Which is the fourth biggest value? (a) 1\/11 (b) 2 (c) h (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, o: 2, g: 1, i: 3, e: 4}. Give prob of sequence ioeg.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34799*d*h*o + d*h + d*o - 31643*h*o wrt d.\nAnswer: 34799*h*o + h + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 25*a**2 + 23*a - 8. Let i(r) = 71*r**2 + 68*r - 23. What is -6*i(k) + 17*u(k)?\nAnswer: -k**2 - 17*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 523*a**2 + 5*a + 10. Let f(r) = -262*r**2 - 2*r - 6. What is 5*f(j) + 3*v(j)?\nAnswer: 259*j**2 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 41.106. Let v = -0.094 + m. Which is smaller: -36 or v?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 36*z**3 - 2.\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:36 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 - -1313?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 2*r + 37. Let h be s(-7). Let y(z) be the first derivative of 4 - 2*z - 7\/2*z**h. Determine y(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 9*f - 15. Calculate s(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 1229*o**7\/14 + 367*o**3\/6 + o**2\/2 + 4866*o. Find the second derivative of s(f) wrt f.\nAnswer: 73740*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwhggkbs. What is prob of picking 1 s and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5864.11056 nanoseconds to weeks.\nAnswer: 0.00000000000969595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.81, -3\/13, -3, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 2\/7, 4, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -1)*-2 + -187*36\/(-1386)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9203*p - 3741 - 1719 = -9263*p for p.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 11*u**2 - 24*u - 32. Determine m(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*p + 20, p = 4*p - 5*j - 29. Let x = 56169 + -56157. Solve 0 = -p*i + x*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**4\/6 - 2698*l**3\/3 + 1797*l**2\/2 + 10792*l\/3 - 10790\/3 = 0.\nAnswer: -2, 1, 2, 5395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182264.\nAnswer: 2, 22783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 325015382+2011\nAnswer: 325017393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 20*t + 10*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*d + 11*d + 812 = 500 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144839 is divided by 144526?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -443782.5804 and -0.2.\nAnswer: -443782.7804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8177333391 to the nearest integer?\nAnswer: 90429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**3 - 2*a**2 - 4*a - 2. Let i(k) = 2*k**3 + k**2 + 2*k + 1. Give 5*i(j) + 2*r(j).\nAnswer: 2*j**3 + j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -28.61, -12, -5933?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*y - 73*y + 48 = -14*y. Let 8\/5*c**y + 0 + 4\/5*c**2 + 0*c + 2*c**3 + 2\/5*c**5 = 0. What is c?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2124 or -2101?\nAnswer: -2101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1192, 5 in descending order.\nAnswer: 5, -1, -1192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/195, 0.5, -0.04, 1, 6 in descending order.\nAnswer: 6, 1, 0.5, 1\/195, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8752 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by -2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**4\/2 + a**3\/3 - 2*a**2 - 536. Let t be (3\/6)\/((-1)\/4). Let j(l) = 4*l**3 + 2*l**2 - 8*l. Calculate t*j(k) + 5*w(k).\nAnswer: 2*k**3 + k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 + -252.044.\nAnswer: -263.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -225 - -394. Suppose a*d - 352 = 165*d. Calculate the remainder when d is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 8*f**2 + 12*f - 8. List the prime factors of d(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5227*h + 182943. Give p(35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/13)*t)**(-1\/27)\/(t\/t**(2\/7)*t*t*t*t**(-8\/5)*t) assuming t is positive.\nAnswer: t**(-12928\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -132025 by 25.\nAnswer: -5281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 4*n**3\/3 - 4*n**2 - 15. Suppose a(i) = 0. Calculate i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5547148337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178 + 182. Calculate the lowest common multiple of p and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(119)*-2 - sqrt(119))*3)\/(sqrt(14)\/sqrt(2)*3 + sqrt(7))*4.\nAnswer: -27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*a - 349*a = 169. Let i(q) = -19*q - 247. Let m be i(a). Solve 4*k + 16 = -4*f + 5*f, -3*f + 12 = m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24*-1.8\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.011 + -1.471. Let x = n + 1. What is x rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 8. Suppose 86 - 26 = s*l. Let m = -6 + l. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 4:34 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/30 + 7*c**4\/6 - 61*c**3\/6 + 61*c**2. What is the remainder when k(-18) is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.0609kg in tonnes?\nAnswer: 0.7910609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 57?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (1900\/(-285))\/(52\/(-30)). Let a = -6.1 - -6. Let q = a - 8.9. Sort q, h, -2\/5.\nAnswer: q, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 986428 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 9*g - 9. Suppose 5*h = -v + 24, 27 - 2 = -5*h. Suppose 10*m - 7*m + 135 = -3*w, 5*m = 4*w + 135. Let q = w + v. Give p(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 4*n**2 - n - 1. Suppose 5*v + 3*i = 0, -4*i - 9 = -29. Let p be j(v). Suppose -2*m - 7 = -p. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3123 - 121?\nAnswer: -3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/23, 5, 1\/10?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + 53. Let n be m\/1*3\/(-12). Solve -2\/7*a**n - 2\/7*a**4 + 0 + 2\/7*a + 2\/7*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/5 + 7 + 2\/(-5). Let y be (-20)\/(-15)*(-9)\/4. Is l bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/9 + 28\/(-126). Let a(k) = -104*k - 1. Let d be a(i). Let l = d + 155. What are 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 smallest value in 7807, 0, 2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 20*d + 38. Let c be (-1 + -23)*(0 + 9\/12). Let p be i(c). Suppose -p*b = -5*z + 2*b + 172, -5*z - 4*b = -188. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -622.0872 + 623. Let f = -0.89 + -0.01. Let v = w + f. What is v rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489623?\nAnswer: 3, 683, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2464.57 + -2324.7. Let k = -140 + y. Let x = -193\/483 + -2\/69. Is x greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368\/(-138) + 3 + -7?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 0*z**2 + 0*z**3 + 1\/2*z**4 + 26*z + 9. Find the first derivative of s(n) wrt n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*n + 381*n = -30. Solve 4*h + 5*g = 30, n*h + 5*g - 21 = 14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 781*x**3\/6 - 9*x**2\/2 - 3*x. Let t be m(-11). Round t to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 18*h**2 + 22*h - 7. Let t(k) = -4*k**2 - k - 2. Let d be t(-2). Is 9 a factor of c(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 5*u**2 + 5*u - 4. Let c(s) = -s + 4. Let p be c(4). Let v = 3 + p. Give i(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22283603941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 4*z - 12. Suppose 4*c + 64 = z*d, 15 = -2*d - 3*c + 62. What is the remainder when 72 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*d - 12229, 90*h = 86*h + d + 12223. Calculate the lowest common multiple of 2585 and h.\nAnswer: 33605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1148785896 to the nearest integer?\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-9035)\/1807*(2\/4)\/(1\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/5 + 296*l**4\/5 - 14394*l**3\/5 + 43820*l**2 + 109000*l - 150000 = 0. Calculate l.\nAnswer: -3, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16290846 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*p + 37*p = 49*p - 883310. List the prime factors of p.\nAnswer: 5, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + -2 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 511 + 217 - w + 971 in the form h*w + m and give m.\nAnswer: 1699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8077\/282 + 167\/6. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 - 2*v**4 + 5*v**4)*(-28*v - 145 + 145) + (-4*v - v + 3*v)*(0*v**4 + 3*v**4 - 5*v**4).\nAnswer: -52*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttfotftfotttttf. Give prob of sequence ott.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 a when three letters picked without replacement from ivvaivavililaavivlv.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*t + 74*t = 145*t - 56*t - 2156 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**4*p**2 - 201*b**4 + 144*p**2 + 6*p with respect to b.\nAnswer: 12*b**3*p**2 - 804*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-3*6)\/sqrt(9) + sqrt(85)\/sqrt(80) + (sqrt(68)\/sqrt(4))**2*-3.\nAnswer: -71*sqrt(17)\/4 - 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/17 - (-329)\/3995?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + 4*f + (-4 + 0 + 2)*(f + 0*f + 0*f) + 0*f - 2*f + 3*f + 4*f + 2*f - 5*f)*(2*f**4 + 9*f**4 + 7*f**4).\nAnswer: 36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -3.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/((-420)\/378). What is the nearest to -4 in 2\/15, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g - 6. Let m(y) = 11*y + 12. Let q(o) = 7*f(o) + 3*m(o). Suppose 24 - 3 = -3*t. Let a be q(t). Is 9 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364228.\nAnswer: 2, 23, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2755517803.39983 + -2754140327.4. Let p = -1377469 + q. Let b = -7 + p. What is b rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2075*n**3 + 898*n**2 + 24*n + 8. Let t(a) = -2075*a**3 + 898*a**2 + 18*a + 6. Let v(c) = -3*q(c) + 4*t(c). Find the third derivative of v(f) wrt f.\nAnswer: -12450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (2\/1)\/(-1). Suppose 8 = 3*z + r. Suppose -3*f = -f. Put 1, z, f in ascending order.\nAnswer: f, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9*c**18*(c**(2\/3))**(6\/7) assuming c is positive.\nAnswer: c**(193\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0 (c) -3\/2 (d) 509\/4 (e) 5 (f) 15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 10370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/5)\/(j\/j**(1\/13)))\/(j**(-2\/11)*(j**(-1\/5)*j)\/j) assuming j is positive.\nAnswer: j**(-101\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 528\/13, 0.3, 56, -27, -3\/4 in ascending order.\nAnswer: -27, -3\/4, 0.3, 528\/13, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 606311.1 weeks in microseconds?\nAnswer: 366696953280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*a - 2*z - 25, -2*z - 29 = 5*a. Let u(i) = -6*i**3 + 2*i**2 - 4*i - 2. Let c be u(a). Suppose -150 + c = 4*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -3. Let t = m + -8.4. Let h = t - -2.4. Which is the nearest to h? (a) 2\/3 (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 9, -5, 107, -26 in descending order.\nAnswer: 107, 19, 9, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 3*u + 2. What is y(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20174 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-3 - (2 - 0) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(120)*1)\/((sqrt(486) + (-1*sqrt(486) - sqrt(486)) - sqrt(486)) + sqrt(486)).\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/56*230\/575.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 11:06 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 10689000 to the nearest one hundred thousand.\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 15*f**2 + 13*f - 22. What is the remainder when y(-16) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i = 26*i - 12. Solve v = -y - 5, 2*y + 3*y - i*v - 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2012420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 113.72?\nAnswer: -113.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -971 + 219. Let u = -3759\/5 - g. Let 1\/5*a**3 + 0 + u*a**2 - 2\/5*a = 0. What is a?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 102. Let i(o) = -o**2 + 15*o + 34. What is the lowest common multiple of z and i(16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Suppose -a - o = -22, -4*a + 0*o - f*o = -83. Solve p - 2*b = 2*b - a, 0 = 4*p + 5*b - 37 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 19*u + 44. Let a be d(0). Calculate the greatest common divisor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -127802 = -127803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c8 (base 13) to base 16.\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -517 (base 10) to base 5\nAnswer: -4032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 493769 - 493802.0233. Let s = -0.0767 + w. Round s to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 450.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -101*d**6\/120 + d**5\/20 + d**4\/8 + d**3\/6 - 10*d**2. What is the hundreds digit of p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -891761 divided by -1.\nAnswer: 891761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 28. Let c be t(27). Let j = 216 - c. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253345 is divided by 63330?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*2\/(-14)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2. Let b(r) = -661 + 661 - 8*r**2. What is w(b(y))?\nAnswer: -192*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*n - 6*n - 11*n - 1.\nAnswer: -17*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/5 - (-10)\/(-75). Factor -2\/3*h**2 - 2\/3*h**3 + 2\/3 + j*h.\nAnswer: -2*(h - 1)*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 10*d - 7. Let h be o(11). Suppose 74 + 26 = h*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.944 + -0.056. Let w = -367 + 371. Sort 0.1, 0.07, x, w in decreasing order.\nAnswer: w, 0.1, 0.07, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v + 124. What is the remainder when k(0) is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*o**3 + 3 + (-4*o + o + 4*o)*(-6*o**2 - 8*o**2 + 5*o**2) + (4 - 1 - 1)*(-4*o**3 + 1 - 1))*(8*o + 14*o - 1 - 5*o).\nAnswer: -323*o**4 + 19*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1867712418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 + -b?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(6 - 20\/6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 7:59 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, v: 8, l: 3, d: 1}. Give prob of sequence lv.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2943 from 3.\nAnswer: -2940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m - 240130*m**3 - 240138*m**3 + 480269*m**3.\nAnswer: m**3 - 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2. Let t(w) = -22374477*w**2. What is p(t(d))?\nAnswer: -1501851663070587*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -64559, -129106, -193653, -258200, -322747, -387294?\n\"Answer: -64547*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5683029 = g + 10663080. Let i be (-29)\/((-145)\/10730550) + 1 + -2. Let j = i + g. What is j rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q - 18. Calculate o(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -9. Let h(l) = l**3 + 6*l**2 + 5*l. Let u be h(-5). Let i = u + c. Calculate the highest common divisor of 54 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + t = 0, 2*m - 17 = -7*t + 4*t. What is the smallest common multiple of m\/(-3) + 5 + (-12)\/(-9) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1221021110?\nAnswer: 1221021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + (0 - 0) + (6 - -1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110880 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 74?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**3\/6 - h**2\/2 - 2*h. Let o(a) be the third derivative of -a**4\/24 - 2*a**2 + 5. Determine -2*f(x) + o(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 943063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 7:25 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + g**2 + 2*g**2. Let h(m) = -3*m**2 + m + 1. Let q(f) = 10*f**2 - 3*f - 3. Let p(v) = -12*h(v) - 4*q(v). Determine c(p(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 12*k**2 + 8*k + 7. Let d(p) = -3*p + 7. Let q be d(6). Let h be y(q). Let o be h\/50*(-5)\/(-2). Solve o*x - b = 2*b + 22, 2*b + 28 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16790229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2036429*f - 1 + 5 - 2038703*f.\nAnswer: -2274*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 + 115. Is -6 - 9152\/(-40) - (-2)\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*c = -2*h + 146, 129 = 2*h - 5*c. Suppose -2*n - 2*n = -h. What is the highest common divisor of n and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 664\/(-34) + -122*1720\/(-10492)?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32\/20)\/((-2)\/(-10)). Suppose 0 = -4*y - 2*z + q, 7*y - 2*y = -5*z. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(1 - -2) - (1 - -2). Let v = 5 + r. Suppose 3*p = p + v. Solve 4 = 4*n - 3*y, -5*n + 40 = 3*y + p*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 57*f = -335 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = -5*j - 161. Let x = j - -185\/2. Is x greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 7, q: 4, i: 5}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -765844\nAnswer: 4595064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppxpppxpppppppxxppp. What is prob of picking 2 x?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g - 8. Let m be ((-6)\/4)\/(4\/8). Let b(n) = -n**2 - 11*n - 7. Let a(j) = m*u(j) + 2*b(j). Solve a(z) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 12. Let z(a) = -a - 5. Let g(p) = -5*q(p) - 12*z(p). Let y(s) be the first derivative of s**2 - 6 + 5 + 7 - 2. Calculate g(y(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 19*l**5\/15 + 19*l**4\/12 + 23*l**2. Find the second derivative of n(p) wrt p.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7 = 4. Let l be -1 - ((1 - 1) + -3). Let h = u + l. Solve h = -4*m + 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94270542?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*c**2 + 312*c**2 - 103*c**2 - 116*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001976 rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9166, -0.044, 0.2?\nAnswer: 9166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t**2 - 6*t - 14. Suppose 62*f = 63*f - 7. Let j be s(f). Let k = j - 191. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9630 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 331, 476, 621, 766?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8031 - 5624. Let k = -26456\/11 + h. What is the common denominator of 44\/7 and k?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39665*f**5 - 6*f**4 + 133*f**3 + f - 19081922 wrt f?\nAnswer: 793300*f**3 - 72*f**2 + 798*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.247 - 0.747. What is the biggest value in -2, -1, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/180 - (170\/(-150) + 1). Which is the third biggest value? (a) 3\/4 (b) s (c) -0.5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3577*c + 5*y = -3578*c - 26, -83 = 4*c + 13*y for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13878, -27738, -41598, -55458, -69318?\nAnswer: -83178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19296965, 77187865, 173672705, 308751491, 482424229, 694690925, 945551585?\nAnswer: 1235006215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 1.1. Suppose 6*k = 3*k + 12. Suppose -f + 2*c - 11 = 0, -k*f + 6*c - 3*c - 24 = 0. Sort f, g, 0 in increasing order.\nAnswer: f, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 14*p + 51 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -13061 not equal to -13061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 - 2?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 4. Give x(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*q - 71*q + 39 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -18\/5663, 72 in increasing order.\nAnswer: -18\/5663, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2390893 millilitres in litres?\nAnswer: 0.0002390893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 44*n**2 - 1202*n - 316. What is v(-63)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1\/3, 3, -126, 0.27305?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67677831?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxee when four letters picked without replacement from ejxjeeeej.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + -1.45. Let n = -0.19 - c. Let b = 0.1366 + n. Round b to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 710.\nAnswer: -710.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -8) + (2 - 15\/3). Suppose -y*h + 1344 = 494. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54033795683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 10*p**2 + 4*p - 13. Let l be y(10). Let f = l - 0. Suppose -f = -2*z - z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 3*v + 15, -3*v - 2*u = 2 - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 v when three letters picked without replacement from ppsvkdkvvpddmkpvsdpd.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 238694, -5 in increasing order.\nAnswer: -5, 0.4, 238694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 40*q - 231. Let z be h(-33). Let s(y) = y + 14. Let p be s(-10). Solve z = -c + 2*l + p, 0*c + c = -l - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 3 + 2)*(-4 - u + 4)*(-154*u - 187*u + 199*u) as f*u + z + c*u**2 and give c.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 - (-305)\/12. Let z = t + -25. Let k = 13 + -12. Which is smaller: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*x*y**3 - 18*x*y - 440*y**3 wrt x.\nAnswer: 9*y**3 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.024 - -25.024. Let g = 41277 - 41276.9. Let h = 0.4 + 0.6. What is the nearest to m in g, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/180607 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - o = -92. Suppose 25 = 2*k + o. Suppose -2*s + 6*s - 41 = -5*b, 2*s = -4*b + 28. Solve 7*i + v - k = 3*i, 0 = i + b*v - 24 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*s - 0*s + 2, g + 3*s = -9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - k - 3. Let s be q(3). Solve 3 = s*l - 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 1:12 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.1625.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 18682950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34655, 69308, 103961?\n\"Answer: 34653*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17, -1\/9, 3, -24?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15534 + 3174 = 12*u. List the prime factors of u.\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450887 is divided by 1354.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 799445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29 + -5 + (-2)\/2 - 4. Suppose 932 = -z*c + 14099. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 731123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 29*l - 3*l - 14*l - 12*l - 2*l**2. Let c(m) = 4*m**2. Give c(t(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1020 (base 6) to base 10\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, r: 2, f: 3, v: 4}. Give prob of sequence cc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*-1*(-89 + 0 + 1).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10157 + -2797. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuu. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6.3, 2\/7, 3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*i = -2*y - 6, 0 = -3*y - 4*i - 10. Let l be 92\/y*1\/2. Let r = l - -47\/6. Which is the third smallest value? (a) -1 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 11*c**2 + 7*c - 6. Let z be 34\/(-5) + (-1)\/5. Is j(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1191, -1283, -1377, -1473?\n\"Answer: -n**2 - 89*n - 1101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 979\/4 + (-3)\/(-12). Let x = -67 + m. Is x\/((-3)\/((-3)\/2)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2712084, -5424243, -8136402, -10848561?\n\"Answer: -2712159*a + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -7 + 46. Let k = -1 - -5. What is the remainder when h is divided by (-3)\/6*-5*k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1*0\/1. Suppose p - 19 = -x. Is 5 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from tjjbftw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -270*y. Let g(h) be the first derivative of -h**3\/3 - 273. What is g(u(c))?\nAnswer: -72900*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 - 133. Sort -2, y, -5, 2\/3 in decreasing order.\nAnswer: y, 2\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 53*o**3 - o**2 + 1. Suppose 3*u = -3*i - i + 20, 5*u = -4*i + 28. Suppose -4*a = 2*f - 8, 0 = -3*a - f + u + 1. Is s(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 4*b. Does 5 divide 29 + 2 + 0 + (b - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 141, -4943 in descending order.\nAnswer: 141, 16, -4943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 10*q + 127. Let f be v(6). Sort -3, f, -5, 4 in increasing order.\nAnswer: -5, -3, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/(-672) + 695\/8. Let s = -29 - -60. Suppose -s = -k + w. What are the prime factors of k?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 6*l**3\/7 - 159*l**2\/7 + 75*l\/7 + 78\/7 = 0.\nAnswer: -1\/2, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 9. Suppose -3*u = 9, i*s + 5*u - 30 = -9. Calculate the smallest common multiple of s and 353 + 2 - ((-1926)\/(-856))\/((-1)\/4).\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 587 - 377. Let n be 9\/18*-7*(-16)\/14. Suppose -5*s = -i - 8 - 251, -2*i + o = n*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4322 + -4503. Let n = -179.028 - 2.702. Let r = f - n. Round r to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498136622 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1629?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 252a11 + -4?\nAnswer: 252a0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3 + 1 = 0. Let j be x\/((-1)\/(-6))*1. Let g(o) = -o - 7. What is g(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18984 is divided by 134?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 > -1398570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588 is divided by 519?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*c + 5*s - 33, c + s - 20 = 0. What is the remainder when 43 is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 26 = -4*d - 7, -6*d - 81 = -3*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 3:01 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.0938 - -1.898. Round f to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 8*v + 18*v**3 + 7*v**3.\nAnswer: 25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**2\/10 - 68*o\/5 + 2112\/5 = 0.\nAnswer: 48, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808680 - 878891 = 11797*q + 1321835 for q.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 3*l + 7*l + 6*l**2 + 2.\nAnswer: 2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 29*i**3 - 25*i**2 - 5*i. Let d(x) = x**3 - x. Let c(t) = 5*d(t) - r(t). What is the third derivative of c(l) wrt l?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(-13*l - 7*l**2 + 13*l - 14) as u*l**2 + m + i*l and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**9\/1680 - d**8\/320 + d**6\/60 + 7*d**4\/24 - 18*d**2. Let m(j) be the second derivative of x(j). Factor m(z).\nAnswer: 3*z*(z - 2)*(z - 1)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 1903590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -42\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y - 5*y + 14 - 14. Let v(w) = 2*w**2 + 41*w. What is m(v(a))?\nAnswer: -4*a**2 - 82*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 49*n**2 + 50*n + 3. Let j be x(-50). What is the highest common factor of j and 627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1700) + -3)**2 + ((sqrt(17) + 0 + 2)**2 + sqrt(17) - (sqrt(17) - (6*(1 + sqrt(17)))**2)).\nAnswer: 16*sqrt(17) + 2378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -529*m + 532*m - 9. Let f(j) be the first derivative of 3\/2*j**2 + 4\/3*j**3 + 0*j + 1. Let p(z) = 7*z**2 + 5*z. Calculate m*p(l) - 5*f(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (0 + -94 - (-357 + 360)) - -2?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27192575?\nAnswer: 5, 29, 37507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91533722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-109 - -119) + (-49)\/1.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 11 - 10*b**2 + 0*b - 3*b - 7*b. Give z(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 46508.\nAnswer: 139524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -148 = -151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -31. Let r be (-1)\/(l\/5 + 3). Let q = 6 - 10. What is the third smallest value in q, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -8. Let i = n + 9. Solve 0*l + i = 2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000337574 to 5 decimal places.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(18) + 0 + 5)*-6.\nAnswer: 90*sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:51 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*x - 4 = 0, x - 4 = -4*r + 3*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16*w + 36. Give p(9).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 153*d. Let j(f) = 14385*f. Calculate -2*j(l) + 189*z(l).\nAnswer: 147*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - p = -4*f - 18, -p - 7 = -f. Suppose -73 = -12*w + 35. Suppose -f*l = 5*i, 0 + w = 4*l + i. Solve s + l = 0, k = -4*k + s - 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaxoxxaxrxaxaxxaao. Give prob of sequence ax.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58.8 - -58.8. What is the nearest to y in 0.4, 1\/12, -2\/11?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15312 (base 13) to base 12\nAnswer: -1b230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 444, 734, 1248, 1992, 2972, 4194?\n\"Answer: p**3 + 106*p**2 - 35*p + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f**3 - f**2 + 2*f - 1. Let p be j(1). Let m(d) = -2*d**3 + 5*d + 6. Is m(p) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8.99? (a) 43.2 (b) 0 (c) -0.3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by -7.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*a = -9 + 89, 0 = 4*v - 3*a + 115. Let k = v + 34. Let u be (3 + -4)\/((-2)\/k). Solve -u*n + 2*r = -2*r - 32, 5*r + 29 = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1558 and 14\/36613?\nAnswer: 73226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.07.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2969998 - (-7 - -6)\/(1\/(-2)). Round o to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5549*h**2 - 31*h - 31. Let w(p) = -555*p**2 - 3*p - 3. Determine -3*k(t) + 31*w(t).\nAnswer: -558*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + s = -31, -5*k + 65*s - 60*s + 50 = 0. Suppose 3*l - 9 = -j - k, 0 = -2*l + 3*j + 5. Are l and 1\/323 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*q - 196421, q + 12*y - 39275 = 16*y. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 16 = 5*y, -4*y + 19 - 11 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**4 + 214*f**3 + 8416*f**2 + 39794*f + 17820 = 0.\nAnswer: -22, -5, -1\/2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + u. Let k be s(-1). Let z be 3 - 2 - (-1 + -1). Let h be ((-4)\/z)\/(6\/1). Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4531413 (base 7) in base 8?\nAnswer: 2112317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 982 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: Suppose 4*x - x = 3. Let u = -6 + 3. Let j = 1 + 3. Which is the closest to x? (a) j (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -30, -41, -60, -93?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -254310.8 to the nearest 100.\nAnswer: -254300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -626.509332 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -620\/9 - -622\/9. Let h = 61 - 121\/2. What is the nearest to 0.2 in w, h, -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 12*p**3 - 4*p**2 - 10*p**3.\nAnswer: -p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -1265906?\nAnswer: -10127248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 times 48.59\nAnswer: -17.4924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/290*-74)\/((-15)\/(-825)*11).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318058 is divided by 63596.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 25. Suppose -5*a = 0, -3*f + 60 = a + p*a. Suppose z + f = 6*z. Solve 3*q - 4 = 2*t + 6*q, -z*t = 4*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjyj when four letters picked without replacement from {y: 2, j: 4, m: 6, z: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 43710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 304441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158199173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 97761 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 440\/120 + 6\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z + 44. Let j be i(11). Suppose -q = q - 40. What is the least common multiple of 81\/21 - j\/77 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 4*w**3\/3 - 4. Let n(a) = 12*a - 27. Let u(b) = -b + 2. Let i(c) = -2*n(c) - 27*u(c). What is q(i(h))?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*c - 1155*c - 1225*c.\nAnswer: -1997*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70143, -140545, -211451, -283113, -355783, -429713, -505155?\nAnswer: -582361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*i**4 - 32*i**2 + 11*i**3 - 12*i**3 + 1 - 3 + 38*i**2 to the form g*i + v + j*i**3 + b*i**4 + m*i**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-13)\/(p**(35\/4)*p) assuming p is positive.\nAnswer: p**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - v - 100, -27*n - 250 = -32*n + v. What is the remainder when n is divided by (19\/4)\/(1\/4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/8 and 385\/(-50) + 10\/(-25).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.218, -4, 0.3129, 0.1, 2\/15?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -9, 16, 59.7, 3?\nAnswer: 59.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5 + 1 - 26*c**2 as z*c**2 + v + b*c and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5271, -5256, -5217, -5142, -5019, -4836?\n\"Answer: 2*w**3 + w - 5274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -530650*s + 2307782 wrt s.\nAnswer: -530650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 12:41 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382 = -71*p + 70*p. What are the prime factors of p?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-6) + (-1)\/(-3). Suppose 39*n - 147 - 9 = 0. Solve -n = p*q + 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1784199.0218 and 9.8.\nAnswer: 1784208.8218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -21*n**3 - 21*n**2 - 63*n - 18. Give u(-5).\nAnswer: 2397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9588562?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.49 + -0.59. Let l = 1696\/3 - 566. Sort -5, l, w, -1.\nAnswer: -5, -1, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/13, -2\/13, -0.5, -2\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*w + 15 - 15 + w**2 to b + y*w**2 + m*w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134055*b**3 - 259 + 134046*b**3 - 2*b + 3*b - 2*b.\nAnswer: -9*b**3 - b - 259","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -64*k**5 - 1449568*k**4 - 5072996*k**3 - 6612800*k**2 - 3804564*k - 815256 = 0.\nAnswer: -22646, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 13, 4\/99, 0.2 in increasing order.\nAnswer: 4\/99, 0.2, 4\/3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r - 987 = 5*g, -995 = 5*g + 5*r. Let x = g + 201. Calculate the highest common factor of 81 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i = 66 + 24 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + 275\/5 - -2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -51831632246 and -0.07.\nAnswer: -51831632246.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6365067.67 rounded to the nearest one thousand?\nAnswer: -6365000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -45*t**2 - 7*t - 9. Let h(q) = 41*q**2 + 6*q + 7. Calculate 4*g(w) + 5*h(w).\nAnswer: 25*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -9*z - 15. What is the second smallest value in -0.4, 1\/4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, s: 1, o: 2, f: 10, m: 6}. What is prob of picking 1 o and 1 m?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 411013 (base 5) to base 4\nAnswer: 3033022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9563, -19135, -28707, -38279, -47851, -57423?\nAnswer: -66995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 35. Solve 3*i - 9 = -5*o, i - 2*o = -4*o + h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.24 and 0.1?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/2)\/n)\/n)\/((n*n*n\/(n*n**(-4\/7))*n)\/n*n)*(n**(-1\/3))**(23\/4) assuming n is positive.\nAnswer: n**(-755\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o. Suppose 5*s - 19 = 21. Let y(b) = -617*b - s*b**2 + 617*b. Calculate y(t(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -40850000 to the nearest one million.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 98?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 divided by -18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/8 and 53\/2284.\nAnswer: 4568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 200031 + -114134?\nAnswer: 30342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shssoooshohhsslhoh. Give prob of sequence so.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 593277865 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + -1)*(-4)\/(-6)*-3. Solve -v + j*a = 7*a, -2*v = -3*a + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0 + (-4 + 5 + 1)*(-2 + 3 - 2))*(-3*s - s + s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907691 to the power of 1\/2, to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -794\nAnswer: -158.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 1. Let z(w) = 12*w**4 + 12*w**2 - 2. Let c(r) = 2*f(r) - z(r). What is the third derivative of c(o) wrt o?\nAnswer: -288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 2}. What is prob of sequence ede?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8571 divided by 2857.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -27*u + 2. Let j be 4\/(-36)*-723 - (-3)\/(-9). Let h(b) = j + 2*b - 37 - 43. Give h(m(f)).\nAnswer: -54*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314127 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6335382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115 - 114.8. Is o at least -0.013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187884 divided by -46971.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*c + 20, 0*s = -3*s - 4*c - 12. Let y = 4 + s. Let v(f) = -f**2 + f + 14. Calculate v(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 7 + 3. Suppose 0*u - o = -u. Solve -u*h + 13 = -12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-11)*(q**(-2)*q)\/q)**(-3\/17))**(-2\/3))**32 assuming q is positive.\nAnswer: q**(-832\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2050, 4104, 6158, 8212?\nAnswer: 10266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:24 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 7\/4, -1533, 3 in ascending order.\nAnswer: -1533, 2\/5, 7\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 5*j - 5*j)*(3 + 2 - 3)*(-4 - 2 + 3).\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -3*d**2 + 0 - 2*d - 1\/6*d**3. Let f(m) = 1. Let i(l) = -25*l - 265. Let s be i(-11). Determine s*f(k) + 2*u(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 0)*3.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1.792 * 0.00134\nAnswer: 0.00240128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.5. Let d = -5 + 3. Let v be d\/2 - 7\/(-5). What is the smallest value in 2, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(243) + 3)*-3 - 3*2*sqrt(243)))**2.\nAnswer: 648*sqrt(3) + 19699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4528 >= 4528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 3:36 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5 + 2*v**2 - 2 - 2 + 5*v. Let g = -2 + -2. Is n(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 52*t + 603. Give w(-8).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 1. Let k(c) = -c**3 + 2*c - 2. Let r be k(2). Is (-2)\/r*2*n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14082)\/210 + ((-10)\/1225)\/((-3)\/(10 - -11))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48045 is divided by 696?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -56. What is the smallest common multiple of g and 1*(-28)\/(-2) + 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/103289 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 513 and -6019.76?\nAnswer: 6532.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 314, 309, 302, 293?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/64 of a kilogram?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o = 3*m - 6, 0 = -o - 2*m - 2. Let x be (-2)\/o*(-16905)\/(-46). Is x less than -124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 252, -56, -1\/30?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 489626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*j**4*s**2 + 39*j*s**2 - 2*s**2 + 1041*s + 6 wrt j.\nAnswer: -120*j**3*s**2 + 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121.22 + 120. Let d = 0.18 - m. Let s = -1.6 + d. What is the second biggest value in 0.3, s, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 5*b - 3*t, 5*b - 2*t = 2*t + 268. Suppose -b = -4*q + 4*p, 0 = 4*q + 3*p + 2*p - 20. Suppose -2*g + g + q = 0. Solve z = -z - g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/7004 and -41\/15210.\nAnswer: 53265420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*n + 3367 + 3584. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525\/147*7*3*(-1)\/(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(275))*4.\nAnswer: -40*sqrt(11) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/26*19\/171. Which is greater: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 7*m**2 - 7. What is the tens digit of q(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 8*h**2 - 5*h + 6. Let j be s(-9). Let t = 104 + j. What is the remainder when t is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.018 and 54?\nAnswer: 54.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63598771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2679943, -3, 0.\nAnswer: -3, 0, 2679943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11508211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8*((-36)\/(-8) + -4). Suppose 6*t = 4*t - g. What is the smallest value in 0.12, -0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14125*s + 14834 wrt s.\nAnswer: 14125","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tii when three letters picked without replacement from ttgciti?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26387 + 49462 + 2*n**3 - 23075.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 3\/5, 0.3, -4\/179?\nAnswer: -4\/179","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -416\/23, -1\/4, -2, -2\/3, -0.3 in decreasing order.\nAnswer: -1\/4, -0.3, -2\/3, -2, -416\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 9 + 9)*(2 + 2 - 2) + 4*s - 3*s - 2*s + s - 3*s + 0*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14\/132)\/(-7))\/(6\/(-8)*(-300)\/(-1800))?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*k + 3 + 0)*(4*k - 9*k + 2 - 3*k) to q*k**2 + j*k + c and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from igimbrruuirrr.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -88, -7, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -54886*c. Let b(v) = v**2. What is b(m(y))?\nAnswer: 3012472996*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 0.4\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*b**2 - 1)*(6*b + 0*b + 0*b)*(76 + 25 + 256).\nAnswer: 6426*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -245*p**3 + 1598*p**2 - 864*p + 116. Let j(c) = -490*c**3 + 3199*c**2 - 1727*c + 233. Let o(d) = -4*j(d) + 7*q(d). Factor o(f).\nAnswer: 5*(f - 6)*(7*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, 26, 4 in increasing order.\nAnswer: 1.8, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:30 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51 - -64) + (0 - 2) - (-2 - (4 + -70))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 12*n**2 + n + 10. Let g be o(-12). Calculate the remainder when g\/11 + 175\/55 + 26 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**6\/12 + w**5\/60 - w**3\/6 - 12263*w**2. Let o(q) = -q**3 + 7*q**2 - 7*q + 5. Let g be o(6). What is b(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.839787 nanometers?\nAnswer: 0.000009839787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1776113 or -1776114?\nAnswer: -1776114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 3, g: 5}. Give prob of picking 2 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2587 + -2.7587. Put -3, u, 0 in decreasing order.\nAnswer: 0, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Collect the terms in -10*l - 75 + 75.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6640\/(-50)*(-50)\/4 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -37, -56, -83?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/((2016\/1176)\/((-9)\/21))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1876 and 11524.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 4*h + 117. Suppose h = 3*a - 8 - 1, -n - a = -3. What is the closest to -1 in n, 0.5, 51, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -8. Suppose b = a - 6*a + 10. Solve 0 = -2*d - a*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17949 + 41703. Calculate the highest common factor of u and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -780 (b) -0.12 (c) -62.3 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1659 + -1658.8. What is the nearest to h in -0.5, 1\/2, -21?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*f + 486 = -526 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 5:30 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -896*o - 252700. Determine q(-282).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541 is divided by 113.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42.5 and -0.127?\nAnswer: 5.3975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by -71\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(0 + 6)*0\/1. Suppose 4*n - 23 = 25. Calculate the common denominator of -1\/7 and k - 3 - (-338)\/n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -983 and -2161.3.\nAnswer: 2124557.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12*-0.02454\nAnswer: 0.29448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 0) + (24 - (9 + 17))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, g: 1, x: 10, l: 4}. Give prob of picking 2 l, 1 x, and 1 g.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -182 divided by -1?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372955843.\nAnswer: 13, 17, 1687583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -584139, -1168054, -1751969?\nAnswer: -2335884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*s**2 - 61*s**2 + 14*s**3 + 49*s**3.\nAnswer: 63*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 10:32 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.16 - 0.09. Let r = 0.05 + v. Let p = 2\/27 - 11\/27. Sort p, r, 3.\nAnswer: p, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -23*x**7\/5 + 15187*x**5\/60 - 7*x**2 + 323*x. Find the third derivative of s(j) wrt j.\nAnswer: -23184*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.7227 rounded to one dp?\nAnswer: -190.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = s + 2262. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/2985 (b) 1 (c) -4 (d) -5 (e) 0 (f) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-3)\/sqrt(3) + sqrt(28))\/sqrt(4).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 184 = -5*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074459 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -139 (base 12) to base 4\nAnswer: -2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1631*j**3 + j**2 + j + 441455 - 441455 to h*j**2 + o*j + w*j**3 + x and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6807620 and 680762?\nAnswer: 6807620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 5*p = 0, -5*p - 2 = 5*u + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.3 (b) 19 (c) -1 (d) 5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 124 + -73. List the prime factors of a.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161950 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*a - 46*a = -3*n, 0*a + 20 = -2*n - 4*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-2\/5) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 6*p**2 - 4*p + p**3 - 3*p**2 + 5 - 3*p**2. List the prime factors of j(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1827999 divided by 2011\nAnswer: -909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 15*g - 14. Let d be b(-13). Let n be (-1 - 4\/d)*-21. Let u be n\/12 - 3\/9. Let w(h) = -5*h. Calculate w(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**4 - 3 - 102062*c**2 + 102063*c**2 - 8*c - 2*c**4 to b*c**3 + k*c**2 + p*c + s + v*c**4 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17555*d + 3*v = 17550*d - 47, 12 = -3*v for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2601 - 976 = -25*b. Are 1\/3 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*t - 236*t + 39148 - 39344 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57743 and -0.2.\nAnswer: 11548.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -304 + 88. What is the remainder when (z\/7)\/((-32)\/560) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -27*p**5\/5 - 15*p**2\/2 - 7. What is the second derivative of y(h) wrt h?\nAnswer: -324*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:18 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -367 - -583. Let b = -213 + t. Let a = -0.9 + 1. Sort a, b, -4.\nAnswer: -4, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**7\/105 - l**6\/30 + l**5\/30 - l**2 + 3*l. Let x(v) be the first derivative of p(v). Let x(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 14266 = 12*h + 2*r, -2*r = 5*h - 23782. Does 37 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -953.282128 rounded to zero decimal places?\nAnswer: -953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9 - 6 = 0. Suppose -a + b*j + 23 = 0, 4*a + 4*j + 3 + 1 = 0. Solve -a*o + 0 = 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.75 * -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 9. Suppose 2*n - 3 - 7 = x. Suppose 2*p + 3*p - 25 = 0, -3*p - 15 = -n*g. Solve 2*t = 5*t + g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0043438585 rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-4) - 3)*(-5)\/(-20)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, r: 9, y: 7}. Give prob of sequence ww.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 - 49. Let g(x) = 24*x - 18*x - l*x. Let k(z) be the second derivative of -z**3\/6 - z. Calculate g(k(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42950 + 42948 + 117*p - 389*p)*(0 + 2 - 4) as o + d*p and give d.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*m = -2, i - 6*i - 5*m = 30. What is the third smallest value in 2, i, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-4)\/(-3)) + (-727233)\/(-156) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4760383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuiunxuduuuu. Give prob of sequence xd.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvffrmrmllgrrrm. What is prob of picking 1 f and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 22*k - 248. Let o be v(-7). Suppose b - 72 = 5*b + 4*z, -b - 28 = -4*z. Let c be -1 - (b\/6 + 2). Sort o, 6, c in ascending order.\nAnswer: c, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540156231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(88)*-1)\/(sqrt(200) - -1*sqrt(200)) + (sqrt(4400) - sqrt(4400)*1)\/(sqrt(4) - (sqrt(4) - -2*sqrt(4)*4)).\nAnswer: -2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -55. Solve 2*l - 7*l + 15 = -2*j, -y = -5*l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129218, -258438, -387658, -516878?\nAnswer: -646098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 282683 and -1666787.\nAnswer: -1384104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -1928140 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -1157, -2, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33150409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9421.\nAnswer: 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15770, 31541, 47312, 63083, 78854, 94625?\nAnswer: 110396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from caaaaaaaaaccaaacaaaa?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3547213 kilometers to millimeters.\nAnswer: 354721.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 4 - 4 + 3 + j. Let i be d(0). Suppose -33 = -i*n + 57. What is the greatest common divisor of n and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 3*b + 20, 3*b - 5*k + 24 = -1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5172491 is divided by 2001.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*(sqrt(7) + sqrt(84)\/sqrt(48) + 1))*-6*2 + -3.\nAnswer: -90*sqrt(7) - 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**8\/448 - 181*m**7\/70 + 43921*m**6\/40 - 181476*m**5 + 1749600*m**4 - 6912000*m**3 - m**2 - 260*m - 2. Factor k(c).\nAnswer: 3*(c - 240)**3*(c - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340949 is divided by 28405?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9821044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-90))\/((16\/10)\/(-4))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -11*c**5\/10 - 34*c**4\/3 - 37*c**3 - 18*c**2 + c - 28. Determine b so that m(b) = 0.\nAnswer: -3, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, 1 l, and 1 p when four letters picked without replacement from {l: 1, f: 1, h: 2, y: 1, p: 1, z: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/20 of a millisecond?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 77?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201 + -2023?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*y - 8*y + 3*y - 13*y - 2328*y**2 in the form c*y**2 + b*y + g and give c.\nAnswer: -2328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 9*g - 3*d + 2206 = 0, 0 = -g + 4*d + 432. Suppose 4*q + 5*n = -q + g, -6 = 2*n. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31428, -31485, -31594, -31755, -31968, -32233, -32550?\n\"Answer: -26*x**2 + 21*x - 31423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 12:28 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/6384?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*sqrt(99) + -5 - (sqrt(99) + -2 - sqrt(99))*5)**2.\nAnswer: 300*sqrt(11) + 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from dddddlddddl?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 59*l + 153*l = -13*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7983 is divided by 7903?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**3*x + 124132*i**3 + 2*i**2 - 1957*i*x + 511*x wrt i.\nAnswer: 42*i*x + 744792*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15601067?\nAnswer: 15601067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7 + 66\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 4*o**2 + o - 3. Let g be v(4). Suppose g = 2*b - b. Let q be (30 + -30)\/(0 + 1). Solve q = f - 0*f - b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**2 + a**2 + a**2. Let q be (-3)\/(-18) - 33\/(-18). Let u(b) = b**q + 2*b**2 - b + b. Give u(s(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.1. What is the closest to t in 0.5, -2, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 2. Let r(g) = -g + 2. Let x(o) = i(o) - r(o). Let c(t) = -t - 1. Determine -2*c(w) - x(w).\nAnswer: 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39986 + 40038.0064. Let s = -52 + y. Round s to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 12*n + 75. Let a(v) = 633*v + 5. Let u be a(0). What is j(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 725 = 13*c + 557 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 + j**3 - 7*j**2 + 0*j**3 + (0 + 0 - 2*j**2)*(2*j + 1 - 1) to the form m + b*j**2 + h*j + u*j**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 6. Let m be (i\/10)\/((-2)\/(-6)). Let s = 0.2 + 3.8. Sort m, -2, s in descending order.\nAnswer: s, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/8)\/((-8)\/(-656)). Which is smaller: -204 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 2, s: 3, w: 3, h: 1, j: 2}. What is prob of sequence fh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -36*d - 31. Let i(x) = -66*x - 62. Determine -9*c(z) + 4*i(z).\nAnswer: 60*z + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*r = 444*r - 54023 + 22138 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/20 + (-27)\/(-140). Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 2. Let w be ((-18)\/(-22) - 1) + (-219)\/(-55). Let i = 119\/30 - w. Sort r, -2\/11, i in descending order.\nAnswer: r, i, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -290 - 66. Is u\/3 + 1\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwwwwwwyq.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 228*g + 3 = -227*g, -38*q - 91 = 3*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-35)*7*(-2)\/(-4)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -946*d + 21499 - 1068 = 1245*d - 19007 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -180*o - 1446. Determine n(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35554 by 58.\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4 (b) -2\/9 (c) -1 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -117. Suppose x = i - 2 - 0, u = -3*i + x + 10. Solve i = q + 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2096139 divided by -4.\nAnswer: -2096139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1257634 or -11\/4?\nAnswer: 0.1257634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -597*g + 1854 = -391*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*r - 338, -170*k + 3*r = -177*k + 106 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -2*o**3\/3 - 3*o**2\/2 + o. Let l be (1 + -2)*(-2 - 0). Let b be 24\/(-13) + l\/(-13). What is v(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1425897 - 7468*w - 1425897)*(4*w**2 - 4*w**2 + 2*w**2)*(w + 0*w + 0*w) as n + s*w**3 + h*w + a*w**4 + p*w**2 and give a.\nAnswer: -14936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2701 + -915. List the prime factors of g.\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -15102654?\nAnswer: -15102655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4689373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Let u = 15 + -17. Let o(g) = g**3 + 3*g**2 + g - 2. Let z be o(u). Determine m(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**2 + 40927149*j + 204635670 = 0. Calculate j.\nAnswer: -13642378, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/17631 and 127\/6.\nAnswer: 35262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c + 36. Let o be b(16). Suppose o*y - 10 = 2, -q + 13 = -y. Solve 6*u + 3*k = 2*u - 22, 4*k + q = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-1) + (-4 - 1). Solve 5*u - 18 = 2*d, 4*d + 4*u - 33 + b = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00477075 rounded to five decimal places?\nAnswer: -0.00477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*m**3\/7 + 33466632*m**2\/7 - 11155538*m\/7 + 132804.\nAnswer: -2*(m - 464814)*(6*m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -0.4, 1081?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97822945 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -992\nAnswer: 3968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 k when three letters picked without replacement from {e: 1, y: 6, q: 8, k: 1, o: 2, j: 2}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66717 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8910c5 (base 15) to base 6\nAnswer: 352014505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 11*w - 9 = 0. Suppose -w*z = -5*y - 42, -2*y = -2*z + 2*y + 26. Let r be 1 + z + (-24)\/(-8). Is r at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbulljgluuluuguumb. Give prob of picking 1 m and 3 u.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*t, -435 - 75 = -3*v + 4*t. Suppose 2*i = 2*l + v, 3*i - 2*l = -i + 328. Let a = 49 + -40. What is the highest common factor of a and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 9, -3 in ascending order.\nAnswer: -4, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30859\/55 + -561. Let g = 9\/31 + -37\/341. What is the smallest value in 2\/13, u, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355833077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1358 - -1452. Solve c = 33*k - 104 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 14. Let h be t(-12). Let s(y) = -2*y + 19. Let f(l) = 3*l - 38. Let o(v) = 4*f(v) + 7*s(v). What is the lowest common multiple of 1 and o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310201333 (base 4) in base 8?\nAnswer: 1644177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yss when three letters picked without replacement from syfysjsffffjssjjyfs.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -j + 3, -j - 2*j = -l - 9. Find the second derivative of -14*a**2 - 30*a + 12*a + l + 0 wrt a.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 345310868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4*c + 20, 5*a - 3*a - 5*c - 10 = 0. Solve -4*m + a - 13 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1332*a + 10. Let l(c) = -c**2. Give w(l(p)).\nAnswer: 1332*p**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.051 (b) -0.01 (c) 143 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/4 - 1. Let l be 1\/2*(7 + 5) + -6. Factor l + u*r**2 - 1\/4*r.\nAnswer: r*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/18)\/(((-2)\/(-14))\/((-123)\/(-2296)*-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*k = 223*k - 87 - 98 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 7*g**2 + 9*g - 12. Let a be c(8). Let y(v) = -9*v + 8. Let m be y(4). Let h be m\/8*2*1. Which is greater: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16212 - -16285. Solve -k - 9 = 3*l, 2*l - h*k + 74*k + 5 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from sssasxvv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p + 5*p - 4*p + 0*p - 4*p + 2*p + 4*p + p - 3*p + (-2*p + 0*p + p)*(1 - 3 + 1) - p - 2*p + 5*p + 4*p - 2*p - 3*p + 10*p - p + 2*p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4)*o\/o**1*(o**(-2))**(6\/5) assuming o is positive.\nAnswer: o**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (17 - (37 - -17) - -13) - (14 - -5).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**3 - j**2 + 2*j - 2. Let f(l) be the first derivative of 4*l**4 - l**3 + 3*l**2 - 7*l + 22. Give -2*f(i) + 7*g(i).\nAnswer: 3*i**3 - i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 3. Determine c(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7807*u**3 + 3767*u**3 + 2775*u**3.\nAnswer: -1265*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 c when four letters picked without replacement from {c: 8, m: 6, s: 1}?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 - 3674924*c\/3 - 3376266601444\/3.\nAnswer: -(c + 1837462)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 245932 times 2\nAnswer: 491864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - c + 12. Let a be n(0). Suppose 8*g - 6 - 90 = 0. Solve -5*h + a = -i - 1, -2*i - g = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-39)\/4)\/(6\/16). Let s = a - -49. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -46153, -46141, -46121, -46093, -46057, -46013?\n\"Answer: 4*j**2 - 46157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/(3*7\/9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 10:56 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 668666 <= 668666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/9 and 149\/4410000.\nAnswer: 4410000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r - 21 = 5*c, 25 = 5*r - 3*c. Let d be 0 + 3\/r + (-9)\/6. Suppose 3*z + t = 238, 2*t + d*t = 3*z - 253. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 5020213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o. Suppose 0 = 5*v - 4*v + 5*f - 652, -4*v + 4*f + 2728 = o. Let q = -468 + v. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -46, -115, -212, -337, -490?\n\"Answer: -14*i**2 + i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 56229125 divided by 1\nAnswer: 56229125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 231 + -165. Calculate the greatest common factor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60324.\nAnswer: 2, 3, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 17*u - 2. Let f(m) = -m. Let k be f(-2). Let v be (k\/8)\/(5\/20). What is the units digit of j(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8682 - 8682 - 5*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(1*sqrt(1216) - sqrt(19)) + -3)**2 + ((sqrt(114) + (-3*sqrt(114) - sqrt(114)))*-5)\/sqrt(6) + 0)*-2.\nAnswer: -29810 - 366*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 9*b**2 - b + 21. List the prime factors of q(9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15568 and 3477502?\nAnswer: 27820016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**4 - 2134472*w**3 - 10672377*w**2 - 17075812*w - 8537908 = 0. What is w?\nAnswer: -2, -1, 2134477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2313134 + 120?\nAnswer: 2313304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -57546, -230063, -517606, -920175, -1437770?\n\"Answer: -57513*p**2 + 22*p - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -313, -1, -3, 2 in descending order.\nAnswer: 2, -1, -3, -5, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twelve fifths of a litre in millilitres?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:59 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-26)\/f))\/((f*(f*f**(-13))\/f*f)\/f) assuming f is positive.\nAnswer: f**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1171, 4695, 10569, 18793?\n\"Answer: 1175*r**2 - r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2124599311.\nAnswer: 37, 57421603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 - 111. Suppose 0 = -3*k + 12, -6 + 1 = o - 2*k. Let h be o\/2*(-12)\/(-18). What is the highest common factor of d and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2988 and 828.\nAnswer: 68724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 2*u + 17, 177*f = 5*u + 174*f - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.98 - -12.98. Put -3\/8, -0.1, s, 94 in ascending order.\nAnswer: -3\/8, -0.1, s, 94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 - 155*p**4 - 16*p**2 + 28184*p?\nAnswer: 40*p**3 - 1860*p**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 11. Let f = -1 - -0.9. Let o = f + 0.5. Which is the third smallest value? (a) -1\/3 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 7:57 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3123001 + -1021?\nAnswer: 3121320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 + 371814?\nAnswer: 371838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x + 8. Let i(a) = -a - 3. Calculate i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*u - 76 = -59*t + 41*u, t + u + 16 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 8*c**2 - 8*c + 9. Let y = 16 + -9. Let w be m(y). Suppose -4*u + 54 = -w*u. Calculate the remainder when 52 is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 12779 in ascending order.\nAnswer: -2, 3, 12779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02254 + -10.87746. Put y, 2, -3, 1 in decreasing order.\nAnswer: 2, 1, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-13)*d\/d**(-8\/5)*d*d assuming d is positive.\nAnswer: d**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6292 is divided by 199?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108601 or 543004\/5?\nAnswer: 108601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 4. Let n be (12\/9)\/((-6)\/(-18)). Is n smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 26.4. Let p = s + -3.6. Suppose 2*t = 17 - 13. Which is the biggest value? (a) p (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 5*u - 1, 5*u + 14 = 3*i. Let d be (i\/204)\/((-21)\/(-548)). Let n = 5\/51 - d. Sort -2, n, -1\/3 in descending order.\nAnswer: n, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -49\/30*d**5 - 115\/3*d**3 + 122*d**2 + 0 + 0*d**4 + 0*d. What is the derivative of c(a) wrt a?\nAnswer: -196*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1756*t + 35 = 5*j + 1751*t, j + 37 = -10*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 35*w - 24*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3569 and 430.\nAnswer: 35690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 164433714 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3622)\/10866*-1*(-3)\/23\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 + 4427596*l\/11 + 2450450792402\/11.\nAnswer: 2*(l + 1106899)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 10:46 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -294580, -1178285, -2651110, -4713049, -7364096?\n\"Answer: k**3 - 294566*k**2 - 14*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*3\/2*-3*8\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 2*h. Let y(g) be the first derivative of -3*g**2\/2 + 23*g - 5. Let p be y(8). Which is greater: p or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14785 by -5.\nAnswer: 2957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -48, -36, -2, 60, 156, 292, 474?\n\"Answer: l**3 + 2*l**2 - 17*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 89*s - 8732. What is g(92)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 20*c**2 - c + 6. What is t(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -50069, -5, 0.5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 416251334 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 7*l**3 - 6*l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 4 - 2 - w**2 - 4. Let t(c) be the second derivative of c**3\/6 + 3*c. Calculate t(h(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 12:20 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2)*((d\/(d\/(d**(-2\/7)*d)))\/d)\/d*(d*(d*d**(-4))\/d*d)**(1\/64))**(-7\/9) assuming d is positive.\nAnswer: d**(173\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 8:15 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-96)\/(-90)) + 150\/90\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/13 + 88*h**4\/13 + 72896*h**3\/13 + 143372*h**2\/13 - 1524414*h\/13 + 100620 = 0. What is h?\nAnswer: -169, -6, 1, 3, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r - 1 + 2*r + 0 - 3*r. Calculate f(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 108838 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: Let a = -18 + 18. Let h = 1 - -2. What are the prime factors of h - a*(-4)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**6\/60 + r**5\/12 - 5*r**2. Find the third derivative of f(g) wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11397900 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327837 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-3) - 74\/(-3). Suppose 4*k - 5*k + 2*m = -768, -2*k - 5*m = -1536. Let o = k + -543. Calculate the greatest common factor of o and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2. Let n(i) = -297580327*i. What is a(n(l))?\nAnswer: 177108102034853858*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 2070?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 3, z: 1, b: 4, k: 1, r: 2}. What is prob of picking 1 u, 1 v, and 1 k?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 2153*i**3 - 321*i**3 + 861*i**2.\nAnswer: -2474*i**3 + 858*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 335*f**2 - 168*f**2 - 182*f**2. Let w(k) = -2*k + 0*k + 3*k. Give q(w(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -2*q - 133. Suppose -12 = -2*g - 8. Suppose 2*v + 3*t - 4 = -g*v, 0 = 5*v + 2*t - 12. Solve q = -o + v*z + 4, -4*o = 5*z - 24 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(2\/11)*m**(-6))\/((m*(m\/(m\/(m*m**4)*m*m))\/m)\/(m*m**(1\/8))) assuming m is positive.\nAnswer: m**(-533\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 184*a**2 + 1565*a + 92. Let z be s(9). Factor -1152\/7 + 96\/7*f - 2\/7*f**z.\nAnswer: -2*(f - 24)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 4.02. Let b = -514 - -513.7. What is the fourth biggest value in b, 2, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -795 and -5.\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28215 and 1120845?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {y: 12, d: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8265 is divided by 78.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1759045.\nAnswer: 1\/1759045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 554543 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c**(-1\/4)*c))**(-32)*c**(-3\/4)\/(c\/(c\/(c*c\/(c\/((c**(1\/9)\/c)\/c)*c)))) assuming c is positive.\nAnswer: c**(-2551\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 4*u**2 + 4*u - 3. Let f(o) = 2*o**3 + 3*o**2 + 3*o - 2. Let l(c) = 4*f(c) - 3*s(c). What is the first derivative of l(m) wrt m?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 210000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2. Let q(s) = -2*s**2 + 2*s + 744. Give q(j(x)).\nAnswer: -18*x**4 + 6*x**2 + 744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -447 + 395 - (14 - 150)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1. Let d = 5 - 6. Let y(l) = l + 1. Let j(a) = d*y(a) + u(a). Let c(i) = 2*i. Give c(j(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -22. Let b be (-150)\/(-6) + (-9)\/j. Suppose b = 4*v + 8. Solve 0 = v*x - y - 26, -3*x = -4*x - 2*y + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30759 * -4.\nAnswer: -123036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a + 175. Let c be t(-17). Is c equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -25)\/((-2)\/(-4)). Suppose -y = -5*t - 1. Suppose -4*m + m = -t. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 4 - -3 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/4 and ((-41)\/3)\/(48\/9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**5\/6 + 78*m**4 - 56885*m**3\/6 + 291025*m**2\/3 - 225824*m + 414656\/3 = 0.\nAnswer: 1, 2, 8, 209, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 165 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5652660779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -336691659 by 1.\nAnswer: -336691659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + d = -117 + 133, 2*v = -2*d + 8. Solve 0 = v*s - 663 + 659 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22002 + 11?\nAnswer: -21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/9)\/(-1 - 20\/(-21)). Suppose -5*n + u = 2*x, x = -4*n + 1 + 1. What are the prime factors of ((6\/(-4))\/3)\/(x\/(-336))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.409 - 227.409. Let h = u - -227.677. What is h rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1092 and 2688.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvgjjvjvgijgjjljl. What is prob of picking 1 l, 1 v, 1 i, and 1 j?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1331.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 761 divide 15291319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**3 - 8*n**2 - 2*n - 3. Let t(i) = i**3 + i**2 - i + 1. Calculate -p(k) - 6*t(k).\nAnswer: -k**3 + 2*k**2 + 8*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 529, 0, -5, 4, -4, 3 in descending order.\nAnswer: 529, 4, 3, 0, -4, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -305adc2 - 3?\nAnswer: -305adc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394*b = -396*b + 84. Calculate the greatest common factor of 18 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206 - -104. What is the lowest common multiple of 81 and (-2)\/4 + (-10149)\/n?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, e: 3, x: 1, q: 5}. What is prob of sequence fe?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 15*m = 0. Suppose m*u - 3*w = -u - 31, -4*u - 94 = 3*w. Let b be (0\/u)\/(0 + 2). Sort -1, -2, b, 1 in descending order.\nAnswer: 1, b, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10384 minus 199?\nAnswer: -199.10384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 11. Let t be b(-5). Let n = t - -7. Let p(c) = 4*c**2 - 2*c - 1. Let j be p(-1). What is the highest common factor of j and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3503 + 3503 + 48*o)*(-1 - 3 + 11) + (2 - 2 - 1)*(-4 - o + 4).\nAnswer: 337*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvvin. What is prob of picking 1 i and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**5\/7 + 512*k**4\/7 - 7284*k**3\/7 + 6768*k**2\/7 = 0.\nAnswer: -141, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(((p\/(p\/(p*p*p\/(p*p\/p**11))))\/p)\/p*p*p)*p*p**(2\/11)*(p*p**(-4\/5))**(-6\/13) assuming p is positive.\nAnswer: p**(-7086\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 31*134.33\nAnswer: 4164.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-3) - 2)*576\/(-96)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m - 3 = 24*m. Solve 2 + 13 = -m*q, 0 = -4*t - 4*q - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 7*k**2 + 10*k + 26. Let m be l(-6). Find the common denominator of (391\/(-272))\/(m\/8) and 51\/73.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 861 + -859 - (6 + 0 + (-1 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(27\/(-12)) - 1. Suppose 120 = m*i - 132. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 5*l**2 + 18*l - 13. Let j be m(7). Let w(b) = -222*b - 47. Let d(a) = 3773*a + 798. Let g(h) = -2*d(h) - 35*w(h). Is g(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508325 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11376.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*d = -0*d - 20, 2*g = -2*d - 8. Let a = 2 - g. Which is bigger: a or 0.05?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**4\/12 + s**3 - 3*s**2 - 9*s - 6. Let y(j) be the first derivative of g(j). What is y(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(330))\/sqrt(11) + 2*sqrt(30)*1)\/(5*(1*sqrt(490) + -1*sqrt(50)\/sqrt(5))).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-70) + 8\/14?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214928560213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 38 = -n. Let v = n - -48. Let f(w) = -w**2 + 10*w + 5. Let g be f(v). Solve -5 = -g*s + l + 19, 3*s - 14 = l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*n - 2*c = -13*n - 65, 0*c + 55 = 11*c for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1441002 + 3?\nAnswer: 1441005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l + 30. Let m be (-5)\/(l\/66) + 3. List the prime factors of 60\/m + (-4)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 11:27 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 5*n**2 + 51*n + 15. Let g be t(-10). Suppose -5*l = -61 - 4. Suppose -g*b + 138 = l. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(2299) + ((sqrt(2299) - (sqrt(2299) - (sqrt(2299) + -1))) + sqrt(2299))*-2)*-5 + 5)*1*1 + -2)**2.\nAnswer: -3960*sqrt(19) + 517419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-3))\/((-3)\/((-3)\/3)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - (22 + (10 - -2 - 17))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13720)\/420)\/((-28)\/24)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.761 + 0.239. Let v = 474.5 - 475. Put -0.2, -1\/16, v, p in decreasing order.\nAnswer: p, -1\/16, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert f (base 16) to base 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -90*f + 99*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130378 and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 269 = 3*r, 0 = -3*y + 3*r - 0*r - 201. Let m(z) = 7*z**2. Let q(x) = -78*x**2. Let a(f) = y*m(f) - 6*q(f). Let j(d) = 2*d. Give a(j(o)).\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.098749 to 3 dps.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 10737*i**2.\nAnswer: -10737*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide (3149\/(-3))\/((-1)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22449)\/6414)\/((-28)\/(-2)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((2*sqrt(272)*-5)\/(sqrt(512) + (sqrt(512) - -1*sqrt(512)) + sqrt(512)))\/(sqrt(10)\/sqrt(125) + (sqrt(80)\/sqrt(5) + sqrt(16))\/sqrt(8)))*-5.\nAnswer: 125*sqrt(17)\/176 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16644623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14295, -37, 7, -3, -3\/5.\nAnswer: -14295, -37, -3, -3\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -2c1?\nAnswer: -2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 5*u**2 + 78861*u + 551927. What is x(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 3.3776?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -259 - 1ac1?\nAnswer: -1d1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 10:15 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -24, 4, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274594138 divided by -98.\nAnswer: 2801981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from bbyyyytsybtbbyyyyb.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -10*z + 15688, z - 197 - 1351 = -5*k. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.009 * -0.5\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61 - -64. Solve 6*u - c = 4*u + 2, -l*u - 4*c = -14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-84)\/(-14)*6\/16. Which is the nearest to -2\/7? (a) 1 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3356.41483 - -11.\nAnswer: 3367.41483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.0401 times 77\nAnswer: 3.0877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -32. What is the nearest to 1 in -1, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46981 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.2 (b) -3 (c) 1\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 26.9. Let t = 2 - d. What is the nearest to t in 4\/5, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193895.\nAnswer: 5, 13, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 0, 51, 1, 84577 in ascending order.\nAnswer: -5, -4, 0, 1, 51, 84577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4249986 divided by -1058.\nAnswer: -4017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23913.37ml in litres?\nAnswer: 23.91337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1260 - 92 - 329)*((-3*p - p + 3*p)*(2 + 2 - 3) - p - 1 + 1).\nAnswer: -1678*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**2 - 2*a + 4*a + 5*a - 4*a**2 + 2*a**2 + a**2 + 2*a**2 + 2*a**2 - 6*a**2 + (2*a - 3*a + 2*a)*(-3*a + 5*a - a) + a**2 - 2*a**2 - a**2.\nAnswer: -6*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 392025?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159920*n - 215832*n - 17198*n + 69548*n - 130167*n.\nAnswer: -453569*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*c - 4 = 0, 0 = 3*c - 4*c + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2 - 1 + u**2 + u + u + u**3. Suppose -2*l = 2*l + 20. Let t = -6 - l. Calculate y(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 6*f. Let z(n) = -n**3 + 3*n**2 + n + 2. Let t be z(3). Give y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1578, 3151, 4720, 6285, 7846?\n\"Answer: -2*t**2 + 1579*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3, -30, -93, -210, -399, -678?\n\"Answer: -3*r**3 - 6*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143530 + 293939. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*w**3 + 5*w**5 - 24*w**3 + 2*w**5 - 4*w**5 + w**5 - w**5 - w**5 + 3*w**5 + (2*w**5 + 0*w**3 + 0*w**3)*(0 + 4 - 2).\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4853 + 4858. Solve -q*b - 2*x - 5 = 4, -5 = -5*b + 5*x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 51. Let i = y - 15. Find the common denominator of 5\/(-10) - i\/(-3) and 107\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145 + 152. Let w(a) = -100*a**2 - 7*a - 121. Let d(r) = -33*r**2 - 2*r - 40. Let t(h) = x*d(h) - 2*w(h). What is the first derivative of t(i) wrt i?\nAnswer: -62*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-6)\/966*102*-1. Let c = y + 13\/7. Suppose -2*u + 4*u - 2 = 0. Which is smaller: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3723039.9 * 0.03\nAnswer: 111691.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 3, b: 1, m: 3, j: 2}. Give prob of sequence pb.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 4*t**3\/3 + 120*t**2 + 464*t + 1165. Factor l(n).\nAnswer: 4*(n + 2)*(n + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**5 + 21*g**4 + 49881*g**3 - 249609*g**2 + 149814*g + 449280 = 0.\nAnswer: -128, -1, 3, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4266*j*y**2 + 184*y**2 - 2*y + 4 wrt j.\nAnswer: -4266*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.989 - -0.011. Let p = -3.2 + 0.2. Which is the biggest value? (a) p (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/13250 and -74\/3975.\nAnswer: 39750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 59 = -3. What is the least common multiple of 22 and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u. Solve -2*y - 3*y - 25 = u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2199997*p - 6. Let f be c(2). Round f to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*j**4 + 2*j**3 + 3*j**2 + 7440*j?\nAnswer: -672*j**2 + 12*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*p - 12. Suppose 1 - p = -t. Let u = 0.02 + 1.98. Which is the biggest value? (a) u (b) t (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 4 - (-6 - 0). Let r = 11 - w. Calculate the greatest common divisor of 54 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + 3*z + 0*z + (-z - 2 + 2)*(0 + 3 - 1).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {u: 4, v: 5, k: 1, r: 4, s: 3, m: 1}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 214*t - 211*t - 2*t**2 - 3 - 2*t**3 + 5*t**2. Suppose -7*b + 3*b - 20 = 0. Let y(j) = -5*j**3 - 5 - 2*j + 7*j + j**3 + 5*j**2. Give b*a(q) + 3*y(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -16174.80355 to the nearest one hundred.\nAnswer: -16200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 4*y**2 - 19)*(y**3 + 0*y**3 - 2*y**3) + 0*y**4 - 2*y**5 + 0*y**4.\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 412\/34 - 2\/17. Let a be 16\/24*s\/2. Solve 0*v + 20 = a*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1725 + -1709. What is the highest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 + 336*v**3 + 1022*v**2 + 684*v = 0. What is v?\nAnswer: -2, -1, 0, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 4:05 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**5\/5 - o**4\/6 - o**2 + 3*o. Let m(z) = 9*z**3 - 5*z**2 + z - 5. Determine 2*m(h) - 5*x(h).\nAnswer: -2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37738?\nAnswer: 2, 18869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**5 + 154 - 154 - 5*n**2 wrt n.\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((5 - -11)\/8)\/((-2)\/(-4)). What is the derivative of -5 - 23*m**q - 29 + 9 + 32*m**4 wrt m?\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**3 - 9*o**2 + 5*o + 6. Suppose -12*g = -17*g - 20. Is l(g) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-14))**(-29) assuming f is positive.\nAnswer: f**406","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 141780463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 1. Let a(y) = -2*y**3 - y**2 + y + 1. Give 4*a(o) + 4*d(o).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15875880*u**2 - 336541*u + 43?\nAnswer: 31751760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 25 = -4*b, -b - 4*x = -0*x - 19. What is the greatest common divisor of b and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -31 - 9. Let k(c) = 2*c**2 - 27*c - 10. What are the prime factors of k(m)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.86873 to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13012300222002 - -3?\nAnswer: -13012300221333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -160 and 0.097 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 65*r + 248. Let s(o) = 67*o + 300. What is 6*p(h) - 5*s(h)?\nAnswer: 55*h - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(-1\/4)*q*q)**(-2\/7)*((q**(-1\/3)*q*q)\/q)**37 assuming q is positive.\nAnswer: q**(979\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 338447592?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22150001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 + 5 + -12 - -11) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8871*o + 381*o = 534870 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10162.\nAnswer: 2, 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + t + 3*t + (-4 + 4 - 2)*(t - 549 + 766 - 681).\nAnswer: -t + 928","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530 divided by -102?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = x + 1. What is the least common multiple of x and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 12*t - 541. Suppose 27*k = 29*k - t. Calculate the remainder when 50 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1894252*j**4 + 5573*j**2 + 9 wrt j?\nAnswer: -45462048*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhyh when four letters picked without replacement from yyhhphphhjpph?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35618*p**6 - 139*p**3 - 3*p**2 - 2*p - 1004818 wrt p?\nAnswer: 4274160*p**3 - 834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*x. Let l be 30 - x - (2 + (-4 - -2)). Let d be (2\/3)\/(l\/225). Solve 0 = -2*n - 0*g + g + 5, 0 = n - d*g + 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwba when four letters picked without replacement from kwtkgbbkatgbt?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 139223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nny when three letters picked without replacement from nnnnnnnnnnnynyyyyyn?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 8*u - 212. Let g = u - 53. Let o(k) = k**3 + k + 1. What is o(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29608 is divided by 2959.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -549439780*o**2*z**3 - 2*o*z**3 + 2*o*z - o - 13157545*z**3 - z wrt o?\nAnswer: -1098879560*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5889 - 20292 = -3*f, c = 4*f - 19174. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.16 + -0.176. Round u to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - p + 9. Let l be p\/(45\/3)*3. Let w = 11 + -11. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -320058 in ascending order.\nAnswer: -320058, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 0, -12*m + 10*m - 2 = n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u + 1. Let x(d) = -13*d + 2. Let a(h) = -5*k(h) + 3*x(h). What is a(-3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -359, -728, -1109, -1502, -1907?\n\"Answer: -6*u**2 - 351*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874909 is divided by 24303.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 13*r + 7. Let z(p) = p + 1. Let a(o) = s(o) - 6*z(o). Let j(n) be the first derivative of 2*n**2 + n - 1. Calculate -3*a(u) + 5*j(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28? (a) 0 (b) -0.01 (c) 3 (d) -1.4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473637083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, o: 1, c: 4, s: 2}. What is prob of picking 1 o and 3 c?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 697 and 3431773?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1909974 divided by -636658.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3698*d**3*x**2 + 38904*d**3 - 5*d*x**2 wrt x.\nAnswer: 7396*d**3*x - 10*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 914*b + 1699 - 1699.\nAnswer: 914*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 9:48 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55487970?\nAnswer: 2, 3, 5, 151, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-3\/5)*f*f)\/f*f*f**6)**(-1\/2)*((f*f**(2\/3)*f)**34)**(-7\/5) assuming f is positive.\nAnswer: f**(-1967\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, -125834 in descending order.\nAnswer: 5, -13, -125834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (11 + 2 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -96\/38171 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122202121 - -211?\nAnswer: 1122210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -83*g - 426. Give m(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1158952961 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19658, 156795, 528930, 1253561, 2448186?\nAnswer: 4230303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -9.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 685556618 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2511?\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120192 and 7296.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(360\/(-259970))*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r - 11. Let f be v(0). Let k = f + 261. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/(-117)*96\/(-20)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5*w - 21080. Suppose -13 - 14 = 3*l. Is (-2)\/l + w\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*c**3 - 1\/2 + 3\/4*c + 0*c**2.\nAnswer: -(c - 1)**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/23, 38.35836, -3.9?\nAnswer: 38.35836","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76897\/456374 - 9456\/6595. Let l = -7240 + 1252514\/173. Let w = l + f. Calculate the common denominator of -133\/18 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/7 + 6*d**3 - 78*d**2\/7 - 1690*d\/7.\nAnswer: -2*d*(d - 13)**2*(d + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44432, -88724, -133016, -177308, -221600?\nAnswer: -265892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000247 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 24852804?\nAnswer: 472203276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97742*y + 15 = 2*w + 97731*y + 44, 2*w - 41 = -3*y for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -a - 0*a + 1, 5*a - 50 = -4*g. Let w(r) = -r**3 + 5*r**2 - 2*r + 3. Let l be w(a). Let u = -42 - l. Solve -9 = 4*i + u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*(((x**(-2)\/x)\/x)\/x*x*x)\/x))\/x*x)**(-22))**(3\/22)*((x**4*x)\/(x\/((x\/(x*x**(1\/2)))\/x)))\/(x\/(x\/x**0))**33 assuming x is positive.\nAnswer: x**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**2 - 21351*h + 5483660 = 0.\nAnswer: 260, 21091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*r = -56, -3*z + 68 = 2*r - 24. Is 30 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -1\/10*z**6 + 2*z + 0*z**2 + 0 + 0*z**5 + 0*z**4 + 1\/3*z**3. Find the second derivative of q(h) wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3269 divide 9528324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-16)\/(-12) - 8*-59. Let q = c + 61. Is q a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.02 + 0.22. Let a = 490 - 488.1962. Let i = a + p. Round i to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 1, c: 2, w: 1, i: 1, v: 1}. What is prob of picking 1 d, 1 i, 1 c, and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-6 - -3) + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**7\/147 - 11*x**6\/35 + 29*x**5\/35 + 22*x**4\/7 - 248*x**3\/21 - 8*x + 97. Solve f(z) = 0 for z.\nAnswer: -2, 0, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 771104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3356 - 3353. Let f = 4 - 4. Which is the second smallest value? (a) f (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80025 is divided by 19886?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbbxxmxxxxxxxxb. What is prob of picking 2 b and 1 m?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21131231010 (base 4) in base 14?\nAnswer: 4881da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4167 divide 568811899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*s + 24*s - 13 + 24*s)*(s + 2*s - 4*s).\nAnswer: -2*s**2 + 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 304, 134, -36, -206, -376, -546?\n\"Answer: -170*y + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -408\/1723, 0.1, 3 in descending order.\nAnswer: 5, 3, 0.1, -408\/1723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43045401 + -23?\nAnswer: 43045334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 999.\nAnswer: 998.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 653864\/281 not equal to 2328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) 10\/1851 (c) 507 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 + 21752*l - 59143688 = 0. What is l?\nAnswer: 5438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 = -361*l + 328*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 + 320*c**2 + 305*c - 630.\nAnswer: 5*(c - 1)*(c + 2)*(c + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4747 - -7603. Suppose 768 = -4*o + z. What are the prime factors of o?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63*-22.26\nAnswer: 1402.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*y - 493546 = 171384. What are the prime factors of y?\nAnswer: 2, 5, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 6*r**2 + 5*r**2.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 11*n - 15. Let t be v(6). Suppose -5*d - 5*w - 25 = -2*d, -5*d - t = 3*w. Solve -5*b + 4*b = d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -344?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12742 + -8789. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3)\/(48\/(-12))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24.8 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by -12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5009, -5020, -5045, -5090, -5161, -5264, -5405, -5590?\nAnswer: -5825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -112\/5, -6, 4, 1\/4, -9?\nAnswer: -112\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 70145807466+7\nAnswer: 70145807473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35279245.\nAnswer: 5, 1039, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/41625 and -40\/15219?\nAnswer: 70387875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 2*o + 0*o)*(-56468*o + 17966*o - 12119*o - 54543*o) to the form p*o + q*o**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 1686*n + 16 + 9.\nAnswer: 1686*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5065.089 - -5070. Let n = -0.089 - k. Which is the second biggest value? (a) n (b) -4 (c) 2\/11 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o. Let g = -96 - -98. Let m(b) = -7*b + 5*b + 2*b + 25*b**g. Determine m(v(l)).\nAnswer: 625*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10626 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 86*s - 764. Calculate the lowest common multiple of z(29) and 3032.\nAnswer: 18192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.6 - -21.6422. Let l = n - -35.0578. Let z = l - 43. Round z to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12307499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + -2 + (10 - 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 5. Let f be q(-7). Suppose -f*b = 2*b - 40. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c**3 - c**2 + 2*c - 1. Let l be k(1). Let q = l - -4. Let p(m) = 134*m - 12. Let f(y) = -21*y + 2. Let t(d) = -13*f(d) - 2*p(d). Determine t(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 23155*z**3 - 10 + 11351*z**3 - z + 11799*z**3 + 3.\nAnswer: -5*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.36 - 0.333. Let x = 46.027 - f. Let i = 45 - x. Which is the nearest to i? (a) 0.5 (b) 1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z + 1. Let d be s(1). Let r(o) = -14*o + 3. Calculate the remainder when 173 is divided by r(d).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -29*l + 151. Let y be z(5). Let c(v) = v - 4. Let q be c(6). Suppose -y*r + q*r = r. Is r greater than or equal to 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 4*s + 3*s)*(3 - 3 - s)*(99 - 37 + 3)*(-2 + 1 + 0).\nAnswer: 130*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 28 = 161*h - 163*h, 4*h = 3*q + 31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + 3*s**5 - 2*s**5 + (16*s**2 - 8*s**3 - 16*s**2)*(3*s**2 - 2*s + 2 - 2).\nAnswer: -25*s**5 + 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(125)*-4)**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58149111 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 6. Let w = y + 3. What is the closest to 2\/7 in w, -3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4990092 to the power of 1\/2, to the nearest integer?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**2 - 3*f**2 - 4*f**2 - 6*f as n*f + r + t*f**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -597 - -599. Solve 2*d - 6 = k*i, -d - 2*i + 5 = -4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 690, 1374, 2058, 2742, 3426, 4110?\nAnswer: 4794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-75))\/(18\/45)*-8\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211 less than -10110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2555 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*m - 8, -4*g - m - 6 = -2. Solve -2*v - 2 + 4 = g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/60 and -85\/76.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2871 - 10631. Let c = v + -14050. Let a = c - -31810. Round a to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 137*x - 9. Is a(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3 + 2*o**2 + 15*o - 2*o**2 - o**2 - 8*o. Let x be r(7). Solve -x*k = -0*k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 42 = -5*v, -3*v + 10*l - 39073 = -39029 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*b**2 - 13*b**2 - 2*b**4 + (0 + 2*b**3 + 0)*(b - 3*b - 3*b) + 0*b**4 - b**4 + 5*b**4 - 30 + 30 + 6*b**4.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -577404*i**3 - 3*i - 1 - 18*i**2 - 2*i**4 + 577404*i**3 to q*i**2 + m*i**3 + k + r*i**4 + o*i and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 35.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10 + 8*x - 1 - 2*x - 3*x**2.\nAnswer: -3*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25250, -50493, -75730, -100961, -126186, -151405, -176618?\nAnswer: -201825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1608 + -931. Suppose 3*c = 5239 + k. What are the prime factors of c?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11*j + 24\/11 - 2\/11*j**2.\nAnswer: -2*(j - 2)*(j + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 246*d**2 - 90*d**2 - 76*d**2 + 0 + 8*d**4 - 78*d**2 + 2 + 56*d**3 - d in the form c*d**4 + o*d + y*d**2 + j*d**3 + k and give j.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251 + 256. Suppose 0 = -q - n*l - 3, -6 = -7*q + 5*q - 4*l. Calculate the least common multiple of 17 and q.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + a - 1. Let c(v) = 3*v**2 - 5*v + 4. Let w(f) = -c(f) - 4*x(f). What is w(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 13 = -3*w - w, -3*w + 4*s = -13. Suppose 1 = u + w. Which is bigger: -0.3 or u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 28 - 37 = 3*t + 11*o, t - 3*o - 9 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.117 - 0.083. What is the third biggest value in 79, -0.4, v, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 3\/2, 956, 4, -2\/9 in decreasing order.\nAnswer: 956, 4, 3\/2, -2\/9, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/13))\/p*p*(p**(-25)*p)\/p)\/((((p\/p**(-22))\/p)\/p)\/p*p*p\/p**(-24)) assuming p is positive.\nAnswer: p**(-908\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 - 303 = -5*q - 5*x, 0 = 3*q - 3*x - 135. Let d = -25 + q. Let g = 33 - d. Solve 3*m = -0*m - g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3. Let t be -5 - -5 - (-2)\/1. Suppose 2*f = 7*s - 2*s - 6, -4 = -t*s. Let m be v(f). Solve -3*l = 2*c + 20, 4*l + m = l + c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -3. Suppose -55*i + 58*i = 174. Let w(j) = -j**2 + 2*j**2 - 28*j - 25*j + 5 + i*j. What is w(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w. Let k(h) be the first derivative of 9*h + 0*h**2 - 1\/6*h**4 - 6 + 0*h**3. Let a(b) be the first derivative of k(b). Determine a(d(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 18, 36, 74, 138?\n\"Answer: g**3 + g**2 - 6*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00040009 rounded to six decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 567*r**2 + 16*r**3 - 25*r**3 + 28 - 1140*r**2 + 581*r**2 + 2*r**4 + 12*r**3 to v*r**2 + t*r + w + o*r**3 + f*r**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 59\/5 of a millimeter?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -433 and 327.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 1:17 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44 - 44 - 8*o**2 + 14*o**5 wrt o?\nAnswer: 840*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 323 - 336. What is the common denominator of q and -34\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhkafhfsrkkh. What is prob of picking 1 r, 1 a, 1 h, and 1 s?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*(-24)\/16.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 11*w + 29. What is h(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98092 is divided by 122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 i when four letters picked without replacement from {s: 4, j: 1, h: 1, i: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 6. Let s be h(-5). Let l = -13 + s. Find the common denominator of 49\/3 and l\/(-7) + (-687)\/(-70).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-12) + -5)*4\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fve when three letters picked without replacement from {k: 1, i: 2, e: 3, z: 7, v: 2, f: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m**2 - m - 1. Let z(x) = 3*x**3 - 5*x**2 - x - 10. Let l(f) = 6*v(f) - z(f). Let p be l(3). Round p to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6131674 is divided by 1244.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4. Suppose 2*f - 4*b - 62 = v, f - 2*f - 3*b = -51. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -17*d**2. Let j(w) = 7*w - 1. What is j(q(i))?\nAnswer: -119*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + 7*z**2 + 12. Calculate the smallest common multiple of 22 and a(-7).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**6\/210 + 93*w**5\/140 - 2297*w**4\/84 + 2085*w**3\/14 - 2025*w**2\/7 + 8242*w. Find f such that l(f) = 0.\nAnswer: 1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -g - 13*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s + 4. Let w be y(3). Suppose 0 = -2*m + 2*b - b + w, 4*m + 2*b - 62 = 0. Let r = 49 + -8. Calculate the remainder when r is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4851, -4904, -4969, -5028, -5063, -5056?\n\"Answer: 3*q**3 - 24*q**2 - 2*q - 4828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82.52 - 83. Let c = g + 1.73. What is c rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(11) + sqrt(176)))**2 + (-3 + sqrt(5))*-6.\nAnswer: -6*sqrt(5) + 91\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g. Let z = 7 + -8. Let m = z - -4. Let h(s) = 4*s - 1. Calculate m*p(c) + 2*h(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -88395.81 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 - 22?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.1. Let v = -79.3 - -79.6. Which is the smallest value? (a) r (b) v (c) -4\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 446 + -633. Let k = 185 + c. What is the second smallest value in 0.4, -0.07, -4\/7, k?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4836950 + 4836950 - 73*n**3.\nAnswer: -73*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 309 + -308. What is the second biggest value in s, 0.2, 12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 185710\/1568 + -63 - 55?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 296621094 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**3 - s**2 + 2*s. Let f(p) = 3*p**3 - 2*p**2 + 3*p - 1. Let t(l) = 5*f(l) - 6*i(l). Let y be t(3). What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 293\/5. Let y be ((-2)\/5)\/(6\/10). Which is the closest to -1? (a) 1\/3 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-39)*(-40 + 28) + 264\/9?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-285)\/(-114)*(0 - 7)*-18. Suppose 11*j = 14*j - w. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021201220122021 - 10?\nAnswer: -1021201220122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*-5)\/(sqrt(30)\/(sqrt(9)\/sqrt(3))) - (-4 + (-2*sqrt(704)*3)**2).\nAnswer: -25340 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 8 = -0*c + 4*r, r = -3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 q when four letters picked without replacement from wqwwwwqwwwww.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1559145404.\nAnswer: 2, 389786351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) 3\/7 (c) -469 (d) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c - 36 = -29*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/15)\/((-192)\/(-240)). Let o = 0.1 - -2.9. What is the second smallest value in z, o, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.74536 litres in millilitres?\nAnswer: 93745.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*a - 40, 5*a = -0*z + 5*z + 35. Suppose 3*t - 58 - a = 0. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-12) + 6 + -25 + (-13)\/((-364)\/525).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -96*o**4*p + 13*o**3*p + 46*o*p + 2262240*p wrt o?\nAnswer: -384*o**3*p + 39*o**2*p + 46*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwsw when four letters picked without replacement from {v: 1, k: 2, s: 4, w: 6}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k. Let u = 139 + -138. Let t(m) = 7*m**2 + 3*m. Let d(f) = -2*f**2 - f. Let v(g) = u*t(g) + 3*d(g). Determine v(r(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -423 by 141.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 9*g**2 - 616*g - 2363. Give i(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -376, -363, -328, -259, -144?\n\"Answer: 2*i**3 - i**2 + 2*i - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.3 + 10.1. What is the nearest to -2\/13 in 3, u, -0.7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**4 + 2*f**2 - f**4 - 5*f**2 + 4*f**2 - 1 + 3*f to the form c*f + t*f**3 + g*f**2 + i*f**4 + z and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9022 < 8552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/2)\/(4\/(-24)). Let k be (-276)\/m + 2\/(-5). What is the greatest common divisor of k and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 38*m**2 - 35*m + 67. Is v(36) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297) + (sqrt(297) - (sqrt(297) + (-2*(-5*sqrt(297) + sqrt(297)) - sqrt(297)) + sqrt(297))) + sqrt(297))\/(sqrt(275)*6*-1).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 331658?\nAnswer: -2\/165829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 11826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = -2*u, 0 = -3*u - 5*t - 4 + 9. Let h = -16 + 15.85. Let l = 5.15 + h. Which is the second smallest value? (a) -4 (b) u (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/4)\/(-7 + (-651)\/(-84)) - 33626\/11178?\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - 1000222001001012?\nAnswer: -1000222001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98748434 and 28196.\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93330235 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30 - -24)*(84 - 0). Let d = m + 1871. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -14*c. Let q(z) = 16*z. Let p(y) = -6*q(y) - 7*w(y). Suppose 4*o + 10*k - 5*k - 114 = 0, -k - 50 = -2*o. Let d(i) = -24*i**2 - 26 + o. Give p(d(m)).\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-4*-3*-5 + -5)*-3.\nAnswer: 15 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**(2\/3)*x\/(x\/(x**5\/x*x*x))*x*x*x**10 assuming x is positive.\nAnswer: x**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -287*z**5 + z**4 - 101*z**3 - 57234*z - 2 wrt z.\nAnswer: -5740*z**3 + 12*z**2 - 606*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3402.9 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 125334, 125439, 125544?\n\"Answer: 105*i + 125229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/293 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 - 486 = -3*c. Calculate the highest common factor of 66 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 8, -3*a + 2*k = -3*k - 71. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 7) to base 13.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110429711.\nAnswer: 7, 149, 239, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/4 + (85 - (-6)\/(-2)). Let h(s) = 28*s**3 - t*s**3 + 27*s**3 - s + 30*s**3. Let i(w) = w**3 + 2*w. What is 2*h(r) + i(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1550 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 105.004 - 0.004. Let k = v - 103. What is the third biggest value in -3, k, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 144 = 5*s, -5*s + 6*d = 3*d - 148. Let p = -26 + s. Solve w = r - 4, -p + 19 = -4*w - 3*r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 67347764?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 1164962550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*f - 83*f = -50*f - 710 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*((sqrt(432) - ((sqrt(432) + 0)*-4 - sqrt(432)))*6 + -2) + -4 + 5)**2.\nAnswer: -24192*sqrt(3) + 8958001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.28 + -0.2798769. What is v rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -120*q**2 - 851*q - 62. What is u(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-8 - -4 - 19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -4, 6\/5, 0.5, -3, -2\/78527?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 1 (c) -1\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5222 + 2227 - 1645 = -188*l - 4536 for l.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*9\/(-9)*2\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a micrometer in nanometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2736) + sqrt(2736) + (sqrt(2736) - (sqrt(2736) + sqrt(2736) + -3 + -1)) + -1 + sqrt(2736)*-1)**2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + a = -9695, -57*b + 53*b + 7740 = -4*a. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/105)\/(-7*2\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1\/6)\/g*g)*g)**(-30) assuming g is positive.\nAnswer: g**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*o**2 + 3\/2*o - 1.\nAnswer: -(o - 2)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185595.\nAnswer: 3, 5, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 9392211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23.88 - -0.28. Let o = c + 3.6. Let j = o - -19.99999961. Round j to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -11*i**3 - 13*i**2 + 9*i + 4. Let w = 26 + -13. Let y(c) = -5*c**3 - 6*c**2 + 4*c + 2. Calculate w*y(t) - 6*f(t).\nAnswer: t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**2 + 5. Let s(t) = t + 24. Let l be s(-22). Let q(i) = -i**2 + 3*i**l - i**2 - 3*i**2. Determine q(y(x)).\nAnswer: -128*x**4 - 160*x**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 10:53 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 8. Let q(w) = -2*w + 15. Let r = -10 - -15. Suppose 55 = r*g - 0*g. Let k = 14 - 20. Calculate g*d(x) + k*q(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + r + 2*r - 4, -2*g = -3*r + 2. Let c be 2*-1*(0 + -1). Let t(p) = g*p + 0*p**2 - c*p**2 - 2*p. Let m(x) = 2*x**2. What is t(m(q))?\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2 - 2)*(-2*a**2 + 3 - 3)*(7 + 10 - 14 - 1 + 2 + 1 + (-1 - 2 + 2)*(-3 - 4 + 5)).\nAnswer: -14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 1314*x**2 + 7*x + 77. Let q(u) = -1315*u**2 - 6*u - 66. Give -7*q(p) - 6*v(p).\nAnswer: 1321*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 85? (a) 0 (b) -8\/17 (c) -2 (d) -0.5 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 3:19 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**4\/12 - 116*g**3\/3 + 4*g - 17. Let q(c) = -c**2. Determine q(j(f)).\nAnswer: -f**4 - 464*f**3 - 53824*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5.011871 minutes?\nAnswer: 300712260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-49994)\/48 + 7\/(-21). Let z = -1048 - p. What is the common denominator of -3 - (274\/(-16) - -3) and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005651 rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21388 times 237?\nAnswer: 50.68956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25314819 to the nearest integer?\nAnswer: 5031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 155.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (0 - (-2 - -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340543 is divided by 17012?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -259*c**2. Let a(t) = -391*t**2 - 404*t**2 - 407*t**2 + 1229*t**2. Calculate a(y(p)).\nAnswer: 1811187*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*(-6852)\/23982.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 25*m. Let z = 124 + -128. Let h(j) = j**2 - 2*j. Let n(w) = -5*w**2 + 8*w. Let k(y) = z*h(y) - n(y). Determine t(k(x)).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 583 - 580. Let l(z) = 25*z**2 - 12*z + 9. Does 3 divide l(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 16 = -2*n, 3*n - 17 + 43 = -4*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from xewieveeixeweixcwexw.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4618.53 rounded to the nearest ten?\nAnswer: -4620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 - 28. What is the smallest common multiple of 21 and i?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 380255851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a factor of 87012804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -30, -17.9, 114?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*v - v - 31*v)*(-3*v + 3*v**3 + 3*v) to the form w + d*v**2 + t*v**4 + g*v + i*v**3 and give t.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -63449 divided by 1\nAnswer: -63449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 j, and 2 t when four letters picked without replacement from jlwlawljwllltaltalw.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50452223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 15) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29966859 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -6501589\nAnswer: -35\/6501589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 81.86\nAnswer: 736.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 3. Let b be l(-3). Let w(c) be the second derivative of c**3 + 3*c**2 + 1724*c + 1. Calculate w(b).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:00 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-15))\/(1\/(-6)). Find the second derivative of -o**3 + 78*o**l - 78*o**2 + o wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.02 - 6. Let j = x + -4.02. Which is the second biggest value? (a) j (b) -0.4 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 642673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 1 + 1)*(0 + 2 - 4) - 172 + 172 - 3*d + 2*d + 2*d - 5*d in the form b*d + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 79*k**3 + 3*k + 2. Let g be p(-1). Let u = g + 107. Solve 3 = -6*n - u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.9 + -189939.\nAnswer: -189937.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 9:53 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 82?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59\/13651984 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -830509 - -0.031\nAnswer: -830508.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/15*(12\/16 - 1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*v**3 + v**3 + 4*v**3 - 6*v**3.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161404 - 124772 = -66*b. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q - 83. Give f(10).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -350 and 5276.\nAnswer: -1846600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uimuimumuo. Give prob of picking 1 u, 2 i, and 1 o.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46\/3 + 16. Which is the second biggest value? (a) -0.4 (b) 1\/3 (c) 1\/2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-6)*(5 + 31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12313312 (base 4) to base 2\nAnswer: -110110111110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 39*k + 570. What is the remainder when s(28) is divided by 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d + 3. Suppose -z = -d*z + 22. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**4\/2 - 115*w**3\/2 + 495*w**2\/2 + 2275*w\/2 + 833 = 0. What is w?\nAnswer: -119, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1301576 and 0.4.\nAnswer: 1301576.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/14*(-1)\/(-2)*1281\/(-915).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 greater than or equal to -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 146 or 289\/2?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5726251, 11452507, 17178763?\n\"Answer: 5726256*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7840091 a multiple of 198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 11. Let d be h(-6). Suppose 0 = 2*s + u - 251, -4*s = d*u - 314 - 191. Is 25 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2211341 - 2?\nAnswer: 2211334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 1206*i**2 - 161523*i + 7207620.\nAnswer: -3*(i - 140)*(i - 131)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2 + -3 + (sqrt(112) + sqrt(112) + 3)*2)*6)**2.\nAnswer: 4800*sqrt(7) + 65137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:08 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 3*a**6\/10 + 13*a**2\/2 + 55*a. What is the first derivative of d(q) wrt q?\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -2345353?\nAnswer: -2345342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, -4, 4, -14, 1 in descending order.\nAnswer: 4, 3, 1, -4, -13, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(1 - (3 + -5)). Let r be q\/(-2)*(-3)\/(-15)*5. Let g = -0.04 - -0.84. Sort 5, g, r.\nAnswer: g, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276421525?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(210\/3303)*-2. Let r = -12 - -169. Let o = t - r. What is the second smallest value in -4, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 275 + -274.887. Let w = t + 0.087. Let y = 1 + -0.6. What is the third smallest value in w, -3\/5, y, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48\/13 - 46\/13. Suppose 45*q = 13*q + 128. What is the closest to -1 in h, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4696548034 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 greater than or equal to -847\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + j**2 - 8*j - 3. Let s(c) = -c**2 + 9*c + 7. Let u be s(10). Let y be k(u). Solve 9 + 7 = -3*a + t, 3*a - y*t + 24 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125187.\nAnswer: 3, 41729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 1978.\nAnswer: 3956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 10261*a - 2*a**2 - 10261*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 times 2.1?\nAnswer: -5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35111*w + 70193*w + 191 - 35149*w.\nAnswer: -67*w + 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -512 + 532. Suppose 120 = 10*b + r*b. Solve b*s + 4*t + 32 = 0, 13 = -3*s + 2*s - 2*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12*b - 16. Let w(m) = -m + 36. What is q(w(f))?\nAnswer: -12*f + 416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -134976, -135023, -135070?\n\"Answer: -47*p - 134929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2348 and 584.\nAnswer: 342808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + b + 7. Let q be g(0). Let k be (3\/6 - 1)*14. Let r = k + q. Solve -5*i = 4*d + 11, r*i - 4 = 5*d + 3*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 20*p**2 + p - 25. Suppose 3*b = 3*z + 2*z - 32, 0 = 3*z + 4*b + 4. What is the units digit of t(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, 1\/320 in decreasing order.\nAnswer: 0.1, 1\/320, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 193*p - 187*p - 2484. What is the remainder when p is divided by 70?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1397 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-18)*(-67)\/268.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59861.45 years to centuries.\nAnswer: 598.6145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 185 - 175. Let x(n) = 10*n + 6. What is the remainder when x(11) is divided by y\/(-25) - 306\/(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 - 99.238. Round y to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 140, 264, 390, 518?\n\"Answer: v**2 + 121*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 23429.41m?\nAnswer: 23429410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 252 = -50*h, -49*x - 1 = -52*x - h. Factor 3\/11*q**4 - 1\/11*q**5 - 2\/11*q**3 + 3\/11*q - 2\/11*q**x - 1\/11.\nAnswer: -(q - 1)**4*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = q + 3*z, -4*q + 2*z = -8*q - 116. Let a(o) = -3*o - 91. Let d be a(q). Is -15\/2 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -845*y**4 - 2*y**3 + y**2 - 3*y - 74544?\nAnswer: -3380*y**3 - 6*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v + 3 - 9 - 12 + 1. Calculate the smallest common multiple of z(-5) and 41.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*3\/6 - -4. Suppose i*y + 19 = 31. Calculate the smallest common multiple of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 8 (c) -4 (d) 3 (e) 110\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**5\/60 - y**4\/6 + y**3\/2 + 2*y**2 + 92. What is t(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119457 - -119438.1389. Let v = p - -18.94. What is v rounded to three dps?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2162467135 - -115?\nAnswer: -2162467020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 160\/30 - 2\/(-3). What is the biggest value in u, -2, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 551, 1098, 1643, 2186?\nAnswer: 2727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*s**4 + 6513*s**3 - 201*s**2 - 2*s - 16015813.\nAnswer: -36*s**2 + 39078*s - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 14*o**2 + o + 6. Let s be d(14). Suppose p - 5*p + s = 0. Suppose p*h = -11 + 71. Solve 2*a - u - 3 - 1 = 0, 4*a - h = 4*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7493005 and 1037?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -287 + 342. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-6)\/b)\/b*b)\/(b*b**(-4\/7))*b**28\/(b\/(b\/(b\/((b*b**(6\/11))\/b)))))**(-32) assuming b is positive.\nAnswer: b**(-49568\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46925*c - 46915*c + 90 = 0 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m - 2. Suppose -16 = 4*q, -60 = -k + 2*q - 3*q. Let p = k + -62. Solve -3*u - 20 - m = -2*w, p*w + 9 = -3*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 1, w: 5, g: 3, x: 2}. What is prob of sequence oo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**2 - 16*k - 1. Let h = -3 - 0. Let y(t) = -2*t**2 - 8*t. Let p(a) = h*b(a) + 7*y(a). List the prime factors of p(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -975*x + 27288. Calculate v(29).\nAnswer: -987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**9\/84 + 11*o**5\/60 + 6*o**2 - 7. Let k(w) be the second derivative of s(w). What is the third derivative of k(a) wrt a?\nAnswer: -720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (4 + -3 - (3003 + -2)). Round a to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/22))**(-26)\/((g\/(g*g**9*g))\/g)**(-16\/11) assuming g is positive.\nAnswer: g**(-137\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is d6 (base 15) in base 14?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(180\/116) - (-9 - -6))\/6\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (1 + 0)*(-176)\/(-16) and 219?\nAnswer: 2409","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, l: 1, c: 1, i: 2, w: 1, y: 2}. Give prob of picking 1 l and 1 y.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 47.17?\nAnswer: 47.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 0.3 (c) -3 (d) 0.2 (e) -0.4 (f) -6\/1667\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 2*p**7\/21 - p**5\/4 - p**2. What is the third derivative of t(j) wrt j?\nAnswer: 480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -296.27 - 4.73. Let l = -299 - f. Put l, 0.5, 0.05, 0.4 in decreasing order.\nAnswer: l, 0.5, 0.4, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 - 4*b**2 - 4*b - 4. Let k(m) = -3*m**3 - 5*m**2 - 5*m - 5. Let l(t) = t**2 - 7*t + 5. Let v be l(7). Determine v*r(y) - 4*k(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-48))\/(4\/40). Put 95, m, 2 in descending order.\nAnswer: 95, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/12 and -9\/356?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175 and 2149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0*k + 6. Let v = -2 - k. Let g be 6 - (-1 + (v - -2)). Calculate the highest common divisor of g and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000781845 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38145390?\nAnswer: 2, 3, 5, 1271513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1776, -3536, -5296, -7056, -8816?\nAnswer: -10576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - r**3 + 2*r**3 - r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1370152 - 17923*p**3 + 1370152.\nAnswer: -17923*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2012 + -142?\nAnswer: -2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -216664352?\nAnswer: -216664346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.5, 3, 5\/3, 8, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9056 - 4151. Is h a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 41. Find q, given that 28*q**3 + 3 - 28*q + f*q**3 - 8*q**2 - 2 + 7 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 25*l - 33. Let f be o(8). Suppose -f = -4*s + 269. Let v = s + -77. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -34668*r + 1074802. Calculate b(31).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28 + (-176)\/(-6))\/((-6)\/(-153)). Solve 0 = -41*u + b - 239 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21036322*c**4 + c**2 + 16*c + 4993308 wrt c.\nAnswer: 252435864*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10*r + 7*r + 130 = 0, -76 = -b + 4*r. Suppose -b + 103 = 7*q. Solve m - 4*w = -25, -5 = 5*m + q*w - w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 543543 and 22806.\nAnswer: 3261258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76142 + 88933867\/1168. What is the common denominator of 71\/10 and u?\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -381.044 + 367.1. Let s = 14 + j. What is s rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwlh when four letters picked without replacement from {w: 1, f: 1, l: 6, h: 8}.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i - 43. Let o(v) be the first derivative of 19*v**3\/3 - 103. Let w(z) = -4*z**2. Let g(h) = -2*o(h) - 9*w(h). Calculate g(a(f)).\nAnswer: -8*f**2 + 344*f - 3698","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585629 > 1585630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 7262144?\nAnswer: 79883584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hfhq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3120 and 68469960?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 18 = 2*t + 20, 0 = -4*i + t - 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/2 - 37*v - 240.\nAnswer: (v - 80)*(v + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + 130. Calculate the greatest common factor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*u - 9 - 21*u - 12*u wrt u.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-77))\/((-7)\/98)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2*z - z + 16, 5*z - 16 = -2*o. Let n(g) = 1. Let d(l) = -12*l - 6. Let m(p) = d(p) + 6*n(p). What is the tens digit of m(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 4*g**2 + 7*g + 9. Let c(n) = -n**3 + 2*n**2 + 6*n + 5. Let j be c(4). Let f be a(j). Solve 0 = -8*w + 10*w - f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 3. Let i be k(-4). Let b = -3 - -4. Let g = 2053\/12 - 171. What is the closest to i in g, b, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/2)\/c**(-5\/7) assuming c is positive.\nAnswer: c**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 14 - 44\/(-10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 118, -82, -66 in increasing order.\nAnswer: -82, -66, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7132363877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 - 37. Suppose 5*j = -8 + f. Find the second derivative of 2*d**3 + 10 - j + 2*d wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3705.8841 rounded to the nearest 10?\nAnswer: -3710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.56 and -3.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/75)\/(36\/720)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(-3)*(-3 - 9). Solve n - w = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w + 20 = 38*w. Solve -w*u + 15 = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 183\/5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1562.55 or 0.1?\nAnswer: -1562.55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*a**2 - 3 - 1085*a**2 + 3.\nAnswer: -1145*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1937 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1.8 (b) 1 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -25. Let o = 27 - b. Solve p = 3*p - o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 = -p, 4*p - 5*b = -7 - 10. Calculate the highest common factor of p and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21253757.800582 + -21253792. Let x = h + 34.2. Round x to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 0.3. Let j = -1.1 + h. Let y = -165\/692 + -2\/173. Sort j, -2, y.\nAnswer: -2, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 585 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/48 and 67\/6528?\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/8530 and 9\/545920.\nAnswer: 545920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 792*d - 3395*d + 0 + 0 - 1392*d to s + f*d and give f.\nAnswer: -3995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 466524323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 467449 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (378\/(-21))\/144*(-4)\/(-8)*2.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15436?\nAnswer: 2, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10587225 is divided by 51.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001638392414 to 7 decimal places.\nAnswer: 0.0016384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, 53\/46 in descending order.\nAnswer: 53\/46, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 7 (b) -139.501 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 + 30*k + 118. Calculate g(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -1\/20*z**5 - z + 5\/2*z**2 - 1\/2*z**4 + 0 - 2\/3*z**3. Let y be h(-5). Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/108)\/(180\/(-324))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54739, -109478, -164227, -218986?\nAnswer: -273755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -2140.\nAnswer: -2\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of -3*l**5\/100 - 119*l**4\/20 - 463*l**3\/10 - 207*l**2\/2 + 8027*l. Let y(i) = 0. Calculate i.\nAnswer: -115, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 19*c - 31. Calculate r(9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*s + 5*s. What is the second derivative of -s*x**2 - 3*x + 4*x**2 + 0*x**2 + x**2 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**17))\/((t\/(t\/(t*t\/(t\/(t*t\/t**(2\/73)))*t)))\/t) assuming t is positive.\nAnswer: t**(1024\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/2015 and 105\/3224?\nAnswer: 16120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4 + 4*y + 6*y**2 - 9*y**2 + 4*y**2 + 2*y. Give z(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1365\/(-825)) + 18\/33. Let n be 34\/35 + 16\/(-28). Solve -n*r**3 - m*r - 8\/5 - 2*r**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1562082639 divided by 3\nAnswer: 520694213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6) - 1)*-12. Suppose 0 = -x - 3*x + a. Find the third derivative of 4*o**2 + 2*o**4 - o**2 - x*o**2 wrt o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 25*x**2 + 29*x + 2354. Let k be h(-27). Which is smaller: k or 563\/5?\nAnswer: 563\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3636*i - 283. Does 25 divide s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*k - 6688 = 13*k - 35*k for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 46*a. Suppose 0 = -9*v + 5*v + 12. Let j(i) = 7 + 1 - v - 2*i - 5. Calculate r(j(p)).\nAnswer: 8*p**2 - 92*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a + 3. Let v be l(-5). Solve 28*t = v*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -888 + 4407\/5. Calculate the common denominator of t and -47\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 - (60 - 50).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-828)\/(-3036)*((-6)\/(-3))\/(-2)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2100, -8383, -18854, -33513, -52360, -75395?\n\"Answer: -2094*x**2 - x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 11*c**2 - c + 12. Calculate f(10).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -474.3 - -552. Round v to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**4*w - 4*b**4 - 189*b*w wrt b?\nAnswer: -60*b**2*w - 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**3\/3 + v**2\/2 - 540000*v + 4. Let c be j(0). Round c to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 58 = -46. Calculate the least common multiple of b and 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 2:57 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*l**4 - 4*l + 14*l + 13*l**4 wrt l?\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 5*m + 20. Let g(s) = s**2 - 1. Let z(t) = -3*g(t) + q(t). Is z(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 441987294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3303 + -1?\nAnswer: -3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 991583587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3\/2*r**2 + 0 + 3\/2*r**4 - 5\/3*r + 11\/6*r**3 - 1\/6*r**5 = 0.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*0.079\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248 - 137. Suppose 5*s + g + 64 = 0. Let o = 63 + s. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -910.34 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 33*x + 55. Let a be w(-1). Suppose 23 + 62 = 5*g. Suppose g - a = -f. Solve f - 1 = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64490586 divided by 4.\nAnswer: -32245293\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bscasscbcaysrcsascbr. What is prob of picking 2 r, 1 s, and 1 c?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69.08889 - -59.2342.\nAnswer: 128.32309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 3. Let k = 0.1255 - -7.8745. Sort k, a, 0 in descending order.\nAnswer: k, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -13. Let b(m) = m**3 + 3*m**2 + 2*m + 2. Determine b(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 10 = o, -3*o - o = 5*f - 19. Suppose 0 = -4*b + 13 - o. Suppose b*h + 1 - 10 = 0. Solve h*w = -2*w - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n - 62 - 100*n**2 + 24 + 99*n**2 = 0. What is n?\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*j - 60*j = -2500. Solve -34 - 26 = j*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -28*s + 24*s - 2*g, 0 = 2*s + 2*g - 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 186, 595, 1378, 2661, 4570?\n\"Answer: 21*g**3 - 2*g**2 + 20*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + k)*(-6 + 2 + 2 + (7 - 5 + 4)*(1 + 2 - 1)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2660 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6077 - 665?\nAnswer: 5212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16) + 43\/4. Let z = 14 - n. Suppose 3*u - 87 = -z*o, 23 = 3*o - 2*o - 2*u. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24530 and 10?\nAnswer: 24530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1 - 22*d + 14*d - d**2 + 3 + 9*d. Calculate m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81261127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/5))**(11\/3)\/(j**(-2)*(j\/(j*j**(3\/5)))\/j) assuming j is positive.\nAnswer: j**(131\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 + 3766 - 3766.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*((-2)\/(-5) - -2). What is the greatest common factor of q and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (7 - (3 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -7294, -4 in decreasing order.\nAnswer: 7, -4, -7294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from athhtbhhbajhtht?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*o - 298, 3*o + 97 = -j + 2*o. What are the prime factors of j\/(-21) + 2\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 17\/120*n**6 + 2\/3*n**5 + 29\/24*n**4 + 0*n + 0 + 329*n**2 + n**3. Factor h(v).\nAnswer: (v + 1)**2*(17*v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 312464, 312473, 312488, 312509, 312536, 312569?\nAnswer: 312608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 4, 0.5 in ascending order.\nAnswer: 0.5, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + (0 + sqrt(1377))**2)*3 + (sqrt(1377) - sqrt(1377)*-1) + 1 - (-6*(-1 + sqrt(1377)))**2*-1.\nAnswer: -603*sqrt(17) + 53740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b + 1. Let w be y(3). Let a = -34 + 32. Let d be a\/4*24\/w. What is the biggest value in d, -3, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 28. Put b, -2, 5, -1 in ascending order.\nAnswer: -2, -1, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q**3 + 19*q**2 + 5*q + 4. Let v(f) be the second derivative of -3*f**5\/20 - 3*f**4\/4 - f**3\/3 - f**2 + 3330*f. Calculate 5*v(a) + 2*x(a).\nAnswer: -a**3 - 7*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2712, -5484, -8276, -11082, -13896, -16712?\nAnswer: -19524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 + 9.1?\nAnswer: 9.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 + 52\/14. Let t(r) be the second derivative of -r**5\/20 + r**4\/2 - r**3 + 5*r**2\/2 + 17*r. What is t(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and 20.29.\nAnswer: 8.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023562 rounded to 4 decimal places?\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*y = 2*y + 2538, -3*y + 519 = l. Suppose -3*v + l = -3*k, -2*v - 4*k + 300 = -22. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -26. Let t(u) = -2*u**3 + u. Determine t(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282300 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/19194 and 127\/12.\nAnswer: 38388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 331, 323, 313, 301?\n\"Answer: -p**2 - 5*p + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -33. Suppose n*m = 7*m + 147. What is the remainder when (-3)\/m - (-566)\/7 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -473 - -878. Let y = a + -241. What is the remainder when y is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450f (base 16) in base 9?\nAnswer: 136131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -1, 2, 21, -47547 in descending order.\nAnswer: 21, 3, 2, 1, -1, -47547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1398792 * 5.\nAnswer: -6993960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 250816614.\nAnswer: 250816613.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.034956547 - -7.034957297. Let z = x - 7. What is z rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -14 - -10) + -19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2096, 4311, 6690, 9227, 11916, 14751, 17726?\n\"Answer: -i**3 + 88*i**2 + 1958*i + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28860 (base 10) to base 6.\nAnswer: -341340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164 divided by -1.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j*(j**(-4\/11)*j)\/j)**33*(((j*j**8\/j*j*j)\/j)\/j)\/j*(j*((j\/((j*j**(2\/3))\/j))\/j)\/j)\/j*(j**(2\/9)*j)**(12\/7) assuming j is positive.\nAnswer: j**(-956\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 11:55 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/12)*j\/j**5*(j**(-1\/11)\/j)\/j**(2\/21) assuming j is positive.\nAnswer: j**(-1623\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*w - 28 = 0, -i + 3*w + w + 13 = 0. Let x = 374 + -377. Which is the nearest to -2\/7? (a) 1\/5 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 65.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5812*r**4 + r**3 + 2547*r - 66098245.\nAnswer: 23248*r**3 + 3*r**2 + 2547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26682.000021638 - -26682. What is p rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54 - -1546?\nAnswer: 159a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 793591.3g to kilograms.\nAnswer: 793.5913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(209)*-4)\/((-1*sqrt(1331) - sqrt(11)) + sqrt(11) - sqrt(11) - (sqrt(11) - sqrt(110)\/sqrt(160))))**2.\nAnswer: 311296\/2601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305125, -610699, -916269, -1221835, -1527397?\nAnswer: -1832955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 56 - -6?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2147429.\nAnswer: 2147429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534936 a multiple of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*f - 2086742 = 105*f + 512218. Does 56 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 271 - 10. Let j = 391 - y. Does 12 divide j\/5 + (-2)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*a - 3840 = 284*a - 657*a for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/21)\/((-52)\/(-91)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 1a?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r + 5. Let j(i) = -15*i - 12. Let m(q) = -12*f(q) - 5*j(q). Let n(d) = -315*d. Determine -91*m(g) + 6*n(g).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1584))*5)**2 + -4.\nAnswer: -1200*sqrt(11) + 39696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19.1 + -18. Let v = -0.1 + o. Is 2\/9 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -110 - -110. Solve d = 4*l - 0 + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(sqrt(7) + -4)*6 - (1 + sqrt(7) + (-3*sqrt(112) - sqrt(112))))**2.\nAnswer: -1050*sqrt(7) + 3717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7229 - -12679. What are the prime factors of g?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 + z + 3. Let b be n(0). Find the common denominator of 38\/9 and b*(-51)\/(-24) - 2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4301195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**4\/4 + 4*n**3\/3 + 15*n**2\/2 - 10*n - 234. Let z be b(6). Solve z*a + 52 = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzjj when four letters picked without replacement from {z: 2, u: 4, h: 8, r: 1, o: 2, j: 3}?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.94 + -1.06. Let k = -5 - -4. Which is the smallest value? (a) 5\/2 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f - 53*f = 8. What is the hundreds digit of (-550)\/f - ((4 - -2) + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47561 and 175.\nAnswer: -8323175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r - 10. Let w be p(-4). Let t = w - 23. Let d = 11 - 8. Sort 4, d, t in decreasing order.\nAnswer: 4, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: (-10 + (-20)\/(-5))*(-2)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, v: 2, x: 1, e: 1}. Give prob of picking 2 p and 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let k(a) = -15389*a + 32. What is n(k(v))?\nAnswer: -15389*v + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 50, -0.88, -0.1, -15?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, q: 5, t: 2, o: 1, m: 2, r: 2}. What is prob of sequence mtmq?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 89*i + 291. Let t be g(-3). Solve -3 = s, -5*s - 45 = -y - t for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 5, 0.3, -0.2, 1 in decreasing order.\nAnswer: 22, 5, 1, 0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {v: 2, p: 2, d: 3, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6239304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dydoyye. Give prob of sequence yody.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 + 0*r**3 - 4*r**5 + 29*r**2 - 20*r**2 + 3*r**3 wrt r.\nAnswer: -240*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x**(-25)\/x)\/x))\/x)\/x)\/(x**(-6)*x) assuming x is positive.\nAnswer: x**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -46 - (2 + -2 + -2). Let a = w + 73. Suppose a = i + 8. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-15))\/((-6)\/(-3))*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 412 + -413.83. Let l = z - -1.33. Let u = 0.07 + 7.93. Which is the third biggest value? (a) u (b) l (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*0.23383628.\nAnswer: -1.87069024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 5*s - 5*s + 5*s + 939 + s**3 - 935. Calculate l(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -350, -11, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (1040\/832)\/(5\/16)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*n**4 - n**3 + 290*n**2 wrt n?\nAnswer: -96*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6107 - 2245. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 3b2?\nAnswer: -3b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 + 208164*f - 4788830 = 0.\nAnswer: -104105, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3024 is divided by 1433?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from tvqqxvqxkktvqqqktt?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c**6)\/((c**(-3\/5)*c*c)\/(c\/(c*c**7*c)))*(c\/c**(-1))**(5\/17)\/((c**8*c)\/(c**1\/c)) assuming c is positive.\nAnswer: c**(-749\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - 4*t**2 + 4*t**2 + (1 + 2*t - 1)*(-t**2 + 2*t - 2*t) - t - 2*t**3 + t - 27 + 14*t**3 + 141*t**3 - 113*t**3.\nAnswer: 37*t**3 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 0*b**3 - 1\/12*b**4 - b**2 + 0*b + 0. Let n(w) = -5*w. Give q(n(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -484.6*-0.14.\nAnswer: 67.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p - 1 - 11 - 10 + 15. Let k(v) = 5*v - 6. What is 6*k(o) - 5*w(o)?\nAnswer: 5*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 60, 119, 230, 405, 656, 995?\n\"Answer: 2*g**3 + 14*g**2 + 3*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:07 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -0.052 in descending order.\nAnswer: 4, 1, -0.052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x. Let c(b) = 11*b - 3. Suppose 0 = 21*a + 1481 - 1544. Let n = -8 - -4. Let z(o) = 10*o - 4. Let r(h) = a*z(h) + n*c(h). Calculate r(s(f)).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1234*v + 1644*v = 6150 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/42)\/(-1))\/((-13)\/78)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*u = 52 - 47, 3*z = -4*u + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 82529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 157.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 94*g - 183*g + 90*g. Determine w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103 in -2\/13, -1\/10, 3, -0.5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42310200 (base 5) to base 13.\nAnswer: -c5065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*d + 11. Let l = 2 - d. Is 5 not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m + 33710. Let h be q(0). Suppose 4*c - h = -6*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 9, -3*s + x = -0*x - 51. Let d = -8 + 16. Let j = 13 - d. Solve 0 = j*a - 1 + s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*o - 3*j - 3 = -108*o, -3*o + 30 = 7*j for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-126)\/(-8)))\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*i - 15. What is the second derivative of -2*b**3 + 70*b**i - 27 - 28 + 3 + 5*b - 6*b wrt b?\nAnswer: -12*b + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 167266.80639 - 167266. Let h = c + -0.802. Round h to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.714201 to 1 dp.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 14*v - 14. Let f(s) = 5*s - 5. Suppose 83 - 32 = -3*t. What is t*f(r) + 6*h(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 14 - 2. Let a be (8\/h)\/(2\/(-6)). What is the remainder when a*1*392\/16 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 5330*f - 5326*f - 11, 0 = 3*f - 6*p - 27 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 352228612?\nAnswer: 352228611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 + 923 = -410*o - 649 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -61436? (a) 0.02 (b) -5\/4 (c) -42\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -1011?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 2*a - 0*a + 8, 0 = -4*r + 4*a + 24. Suppose -5*s + 7 = -r*q + q, 0 = 2*s - 3*q. Let b = s - -17. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 2)*(14*u**2 - 1551 + 1551)*(0 - 3 - 1) as p*u**2 + h*u + g and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -600140 less than 65?\nAnswer: 600205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(2 + 2 - 3)*(0*j**2 + j**5 + 0*j**2).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321820 divided by 80455.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -57.2. Let w = y + -19. Sort -2, w, -0.1 in increasing order.\nAnswer: -2, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b - 19 = 35*b + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -86650 divided by 17330?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + l. Let u(h) = 3*h**2 - 25*h + 2. Determine -2*s(y) - u(y).\nAnswer: -y**2 + 23*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -22. Calculate the remainder when 59 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -9*h + 48, -142*h + 140*h = l - 24. Solve l*c - 15*c = -125 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193632 or 193081?\nAnswer: 193081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6518 - -6521. Put -2\/7, 0.05, -0.4, 1, t in ascending order.\nAnswer: -0.4, -2\/7, 0.05, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jky when three letters picked without replacement from kfjekgyeeeke?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (63\/42*4\/(-30))\/(228\/95)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 6*n = -4*n + 26, -5*k - 15 = -n. What is the nearest to -1 in k, -0.3, -0.09?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 7*r**2 - 7*r - 7. Let h be f(-6). Let k be 3 + (h - 0)*-1. Suppose -2*j = 2*o - k*j - 6, -2*j = -o - 2. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 2:52 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - (-14 + -1 + -11).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**4 - 1029105*b**3 - 3087345*b**2 - 3087355*b - 1029120.\nAnswer: 5*(b - 205824)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.2855253 to three decimal places.\nAnswer: 9.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3 + 3 - 411*r + 412*r. Let q(n) = n + 7. Suppose -3*j = 2*h - 20, -4 = -2*h - 2. Give j*q(a) - 7*u(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 29829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-5)*(-3 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86805.86 - -4.355538.\nAnswer: -86801.504462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15214?\nAnswer: 2, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f + 449. Let c(z) = 4*z + 447. What is 4*c(g) - 5*p(g)?\nAnswer: -4*g - 457","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2922 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (55 - -48) - 108.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 2, u: 1, a: 2, z: 1, l: 1}. What is prob of picking 1 c, 1 z, and 1 l?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2636.\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 57713 (base 9) to base 12\nAnswer: 1a333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-70) - 9\/(-7). Suppose n = -i + 3. Let g = -8 - -13. Solve -n*o = -4*a + 30, g*a = -o + 30 - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001 - -11111101111?\nAnswer: 11110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2151406*u + 5 = -2151405*u + 2*r, 4*r = 7*u + 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 127 - 561. Let y = 174 - d. What is the second smallest value in -3, -0.01, y?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/6 - -1)*8. Suppose -5*b + 5 = 3*z - 5, -4*b + j*z = -8. Calculate the remainder when 6 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 15*y + 1. Let i(p) = -p**2 + 1. Let u = 12720 - 12719. Determine u*z(n) + i(n).\nAnswer: n**2 - 15*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 14) + (1 - (-3 + 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1541.285 hours to nanoseconds.\nAnswer: 5548626000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (212190\/(-9002))\/(6\/14)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 0.85, -0.5, -5\/4, -0.3.\nAnswer: -5\/4, -0.5, -0.3, 0.85, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*k - 21, d + 3 = 5*k - 23. Let f(i) be the first derivative of 2*i**3\/3 - i**2\/2 - 15. Let l(m) = m**2. Give d*f(o) + 3*l(o).\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2 + 2*o**2 + 0*o**2 + 2135*o**3 - 3425*o - 1234*o**3 wrt o?\nAnswer: 5406*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-1)*(6201\/(-1272))\/((-3)\/(-4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*c - 3*x - 0*x, -3*c + 11 = x. Suppose -2*h + 12 = c*h. What is the third biggest value in 5, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15034337 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + -35. Is 98 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/8 - -6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/3)\/((-3)\/36). Let h = 10 + j. Put 5, -3, h in ascending order.\nAnswer: -3, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuupuu. What is prob of picking 2 u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-332.\nAnswer: -66.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -7*p - 3. Let f be u(-6). Suppose -4*h + f = 27. Find the second derivative of -i + 0*i - 58*i**h + 65*i**3 wrt i.\nAnswer: 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yooo when four letters picked without replacement from {y: 3, o: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64570 - 3061*f + 32287 + 32283)*(-1 + 4 + 1).\nAnswer: -12244*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1. Let z = -8 - -10. Suppose v - z = -0. Let y(q) = 4 - 2 + q + v. Calculate 4*u(n) + y(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 310451459318 + -310451459890.999999524. Let d = -573 - v. Round d to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -67*g + 1168. Determine o(17).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + 56 + 38 + -5.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 483807926.9999957 - 483807949. Let w = n - -22. Round w to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1595, -1599, -1581, -1517, -1383, -1155, -809, -321?\n\"Answer: 4*n**3 - 13*n**2 + 7*n - 1593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 16 (c) 2\/11 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37656 and 936.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 149*w**2. Let a be s(1). Let l = a - 448\/3. Which is greater: 5 or l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s + 1. Let f(h) = h**3 + 6*h**2 + 8*h - 8. Let i(j) = f(j) - 2*t(j). What is the tens digit of i(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 1.4, 1.2531 in increasing order.\nAnswer: -0.3, 1.2531, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -152*q*r**3*t**2*w - 95*q*r*t**3*w + 27*q*t**3 - 2*q*t + 6*r**3 wrt w?\nAnswer: -152*q*r**3*t**2 - 95*q*r*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (((-x - x + 4*x)*(-1 + 0 + 3) + x - 5*x + 5*x - 4*x + 1 - 1 - 2*x + 1 - 1)*(-2 - 3 + 3) + (-2 + 2 + x)*(-2 + 4 + 0))*(-3*x**3 - x**2 + x**2).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40810 and 1047739.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 348, 699, 1048, 1395?\n\"Answer: -n**2 + 354*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 12, 0.2 in increasing order.\nAnswer: 0.2, 12, 117","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 7328920?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 12. Let x(h) be the third derivative of -h**5\/12 + 4*h**3\/3 - h**2. Let i(d) = -3*d**2 + 5. Determine c*x(s) - 8*i(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1422 and 7218?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1833945504.\nAnswer: 2, 3, 131, 145829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.485 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2973 + 2979. Solve 0 = 5*v - 3*r + 11, u*v - 2*r + 2 = 4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2354 - 365. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7209756 and 28?\nAnswer: 50468292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-5))*v\/(v*v\/(v*v\/(v*v\/(v*v\/v**(1\/3))))*v*v))\/(((v*v**(-1\/5))\/v)\/v)**(1\/7) assuming v is positive.\nAnswer: v**(-647\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5 (c) 2\/39 (d) -59 (e) -214\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + 4 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j + 3. Calculate the remainder when 11 is divided by a(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25893 and 1323?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 8:42 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u. Let f(b) = -51*b + 51*b - 3*b**2. Calculate n(f(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from {k: 5, d: 3, l: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -367 - -364. Let i(o) = -2*o**3 - 3*o**2 + o + 2. Calculate i(p).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 60, 151, 300, 519, 820, 1215, 1716?\nAnswer: 2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 13*t - 23991 = 0. What are the prime factors of t\/15 - (-9)\/15?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jlj when three letters picked without replacement from {j: 3, l: 7}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**2 - 11 + 11.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g - 2*c - 696, 2*c = -4*g + 1410. Suppose 0 = -k + g - 131. Suppose 7*v = 3*v + k. Calculate the greatest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 + 408*f - 3136.\nAnswer: -2*(f - 196)*(f - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1421, -1417, -1447, -1541, -1729?\nAnswer: -2041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4619263 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = d - 3, 5*d + 12*x - 44 = 16*x for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 18. Suppose -2*w = -2*b - 1479998, 0*b + l*w = -5*b - 3700002. Round b to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/17)\/d)**(7\/2) assuming d is positive.\nAnswer: d**(-105\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12626848 (base 9) to base 11.\nAnswer: 3567a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4485)\/(-182) - 25)*(-98)\/42\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*x + 0 - 2 + 12*x + 2 + 2*x - 2 + (-x + 6*x - 3*x)*(0 + 0 - 2) as t*x + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(396) - (sqrt(396) + -2)**2) + sqrt(396) - (-2*(sqrt(396) + -4) - sqrt(396)).\nAnswer: -404 + 54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 4*y + 33, -57 = 6*q + 9424*y - 9423*y for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - -2) + (-6 - -4). Solve -2*o + 8 - x = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -77? (a) -8 (b) 3 (c) 1\/3 (d) 4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 1333 - 1804. What is the remainder when u is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 4. Let g(z) = -z**2 - 14*z - 13. Let q be g(-13). Let c(a) = 9 + q - 8. Let r(f) = -b(f) + 3*c(f). Give r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = 2*v + 2*v. Let u = -20 - v. Let p = u + 3. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**3\/3 + 14*q**2 - 110*q - 86. What is the lowest common multiple of 2 and r(22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 738 + 497 = 0. Suppose 0 = -c + h + 1030. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -4.4, -1\/3, 134, 5, -3\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 313082 and 32813.\nAnswer: 49153874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 20194*o + 20199*o - 34, 8*o - 18 = -5*h + 50 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -71*v**9\/56 + v**6\/120 - v**5\/60 + 377*v**3\/6 - 285*v**2. Find the third derivative of w(m) wrt m.\nAnswer: -76680*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 65 = -3*i. Let w be 10\/i + 2\/7. Let s be (-30)\/(-2) + w + -1. Solve 5*p - 2*p = -s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1700)*-2*-3 + 2 - (sqrt(1700) - (sqrt(1700) + 5 + sqrt(1700)*-1 - sqrt(1700)) - (sqrt(1700) - (-2*sqrt(1700) + sqrt(1700)))*3))**2.\nAnswer: 1400*sqrt(17) + 170049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -42 - (-12 - -4 - (2 + -13)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.3 - 9.238. Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5275165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -240580 - 0.1181?\nAnswer: -240580.1181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*n*y**4 - 771*n*y**2 - 13*n*y + 40440*y**6 + 36 wrt y.\nAnswer: -984*n*y + 4852800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(2*w + 10 - 6 - 53).\nAnswer: 4*w - 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/43 or -148?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i. Suppose 12*n + 36 = 6*n. Let d(p) be the third derivative of -p**4\/6 + 4*p**2. Let h(b) = -2*b. Let w(j) = n*d(j) + 11*h(j). Give s(w(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-128)\/480 - 6357\/(-45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 h when three letters picked without replacement from {m: 2, h: 7, i: 1, j: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 55 = 389. Suppose t*q = 40*q - 1866. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 10*k - 16. Let g be t(4). Let u(j) = 3*j + 4. Let s(f) = 4*f + 9. Let v(x) = -3*s(x) + 5*u(x). Give v(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 4.085\nAnswer: -4.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -5*s**2 + 12*s + 2. What is the first derivative of l(y) wrt y?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146384226*n**5 - n**2 + 39*n - 67889 wrt n?\nAnswer: 8783053560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*s**2 - s**2 - 2*s**3 + 2*s**2 - 3*s**3 as c*s + x*s**3 + a*s**2 + v and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*n - 5, -13 = 5*v + 2*n - 15. Solve 0 = -17*r - v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - (0 - 12)*4\/6. Let l = 4 + 0. Suppose 10 = -0*y + 5*y. Solve l*d - y = p*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*g + h, -20 = -8*g + 3*g + 5*h. Solve 0 = 5*w + 3*a, w = -g*w - a + 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784160 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*g - 14. Let n be (-2)\/(-7) - (-4)\/(-14). Suppose n = -3*p - 0*p + 60. Solve -g*f + p = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.46*0.0937.\nAnswer: -0.043102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 - (-5 + -24 + 13) - -12.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*s - 16 - 425*s + 16.\nAnswer: -885*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (12 - 12 - (4 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28201 and 4?\nAnswer: 112804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -14 + -15 + 3 + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 + 5) - (-3 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-5)\/(-1)))\/(8\/(-32))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1755 + 317 = 8*q. Suppose 2*r + q = 285. What is the remainder when 25 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1350 and 132570?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 8*o - 11. Let u(k) = -2*k + 1. Give t(r) + 7*u(r).\nAnswer: 2*r**2 - 6*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 704 and 1468104.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1.944, -1\/61, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 6*c - 8. Suppose -4*o = 2 - 26. Let q(l) = 5*l + 2*l**2 + 4 - 8 - 3. Give o*q(s) - 5*g(s).\nAnswer: 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(-1*sqrt(6)))\/((sqrt(28)*-1)\/sqrt(7)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + ((sqrt(931) + -1)*-3 + 1*(sqrt(931) + 1))*-5)*-5)**2.\nAnswer: -87500*sqrt(19) + 2343125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27 + 54 + 298*b**6 + 30*b**2 - 76 wrt b.\nAnswer: 35760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 8*a = 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 14*f - 2. Give k(9).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24326575.\nAnswer: 5, 7, 13, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -10*n**2 - 20*n. Determine v(-4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -331 + 254. Let w = p + 88. Which is greater: 49\/5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 g, and 1 c when three letters picked without replacement from iicsgmx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -2639 - 1969. What is the least common multiple of 64 and t?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 2. Suppose b + m = 2*f, 3*b + 3*f = 7 + 5. Let n be (-1 - -2)*b + 9998. Round n to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 22 + (4 - 21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3150 and 735?\nAnswer: 22050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*((-304)\/(-20) - 3). Let r = -12 + q. Which is the nearest to 0? (a) -1\/4 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.07, -28\/23, 1\/2, 0, -1\/4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbyb when four letters picked without replacement from {b: 6, x: 1, w: 3, y: 2}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5224172, -5, 4, 7 in ascending order.\nAnswer: -5224172, -5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 237 - 3996.959.\nAnswer: -3759.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-1792.\nAnswer: -1254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from tstoctcscsss.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -174910 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1468999*x + 1469056*x - 1425 = 0 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24832 and -0.012?\nAnswer: 297.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -98356.\nAnswer: 13\/98356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -2*v + 19, -1034*v + 3*t + 18 = -1035*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/56*2*(1 + 45\/18). Solve -2*z = 3*a - 11, -4*a + y*z + 3 = -7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-55) + 17\/(-5). Let a = k + 28. Let z be ((-5)\/a*-9)\/((-2)\/(-10)). Solve -2*s + 22 = 4*b, s + z = 2*b - 0*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -981*d**4\/5 + 195*d**3 + 6*d**2\/5.\nAnswer: -3*d**2*(d - 1)*(327*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4 - 8) + 35 - -14) + -9 + 0?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - -1) + 50 + 10 + -28 + -33?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.016 to the nearest integer.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 272 + -267. Let t(l) = 2*l**2 + 11*l - 25. What is the tens digit of t(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 3 + (-3402)\/(-7). Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1317 - -1?\nAnswer: -1316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-757 - -708) + (35 - 1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 8\/(24\/45). Suppose 502 = o*b - 1238. Calculate the remainder when b is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 7 (b) -8 (c) 0.1939\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 2*i - 2. Let y be c(-2). Suppose y - 24 = 3*m. Calculate the lowest common multiple of 2 and 12\/9*(-27)\/m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 10 = -y, 0 = -w + 4*y + 49. Does 55 divide 1099 - 1 - (-11)\/(w\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248, -249, -250, -251?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/9720 and 17\/1944.\nAnswer: 9720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 8. Suppose -p*q + 17 = -u, 22 = -5*u + 5*q - q. What is the tens digit of -25*((-26)\/10 - u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -96 + 2*l**2 + 96. Let f(c) be the second derivative of -c**3\/3 - c. Calculate f(p(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1699.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4113717, 4113694, 4113657, 4113606, 4113541, 4113462, 4113369?\n\"Answer: -7*l**2 - 2*l + 4113726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 54. Let k(o) = o + 56. Determine 4*k(t) - 3*r(t).\nAnswer: -2*t + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138427.\nAnswer: 138427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 15. Suppose 0 = b - 2*b + f. Solve 0 = -3*w + 5*p + 17, -2*w = 2*w + 4*p - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1340400 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -584, -958, -1120, -1070, -808, -334?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 3) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1628*p*y**3 - 652*p*y**2 - 6*p - 136901 wrt y?\nAnswer: 4884*p*y**2 - 1304*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 173171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.646 + 6.6. Round b to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 16*y + 7*y)*((-5 + 3 + 1)*(0*y + 0*y - y**2) + y - y + y**2 - 2*y**2 - y**2 + 4*y**2)*(5 + 7 - 61).\nAnswer: 1029*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -63. Let j = h + 43. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15*h**3 - 60*h**2 + 4*h - 1. Let k(t) = 4*t**3 + t. Calculate 4*k(c) - r(c).\nAnswer: c**3 + 60*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -21324 and -21324 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*o + 21 = 0, c - 105855*o + 105832*o = -17 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvrvvvvvvvvvvvvv. Give prob of sequence vr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -17, -41, -85, -155?\n\"Answer: -j**3 - j**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 i, and 1 l when four letters picked without replacement from {l: 7, w: 1, j: 2, i: 4, d: 1, q: 5}?\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-24)\/(-34)))\/((-917)\/1048*3\/21).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t**3 - 3*t**2 - t. List the prime factors of u(-2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - 3. Let i = 62 + q. What is the remainder when i is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - o + 1. Let h(q) = 7*q**2 - 3*q + 5. Let r(c) = 17*c - 39*c**2 + 4 - 14 - 11 + 38*c**2. Let l be r(16). Calculate l*n(j) + h(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -10) + 4 + -1. Suppose -3*p + k = -4. Find the third derivative of -3*w**2 + 11 + 6*w**2 - p*w**4 - 11 wrt w.\nAnswer: -144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*v + 16 = -0*v, 0 = 5*v - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k. Let j(p) = -5*p. Let w(h) = 4*g(h) + 5*j(h). Let i(n) be the first derivative of 3 - 2\/3*n**3 + 0*n**2 + 0*n. What is i(w(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 2)*(7*c - 9*c - 3*c) + (3 - 2 + 0)*(-5 + c + 5)*(2 - 1 - 3))*(2*c + 0 + 0).\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 3. Let t(s) = s + 4. Calculate the remainder when t(l) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 4:38 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 26*y**2 - 118*y - 50. Give m(30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 11:45 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from ozoo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 140570*d**2*u**5 + 3*d**2 + 3*d*u**2 - 4*d - 2*u**3 - 125*u**2 - 1 wrt u?\nAnswer: 8434200*d**2*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/((-2438)\/(-265))*3\/3*(-10)\/2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 0.06, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 602462154 - 0?\nAnswer: 602462154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13016191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/183, -1.9573, 3\/7?\nAnswer: -1\/183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-175)\/7)\/5)\/((-1)\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/30 + d**2. Let x(w) = 53*w - 53*w + w**2. Calculate f(x(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-12)*((393024\/(-575))\/(-24) + -28).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 6*n - 5. Suppose -5*o - 25 = 50. Let x = o + 20. Let p be f(x). Solve p = l - 2*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 minus -0.39816?\nAnswer: 0.58816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 - 8*f**2 + 17*f - 19. Let x(o) = -2*o**3 + 5*o**2 - 11*o + 13. Let s(m) = 5*j(m) + 7*x(m). Factor s(q).\nAnswer: (q - 2)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/(35\/(-30) + 1). Suppose w*c + 0*c = 12. Put 0, c, -6 in decreasing order.\nAnswer: c, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 10 = -4*n - 2*n, 0*n = -4*c - 3*n - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 h when four letters picked without replacement from {v: 6, h: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by 202.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + x + 69 = -15, -3*x = 0. Suppose 3*a - 30 = 3*c, 5*c + 2 + 6 = -a. Calculate the greatest common divisor of r and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruqukkvkuuqvquuui. Give prob of sequence iq.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*n + 21 = 0, l + 5*n - 6 = 2*l. Let c(y) = y**3 + 31*y**2 - 36*y + 115. Let q be c(-32). Calculate the greatest common divisor of l and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*m - 26 = 0, 0 = y - 5*m + 1 + 21. Suppose -3*g = -5*c - 2*g + 749, y*c - 5*g - 467 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*j + j + 23, 5*v = -5. Let i be (-4)\/(-6)*(-27)\/j. Sort 1, i, 4 in decreasing order.\nAnswer: 4, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 - -157. Which is the second smallest value? (a) 1\/4 (b) k (c) 4 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.083697393 to 5 dps.\nAnswer: 0.0837","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 72636407.74 to the nearest 1000000.\nAnswer: 73000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*h + 5*j, -2*j - 80 = 5*h - 103 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06745 + -0.06752751. Round y to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -238800 to the nearest 1000.\nAnswer: -239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -2)\/(-4 - -2). Suppose 3*g = -0*g. Suppose -l - c*o = g, 0*l - o = l + 2. Sort 2, l, 3 in ascending order.\nAnswer: l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*l**2 + 108*l - 3 = 0.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, p: 10}. What is prob of picking 2 u?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 17639988 = 4*p, 10*p - 14*p + 5879988 = n. Suppose -61*z + 64*z + n = 0. What is z rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/868 and 103\/13908.\nAnswer: 3018036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -27 (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/20 + 1793*o**2 - 3*o. Let w(u) = -12*u**2 + 11*u**2 + 68*u**2. Calculate w(k(j)).\nAnswer: 603*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 44 = 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 10*m**2 - 9*m + 88. Let b be l(10). Calculate the common denominator of -62\/123 and 2002\/(-315) - -9 - b\/(-10).\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 2:34 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(0*y - y**2 + 0*y) + (-17234 + 10*y - y + 17240)*(101 + y + 78 - 162).\nAnswer: 11*y**2 + 159*y + 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1230 - 2460 - 228*y + 1230 - 2*y**2 in the form b + s*y**2 + n*y and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398462 is divided by 394507?\nAnswer: 3955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 147962 (base 15) in base 12?\nAnswer: 3b7655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/64)\/(6*2*(-4)\/32).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -21*m + 1217. Calculate o(58).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23091 by 2664.\nAnswer: -7697\/888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/4, 0, 2, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4714610891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -22*p + 354. Let k be o(16). Solve 0*a + 0 + 1\/6*a**3 + 1\/6*a**4 - 1\/3*a**k = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3078880, -3078876, -3078872, -3078868?\nAnswer: -3078864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 602 and 3526?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a meter in millimeters?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4887 by 181.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Suppose 5*t - 167 = 3*i, w*i + 168 = 2*t + 3*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 10*h**2 - h - 17. Let o be k(-9). Let z = o - 18. Let v = 59 - z. Solve v*l - 6 = 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 150004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -174984.074 to the nearest one thousand.\nAnswer: -175000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -5. What is the nearest to 1\/2 in 2, -2\/13, k?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.4 in -84, 0.66103, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*h**2*m*p**2 - h**2*m*p - 2*h - 2*m*p**2 - m*p + m wrt p.\nAnswer: -68*h**2*m - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/12 and (-190)\/(-4)*10\/150?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 599764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50610292 - -35795544. Let s = 7704748 + i. What is s rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5541 + 5537. Which is the closest to -0.145? (a) 3\/5 (b) o (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -908, -1786, -2640, -3458, -4228, -4938, -5576?\nAnswer: -6130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -567 by -15.\nAnswer: 189\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2128 and -133\/12.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-243)\/81*(-4 - -1). Let v(t) = 222*t - 2. Let u be v(-4). Let z = u + 2698\/3. Which is greater: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**3 + 2*a**2 + 2*a - 2. Let c be h(1). Sort c, 5, 4, -1 in ascending order.\nAnswer: c, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120021101 (base 3) to base 6\nAnswer: -123314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20871*r + 1382*r**2 - 20871*r - 2*r**3)*(1 - 3 + 4)*(-5 + 0 + 3).\nAnswer: 8*r**3 - 5528*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5 - 115*c**4 + 3672*c**3 - 20412*c**2 = 0 for c.\nAnswer: 0, 7, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2175 - -6130. Suppose 7*i - 553 = u. Let y be 4\/6 - i\/(-42). Solve -6*q = -2*q + y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4472)\/129 - -34) + 1*22\/6. Let k(p) be the second derivative of -14*p + 5\/2*p**s + 11\/2*p**2 + 0. What is the derivative of k(z) wrt z?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -8*k + 43. Let q(h) = 5*h + k*h - 5*h - 6*h - 1. Determine q(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*((-180)\/(-35))\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v**3 - 650*v**2 - 144*v + 5. Let t be s(-72). Solve -t*o = 6 - 26 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 83. Suppose 3*f + 2 = 14. Let z = f + -4. Is o(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16b17 (base 14) in base 13?\nAnswer: -1cc80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155464757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -119, -113, -93, -53, 13, 111, 247?\n\"Answer: n**3 + n**2 - 4*n - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - i**2 + i + 9. Let k be o(0). Let a(c) = c - 6. Let h be a(k). Let d(n) = -n**2 + n. What is d(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*v - 16 = 68*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48523\/15 - -3235. Let r(l) be the first derivative of 0*l + 8\/9*l**3 + 5\/6*l**4 + u*l**5 + 0*l**2 - 15. What is s in r(s) = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 plus 0.1934068111?\nAnswer: -18.8065931889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14.8 + 0\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 18\/13*s**2 + 12\/13*s**3 - 2\/13*s**4 - 28\/13*s + 0 = 0?\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n**2 + 6*n + 2. Let i(j) = -j**2 + 5*j. Let p(r) = r**2 - 7*r. Let l(h) = 4*i(h) + 3*p(h). Give 6*l(x) + s(x).\nAnswer: -15*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6068979491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 14*d + 33. Let g be a(-4). Suppose g*o - 1399 = 320. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3453 is divided by 128.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 4 - 7 = -3*i, l + 2*i - 8 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 101898 and 64.\nAnswer: 3260736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 1966500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -0.012 (c) -1 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - ((6*sqrt(3) - sqrt(3)) + -2) - sqrt(3)) + (sqrt(3) - sqrt(48)*-2) - (sqrt(75)*-2 + 2 + sqrt(75)*-2*4))**2.\nAnswer: 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 7:21 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1804867743488 - 0.21.\nAnswer: -1804867743488.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*x**2 - 13*x**2 - 5*x**2)*(x - x - x)*(0*x - x + 4*x)*(-1 + 0 - 1).\nAnswer: -222*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**3 - 36*o**2 - 78*o - 40 = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2\/5 - 4\/5*n + 2\/5*n**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50.08 - -131.84. Round q to the nearest integer.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1727959 + -5?\nAnswer: 1727954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*n**3 + 188*n**4 - 164*n**4 + n**3 + (3 - 3 + n**2)*(0*n**2 + 2*n**2 + 0*n**2) + (-1 + 2 + 0)*(0*n**4 + 0*n**4 - n**4).\nAnswer: 25*n**4 + 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - -1.84. Let h = i - 2.3. Let g = -356\/1295 - 2\/185. Which is the fourth biggest value? (a) g (b) -0.2 (c) 0.05 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -25. Calculate the least common multiple of 8 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/11 in 7, 4\/9, -0.2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 - p**2)*(1 - 1 - p) + 3 + p**3 - 3 - p**3 + 0 + 0 + 4*p**3 - 5*p**3 - 5*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 2. Let s = 1 + 2. Let p(d) = d**3 - 16*d**2 - 9*d + 364. Let m be p(15). Let c(q) = -q + 1. Give m*c(u) + s*a(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -211\/10 - -133\/5. Let t = 35\/6 - j. Let g = -454.7 + 456. What is the smallest value in t, -4, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 4. Calculate the remainder when 23 is divided by t(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25389223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/30 - (3 - 7 - -7).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 547, 2212, 5127, 9406, 15163, 22512, 31567, 42442?\n\"Answer: 19*w**3 + 511*w**2 - w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w**2 + 10*w - 4. Let a be b(1). Let i(h) = -17*h**3 + 2*h**2 + 2*h. Let d(n) = -375*n**3 + 45*n**2 + 45*n. Give a*d(x) - 45*i(x).\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 18*o**2 - 3*o. Let i(y) be the third derivative of y**5\/30 + y**2. Determine x(i(k)).\nAnswer: 72*k**4 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158389 (base 10) to base 13.\nAnswer: 5712a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 + 46 + -56.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -906 = 2*s - 3*s. What is the greatest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1885 is divided by 125.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/9)\/((y*(y*y*y**(-1\/4))\/y)\/y))\/((y\/(y\/(y*y**7*y)*y))\/y**(2\/5)) assuming y is positive.\nAnswer: y**(-1423\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 251 + -200. Suppose 70*y = 69*y + w. Calculate the greatest common divisor of y and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3233709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 28*l**2 + 168*l + 1. Calculate x(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4859938 >= -4859938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**2*p**4 + 1865*n**2*p**3 - 167*n**2 - 2*n + 6 wrt p.\nAnswer: -4*n**2*p**3 + 5595*n**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 109705, 220156, 330607, 441058?\n\"Answer: 110451*c - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = -14*x + 25*x. What is the greatest common factor of 6 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3 rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 4 (c) -16\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*b, -4*z + 2*b + 2 = -3*z. Suppose 3*j = 7*j - 932. Suppose j - 677 = -z*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 366, 1\/8, 2, 0.4?\nAnswer: 366","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 28 = -68. Let f(o) = -2*o**3 + 3*o**2 + 8*o - 5. Let y(h) = -2*h**3 + 2*h**2 + 7*h - 4. What is q*y(j) + 4*f(j)?\nAnswer: 2*j**3 + 2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v = 4*f - 18, 0 = -3*f + 3*v + 12. Find the second derivative of -17*b**5 + 4*b**5 + 9*b + f*b**5 wrt b.\nAnswer: -160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 26 = 4. Suppose l - 2*m = m + 5500, -16533 = -3*l - q*m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (0 - -1) - (25 + -57 + 30).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 95 and 7030?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78.479 - -78.9. What is y rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 35, 4\/5, 2\/9 in increasing order.\nAnswer: 0.2, 2\/9, 4\/5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7299324 to the power of 1\/2, to the nearest integer?\nAnswer: 2702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 2*s**2 - 2*s - 5. Let y(x) = -6*x**3 - 11*x**2 - 11*x - 25. What is 11*h(n) - 2*y(n)?\nAnswer: n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145817, 145818, 145819?\nAnswer: 145820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x**3 + 0*x**3 + x**3)*(1 + 140 - 11)*(-8*x + 0*x + 2*x) to the form h + u*x**2 + s*x**4 + z*x**3 + d*x and give s.\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (954\/3710)\/((-6)\/20*-2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*g = 4. Let c be 61 - (g - (-2 - -3)). Suppose 6*r = c - 1. Solve 0 = -5*y + r + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/(-2)*15944\/(-9965).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 5. Calculate the remainder when a is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (sqrt(343) + ((sqrt(343) + 0 + 4 - sqrt(343)) + sqrt(343))**2)*5.\nAnswer: 315*sqrt(7) + 1794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -11. Suppose -4*t + 4*c + 28 = 0, -d*t + c = -0*c - 9. What is the remainder when 7 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*v + 24*v - 86. Let s = -29 + v. Calculate the lowest common multiple of 8 and s.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -293, 0.5, 1\/9 in descending order.\nAnswer: 0.5, 1\/9, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 2*x**2 + 19*x - 662. Calculate j(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 12. Let o be v(-6). Let h = -55 - -55. Which is the second biggest value? (a) o (b) -3 (c) -1\/3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 965266?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + l + 11 = 0, -7123*l = 8*b - 7120*l + 39 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74757*a - 262 = -74731*a + 258 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41916065 to the nearest integer?\nAnswer: 6474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Add together 546.09073 and 4.\nAnswer: 550.09073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001536 to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 98941?\nAnswer: 49470.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 - 8*u**2\/5 + 12*u + 144\/5.\nAnswer: -(u - 6)*(u + 2)*(u + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 168.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + 49. Calculate z(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(80*j + 8*j - 11*j)*(3*j**2 - 2*j**2 + j**2).\nAnswer: 308*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert a4 (base 14) to base 4.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29859 + 29858. Which is the closest to q? (a) -752 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 0, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24296 is divided by 10917?\nAnswer: 2462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 102.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2*88\/(-66). Suppose s - 6 = 3*s. List the prime factors of (-218)\/w - 3*2\/s.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*f + 0 + 4*f - 3*f + f + (0*f + f + f)*(1 - 3 + 3) + 37*f + 41*f + 51*f to y*f + q and give y.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/6 + -2 + 230\/(-210). Which is the smallest value? (a) l (b) -4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.02, -4, -2\/21, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2200 (b) -1.29 (c) 0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/70 - 3440\/(-14). Suppose 2*n + 0*n - 5*a - 170 = 0, 0 = n + 7*a - 123. Calculate the remainder when n is divided by q\/21 - (-2)\/7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 26*o = 9*o + 56640. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*a - 2*j - 13, 0 = -2*a - 4*j + 12. Find the third derivative of 2*n**2 + 4*n**a - 17*n + 17*n wrt n.\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29600\/12*(-18)\/(-4). Let o = t + -5140. Let y = 9415 - o. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 k when three letters picked without replacement from {v: 3, i: 2, g: 3, k: 2, x: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1201*z**2 + 20411*z - 102 = 0. What is z?\nAnswer: -17, 6\/1201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6 - 8*b + 7*b + 3*b. What is t(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 - 2*f**2 + 2. Let v(u) = 7*u**3 - 3 + 0*u**3 + 51882*u - 2 + 5*u**2 - 51883*u. Give 5*b(t) + 2*v(t).\nAnswer: -t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 5:49 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 + 4*n**5 - 5*n**5 - 1 + n**5 + 1 + (-3*n + 3*n - 3*n)*(2*n**4 - 7*n**4 - 3*n**4) + (2*n**5 + 0*n**2 + 0*n**2)*(3 + 1 - 2).\nAnswer: 31*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 1 = 7. Suppose q - 6 = -u*q. Suppose 3*d - g = 26, -3*d - q*g = -4 - 25. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/6 - 2096659*v - 12579957\/2.\nAnswer: (v - 12579957)*(v + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/2 + 9*u**4\/2 + 18*u**3.\nAnswer: -u**3*(u - 12)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*k - 109*k + 14. Let n(h) = 77*h - 46. Let d(i) = 77*i - 45. Let m(u) = k*n(u) - 6*d(u). What is the first derivative of m(a) wrt a?\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btpv when four letters picked without replacement from tpvqbvz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of 7*m**4\/12 - m**3\/6 + 3*m. Let c be j(2). Solve 0 = 2*l - 4*o + 24, -5*l + 4*o - c = 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21773684398672 + -1.1.\nAnswer: -21773684398673.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(2\/7)*l*l*l\/(l\/l**35) assuming l is positive.\nAnswer: l**(261\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -169, -248, -325?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20263 = 6*l - l - 2*u, -2*u + 4043 = l. Let y = l + -161963\/40. What is the common denominator of y and -65\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/5 + 1762*b**2\/5 - 8829*b\/5 + 10602\/5 = 0 for b.\nAnswer: -1767, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1 - 4*(23 + (-39)\/(-65)*-25)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzvv when four letters picked without replacement from {z: 3, v: 7}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 726*a - 727*a = -5*f + 48, 0 = -4*f - 5*a + 21 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -13*(-4)\/(-24). Suppose p - 6 = -3*a, -3*a + 9 = -4*p + 3. Suppose p = -5*c + 2*c - 3. Do o and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)\/l**(1\/11))**(2\/71))**(-39) assuming l is positive.\nAnswer: l**(-1170\/5467)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-49)\/(-5) - (4 - 4). Let i be 3\/(-2) - (-322)\/140. Factor -u*r**2 + 28\/5*r - i.\nAnswer: -(7*r - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 + 0.8. Let q = -1.8 - s. Does q = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 78, 280, 618, 1092, 1702?\n\"Answer: 68*x**2 - 2*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-46)\/4 - (-18 - -14). Does 20 divide -30*30\/p*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 48*o + 18. Let g(p) = p**2 - 49*p + 22. What is 4*g(s) - 5*i(s)?\nAnswer: -s**2 + 44*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168 + (-4)\/(-8)*-4.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c - 3. Let s(x) = 28*x + 23. Let f(v) = 7*v + 6. Let a(z) = -9*f(z) + 2*s(z). Let k(j) = 4*a(j) - 11*g(j). Give k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/3))**16)**(-26))**(-2\/31) assuming t is positive.\nAnswer: t**(832\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + o + 64 - 54 = 0, h + 30 = 5*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 700 and 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25407017?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -28, -3\/17, 1 in decreasing order.\nAnswer: 16, 1, -3\/17, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4\/3 (b) -3\/2 (c) 0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 8, h: 8}. Give prob of picking 1 n and 1 s.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -26, 221, -3 in ascending order.\nAnswer: -26, -3, 33, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1368 is divided by 970?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 574546187704 - -0.2.\nAnswer: 574546187704.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 242411233, 242411232, 242411231, 242411230, 242411229, 242411228?\nAnswer: 242411227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2782 = 178*q + 161*q - 232*q for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 0. Let a be ((-108)\/30)\/(2\/(-5)). Suppose -k - 9 = 7*p - 5*p, k - 4*p - a = 0. Sort 8, g, k.\nAnswer: k, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + -6624?\nAnswer: -6612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9699624 divided by 331\nAnswer: 29304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 6 + -3 - 2*-1. Let g(t) = i - 61*t + 68*t - 3. Determine g(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:19 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 774, 1536, 2298, 3060, 3822, 4584?\n\"Answer: 762*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/46 and -65\/1812814?\nAnswer: 1812814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 82554 (b) 1\/7 (c) -3 (d) -76 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = -5*f + 35, -2*f = -2*r + 20. Let u(o) = -o**2 + 12*o + 21. Let i be u(r). Let h be 1*(2\/1 + 5). Which is bigger: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22645318?\nAnswer: 2, 149, 75991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 683998+5\nAnswer: 684003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 1:22 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 4884\nAnswer: 1465.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(4 - 1)*-1. Which is greater: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 184\/(-138) - (-1)\/3. Which is the third biggest value? (a) -173\/3 (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**2 - 30*q + 42. Give c(15).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.814 less than -275921818?\nAnswer: -275921832.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -440 - -627. Is 34 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10761372 is divided by 194?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(5 - 5 - 1). Is 5\/(-20)*(-11885 - (-1 - s)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*z + 710 = -3671 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/3 - 9226*z**3\/3 - 10644496*z**2\/3 - 10635272*z\/3.\nAnswer: -2*z*(z + 1)*(z + 2306)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159767.\nAnswer: 3, 7, 41, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + -1*sqrt(17)*-6 + -1 + sqrt(34)\/sqrt(2)).\nAnswer: -7*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 2988 + -2998 + 10 + -2 + (1 - 0).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(125) + -1*sqrt(125) + sqrt(125) - sqrt(125))**2 - (1*(sqrt(55) + sqrt(880)))\/sqrt(11)) + -2.\nAnswer: -5*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (10\/20 - 1922\/(-4)). Suppose -16 = -g + 5. What is the greatest common factor of u and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19\/27 - 1\/27. Let f(p) = -p**3 - p**2 + p + 1. Let u be f(-2). Suppose -h + 6 = -u*h. Which is the closest to -2? (a) h (b) r (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 142, 318, 564, 880, 1266, 1722?\nAnswer: 2248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -2*s**8\/189 + 46*s**7\/945 - 47*s**6\/540 + 2*s**5\/27 - s**4\/36 + 287*s**2. Let t(j) = 0. What is j?\nAnswer: 0, 3\/8, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 6 + 10)*(v - 4*v + v)*(1 - 1 - v**3) as r + w*v**4 + t*v**3 + c*v**2 + d*v and give w.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(56\/32 + -1). What is the second biggest value in -3\/7, -8, b?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxx when three letters picked without replacement from zxzxxz.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*n + 1. Let y(u) = 11*u**2 - 4*u + 4. Let f(r) = -14*r**2 + 3*r - 3. Let c(i) = 4*f(i) + 5*y(i). Calculate c(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 3. Let t be y(7). Let l(f) = -f**2 + 34*f - 205. Let o be l(26). Suppose t*r - 5 = o. Solve -4*k = -r*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -879 - 197 + 344*z + 49 - 43 - 1419*z - 5*z**2 = 0. Calculate z.\nAnswer: -214, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 + 212. Suppose 3*k + i = g - 50, -5*k - 142 = -g. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from uknknnnnnnnnnnu?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 11*t - 3. Let d(r) = 42*r - 21. Let w(m) = 21*m - 10. Let a(y) = -3*d(y) + 7*w(y). Calculate 4*a(o) - 9*b(o).\nAnswer: -15*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 17. What is the third derivative of 11 - 2*f**3 - c + 2*f**2 wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/720*-15 - 14\/8. Put -5, 8, s, 0, 1 in descending order.\nAnswer: 8, 1, 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z - 17 = 4*w - 49*z, -7 = 2*w - 3*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25226, 25233, 25240, 25247?\nAnswer: 25254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26154865?\nAnswer: 5, 11, 307, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0359221524 to 3 dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/(-5))\/24*(-15)\/(-1). Suppose -29 + 64 = t*z. What is the remainder when 46 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 12*l. Let n(s) = s**2 + 11*s. Let r(o) = 4*g(o) - 3*n(o). Let i be r(-15). Suppose h + i*h - 34 = 0. Does 24 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1559 - 1539. Solve 4*b - l = 0, -b + 5 = -3*j + 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369482, -738919, -1108360, -1477805, -1847254?\nAnswer: -2216707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 4*i + 2. Let r(p) = 4*p**2 - 14*p + 7. Let z(s) = -14*d(s) + 4*r(s). Let f(j) = -11*j + 9. Give z(f(n)).\nAnswer: 242*n**2 - 396*n + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6439956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 172186909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 85987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l - 1. Calculate b(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -212*w + 176*w + 1260. Solve 6*x + w = 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*r + 3, 3*s + r = -s + 5. Let p be s\/(-5) - (-1)\/5. Suppose p*k = -l - 2*k + 5, 3*k + 38 = 2*l. Solve 5*c + l = -12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*r - 26 = 0, 0 = -4*x - 4*r - 16 + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -32*o + 16. Let g(t) = 95*t - 51. What is 13*f(w) + 4*g(w)?\nAnswer: -36*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**3 + 6*w**2 - 6*w + 1. Let s(u) = -u**3 + u**2 - u. Give -j(t) + 6*s(t).\nAnswer: -t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-17)*o*o**(-5\/2)\/o)**(-28\/9) assuming o is positive.\nAnswer: o**(182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1561552765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 1694.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/1820 and 17\/26.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 47461 or 189843\/4?\nAnswer: 47461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*c**2 + 8028040*c - 3211220.\nAnswer: 5*(c + 321122)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*t + 0*t + 2*t)*(-7 + 1 + 3) + t - 2*t + 2*t - 2*t + 1 - 1 + (0*t + 4*t - 2*t)*(-1 - 1 + 0) - 2 - t + 2)*(-2 - 5 + 2) in the form u + g*t and give g.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 79 (b) -4 (c) 0.2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-2)*((-335)\/(-20) - 7). Suppose 8*q = 5*q + s. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -423*j**4 + 137*j wrt j.\nAnswer: -5076*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*a + 44*a - 2791621 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:46 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29737 divided by 29737?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 e when three letters picked without replacement from {k: 6, i: 1, w: 1, e: 5, q: 2, n: 2}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 39?\nAnswer: -7\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 5*t - 102 = 0. Let z(c) = 82*c - 1031. Let g be z(13). Which is smaller: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 488468136 and 2890344?\nAnswer: 488468136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4\/5 - 27792*b**3\/5 - 55644*b**2 = 0.\nAnswer: -10, 0, 9274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -2 + 1)**2 + (-2*sqrt(12))**2 + -1*((sqrt(126)\/sqrt(6))\/sqrt(7) + sqrt(3) + sqrt(3)).\nAnswer: -5*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 10 = 74. Let p be (-50)\/18 + l + -13. Which is the second smallest value? (a) -2 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, b: 1, n: 1, j: 2, a: 1, s: 1}. What is prob of sequence hbsj?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - -2)\/((-3)\/(-9)). Suppose -9*r = -6*r - m. Suppose r*q + 2*j - 48 = 56, -j = 4*q - 82. Solve 0*x + q = 5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5*s**4 - 25*s**3 + 30*s**2 + 20*s - 40 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -926083 + -71?\nAnswer: -926154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**1)\/(o**(-1)*o*o))\/((o*o**(6\/11)\/o)\/o*(o\/(o*o**(-7))*o)\/o*o))\/(o**(-9)*o\/(o\/(o*o**(-1)))*o*(o*o**(-3\/4)*o)\/o**8) assuming o is positive.\nAnswer: o**(273\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from huvks.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011415 to five dps.\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*o + 15, -2*s + s + 1 = 5*o. Calculate the remainder when 63 is divided by -4 - (s - -6 - 23).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24290\/21861 - (-388)\/(-9)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1937 divide 96789953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 346.0317 to the nearest integer.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 0*a**5 + 3\/2*a**2 + 0*a + 0*a**4 + 0*a**3 + 1\/2*a**6 + 1. Find the second derivative of c(n) wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1. Let p(u) = 7 - 2*u - 4*u + 2*u - u**2 - 2. Let y(m) = -4*d(m) - p(m). Give y(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-749)\/(-140)*(-2 - -5 - 2). Let w = 23\/4 - o. Let -2\/5*b**2 + 0 + w*b = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -67, -131, -195, -259, -323?\n\"Answer: -64*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 23*u + 15. Let d be v(11). Let o = d - 170. Suppose 4*z - o - 86 = 0. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -31*i**3 + i + 10*i**3 - 19*i**3 + i**2. Let s be m(-1). What is the greatest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 2.4935234?\nAnswer: 4.4935234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 157 + (1 - -5) + -1. What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(84) + 6*(sqrt(84) + sqrt(84)*-3)))\/(sqrt(768) - sqrt(768)*1*-1)*1 + 2.\nAnswer: -33*sqrt(7)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -252.573 - -252. Round p to 2 decimal places.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = j + 5*q + 10, 3*j + 30 = -4*q. Let w(b) = 4*b - 13968*b**2 - 14 - 13967*b**2 + 27937*b**2 - b**3. List the prime factors of w(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 4*a + x, 0 = -2*a + 5*x + 9 + 2. Let i(q) = -5 - 115*q**2 + 114*q**2 - 6*q + 1. Determine i(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((6 - 5) + -11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*y**3 + 7*y - 7*y + (3*y + 0*y - 4*y)*(-y**2 + 1 - 1) - 4*y**3 + 2*y**3 + 3*y**3 to the form u*y + c + s*y**2 + q*y**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58349 + 58349.0024967. Round z to 5 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -108*n - 4. Give w(1).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -3332535046\nAnswer: 3332535045.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 5:55 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7634994, -15269980, -22904966, -30539952?\n\"Answer: -7634986*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 1 - 5. Suppose -s*x + 0 = 2. Let i be x\/((-2)\/(-800*1325)). What is i rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 1 (c) -3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -17.456. Let c = -0.5 + u. Let r = 0.044166 + c. What is r rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 + 12*f**3)*(-1 + 2 + 0)*(2*f + 40 + 0*f - 39).\nAnswer: 24*f**4 + 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*t + 505 = 0, 2 + 1 = -t. Is (-6)\/(-2) - (v + -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/91))\/f**6)**(1\/55) assuming f is positive.\nAnswer: f**(-453\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -7*n + 4*n + 4*k, -5*n + 3*k + 534 = 0. Calculate the greatest common factor of n and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -273.3 * 0.01\nAnswer: -2.733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -7)*1 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1172 and 4.\nAnswer: 4688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 522.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3533*s + 3427. What is z(-1)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290.07 + 0.93. Let z = -1931 + 1932. Are s and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 87077\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -1\/2*k**2 - 1\/30*k**6 - 2\/3*k**3 + 2*k - 1\/2*k**4 - 1\/5*k**5 + 0. Let j(g) = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17192064 times 0.17?\nAnswer: 2922650.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.19 in -5, 6\/11, -3\/29963, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8398371601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002363 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73 and 105126643?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232077 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/1279 - -170179\/15348. What is the common denominator of r and -115\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 1631*o + 63.\nAnswer: 1631*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -184\/19?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/470020 and -29\/568.\nAnswer: 940040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 534 - 14?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/22 + 5\/44. Let b(z) = 21*z - 82. Let o be b(4). Suppose o*t - 3 = s + 3, 3*t - 3 = 3*s. What is the closest to -2\/9 in s, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6 = -6. Let k(y) = -4*y - 4. Let c(p) = -p - 1. Determine u*c(i) - 2*k(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9723374km in centimeters?\nAnswer: 97233.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 46 = 66. Let k(y) be the second derivative of 1\/4*y**d - 3\/2*y**2 - 5*y + 0 + 1\/3*y**3. Give k(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.02 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 2*n**2 + 5*n - 4*n)*(15*n - 44*n - 49*n).\nAnswer: -78*n**3 - 78*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 117243321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 25. Suppose 3*l - 2*f - 2 = -z, l - 3*f = 2. Suppose -2*r = -0*r + 4. Which is the nearest to l? (a) -3 (b) 5\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 1:12 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 3*s - 2*s + 6.\nAnswer: 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 4\/38011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mffga. What is prob of sequence mg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/10 + 1803*s**2\/10 - 1083603*s\/10 + 217081801\/10 = 0 for s.\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(((-5)\/(-18))\/(-5)). Let n(g) = -2*g**3 + 5*g**2 + 36*g - 93. Let z be n(3). Calculate the highest common divisor of z and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 191, -22, -3 in increasing order.\nAnswer: -22, -3, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-48 - (-45 - -20) - 6) + 0\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 2*z**2)*(1 + 1 - 4)*(3*z + 2*z - 3*z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25271 = -3*j + 2*f - 25264, 0 = -j + 4*f - 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*p**4 + 63*p - 658 with respect to p.\nAnswer: 16*p**3 + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1991 - 1991.0001383. What is z rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425653?\nAnswer: 425653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22901547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172993?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 156?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -1981516, -4, 2\/5, -0.1, -2\/5?\nAnswer: -1981516","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3926021\/35106*9*(-2)\/(-132)?\nAnswer: 61\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c - 16. Solve -c*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Suppose 0 = -7*f + q*f + 25. Solve 0 = 4*d - f*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*(p*p*p**(-1)*p)\/p)**(-15\/2))**(2\/89) assuming p is positive.\nAnswer: p**(-60\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 659\/2925 + -1\/325. Let h = -335149\/5 + 67237. Let w = 208 - h. Sort 0.1, w, z.\nAnswer: 0.1, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(2\/13))*n**(-4\/5)\/n*n*n*n**(3\/7)*n*n*n*n**1 assuming n is positive.\nAnswer: n**(2176\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/25 - 1*6\/(-330). Which is the closest to 0.2? (a) -25 (b) 2 (c) -0.3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(700))*-1*5)**2.\nAnswer: 1500*sqrt(7) + 17725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -4, -52 in decreasing order.\nAnswer: 5, -4, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**3 + 2*x**2 - 74*x - 1. Let g(z) = 6*z**3 - 2*z**2 + 184*z + 3. Let v(f) = -2*g(f) - 5*q(f). Give v(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10a2 - 72?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 8966 + 30491 = 0. What are the prime factors of k?\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/9*(-1)\/2*(-2418)\/(-6045).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3 - -1. Let i = 0.21709 + 1.78291. Which is the second biggest value? (a) u (b) i (c) 3\/2 (d) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-1190)*17*2\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(6\/19)*m*(m**(-2\/3)*m)\/m*(m\/(m\/(m\/(m\/((m*m\/(m*m*m*m*m*m**(-1\/12)*m))\/m)))))**12)**24 assuming m is positive.\nAnswer: m**(-26608\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -331, -2, -3 in increasing order.\nAnswer: -331, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9382.96 - -9383. Let j be 8\/(-6)*(-6)\/4. Which is the nearest to 2\/7? (a) -0.5 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 8*s - 2. Let u be g(-3). Suppose -i + u = -5*p, 0 = -4*i - i - p - 13. Is -2 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -36207.03\nAnswer: -36207.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 239807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004286 rounded to 7 dps?\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + p**4 - 6*p**4)*(985 + 387 - 2182 - 2012 - 643 - 3278).\nAnswer: 26972*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2608197, 5216392, 7824587, 10432782, 13040977, 15649172?\n\"Answer: 2608195*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u. Let z(i) = -4*i - 9. Let h(t) = -6*j(t) + z(t). Let y(a) = 2*a**2. Determine h(y(d)).\nAnswer: 4*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -0.2 (c) -3 (d) 1 (e) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 26*q - 156. Give r(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225686.\nAnswer: 2, 112843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-384)\/(-480) + 2\/(-3).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**48)**(-38)*(b**(-4))**(-2\/19) assuming b is positive.\nAnswer: b**(-34648\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*z = 0, -13*s + 8*s + 3*z - 2 = 0. What is the closest to -2\/9 in s, 5, 7\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.46 + -8.36. Which is the fourth smallest value? (a) 7 (b) 2 (c) h (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*i - 0*i. Let h = 5 - i. Suppose -k = -h*k + 33. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 h when four letters picked without replacement from {u: 7, p: 2, h: 5}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17776123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**6\/120 + g**5\/15 - g**4\/12 - g**3\/3 + 2*g**2. Let s be t(3). Let d(u) = -2 - 4*u**2 + s + u**3 + 5. Determine d(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 12. Suppose 0*w - o*w = -20. Find the third derivative of -x**2 - x + 4*x**4 + x + 0*x**w wrt x.\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q\/((q\/(q*q**(-5)*q*q))\/q*q)))\/(q**(-4\/23)*q)*q**20*q\/(q\/(q\/(q\/q**18)*q)))**(10\/7) assuming q is positive.\nAnswer: q**(9930\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (969 - 899)*((-2)\/8 + 0\/7).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 5*o - 3. Let s be x(-6). Let u be 6\/(-24)*4 - -110. Let p = u - s. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1. Suppose 0 = -21*i - 9*i + 30. Let k(n) = -9*n - 6. Calculate i*k(w) - 6*h(w).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 202 - 173. Suppose 0 = 27*c - 164 + a. Solve -13 = -3*g - n, -c*g + 18 + 4 = 2*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*w - 41 - 40*w**3 + 5 + 4*w**4 + 89*w**2 + 4*w - 57*w**2.\nAnswer: 4*(w - 9)*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1590080 and -0.9?\nAnswer: -1431072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, v: 2}. Give prob of picking 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2132 and 22673.\nAnswer: 1178996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19891*a**2*b - 2*a**2*d + 141*a*b*d - 214*b + 6691*d wrt d?\nAnswer: -2*a**2 + 141*a*b + 6691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 + v**2)*(0*v + 0*v - v) + 0*v**2 - v**3 + 0*v**2 - 118*v**3 - 70*v**3 - 10*v**3)*(-2 + 6 - 3) to k*v**2 + h*v + l*v**3 + z and give l.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10538\/905 + 8\/181. Let h = 56\/5 + g. Let b be (-10)\/80*(1 + -3). What is the nearest to h in 4, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23504164 (base 7) in base 8?\nAnswer: 7751237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, 85, 2, 0 in increasing order.\nAnswer: -16, -3, 0, 2, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.07, -15\/244 in increasing order.\nAnswer: -15\/244, 0.07, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3979084, 7958174, 11937260, 15916342, 19895420?\nAnswer: 23874494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5584 = -3*t + v, -246*t + v = -245*t - 1860. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 3 + 0*w - 1)*(-5 + 7 - 10).\nAnswer: 48*w - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 478*h**3 + 4379*h**3 + 260*h**3 + (-6 + 0 + 4)*(-5*h**3 + 3*h**3 + 3*h**3).\nAnswer: 5115*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1999, -1811, -1513, -1105, -587, 41, 779?\nAnswer: 1627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 1 + 1 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42883 - 5.\nAnswer: -42888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100150.\nAnswer: 2, 5, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -19*i**5\/5 + i**4\/4 + i**3\/2 + 4640*i**2 + 2899*i. Differentiate o(b) with respect to b.\nAnswer: -228*b**2 + 6*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11856 and 21489.\nAnswer: 343824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 + -11101001?\nAnswer: -11102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -3 (c) -2\/7 (d) 819\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**2 - 8 + 0*x + 27 + 30*x**2 + 2*x. Is f(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45025, -45035, -45057, -45097, -45161, -45255, -45385?\nAnswer: -45557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3768*r - 129 + 45345 = 0 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*w + 3*w**2 + 102*w + 4*w**2.\nAnswer: 7*w**2 + 155*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r + 4*d + 84 = 0, -3*d = -6. Suppose p = 5*p - r. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**3\/3 + 1217*f**2\/2 + 1332*f. Let l(w) = -2*w. Calculate y(l(v)).\nAnswer: 4*v + 1217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**2 - 18*j**2 + 35*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 99 - 315 - 2*i + 0*i + 216. Let d(m) = -2499*m**2. Determine d(o(b)).\nAnswer: -9996*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 + 837 = -7*a - 59*a - 202 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710475 is divided by 230.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 6 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.93 + 20.63. Let m = 13 - x. Let u = m + 5. Which is the nearest to -1\/3? (a) u (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -129*(-1)\/(-2)*1064\/(-798). What is the highest common divisor of 43 and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 15660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - 158 - -31 - -38 - 29.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(255\/(-12))\/(-5). Suppose -x = 2*s - 7, -3*x - 4*s + 14 + o = 0. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(7) + 0)**2 - (sqrt(7) - sqrt(63))*-1 - (sqrt(42)\/(sqrt(6)*-1*2))**2.\nAnswer: -2*sqrt(7) + 9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2\/3, 268, 1\/2, -1, -3\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - k**3 - 8*k**3)*(-3*k**2 - k**2 + 5*k**2 + (-5*k + 2*k + k)*(-k - 3*k + 3*k) + 2*k**2 - 2*k**2 - 2*k**2 + 4 - 3*k**2 - 4).\nAnswer: 16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -753 divided by 1?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g + 3200000 = 0. Round g to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 at most as big as -25467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h + 10. Let w(g) = 10*g + 7. What is the remainder when w(4) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454942 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11005 - 5781. What are the prime factors of g?\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/3*(-27)\/(-2). Let q(s) = -s**3 + 15*s**2 + 4*s - 41. Let d be q(15). Let p = x + d. Which is the nearest to 2? (a) p (b) -2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, f: 3, e: 2, u: 5, y: 3}. What is prob of sequence uug?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7762784.\nAnswer: 2, 367, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (65 - (-30525)\/(-385))\/(-2*(-1)\/(-7))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -104888960 != -104888960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 2\/11 (c) -3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.82895 hours in milliseconds?\nAnswer: 125384220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 16\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 8:55 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -450 + 262. Let n = 187.9999468 + v. Round n to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 2:51 PM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*6*14\/(-140)*(-2)\/(-6)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -6. Solve -2*k - 12 = -3*l, 0 = -0*l - 3*l + v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 + 30\/3 + 1 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 354899 (base 13) to base 11\nAnswer: 795973","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 8:47 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 11*o**2 + o + 1. Let r be j(-11). Let k = r - -17. Solve -3*m - k = 2*a, 0*a + 16 = 4*a - 4*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41897757 and 937310?\nAnswer: 418977570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 121*u**2 - 2*u + 1. Let x be a(1). Let h = 5 - -11. What is the remainder when (2\/(-4))\/((-2)\/x) is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 6, 5, 3 in ascending order.\nAnswer: 1, 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -453.3454244 take away 0.4?\nAnswer: -453.7454244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-42) + 26\/3. Suppose -7*o = -11*o + h. Solve -3*m = o*z + m - 20, -3*m = z - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 3*w + 3. Let z be k(2). Solve 2 - 16 = -4*s + q, s = z*q - 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 3*d**2 + 3. Let i = -34 - -37. Determine z(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r**4 + 103*r**3 + 63*r**2 = 0. What is r?\nAnswer: -9\/16, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 22 = -p, 2*p - 103 = -3*p + 3*w. Suppose 4*s + 28 = -3*j - j, 5*s = -p. Is -1 + 15\/5 - j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57864063 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 5844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5853974417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((4*(sqrt(363) + -1)*3)**2 - (sqrt(363) + sqrt(363)*1)*3*-3) + 4).\nAnswer: -2970*sqrt(3) + 52420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 9768 greater than or equal to 68366\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 72 + -110. Which is the nearest to g? (a) 1\/5 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 2. Let i(f) = f + 4. Let n(t) = 3*i(t) - 7*v(t). Let j(a) = a. Let y(h) = h**3 - h**2 - 4*h + 3. Let d be y(2). Determine d*n(x) - 3*j(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in -58, 0.4, -1\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w + 33. Let t(y) = -964*y**2 + 1951*y**2 - 1003*y**2. Give c(t(d)).\nAnswer: -32*d**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 288 - 282. Does 13 divide 1402*(-2)\/(-8) - 3\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*z**4 - 11*j**3*z**2 + 5*j**3 - 100*j**2 - 210649*z**6 wrt z?\nAnswer: 48*j**3*z - 25277880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*x + 1)*(-5*x + x + 3*x) - 5745*x**2 + 11383*x**2 - 5744*x**2 + x**2 + 1 - 1.\nAnswer: -107*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -10. Let a be ((-437)\/92)\/((-1)\/28). Suppose 3 = -13*y + a. Solve y - 1 = -z*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o*o*o**(4\/5)*o)**(2\/27)\/((o\/(o*o\/o**(-2))*o)**(-17))**(1\/81) assuming o is positive.\nAnswer: o**(-44\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 2, -1309, -5 in descending order.\nAnswer: 2, -5, -39, -1309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/(l**32\/l*l*l)))\/l)\/l)**(3\/10)\/(l**40*l**32) assuming l is positive.\nAnswer: l**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1432733 (base 8) to base 10\nAnswer: -407003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 4)*5\/(-10). Differentiate 6 - 6*i - j + 4*i + i with respect to i.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 7.29820848348?\nAnswer: 12.29820848348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m + 3*m)*(-2*m + 0*m + 4*m)*(3 - 7 - 12)*(-4 + 3 + 0).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c**2 + 8*c - 8*c)*(-3*c**3 - 24*c**3 - 4*c**3)*(9 + 4 - 3).\nAnswer: -6200*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 11:09 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1487 (base 11) to base 13.\nAnswer: b3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -4, -15\/8, -0.3?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i + 708 = 636 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n**5\/2 + 4733*n**4\/2 - 26105*n**3 - 61672*n**2 = 0. Calculate n.\nAnswer: -4744, -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 41.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2227, 4, 2 in ascending order.\nAnswer: -2227, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*-6 + sqrt(147) + 1 - (5 + (sqrt(30)\/sqrt(10))**2 + -1).\nAnswer: -6 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -3) + 18 + -94 + 78 - (6 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 = -3*u - 2*y - 108 + 153, 63*u - 4*y = 4398 for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - ((-94)\/5 + 17\/(-85)). Solve -12*y - 2 + v = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**3 - 21*c**2 + 46*c - 21 = 0.\nAnswer: -7, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1227211 is divided by 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4980444?\nAnswer: 2, 3, 7, 211, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1 + (1 + 4 - 2)*(-1 + 0 - 1) + 3 - 1 - 3)*(-4*r + 4*r - 5*r)*(-15*r + 18*r - 90*r) as j + u*r + q*r**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -26. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1477 - 1430. Is 56 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*b**6 - 115*b**4 + b**3 - 10203*b**2 + 1 wrt b.\nAnswer: 10560*b**3 - 2760*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*p**3 + 342*p**4 + 269*p + 12*p - 3*p**3 + 3*p**3 wrt p?\nAnswer: 4104*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 43*z - 416. Let i be f(-15). Solve -2 = 3*d - i*d, 2*k + 2*d = 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 8*l**2 + 8*l + 9. Suppose 16 = -5*x - 19. Let q be y(x). Suppose 0 = -11*o - 64 + 75. Calculate the highest common divisor of q and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*z**5 - 6*z**5 + 8*z**5 + (z**4 + z**4 - 3*z**4)*(0*z + 0*z - z).\nAnswer: 30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/21*(-9)\/2 + -1. Suppose q - 2*b + 4 = -3*b, -t*q = -2*b + 13. What is the closest to -7 in 7, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -6?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/23)\/h)\/h**13 assuming h is positive.\nAnswer: h**(-321\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**3 + 3594850*x**2 + 468537*x - 15 wrt x.\nAnswer: -12*x + 7189700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -6*o + 53. Let i be (10\/14)\/((-2)\/o). Suppose 145 = i*d - 4*d. List the prime factors of d.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 20*n**3\/3 + 25*n - 26. Suppose 4*s + 12 = 0, 6 = -2*a - a + 4*s. Let y(p) = -5*p**2 - 6. Calculate a*i(u) - 25*y(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*k. Suppose 5*y + 15 = k, 3*y - 3 = -h - 5. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33224198 and 52209454?\nAnswer: 365466178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7041 (base 13) to base 4\nAnswer: 3301020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115 + 459\/4. What is the closest to 0.1 in t, -5\/6, 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 11, j: 5, i: 1, z: 2}. What is prob of picking 2 j and 1 p?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, 5, 1, 9.\nAnswer: 1, 5, 9, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 142.\nAnswer: 56.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clc. What is prob of sequence clc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2757 + -1692. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2388, -2430, -2508, -2622?\n\"Answer: -18*z**2 + 12*z - 2382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001011111 - -1101?\nAnswer: -100001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 167737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -448670 rounded to the nearest 10000?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -255*n**4\/2 - 26*n**3 + 2*n**2 + 699. What is the third derivative of k(m) wrt m?\nAnswer: -3060","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/7*o - 6\/7*o**2 + 2\/7*o**4 + 4\/7*o**3 - 8\/7 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 7 = -4*t, -35 = -5*t - m - 0*m. Let g be 22\/t - (-7)\/28. Let b = -1 + g. Calculate the remainder when 3 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4869 = -4*l - 5*t + 4842, l = -t - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 28*q**2 + 12*q - 1 - 5 + 1 - 3 - 20*q**4 - 12*q**3 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:45 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 + 0.1. Let o = -7.64 - -14.44. Is o <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 15*b - 38. Give g(-18).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-3)\/2*100\/75. Sort -19, -5, o.\nAnswer: -19, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, f: 2, s: 7}. What is prob of picking 1 o and 1 f?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1031 - 672. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**3 + 9*z**2 + 2*z + 6. Let r(o) = 8*o**3 - 17*o**2 - 4*o - 11. Determine -11*p(a) - 6*r(a).\nAnswer: -4*a**3 + 3*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*k + 8 = -4*a - 143*k, 2*k + 8 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 243, 568, 879, 1170, 1435, 1668?\n\"Answer: -o**3 - o**2 + 335*o - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 43\/4 of a gram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4*w - 78, -3*p - 1 - 1 = -w. Let q be (38\/8)\/(w\/2). Let t = q + -1\/17. Is -0.06 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.675974 minutes in milliseconds?\nAnswer: 400558.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196223.\nAnswer: 317, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 462a?\nAnswer: -462c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 394 + -397. Let p = 1 - 0.5. Which is the fourth smallest value? (a) u (b) 1\/10 (c) 0.3 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67198, -66329, -64884, -62863?\nAnswer: -60266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -220\/13, 1\/6, -15, -32, 3\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10140 (base 7) in base 14?\nAnswer: c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r - 3. Suppose -8 = -n + 5*n. Let q be (n\/(-4))\/(10\/120). Let y(l) = 9*l - 6. Suppose -h = -0*w - 2*w + 5, 5*w + 33 = -h. Give h*d(k) + q*y(k).\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.8 in 0.2, -1, 1\/3, -0.03, 23?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 799 and 1199534.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 669, -0.7, 18, -3 in decreasing order.\nAnswer: 669, 18, -2\/13, -0.7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*q - 330*q = 7*u - 17, u + 10 = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-24))\/((9 - 6) + (-584)\/192).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 3, w: 3}. Give prob of sequence cw.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 12) to base 14\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-408)\/(-32) - (-2)\/(-8) - 10\/20.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4, -2\/7, 1, -30?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 47*x - 502. Let r be j(30). Solve -h - 3 = -r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 43511 and 43511 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25891 = -5*a - 4*z, -8*a + 36254 = -a - z. What is the thousands digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53979625?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46588 is divided by 669.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.931185 days?\nAnswer: 771654384000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 10:17 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 15*t - 34. Let j be f(-3). Let a(o) = o**2 - 8*o - 1. Let g be a(j). Let q(u) = -6*u - 1. Let i(d) = 12*d + 2. Calculate g*q(y) - 6*i(y).\nAnswer: 6*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y + 0*y - 10*y + 3*y**2 + 0*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -187 (base 9) to base 11\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -104382728, -208765458, -313148188, -417530918, -521913648, -626296378?\n\"Answer: -104382730*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/4 - 39*k**4\/2 + 38*k**3 + k**2\/2 - 153*k\/4 + 19.\nAnswer: (k - 76)*(k - 1)**3*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 753, 1886, 3701, 6330, 9905?\nAnswer: 14558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31 + -433041?\nAnswer: -433122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 719431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/29))**(-2\/9)\/(c*c**(-2\/51)*(c**15*c)\/c*c) assuming c is positive.\nAnswer: c**(-75221\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(270)\/(((sqrt(110) - sqrt(110)*2) + sqrt(110) + sqrt(110))\/sqrt(11)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 2030\nAnswer: -18\/1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 + 0 + -1. Let t(a) = 3*a + 7 - 13 - 8 + 16. Let j be t(n). Let h(m) = -m**2 + 1. Determine h(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -147*q**2 - 2. Let t(x) = -4*x**2 + 74. Calculate t(j(s)).\nAnswer: -86436*s**4 - 2352*s**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 482230861?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5\/3 - 108800*q**4\/3 - 739295728*q**3\/3 + 2467693016*q**2 - 1728215940*q - 4442304600 = 0. Calculate q.\nAnswer: -13605, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 41 - ((-35)\/(-21) + (-4)\/6). Let m(q) = 24 - b*q + 76*q - 35*q. Calculate the remainder when m(-19) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 7*o**2 - 6*o - 4. Let d be h(8). Suppose -2*s - 3*s - z = 17, d = 4*z. Is -5 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/185 (b) -3\/2117 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 388186079 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: Let j be ((-3)\/5 - 0) + (-882)\/(-70). Let z(w) = -w + 0*w - j + 8. Suppose 5*f - 12 = 8*f. Determine z(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -161*3\/(-140) + (-175)\/50.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + -1. Let x = f + 68. What are the prime factors of x?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0046916162 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 138829315 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lue when three letters picked without replacement from upeploc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5145789\/7 equal to 735113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 157896 and 473687\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15458\/285 + -260\/57. Let i = 59 + t. Determine s, given that 3\/5*s - i*s**3 - 2\/5 + 0*s**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 29.5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*h = 1, 3*h + 2*h = -3*m - 3. Let j be ((-14)\/21)\/(m\/(-6)). Let u(y) = y**2 - 6*y + 5. Let v be u(6). Solve -4*p = -j + v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*z = 4786 + 13464 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**3\/3 - 11*b**2\/2 + 26. Is 7 a factor of n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2\/7, 2.5, -0.2, -70 in descending order.\nAnswer: 2.5, 0.3, 2\/7, -0.2, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 415604 - -1.4\nAnswer: 415605.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 134621961 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -58913980 to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 65*l - 14. Let n be b(6). Let h = n - 104. Suppose -4*g = -8*g + h. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(468) - sqrt(468)*-2)**2 + sqrt(468))*-3 - ((sqrt(1053) - (-1 + sqrt(1053)))*-2)**2).\nAnswer: -12639 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 32 + 4*y + (11 - 41 - 8)*(-4*y - 4*y + 7*y))*(3*y + 15 - 15) to h + k*y + o*y**2 and give o.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 2*a**2 + 2*a. Suppose 5*d = 10*d + 15. Let z(q) = -2*q**3 - 3*q**2 + 3*q. What is d*r(j) + 2*z(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333775 is divided by 30295?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 542268240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1492472946 and 4?\nAnswer: 1492472950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15803572?\nAnswer: 2, 3950893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27641*c**4 - 140446 wrt c.\nAnswer: -110564*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {w: 6, j: 3, n: 4, i: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*p + 3)*(-12*p + 4*p - 7*p) + p - p + 2*p**2.\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 4*l - 3. Let q(z) = z**3 - 3*z**2 + z - 1. Let g be q(3). What is y(g)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955570 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**3 + 2*t**2 - 11*t - 17. Let j(s) = -s**3 - s - 2. Let r(h) = b(h) - 4*j(h). What is the smallest common multiple of 24 and r(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 2\/((-6)\/9). Suppose r + 4 - x = -s, -3*s - 10 = 4*r. Suppose 3*f = 2*f - 4, s*f - 251 = -j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.09, 1, -4 in ascending order.\nAnswer: -4, -0.5, 0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 710 and (96\/(-46) - (3 + (-71)\/23)) + 7.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -10. Let m(z) = z**3 + 9*z**2 + 7*z - 7. Let r be m(u). List the prime factors of -48*((-3)\/4)\/r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 92. Let d(i) = i**2 - 18*i + 25. Let t be d(14). Let h = t + y. Calculate the lowest common multiple of h and 46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 7 = 3*s, 4*p + 2 = -s + 21 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 2*v)*(-v**2 - v**2 - 2*v**2) + (-4 + 6 + 0)*(v**3 + v**3 + 0*v**3) + v**2 + v**3 - v**2.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 986695746*g**3*m - 29102542*g**2*m wrt g.\nAnswer: 5920174476*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**3 - w. Let m be z(1). Let d be 40\/16 + (-2)\/m. What is the units digit of 42\/8 + d\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*p**4 + 3*p**4 - 5*p**4)*(1 - 1 - 1) + (-5*p**3 + 3*p**3 + 4*p**3)*(2*p + 0*p + 2*p) to x*p**4 + s*p**3 + j*p + o*p**2 + n and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*x**3 - 10*x + 77*x**3 + 13*x in the form o + a*x**2 + u*x**3 + c*x and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*x**3 - 5*x**3 + 169*x**3 + (-x**2 - 2*x**2 + 5*x**2)*(0*x + 0*x - x) in the form h*x**3 + n + z*x**2 + c*x and give h.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 4. Let n(v) = 269*v - 6. Determine 2*m(x) + n(x).\nAnswer: 271*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5579.8 + 5579.6. Let s = 0 + 0. Which is the nearest to -5? (a) 0.2 (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a hour in minutes?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieiiie. What is prob of sequence ei?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-5))\/(3\/15). Let y be (-2)\/9 + 174\/54. Suppose -a*z - y*k + 35 = -2*k, -5*z = 3*k - 57. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1226701?\nAnswer: 7, 31, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j - 162. Suppose -l + 3*l = j. Suppose 2*i - 4 = 0, 77*i = 4*f + 78*i - 58. What is the remainder when l is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181704*u = -184636*u + 49844 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/161 - -313\/483. Sort -1\/4, -4\/7, h, 0.3 in increasing order.\nAnswer: -4\/7, -1\/4, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.183*0.4.\nAnswer: 0.0732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145 + 144. Sort v, 2, 6 in descending order.\nAnswer: 6, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 522800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6804591 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 8*k**2 + 7*k + 4. Let h be m(-6). Suppose -5*n = 3*s - 166, n + 0*s = -s + h. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/5)\/((u\/(u*(u*(u*u\/(u\/(u**(-1\/3)*u)))\/u)\/u*u))\/u)*(u*u\/(u**(-2\/3)*u))**18 assuming u is positive.\nAnswer: u**(487\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.256 * 2.7502.\nAnswer: -0.7040512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9217943 and 961534?\nAnswer: 2779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 3\/8 (c) 5\/3 (d) 17 (e) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - n - 3*n = -2, 4*o - 11 = 3*n. Let k be (-2 + o)*(2 + 4\/(-3)). Let q be (53\/18 + -3)\/(k\/(-16)). Sort q, 0.2, 1\/8 in descending order.\nAnswer: q, 0.2, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kddmbdmdbmdkdmdkxx. Give prob of sequence dxbb.\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 8:22 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-1*8 - -2). Let x = c + 3. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 3. Which is the third smallest value? (a) -5 (b) -0.08 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/9))**44\/((d*d**(2\/7))\/d**(2\/9)))**(-14\/9))**(-2) assuming d is positive.\nAnswer: d**(244\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24736 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 72, 137, 206, 285, 380, 497?\n\"Answer: b**3 - 4*b**2 + 70*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/140 + (3 - 115\/35 - -19). Solve -m*n = -29 - 85 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b**3 - 26*b**2 + 7*b + 14. Let s be y(-7). Let a = -168 + s. Calculate the highest common factor of a and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 379 + -375. Suppose -3*s + 0*s + 3 = 0. Suppose -19 = -3*v - i*d, 20 = -v + 5*d + s. What is the third biggest value in v, 2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -8. Let s be y*4\/(-8)*3. Which is the nearest to -0.1? (a) 0.4 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 851\nAnswer: -3\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6480 + -3?\nAnswer: -6483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*d = -95, -8*d = -5*o - 11*d + 51 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a millimeter in micrometers?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-4)*8\/24*-20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 10, 0.3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 112, 247, 382, 517, 652?\n\"Answer: 135*r - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 6:10 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 13 = 4*r - 3*n, 2*r + n = 7. Let o be (5 - 1) + r - 3. Suppose -p - p - 4*b - 22 = 0, -2*p = 5*b + 26. Sort o, 11, p.\nAnswer: p, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-2\/73)\/x)\/x*x*x)\/x*x)**20*(x*x**25)\/(x*x*x**(-2\/89)*x) assuming x is positive.\nAnswer: x**(275957\/6497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -30, 81, 340, 795, 1494?\nAnswer: 2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.3, 17, 1\/5 in decreasing order.\nAnswer: 17, 1\/5, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 14 = u. Let h be ((-52)\/u)\/(2\/(-955)). Suppose 2*g - 204 = h. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 211, -5, 5, 0, 1, -1 in decreasing order.\nAnswer: 211, 5, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8124602 milligrams in nanograms?\nAnswer: 812460.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 1:39 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11564 - -16881. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 16 + 19. Calculate the remainder when h is divided by 1\/2*9*12\/18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11896 - -4?\nAnswer: 11900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -43.4 * 1.42\nAnswer: -61.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 2*i**3 + i**3 - i + i to k*i**3 + h*i**2 + j + b*i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -24*w**2 - 14*w - 26. Let k(f) = -13*f**2 - 7*f - 13. Let o(h) = 11*k(h) - 6*u(h). Let d = 10 + -6. What is the remainder when o(-6) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 9*p + 12. Let o be z(-8). Suppose -4*l - 48 = o. Let r = 18 + l. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqt when three letters picked without replacement from qdtfdfttdttfdtfd?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 1. Let t = -5 - -2. Let i be 5\/60*-3 + 33\/4. Let f be (t + 0)\/((-6)\/i). Determine j(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*l**5 + l**5 + 9*l**2 + 0*l**5 wrt l?\nAnswer: 1440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4*t + 5 - 5)*(6*t**2 - t**2 - t**2) to the form g*t + s*t**2 + x + w*t**3 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i + 11*i**3 + 20*i**3 - 42*i**3 as l*i**2 + j + a*i**3 + p*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 69 - 54. Let h be (-4)\/(-58)*r\/(-82). Is 0 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 4*k + 10*i, -i + 4*i + 64 + 20 = -4*k + 51 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 1006215 = -1005975 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1959, 2078, 2265, 2520, 2843?\n\"Answer: 34*r**2 + 17*r + 1908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -323\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*t = -2, 3*s + 2*t = 5 + 1. Suppose -v + 4 = y, 4*v + s*y = 5*y + 9. Suppose -5*l = b - 13, -v*l + 0*b = -2*b. Solve -4*r - l = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 9*s + 6. Let w be u(8). Let g(d) = d**2 - d. Let k(i) = i**3 + 9*i**2 - 6*i. Let q(f) = w*k(f) + 14*g(f). Factor q(y).\nAnswer: -2*y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 - a**4 + 9*a**2 - 31*a + 16*a - 11 + 15*a to the form s + h*a**2 + l*a**4 + r*a**3 + w*a and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*w - 68 = -121*w + 270*w. What is the closest to 1 in -5, w, 9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38\/3 + 13. Let u = 78 + 389. Let o = u - 462. Which is the third smallest value? (a) n (b) 0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 377 and 25607?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**5\/4 - s**4\/12 - 5*s**3\/6 - s**2\/2 - 3*s. Let g(p) = 4*p**3 + 5*p. Let c(x) = 6*g(x) + 5*h(x). Calculate c(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 11 = -7. What is the second biggest value in x, -3\/4, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 6. Let h be -2 + (-1)\/(1\/(-4)). Let c(l) = -l - h - 3 + s + 2. What is c(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/27)\/((-2)\/234). Suppose u + p - 47 = -3*n, -4 = -u - n. Solve f - 5*i - u = 1, 3*f - 9 = 5*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-785)\/(-2) + -3 + 1. Let j = 383 - s. Do j and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -650995, -651037, -651079, -651121, -651163?\nAnswer: -651205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-2) + 130\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -672647855*u - 792234908.\nAnswer: -672647855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4462399 to the nearest integer?\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -6*g**2 + 5*g. Let c(i) = -i**2. Let t(z) = b(z) - 5*c(z). Let y be (1320\/176)\/((-2)\/(-3)*(-30)\/(-16)). Give t(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Suppose 4*f = -r + 4*r + 12, 5*f = x*r + 12. Let w = r + 4. Solve w = -0*j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b5 - 1b?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**2*u - 2428596*l**2 - 7645321*u wrt u.\nAnswer: l**2 - 7645321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 10*i**3\/3 - 14*i. Let z(x) = 38*x + 20*x - 55*x. Calculate z(r(o)).\nAnswer: 60*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-5)\/(10\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523 > 2524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 768?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -471\/5 + 1879\/20. Let a = 0.3 - 0.5. Suppose 18*t + 36 = 22*t. Sort t, -0.1, a, g in decreasing order.\nAnswer: t, -0.1, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -472*k + 199*k - 4*k**2 + 105*k**4 + 271*k + (-5*k**2 + 4*k**2 - k**2)*(-3 + 3 + k**2).\nAnswer: 103*k**4 - 4*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40858 divided by -31.\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319643 equal to 1319643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 1 - (10 + 10 + -11)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.77 - -1.82. Which is the nearest to o? (a) 3 (b) 0.1 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + 2*r**3 - 2 - 5*r**3 + 2 - r. Let h be k(-1). Suppose -5*m - 2 = -2*s + h, -m = -3*s + 19. Is s less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 14 = 4*k + h, 2*k - 2 = -2*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 25, -4*p = -12*h + 9*h - 5. Solve 0 = h*u + 1235 - 1210 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 4*h + 15, h - 5*h - 6 = -2*g. Find the second derivative of -2*y - 4*y - g*y**2 + 2*y + 7*y**2 wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 10*i + 110 = 5*g, -2*g + 98 = 5*i. Solve -3*m + i = 5*h, -h + 3 + 4 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116321 (base 7) in base 15?\nAnswer: 6538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 + (-116)\/(-14). Let j = k - 2. Is ((-105)\/j - 2)*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-2\/3))\/n*n**(-1\/3))\/(n**(-2\/5)*n)**(-1\/27))**(1\/3))**(-16) assuming n is positive.\nAnswer: n**(704\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = j - 6, -4*r + 5*r - 3 = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10438 and 57409?\nAnswer: 114818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -5, 1346, 0.\nAnswer: -14, -5, -3, 0, 1346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (49\/(-5))\/(-7)*1215\/1134\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1084)\/216 + 5)\/((-7)\/21).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/((-4)\/222). Suppose 0 = 5*o + 5, -l = -8*f + 5*f + o. Solve -f*r + r - 55 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-2))\/((-1)\/11). Let i = -1604 + 1638. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -372*l**3 - 4*l + 4*l.\nAnswer: -372*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -784300 * -5\nAnswer: 3921500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 1788 = 1680 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321 - 214 + 70 = 155*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14164*0.0672\nAnswer: 951.8208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 24. Let u be m(12). Let y(b) be the first derivative of 0*b + u*b**2 - 4\/3*b**3 + 3. Let p(l) = 2*l. Determine p(y(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/30 and -26\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -301 + 299. Let z be (2*2)\/(-2) + -2. Sort b, 1\/3, z in decreasing order.\nAnswer: 1\/3, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33104?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30722.249 rounded to the nearest ten?\nAnswer: -30720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w + 4. Let v(t) = -6*t. Let q(h) = -h. Let a(i) = -11*q(i) + 2*v(i). Suppose 39*r + 16 = 35*r. Let x be -8*(r - 25\/(-5)). Calculate x*a(l) - z(l).\nAnswer: -2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43100 + -3134032?\nAnswer: -3232132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhb when three letters picked without replacement from {b: 2, r: 2, c: 2, h: 8}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/((-11)\/11121*2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 6*j**2 - 6*j + 7. Let z be f(-5). Let i be (-2)\/(-12) + 22\/z. What is the highest common divisor of i and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, j: 1, f: 4}. Give prob of picking 1 j and 1 f.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, 6\/11, 3, 0.4, 2462.\nAnswer: 0.2, 0.4, 6\/11, 3, 4, 2462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2 - 124005*h + 124002 = 0. What is h?\nAnswer: 1, 41334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 31*p - 29 = r, 0 = 2*p - 2*r - 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*z + 88. Let h(s) = 1 - z*s - 7*s**2 + 2*s**2 + 22*s + s**3. Calculate h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42 - 2)*(3 - (-4 - -8)). Calculate the greatest common factor of 66 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013417?\nAnswer: 103, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-6)\/(-2))\/(-1). Let r be (-1 + 0 - -1)*z. Suppose 3*m = -0*m + 5*f + 115, r = m + 5*f - 25. Solve 4 = -2*k + 4*b + 18, -m = 5*k + 4*b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vov when three letters picked without replacement from {v: 3, g: 4, l: 1, y: 6, c: 1, o: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*1 - sqrt(84))*-1)\/sqrt(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -12*b. Let t(o) = -4*o. Let l = -12 - -17. Let j(d) = l*y(d) - 16*t(d). Let p(f) be the first derivative of f**2 + 43. What is p(j(q))?\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 6*p**2 - 3*p + 2. Let v be t(-6). Suppose 90 = n - 7*n. Let w = v + n. Is w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 39. Let j be (222\/k)\/(17\/(-5)). Let t = -651\/34 - j. What is the common denominator of -64\/9 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11435163 rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/8577 and -67\/2?\nAnswer: 17154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3*d + 2 + (-2*d - 2 + 2)*(2 - 2 + 2))*(-320*d - 323*d + 13*d**3 + 641*d) to the form z*d**3 + n*d**2 + c + t*d + y*d**4 and give y.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18370 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + r)*(-22 + 54 - 26 - r).\nAnswer: -r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2192130.\nAnswer: 2, 3, 5, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/(-26))\/((-2238)\/(-4849)))\/70?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/35 - ((-874)\/14 - 0). What is the greatest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 3 - (-261650)\/(-25)*14\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250531?\nAnswer: 29, 53, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**3 + 5*h**2 - h. Let r be x(4). Let s = r + -33. Let d(u) = -4*u + 1. Give d(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -6*y**2. Suppose -4*d + 3*d - 8 = -5*l, -5*d + 3*l = -4. Let r(t) = -9*t**2 + 30*t**d - 5*t**2 - 8*t**2. What is r(s(a))?\nAnswer: 288*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:31 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -7*u - 172. Let x = u + -41. Factor -7\/4*i**x - 1\/2 + 9\/4*i.\nAnswer: -(i - 1)*(7*i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 11. Let t be m(6). Suppose -2*g + 4*c - 3*c + t = 0, -4*g + 3*c = -11. Calculate the greatest common factor of g and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2088*s**3 - 1845*s**2?\nAnswer: -12528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*f + 5177*f - 580*f.\nAnswer: 5239*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*c - 151 = 0, -36*p + 34*p = -2*c - 80. Let i be 6 + 0 + 0 + -1. Solve -5 = -7*l + 2*l + 2*f, 0 = -2*l - i*f + p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, r: 6}. Give prob of sequence rwrw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0802 + 6.9198. What is the second biggest value in -0.4, 3\/2, -2, t?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.8, 0.5, -0.11, 3\/8, -9?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkwkkkkkwwkw. Give prob of picking 2 k and 2 w.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + 2 - (-49 - 6 - -117).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 12*y - 2*y**3 + 0 - 6*y**2 + 5\/6*y**4. Let n(k) = -k**2 + k + 1. Give -i(u) - 12*n(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645*c**3 - 541*c**3 - 1477*c**3 - 743*c**3.\nAnswer: -2116*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-125)*-3*-20?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200, 400, 600?\nAnswer: 800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -50?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - b + 20 = 0, 3*a + 4 = a + 2*b. Solve a*q = 5*g + 27, 4*g + 7 = -5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17354137*f**2*i - 2*f*i + 171*f - 3*i + 160 wrt f?\nAnswer: -34708274*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -7*w**2 - 3*w + 4. Let s(f) = -6*f**2 - 3*f + 3. Calculate -6*s(c) + 5*u(c).\nAnswer: c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y + 18*y - 4*n = 62, 2*y = -2*n - 64 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcdg when four letters picked without replacement from ccddggdd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102 * -4.3667.\nAnswer: -445.4034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 391729 (base 12) to base 2.\nAnswer: 11100100011111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 6:01 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 347*h - 2079. Let a be c(6). Put -3, 1, a, -5, 14 in increasing order.\nAnswer: -5, -3, 1, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410 is divided by 52?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 45*p - 12*p - 9*p - 14*p - 11*p. Let s(n) = -39984*n - 1365. Let m(o) = 294*o + 10. Let d(j) = 819*m(j) + 6*s(j). Give l(d(b)).\nAnswer: -882*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let y(k) = -5*k**2 - 5*k + 3. Let r(a) = 3*d(a) - y(a). Let l = -557 - -563. Let b(q) = 14*q**2 + 23*q - 9. What is l*b(v) - 17*r(v)?\nAnswer: -v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 4. Let x be f(-2). Suppose 5*m = -2*n + 50, -3*m - 7 = 3*n - 37. Suppose 0 = -2*p + 7*p - m. Calculate the greatest common divisor of x and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/5 - 141*l**3\/5 - 147*l**2\/5 + 713*l\/5 - 426\/5.\nAnswer: (l - 142)*(l - 1)**2*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7691.9 and -5?\nAnswer: -38459.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -7. Let p = -31457249\/172571 + 3\/24653. Let m = -182 - p. What is the third smallest value in t, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -14958736 to the nearest ten thousand.\nAnswer: -14960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 24*f**2 - 19*f - 180. Let t(w) = -17*w**2 + 13*w + 120. Let o(z) = -5*s(z) - 8*t(z). What are the prime factors of o(-8)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/2*((-21)\/(-63))\/((-26)\/(-312))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 35. Let p(k) be the second derivative of 0*k**b - 1\/2*k**2 + 0*k**3 + 1\/20*k**5 + k + 0. What is the derivative of p(v) wrt v?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4664 + -5014. Is -350 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/33)\/((-2766)\/(-228195)).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4745663548 to the nearest integer?\nAnswer: 68889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3132\/(-45))\/6 - -12. Let x = -0.26 + 0.06. What is the biggest value in 0.5, x, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6*p + 3*p + 2 as l*p + d and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49630?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3218, 2535, 1842, 1133, 402, -357, -1150?\nAnswer: -1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.74747502 to 3 dps.\nAnswer: 0.747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -419 - -430. Suppose -25 = -z*h + 140. Calculate the remainder when 26 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102852479?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11802 or -9566?\nAnswer: -11802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 42*h**2 + 3*h - 40. Is q(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 17*g**3 + 13*g**2 - 5*g + 9. Let j(k) = -3*k**2 + 9 - 15 + k + 4 - 4*k**3. Suppose 86*z = 96*z - 90. Give z*j(r) + 2*i(r).\nAnswer: -2*r**3 - r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.67403 + -0.17403. What is the nearest to 1.8 in 2\/5, o, -32?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.55 + -30. Let y = b - -0.15. Let a = -1.7 + -1.3. Sort y, a, -0.8 in increasing order.\nAnswer: a, -0.8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64474667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 271276764 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6*(-8343)\/103)\/2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57.8 * 0.5.\nAnswer: -28.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.664 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**5\/130 + j**3\/13 + 2*j**2\/13 - 40*j. Factor q(a).\nAnswer: -2*(a - 2)*(a + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r**2 - 37*r - 4. Determine p(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5 - 171*k**4 - 3546*k**3 - 31722*k**2 - 111843*k - 132651 = 0 for k.\nAnswer: -17, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2496 is divided by 1232?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -5033656369346.\nAnswer: -5033656369348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 5:41 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*z + 0 = 14, b - 3*z + 8 = 0. Suppose o = q - 4*o - 29, -5*q + 4*o = -61. What is the highest common divisor of b and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -18. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49.67 + -0.67. Let b = g + -49.0055. Round b to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**3\/3 - 5*r - 3. Let i(m) be the first derivative of w(m). Let c(t) = -t + 4*t - t. Give i(c(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -35*y**3 + 2*y**2 + y - 2. Suppose -2*g - 2*g + 4 = 0. Let w be j(g). Let u = w - -82. Is u a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + -13 + (-1029 - -999)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10437486*i**2*x**3 + 15339*i**2*x - 60*x**2 wrt x?\nAnswer: -62624916*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t = 14*t + 32391. Sort t, 1, 3, -2 in increasing order.\nAnswer: t, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -j + 172597, 25*k + 5*j = 27*k - 115076. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**2 - 7*y - 1. Let r be d(-1). Solve 5*w - 5 = -4*a - r*w, a = -w + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - z = 2*z - 228, -2*t - 4*z + 80 = 0. Suppose 3*c = -0*c + t. Solve -2*u + c = -k - 5*u, 5*k + 4*u + 36 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*t**3 + 4*t**3 + 22 - 22.\nAnswer: 242*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30423 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 114, 466, 1052, 1872, 2926, 4214?\n\"Answer: 117*p**2 + p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 take away 592974368?\nAnswer: -592974449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/5 + 17\/15. Let r = 7235.5 - 7236. Which is the biggest value? (a) r (b) 0.5 (c) t (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -1\/77201197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22106 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -14*m + 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 790, 1138, 1468, 1774?\nAnswer: 2050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201221 (base 3) to base 5.\nAnswer: 20032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087 times 0.19?\nAnswer: -0.01653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-10))\/((-4173)\/(-2184) - 2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 11.1. Let b = 0.6 - 1. Let i = b - -0.4. Are q and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s + 5*s - 3*s.\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v*v**0)\/v)\/v)**(3\/23))**21 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 7 = 22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*p = -113*p + 120. Solve 8*o - 6 = p*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 less than 8333?\nAnswer: 8447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 8, -39 = -2*d - z + 111. Let l = -70 + d. Suppose 4*v + 45 = 5*f - 26, -l*v = 5*f + 27. Which is greater: v or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5403419 grams?\nAnswer: 540.3419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 805, 3299, 7455, 13273, 20753?\n\"Answer: 831*m**2 + m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o*t + 282*o + 654969*t + 433 wrt t?\nAnswer: -o + 654969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 6?\nAnswer: -77\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*f + 1\/5*f**4 + 0*f**3 - 1\/5*f**5 + 0*f**2 + 0 = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*8*3\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 + 26*r - 1 - 26*r + (-7 + 7 - 5*r**2)*(40*r - 55*r + 70*r).\nAnswer: -278*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220806198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7910.824 decades to centuries.\nAnswer: 791.0824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 2, v: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/191 - -175\/1528. Let n(q) be the third derivative of -1\/80*q**6 + 0*q - u*q**4 + 3\/40*q**5 + 0*q**3 + 5*q**2 + 0. Factor n(l).\nAnswer: -3*l*(l - 2)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 g when three letters picked without replacement from hgfofhbbvgfobbvh?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 5146498.\nAnswer: 5146497.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000201590333 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/4 (b) -13 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -20 + 15 - (-2 + (30 - (-2 - 2)))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433261267.\nAnswer: 97, 137, 32603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w**2. Let f be (-1978)\/(-115) - (-2)\/(-10). Let t(j) = -16*j**2 - f*j**2 + 23*j**2. Calculate n(t(b)).\nAnswer: -300*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*u - 45*u - 51*u + 57*u to j + a*u and give a.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2934*p + 2932*p - v - 2 = 0, p - v = 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 951804099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9614 + -9612.2. Which is smaller: t or -3.01?\nAnswer: -3.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a + 4 - 4 + (-2 + 4 - 3)*(-3*a + 2*a + 2*a) + 0 + 0 - a + 0*a + a + a + (2 - 4 + 3)*(a - a - a) - 4 + 2*a + 4 - 4 + 4 + 3*a + 317*a + a - 73*a.\nAnswer: 247*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 1. Calculate the remainder when (-4)\/5 + (-2262)\/(-290) is divided by f(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/16 and 37\/120062?\nAnswer: 960496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0113 (b) -3 (c) -12505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4375015 is divided by 538?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + 79. List the prime factors of t.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t**2 - 3*t - 3. Let w be p(3). Let l(n) = n**3 + 27*n**2 + 26*n - 57. Let i be l(-26). Let d = i + w. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -1, 1, -3, 3\/203, 38 in ascending order.\nAnswer: -3, -1, -0.06, 3\/203, 1, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, c: 2, w: 2, o: 4, j: 7}. Give prob of sequence cz.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1180 and 2704.\nAnswer: 797680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*k = -3*c - 12, -5*c + 3 = 2*k. Let m = -4 - -8. Let n = -3.9 + m. What is the closest to c in 2\/7, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 421400 - 563?\nAnswer: 420504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**4\/8 + 335*i**3\/3 - 112225*i**2\/4 + 9314. Let n(s) = 0. Calculate s.\nAnswer: 0, 335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000494668 to six decimal places.\nAnswer: -0.000495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*v - 1, -5*v = -4*f + 1. Let x be ((-1)\/f)\/(-4 - 125\/(-30)). Suppose t = b + 1, -3*b + b = 4*t - 10. Which is greater: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37625671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 27. Let o(c) = c**2. Let w be o(2). Suppose -2*h - 3*h = 4*u - 13, -2*u + w*h = 0. What is the remainder when u is divided by k(13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 - o + 1. Suppose 0*p = -3*p - 12, s = 3*p + 159. Let m(w) = s + 2*w**2 + 0*w**2 - 3*w**3 - 143 - 4*w. Determine 4*j(k) - m(k).\nAnswer: -k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 9 = 404*q - 409*q, -5*q = 5*l + 75 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1571, 12365, 41603, 98507, 192299?\n\"Answer: 1537*o**3 + 35*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -300687.00007 + -24108?\nAnswer: -324795.00007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**3\/4 + 487857*k**2\/4 + 92526462*k + 17507755125 = 0. What is k?\nAnswer: -378, 163375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = b - 4*j - 18, -2*b - j = -11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 359 - 709. Let n = -349.99999989 - t. What is n rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 12. Let p be a(5). Suppose 1 = -4*u - p. Let g be -2*u\/(-4)*-4. Solve -3*i = -g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2129?\nAnswer: 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -28 - (5 + 1 + 0) - 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 2:57 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 483228483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:47 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (8\/420)\/((2\/3)\/(10\/(-3)))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8235, 14827, 21431, 28053, 34699?\nAnswer: 41375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -4. Let t = -3.06 - -0.06. What is the smallest value in t, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 17 + 3*i - 6)*(-i**2 + 2 + 2*i**2 + 0*i**2).\nAnswer: 3*i**3 - 13*i**2 + 6*i - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75656\/(-3360))\/(-193) - 3\/12.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -3358, 2 in decreasing order.\nAnswer: 2, -121, -3358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431 - 86 = 5*h + 2*m, 3*h + 5*m - 226 = 0. Suppose -2*w = -3*w + 7. Let x = h - w. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/(-2) + 4\/2)*-6. Suppose -n*w + 3345 = -28*w. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 5*q**2 - 7*q - 1. Let f be c(-3). Solve f*a + 5*s + 22 = 0, 0 = -0*s - 2*s - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*r - 40. Let z(h) = -h**3 - 6*h**2 - 11*h - 22. Calculate the remainder when r is divided by z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465731 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - ((sqrt(95) - (sqrt(95) + 1*sqrt(95)*-3)) + sqrt(95))) + sqrt(95) - sqrt(95))\/(sqrt(5) - sqrt(20)\/sqrt(4)*-5)*5.\nAnswer: -5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 398098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 793 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**4\/24 + 4*x**3\/3 - 27*x**2. Let q be 8\/(-2)*(-5)\/4. Is 13 a factor of k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -2.9. Let m = -0.2 + j. Let f = 828 + -827.7. Which is the second biggest value? (a) m (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 4) in base 3?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -10, 0.2, 7, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**3 + 6*t**3 - 8*t**3 + (4*t**3 + 0*t**3 - 2*t**3)*(2 - 1 + 1).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30825880 to the power of 1\/2, to the nearest integer?\nAnswer: 5552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -15, -2490, -4, 4 in ascending order.\nAnswer: -2490, -15, -9, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 8*o**2 + o + 9. Calculate j(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/18 and 9\/(-6)*(2431\/71973)\/(-17)?\nAnswer: 13086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + 0 - 20 + f**3 + 23 to the form j*f**3 + x*f**2 + h*f + w and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3905.51413 rounded to the nearest ten?\nAnswer: 3910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**5 + 5514*x**4 + 1083240*x**3 + 11290134*x**2 + 6354789*x - 150370416 = 0.\nAnswer: -1616, -211, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/4 (b) 2\/197 (c) -12\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 1 + 1)*(1 - 1 + 2*g) + (0 - 2 + 4)*(10*g**2 - 2*g**2 + 2*g**2) to the form d*g**2 + x*g + c and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -224 - -1?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by -225\nAnswer: -47\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/832?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 409*i - 6 = -408*i, 5*i = s - 30 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10404 to the nearest 100.\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/21 (b) -51\/8 (c) 0.6 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 3*r + 0*r**3 - 17 + 9\/5*r**2 - 1\/3*r**4 + 1\/75*r**6 + 0*r**5. Solve l(q) = 0 for q.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206\/13 + -5 + -4 + 1071\/117?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnrjlflblbfjbljjjb. Give prob of sequence fln.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 4399.\nAnswer: 17\/4399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19474 - -19470. Let v(p) = p - 12. What is v(f)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + (3 - 91\/(-21)). Let z = -2.07 - 2.23. Which is bigger: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.3. Suppose 0 = -g + x - 8, -3*x + 11 = -4*g - 6*x. Let n = -1 - g. Which is the nearest to 1? (a) n (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y + 12*y - 40*y)*(0 - 2 + 3).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -0.230043035860582?\nAnswer: -0.769956964139418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - 38. Let m = a + -20. Let q(i) = 2*i**2 - 4*i - 17. Is 8 a factor of q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.59 + 2.41. Which is the smallest value? (a) 2 (b) -4\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 861745?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2545015 - 2*k**2 + 0*k - 2546205 - k + 4144*k**5 wrt k.\nAnswer: 248640*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 + 71. Let u = 40 - 40.8. Let h = 0.5 + u. Is h > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4 + 91006905*s**3 + 91006899*s**2 - 91006905*s - 91006902 = 0. What is s?\nAnswer: -30335634, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from {u: 3, f: 2, z: 7, k: 3, b: 1, o: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b + 52 = 0. Let a be 156\/6*3\/6. Calculate the greatest common factor of b and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18711 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 6*s**4 - 2572*s**3 - 77224*s**2 + 3735472*s - 2455232 = 0?\nAnswer: -52, 2\/3, 26, 454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*t**2 + 4*t + t + 5*t - 6 - 12*t + 3*t as f*t**2 + u*t + c and give f.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 5. Let r(y) = 2*y - 218. Give r(o(m)).\nAnswer: -2*m**2 - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/3))**(-2\/11)\/(o**(-8\/3)\/o**(-8\/5)))**(-41))**(-31) assuming o is positive.\nAnswer: o**(78802\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*u - 48*u + 35940 = 46*u. Round u to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 7*b**2 - 12. Let c(l) = l**3 + 3*l**2 + 6. Give 7*c(j) + 3*m(j).\nAnswer: j**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**5\/12 + 5*n**4\/4 - 35*n**3\/6 + 15*n**2\/2 - 26. Let c(u) be the second derivative of p(u). Let c(t) = 0. Calculate t.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-24)\/156 + 835\/1456 and -73\/126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8 - (-107786)\/(-10584)) + 2 and -125\/42.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47, 172, 355, 596, 895, 1252?\n\"Answer: 29*f**2 + 38*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tahghgaaaaaautaaggh. What is prob of sequence tut?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -7855?\nAnswer: 785d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.83, 3, -1\/15 in ascending order.\nAnswer: -1\/15, 0.83, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 r when three letters picked without replacement from {l: 6, r: 7, q: 4}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) 85 (b) 0.013 (c) 2\/7 (d) 0.3 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 9*o**4 + 6)*(-1 - 4945*o - 4947*o + 9890*o).\nAnswer: 18*o**5 + 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.024 + 0.176. Let x = -67\/371 - -2\/53. Which is the second smallest value? (a) x (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1125) - (sqrt(1125) + -2*2*sqrt(1125))))\/(-2*((sqrt(72) + -1*sqrt(72) - sqrt(72))*-1)\/sqrt(8))*-1.\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/24 - 5*w**3\/6 + w**2. Let g(r) = -293. Let d(f) = -195. Let j(k) = 3*d(k) - 2*g(k). Calculate -2*c(y) - 9*j(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691 a factor of 39380094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*((-5)\/(-25) + (-3)\/5). Solve 3*d + 19 = 2*o, v*o - 14 = -8*d + 10*d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + sqrt(891) + -1 - (sqrt(891) + 0)*-3))**2 + (-3 + (sqrt(891) - 1*(sqrt(891) + (sqrt(891) - sqrt(891)*-2))))*2.\nAnswer: -5814*sqrt(11) + 228490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 18*d - 18 = 0. Let c(m) = -7*m - d - 15 + 17. Calculate c(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/1917 and 58\/28953.\nAnswer: 6166989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 18 - 3 = -2*q - 5, -17 = -3*j + 3*q - 8*q for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5848 or -3164148\/541?\nAnswer: -3164148\/541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-9)\/8) + (-1086)\/3258.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 38*v**2 - 265*v - 27. Determine w(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*u - 5*g, 2*g + 0 - 4 = -2*u. Suppose -u*l = 9*l - 2464. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - 3.6. Let f = 591\/2 + -294. Which is the third biggest value? (a) f (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76508455 to the power of 1\/4, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 15 + -43 - -1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -13. Suppose 24 = -5*h - f*r + 3*r, h + 9 = -2*r. Suppose 3*d + 0*d - 3 = 0. Put d, h, 2 in descending order.\nAnswer: 2, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b - 5. Let t be h(-2). Solve f + 5*z - z = 19, 0 = t*f + z - 19 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 59436\/60 + 2\/5. Suppose -181 = -4*u + i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 - 24*z**2 - 232*z - 1044. Determine k(-9).\nAnswer: -3087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/4)\/(1\/6))\/(12824\/(-3664))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160 - 28)\/(-12) + 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 828657309, 828657311, 828657313, 828657315, 828657317, 828657319?\nAnswer: 828657321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -3. Suppose 3*l - 38 + 9 = 5*q, -5*l + 3*q + 27 = 0. Solve 8 + 12 = l*r - 4*h, 10 = u*r - h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = -4*x. Let f(m) = m. Let l be f(x). Suppose 4*i - d - 11 = i, d - 10 = -4*i. Solve -4*j - 2 = 2*w, -j = i*w - l*w - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-6)*195\/10. Suppose k = i + i. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.42, 0, 1.635, 3\/95, -1\/6, -1?\nAnswer: 1.635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6)*n\/(n*n**(4\/3)))\/(n**1)**9)\/((n\/((n*n**0*n)\/n))**(-3\/8)\/((n\/n**6)\/n**(4\/7))) assuming n is positive.\nAnswer: n**(-460\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 9*l. Let b(m) = -12*m. Let k(r) = 6*r. Let i(j) = -3*b(j) - 5*k(j). Give d(i(t)).\nAnswer: 54*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (0 - (0 + 4)). Suppose n*r - 5*o = 4*r - 43, -r + 5*o = -42. Solve r - 5 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -2*c**3\/3 + c**2\/2 + 11*c. Let u(i) = i - 1. Let f(d) = -7*d + 6. Let y(h) = f(h) + 6*u(h). What is l(w) - 6*y(w)?\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddm when three letters picked without replacement from ddfmddgmmdfdfgdgddmd?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1\/2, 54\/23 in decreasing order.\nAnswer: 17, 54\/23, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1748262601 to 2 dps.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 - 110. What is the remainder when 20 is divided by 8*(-5 + 69\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 502 = 4*c - 2*c, -2*c + 490 = -p. What are the prime factors of c?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8*4*-2. Let l(c) = c**2 + 7*c + 5. Let p be l(-7). Suppose p*t - 4*j = -j - 2, 3*t + 14 = 5*j. Solve t*s + k = h - 5, 5*s = 4*h - 32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + q + 76. Calculate x(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239759 is divided by 119777.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19b1 (base 12) in base 5?\nAnswer: -100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z + 7. Let d(s) = -2*s + 3. Let i(v) = v. Let b(f) = d(f) + 6*i(f). Let m(k) = 14*b(k) - 6*p(k). Let r(a) = 11*a**2. Give r(m(n)).\nAnswer: 44*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -725673 by 241891.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**6*j)\/j**(-1)*(j**(1\/2))**(-38)*(j**(2\/7)*j)\/(j\/(j**(-1\/3)\/j))*j**(-3)\/(j**(-2\/7)\/j) assuming j is positive.\nAnswer: j**(-268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p - 80. Let n be (-46)\/8 - (-7)\/(-28). Let k be n - 557\/(-3) - (-1)\/3. What is the greatest common divisor of p and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -379964\/3 or -0.1?\nAnswer: -379964\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -38?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 4912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from {e: 3, g: 2, f: 6, d: 1, h: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 170, -179, 2, 1, 0, -4 in ascending order.\nAnswer: -179, -4, 0, 1, 2, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -32 - 4. Suppose -3*q + 9 = -2*c - 9, 13 = q - 3*c. Let a(m) = -5*m + 30. Calculate the remainder when k is divided by a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 227\/4329?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+4633.2\nAnswer: 4633.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2303 (b) 2 (c) -4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-12)*2 + (-14)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2649 and 76821?\nAnswer: 76821","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15114 - 5?\nAnswer: -15123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + b**4 + b**2)*(-1 + 3 + 0)*(-4 + 6 + 1) + (-2*b - b + 0*b)*(7 + 5*b**3 - 7)*(-45 - 29 + 19).\nAnswer: 831*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 14) to base 11.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1006845*z**2 - 156305?\nAnswer: -2013690*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 208 (b) 1 (c) 1122 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -144, -124, -104?\n\"Answer: 20*f - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1796792 is divided by 307?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcht when four letters picked without replacement from kkrtckkthk?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 71, 65, 59?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 12:16 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*547.5.\nAnswer: 54.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343)\/sqrt(7)*-4 - -5*sqrt(343)\/sqrt(7))\/((sqrt(567) + (-1*(sqrt(567) - 1*sqrt(567) - sqrt(567)) - sqrt(567)) + sqrt(567) - sqrt(567))*-1).\nAnswer: -sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 115 divided by -115\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-125)\/30 + 4)*(-624190 + 1)*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 + 0)*(-22*p + 2 + 1 - p**2 + 27*p) to the form i*p + b*p**2 + v and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1046 + -275. Let g = m + -777. Let h(i) = -i**2 - 3*i + 8. Calculate h(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3 + 732*i**2 + 38844*i + 468452 = 0.\nAnswer: -83, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (-4 - -7))\/(-1 - 0). Let o be k\/9 + (0 - (-142)\/(-3)). Let i = o - -90. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(4) + 1*sqrt(4)))\/(sqrt(54)\/sqrt(3)))**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(108 + 0)*-6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*o = 4*m - 26, -7 = -m - 3*o. Suppose -3*p + 4 = 19. Let q = 20 + p. What is the greatest common factor of q and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((-1*sqrt(70) - sqrt(70))*5 + sqrt(70))\/sqrt(10)*2 - ((sqrt(385)*2)\/sqrt(11))\/((sqrt(20) + sqrt(180) - sqrt(5)) + sqrt(5)))**2.\nAnswer: 37335\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 + -0.07. Let r = -6102.57 + 6102.16. What is the smallest value in n, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 7924?\nAnswer: 7923.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 233.5 + -99.3. Let j = -133.742 - 0.258. Let d = j + y. What is the nearest to 4 in d, -5, -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*j + 127*j + 231418 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56088256.\nAnswer: 2, 7, 125197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a - 693 = -493. Sort -57, -5, -3, a, -4 in ascending order.\nAnswer: -57, -5, -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9363193?\nAnswer: 7, 307, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 40*114\/167200*36\/18\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*j + 19, 4*k + 36 - 67 = 3*j. Solve -7 = -k*a + 14*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3334*g - 3361*g + 10017*g - 3338*g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 22*r - 14*r = 314, 3*w + 21 = -4*r. What is the remainder when 7 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 290465771 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 1444028.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Suppose -4*c + 2*c = -2*q - 6, -3*c + 7 = -h*q. Let u = -1 + c. Which is smaller: -2\/9 or u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2718158 to the power of 1\/3, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 40*x + 8*x)*(3*x**4 - 3*x**4 + x**4) - x**5 - 2*x**5 + x**5.\nAnswer: -37*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + o + 1 - 3, -4*x = -2*o + 4. Suppose 0 = -s - x + 5. Suppose -5*k - 9 = 4*m, s*k + 3*m + 5 = -3. Which is smaller: k or 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 68 = -2*v. Let x = -65 + v. Suppose x*k + 179 - 881 = 0. Does 39 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1227, -0.5, 4, 5?\nAnswer: -1227","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 4*n + 3*n + 2 + (n + 7*n - 4*n)*(6 - 1 - 4) to h*n + j and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9\/4, -0.5, -0.1, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6250, -23803, -52662, -92827?\n\"Answer: -5653*g**2 - 594*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1690 - 3975. Are -2287 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9724439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + (44 - (18 - -15)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7.594558 micrograms?\nAnswer: 7594.558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 940871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 775764 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9639870 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8605 + 17205 - 1599*b**2 - 8600 - 2166*b**2 to the form f + z*b + m*b**2 and give m.\nAnswer: -3765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 3740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10434301*k**2 - 29*k - 5181.\nAnswer: -20868602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*a**3 + 58869*a**2 + 213*a**3 - 58873*a**2.\nAnswer: -2*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, -4, 3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2. Let b(c) = -15*c + 44. Let j(u) = 64*u - 210. Let g(k) = -9*b(k) - 2*j(k). What is y(g(q))?\nAnswer: 49*q**2 + 336*q + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21631*o - 21619*o - 39 = 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 272\/18 - (-2080)\/(-1872). Solve 0 = -912*k + 919*k + x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iww when three letters picked without replacement from {i: 2, w: 10}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3579348 divided by -16.\nAnswer: -894837\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41179981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26569 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 12a?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -3 (b) 3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 174*d + 10*d**3 - 3*d**3.\nAnswer: 2*d**3 - 174*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 927 divide 8482977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*j - 7*j. Suppose -2*a + 10 = 3*a. Factor -5*y + 2*y**2 + j + a - y.\nAnswer: 2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 6:03 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(132)*5)\/(sqrt(48)\/sqrt(4)*2) - ((sqrt(11) - sqrt(99)*-5) + -2)*5)**2.\nAnswer: -1323375\/4 + 7750*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 1342 = 20*h. What is the remainder when h is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -5 - 1624\/319. Suppose 4*m + 23 = k, 12*m - 16 = 15*m - k. Is m less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381685 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/3 - 5 - 2. List the prime factors of v\/2*(-5 + -1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8\/17 - -131\/170. What is the biggest value in -0.4, l, -2\/19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 f, and 1 h when four letters picked without replacement from {h: 10, r: 1, f: 9}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13462 is divided by 345.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, o: 4, u: 5}. What is prob of picking 2 r and 2 o?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 342 - 72. Suppose 0 = -3*u + 3*g + b, -3*u + 21 + 28 = -5*g. Calculate the greatest common divisor of 403 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 319*u - 320*u - 47, 100 = 6*g + 4*u. Which is smaller: 333\/22 or g?\nAnswer: 333\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 4*q**2 + q - 15. What is the units digit of m(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 + 2 - 92)*(3 - 3 - 2*y**2).\nAnswer: 474*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -925900, -925957, -926014, -926041, -926008, -925885, -925642, -925249?\nAnswer: -924676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1320?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -77050148.9 rounded to the nearest 10000?\nAnswer: -77050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8969*y + 70187. What is x(-8)?\nAnswer: -1565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1125*f - 1209*f + 1.\nAnswer: -84*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111111000 (base 2) in base 12?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, e: 2, z: 1, b: 2, h: 1, j: 1}. Give prob of picking 1 e and 1 b.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*g - 49, -42*g + 38*g + x + 19 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2136028 is divided by 305121?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 55\/11*(-6)\/10. Let j = 6 + -2. Let p(n) = 2*n + j*n**2 + n**3 - 4 + 2*n**2 - 2*n**2. What is p(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 29*i**2 + 72*i - 49. Is g(30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 428643 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/(-3))\/(((-22)\/36)\/11). Calculate the greatest common divisor of h and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-422)\/1055 + (-5)\/(7375\/(-540))?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-5))\/(-6*9\/(-54))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3 = 2*l - 2*d, 3*l = 5*d + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -0*i + 4002. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/18*(-93)\/(-62)*(-52)\/(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 + -83.3. Let x = -5 + z. Which is the third biggest value? (a) 1\/3 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, p: 5, c: 2, o: 3, z: 1}. What is prob of picking 1 z and 2 o?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50.785 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -49b48 (base 15) in base 5?\nAnswer: -30013133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - 2242?\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -28919 - 30.7?\nAnswer: -28949.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1901101 + 1926128.53. Let k = -25005.52963 + h. Let g = k + -22. What is g rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a**3 - 2*a**2 - 22 + 22)*(4 - 2 - 1).\nAnswer: a**3 - 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -4*w + 41. Let x = w + -38. Suppose -k + 28 = 2*n, k - x*n - 34 = -n. What is the remainder when k is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y. Let p(o) = 2*o + 15 - 15. Give p(q(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 6. Let d = 3396 + -10187\/3. Sort y, d, -10 in descending order.\nAnswer: y, d, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286087 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 13*h + 40. Let u be t(9). Let d be (-1)\/u + 5\/4 + 3. Solve d*s = 9*s - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2434 - -2439. Suppose -5*p - 1415 = 5*w, -p + 3*p + 552 = 5*w. Let n = p - -1963\/7. Which is the smallest value? (a) m (b) n (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/3 in -1, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = b - 0*b + 161, 255 = 5*o + b. Let x = o + -39. What is the highest common divisor of x and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fttffffftff?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/14*107\/(-642)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqpuwajpu. Give prob of sequence qu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665 not equal to 1663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csfcsfcfellflefelf. What is prob of picking 2 s and 1 f?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -82891548 divided by -9210172\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = -5*p + 3, 4*h = 3*p + 19. Suppose 23*x - 18*x - 45 = 0. Suppose h*c + 20 = x*c. Calculate the highest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 167, -2, -3 in decreasing order.\nAnswer: 167, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177784.\nAnswer: 2, 71, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 6*n**2 - 6*n - 4. Let s be ((-21)\/6)\/((-6)\/12). Let w be k(s). Suppose -w*q = -77 - 106. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273990287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**3\/6 + 5*x**2\/2 + 2*x + 11. Determine n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129.00122 + 129. What is f rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-54 + 0)*(-4)\/6. Let l be x\/8 + (-1)\/(-2). Suppose s = -5, -3*s + 6*s + 75 = l*z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*z**3 - 741*z + 56168 with respect to z.\nAnswer: -36*z**2 - 741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 6. Suppose 0*d - d = 5, 25 = -4*j - k*d. Solve 3*t - 12 = 0, -2*q - 2*t + 3 - 1 = j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 0*z. Suppose 0 = 4*t - z*a - 2*a + 8, -3*a = 3*t - 12. Solve t = -0*q + 3*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-306)\/(-21))\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1 - a - 5 + 1 wrt a.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634.29177 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/20*4\/(-1). Let b = l + 5. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*l - 10081 = -116*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -95. Let c = -95\/2 - r. Determine x so that 0*x + 0 - c*x**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 4*o + 5. Suppose -3*n - 2*n - 15 = 0. Let q be y(n). Solve -i = -2 - q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/4, 5, 1, -25731507 in increasing order.\nAnswer: -25731507, -0.5, 1\/4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Let d = 4 - s. Solve -4*b = -d*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68613+-0.145\nAnswer: 68612.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81\/5*u**2 + 30*u + 0 + 3\/5*u**3 = 0 for u.\nAnswer: 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -91?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-15))\/(1\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 2. Let w be s(-4). Let j(p) = -2*p - p + p**3 + w*p**2 - 5 + 2*p. Suppose -2*v = -0*v + 12. What is j(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -35*g**2 + g + 1. Let u be m(-1). Let b be (-7)\/(-2)*(-20)\/u. Find the third derivative of -9*c**5 + 4*c**2 + 8*c**5 + b*c**2 wrt c.\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4350, 4348, 4346, 4344, 4342, 4340?\n\"Answer: -2*p + 4352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - z = -2*x - 10, x + 8 = 2*z. Suppose -o - q + 16 = 2*q, 5*o = -5*q + 40. What is the units digit of 0 + 28 - x\/o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -150260933*q**3*z**3 - 178*q**3 - 266645*z**2 wrt z?\nAnswer: -901565598*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from 391667.4.\nAnswer: 391667.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*4\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 45*u**2 + 93*u + 51. Let d be m(47). Let w(k) be the first derivative of -1 - 3\/2*k**2 - d*k**3 + 9\/4*k**4 + 6*k. Factor w(x).\nAnswer: 3*(x - 1)**2*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 + d**5 - 12193474*d**3 + 380454*d**2 - 331 wrt d.\nAnswer: 240*d**3 + 60*d**2 - 73160844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 232643062 a multiple of 1818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnt when three letters picked without replacement from nnnnnnhtthnht?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -36*b - 107. Let h be l(-3). Suppose -x = x. Solve -2*d = 2*d - 2*o + 14, -o - h = x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39641 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -77*c + 5037. Determine v(66).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 8*u + 6 = 0. Let h be 1*(u + -1) + -2 + 5. What is the first derivative of 18*b**2 + 7 - h - 4 wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/(-4) - -3) + (-70728)\/(-112) is divided by 44.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 62418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901857403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4788569 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 12:22 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-36))\/((-3)\/27). Solve -3*h - 16 = -4*s + 7, k*s + 7 = -3*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1684 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5382, 10767, 16154, 21543?\n\"Answer: g**2 + 5382*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6375 - 9887 = 103*h - 68093. What is the remainder when 2523 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/s**33)\/s))\/s**32)**34 assuming s is positive.\nAnswer: s**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkbcy. What is prob of sequence bb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 493 + -541. What is the thousands digit of 15968\/9 + 1 - j\/(-216)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -526 + 517320?\nAnswer: 516794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 y, and 1 i when four letters picked without replacement from yipiy.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1565371*g**3 - 2*g**2 + 89998*g + 2 wrt g.\nAnswer: 9392226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6402 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 1\/2*m**4 - 2*m**3 + 4*m**2 + 3*m + 0 - 1\/20*m**5. Solve h(u) = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 - 9.03. Which is the third smallest value? (a) -2 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 12*a - 11. Let w be g(-11). Suppose w = q - 2 - 5. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/120 + x**5\/15 - x**4\/24 + x**3\/2 - 2*x**2. Let u be n(3). What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13254701 divided by 5\nAnswer: -13254701\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-324)\/21)\/(-6)*(-2)\/(-12).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5*g = -32, 0 = -5*k - 2*g + 3*g + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 10 + 5 + h**4)*(2 - 2*h - 2).\nAnswer: -2*h**5 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 270107 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000931 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.65 + -5.55. What is the fifth biggest value in -2, -3, 224, -0.2, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 5*j**2 + 5*j + 6. Let h be v(6). Let n = 378 - 349.1. Let q = n - 29. What is the third biggest value in -14, q, h?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/40*332\/(-13197)*-53?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88 in 0.01, 7, -0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 511*b + 5957. Calculate w(-12).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*s - 2*j = 2, 3*j = 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 358*l + 325. What is the thousands digit of b(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 12354500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.414 + 0.014. Put x, -4, -12, 0.1 in ascending order.\nAnswer: -12, -4, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-34)*i**(-10\/7) assuming i is positive.\nAnswer: i**(-248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 301258 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(432) + 1)**2.\nAnswer: -2205 - 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000229810779 rounded to 6 decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0660486432 to five dps.\nAnswer: -0.06605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 318.8379ug?\nAnswer: 318837.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 219 + -217. Find the first derivative of 4*m - 6 + 9 + i wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1383 + -1263. What is the least common multiple of 15 and h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55374 is divided by 802.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -8731.47.\nAnswer: -8722.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -115 (b) 28882 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*q = -16, 0 = -k + q - 10 + 9. Solve -9*z - 5 = 4*s - k*z, -2*z + 30 = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v. Let s = -14 - -14. Let i be u(s). Suppose f + f - 8 = i. Solve 0 = f*w - 8*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c4 - 3?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -50 + 50.047. Let k = y + -0.787. Round k to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -104031198 and 0.4.\nAnswer: -41612479.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 126644\nAnswer: 5\/126644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, f: 1, m: 2, d: 4, s: 3}. Give prob of picking 1 s and 1 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -652910 + 653157.9735. Let j = 248 - y. Round j to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:49 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/1031 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1.021, 0.3, 4, 3, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 287*b - 18595. Determine w(188).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k**3 - 28*k**2 - 9*k + 197.\nAnswer: 18*k - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -205, -203, -189, -163, -125, -75?\n\"Answer: 6*y**2 - 16*y - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 113735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5946.33+1265917\nAnswer: 1259970.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2277 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 276 (base 13) to base 14\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31854 is divided by 201?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3163086 * 0.2.\nAnswer: -632617.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-7) - (-79)\/15)*(-50)\/(-300)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + (-5*(1 + (sqrt(272))**2) - (-4 + (sqrt(17) + 0)**2 + 2))).\nAnswer: 8286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5.907 times 11.8\nAnswer: -69.7026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -160?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 129.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1404*z - 1160 wrt z.\nAnswer: -1404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwzwwwz. What is prob of picking 2 z and 2 w?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -2)*(-18)\/(-27) + 3. Suppose 2*d = -2*r + 10, 3*d = r - t*r + 16. Factor 0*v**2 + 0 + 0*v + 6\/7*v**d - 2\/7*v**3 - 4\/7*v**5.\nAnswer: -2*v**3*(v - 1)*(2*v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66404 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -366, -1, 3, -4, 4 in ascending order.\nAnswer: -366, -10, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 162951, 652350, 1468015, 2609946?\n\"Answer: 163133*v**2 - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 17. Sort -2, k, -3 in increasing order.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/22))\/(a\/a**(-2)))\/(a*a**(-29)*a**7) assuming a is positive.\nAnswer: a**(417\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 864537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1731, 1719, 1711, 1707, 1707?\n\"Answer: 2*x**2 - 18*x + 1747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-9592)\/(-60) - (-4)\/30. Suppose -2*f + y + 228 = 2*z, 3*f + z - 582 = 0. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 - 6460\/1710\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76840 and 67235?\nAnswer: 537880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -14. Calculate the smallest common multiple of g and (-4150)\/498*(-1 + 0) + (-2)\/6.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 + 58\/6. Suppose v*w = 2*w + 3787. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -917*y + 1210?\nAnswer: -917","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 divided by 119?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3952*g**3 + 31615*g**2 + 79048*g + 20 = 0. What is g?\nAnswer: -2, -1\/3952, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26024 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -1060, -2457, -4392, -6865, -9876?\nAnswer: -13425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g + 2\/7*g**2 + 896 = 0 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 32 = -4*z, -3*d + 130768 = -z + 130760 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 395 = -107. Suppose -6*b - 12 = i. Let w(h) = h**2 - 2*h + 1. Is w(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*i + 5. Suppose -27*l + 26*l = 5*u - 1738, -3*u - 5*l + 1034 = 0. Suppose i*w - w = u. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u - 2 - u + 0 + 2*u - 20*u - 13*u + (2 + 4 - 4)*(-2 + 2*u + 2) + 0*u + 0*u + u - 6*u + u + 4*u.\nAnswer: -21*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 15*z**3 + 6 + 4.\nAnswer: -15*z**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.00296 + 0.99704. What is the closest to s in -0.1, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1827*t**3*x**3 - 3*t**3*x + 15*t**3 - t*x + 511*t - 197*x**3 wrt x.\nAnswer: -10962*t**3*x - 1182*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 12:25 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.222 times -4?\nAnswer: 28.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 15. Let j = -35 + 24. Suppose 2*q - 15 = 17. What is the least common multiple of r(j) and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.297 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1500 - -2770. Let r = -801 + j. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from rraraarrrasra?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45*8*(-6)\/144)\/(-3*6\/(-90))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 21 = -11*j, -8*j + 2*j - 11*q = -11*j - 93 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27430, 54863, 82292, 109717?\n\"Answer: -2*m**2 + 27439*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*s**2 + 147*s**2 - 21 + 127 + s**2 wrt s?\nAnswer: 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -143, -809, -1973, -3623, -5747?\n\"Answer: 2*c**3 - 261*c**2 + 103*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = 10*q + 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120165006 and 5928.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-9)*(-12)\/(-40). Let q = 6 - 11. Let y be 1 + 4\/30 + -1. Which is the second smallest value? (a) y (b) k (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3.7. What is the second smallest value in -0.4, -1.5, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -4 + (-91 - 0). Suppose 0 = -z + q - 73, 2*q + 64 = -5*z + 4*z. Let h = z - o. What is the smallest common multiple of h and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**2*n)*n*n*n*n*n\/(n**(-7)*n*n))**41 assuming n is positive.\nAnswer: n**287","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (48 - (-18 + 19)) + 12\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s - 3. Let g be (11\/(-55) + 7\/10)\/((-6)\/(-36)). Determine r(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -51. Let c = 9 + p. Let i be 10 + 3*c\/(-12). Calculate the greatest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3\/9 - 2842*h**2\/9 + 2022080*h\/9 - 4032800\/9 = 0?\nAnswer: 2, 1420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 5*n**2 - 3*n - 12. Let k be u(-5). Factor k*g + 2*g**2 + 3 - 5 + 5*g + 8.\nAnswer: 2*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -706 - -2?\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-1630)\/110 + 5 + (-4)\/22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 532b4 - -2?\nAnswer: 532b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5 = 5*i, 4*k = -29*i + 28*i - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -31 + -6 + 8 + 11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*m - 289 = 60*m. What is the remainder when 130 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -29*d + 32*d + 363, -117 = -j - 3*d. Let y be (1 - -4)*-1 + (-126)\/(-6). Calculate the greatest common divisor of j and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7405112 (base 9) in base 15?\nAnswer: 533515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 + -7. Suppose -5*r - 2*t = 2*t - 30, -q*r + t + 1 = 0. Sort -5, -1, r in increasing order.\nAnswer: -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 0.2, 14553, 87?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 j, and 1 t when four letters picked without replacement from kjtxjwwxkjjkjxxj.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-48)\/12 - (-1 + 8). Let i = 14 + o. Which is greater: 4 or i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.1*-0.36\nAnswer: -1.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 20*h**2 + 77*h + 77. Determine m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4 - 2. Let q be 63\/12 + (-3)\/12. Suppose -3 = -2*b + q. What is the lowest common multiple of m and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133 * 2.\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -5*b**3\/2 + 51*b**2\/2 - 15*b - 2. Let h be k(3). What is the highest common divisor of 21 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - v - 2. Let m(f) = 3*f**2 - 11*f - 70. Let t = 141 - 139. Let p(d) = t*u(d) - m(d). What is the derivative of p(z) wrt z?\nAnswer: -10*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67307 (base 10) to base 15.\nAnswer: 14e22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 16, -6, 5, -4 in descending order.\nAnswer: 16, 5, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 12, 28, 62, 120, 208?\n\"Answer: o**3 - 3*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, g: 1, e: 10}. What is prob of sequence ge?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2*o, -3*o = -0*s - 4*s + 4. Solve 15 = 3*q, -s*v - 3*q = q - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1055365 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1667 + 4?\nAnswer: -1663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 99300 and 13240.\nAnswer: 198600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475906327*x**2 + 36*x**3 - 475906327*x**2.\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65237 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -206 + 81. Let b(o) = -o**3 + 10*o**2 - 2*o + 19. Let c be b(10). Let q be t\/5*(c + 0). What is the greatest common factor of 10 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, n: 1, m: 1, y: 2}. What is prob of sequence mzyn?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3 - 1. What are the prime factors of 6*(u - (-9)\/2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10871170121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397 + -301. Solve -101*t = -m*t - 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*u**2 + 0 + 12*u.\nAnswer: -2*u*(u - 42)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110717955 and 59049576.\nAnswer: 885743640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -16*n**3 + n**2 - 1. Let u be y(-1). Let x = u - 7. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57802 (base 10) to base 2.\nAnswer: -1110000111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 429761*i**2*z + 83*i*z - 62*i + 8*z wrt i?\nAnswer: 859522*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11172\/(-380))\/((-6)\/10). Solve b = -38*t - 65 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -0.4 (b) -3 (c) -2\/9 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, w: 4, r: 3, y: 2, p: 3, o: 1}. What is prob of sequence opr?\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 2, i: 1, b: 5, j: 3}. What is prob of picking 1 u, 1 f, and 1 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-44)*(-221)\/(26520\/(-288))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2018712 divided by -24.\nAnswer: 84113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443666 is divided by 301?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -656 in -0.5, 20, 8\/13, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/3*-3 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 513 + -514. Let f = 217 - 215. Which is the closest to 5? (a) z (b) -1\/2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 2*u - 3 + 5 as t*u + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 418969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/3)\/(26\/39). Let l be (3\/12)\/(f\/(-4)). Let w be (-1 - 2)*2\/3. Which is the nearest to -1? (a) l (b) w (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 44, -418, -1746, -4372, -8728?\n\"Answer: -72*x**3 - x**2 + 45*x + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, -2\/3, -0.4, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 >= -797730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 530\/3 - 9004\/51. Which is the smallest value? (a) 0.2 (b) h (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m - 168. Let q be j(-25). Solve -5*d = -10, -3*g - d - q = -3*d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.6 + -9. Which is the nearest to 0? (a) -2\/9 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 0. Let q be 1*n\/3*2. Suppose 4*m + 3 = m. Which is the second smallest value? (a) m (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 4:12 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 789342? (a) -0.03 (b) 2 (c) -4 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4580174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 363\/2 + -2477\/14. Let y = 14535 + -14531. Solve 0*f**2 - d*f**3 + 16\/7*f**y + 0 - 2\/7*f**5 + 0*f = 0 for f.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -2*d + 17, 17*d = 5*w + 12*d + 35 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -636 + 4?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537992?\nAnswer: 2, 7, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133742 is divided by 10425?\nAnswer: 8642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -5.4, 20 in descending order.\nAnswer: 20, -2\/7, -5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*z - 2644, 3*z + 3*j - 1887 = -309. Suppose -4*s - 4*s + z = 0. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 497735066 to the power of 1\/2, to the nearest integer?\nAnswer: 22310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2*l - d = -19, 4*d - 4 = 4*l. Let y(p) = 8*p + 1. What is the units digit of y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 53644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68281639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11100322 - 321?\nAnswer: -11101303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 6*z + 54, -78*z - 29 = -d - 75*z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/(-66))\/((-837)\/124)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 15 = -6*l, 2*g - 5*l = 5409. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26614516 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 353*w - 140*w - 1917 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 v when three letters picked without replacement from ovvvotw.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*g**2 - 11\/3*g + 7\/2.\nAnswer: (g - 21)*(g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, -3\/5, -3\/2 in descending order.\nAnswer: -0.4, -3\/5, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r - 2. Let y(u) = -u**3 - 12*u**2 - 21*u - 13. Let t be y(-10). Let k(g) be the second derivative of -g**3\/6 + 3*g. Determine t*k(i) - f(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1370 + -1348. Suppose -24 = -5*t + 4*t. Solve 5*x - i = o + 2*o, 0 = -4*x + 4*o + t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76 + 69 - (-3 - (1 - -6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*o - 580, 20 - 22 = -o. Is 84 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80364?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, s: 5, g: 1, t: 1, f: 2}. Give prob of sequence sfgt.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 1, 18, 15, 5 in decreasing order.\nAnswer: 18, 15, 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000179920995 to 7 decimal places.\nAnswer: -0.0001799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 17 + -1 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 4*y**2 + 8*y - 22. Calculate t(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 16*l - 6. Let f be -3 - -1*(4 + 11). What is the units digit of d(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1185 and 1305.\nAnswer: 103095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 6 = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (104\/(-39))\/(12\/18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03556035 - 1407.\nAnswer: -1406.96443965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33593*l + 0*g + g - 13 = 33594*l, 2*g - 16 = -3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12*z**2 + z. Let l be y(1). Let g = -13 + l. Solve g = 5*c + 21 - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2362 is divided by 50?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/5)\/((-2)\/(-10)). Let l(z) be the first derivative of -21*z**2\/2 + z - 3. Is l(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 53695 - -79?\nAnswer: 53763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eww when three letters picked without replacement from {e: 1, w: 2, b: 1, y: 1, x: 1, a: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2157980 and 188870?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, j: 3}. Give prob of sequence jo.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 168221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -4*x - 26*d + 23*d, -95*x = -2*d + 28 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**2 - 1. Let x(r) = 4*r**2 + 1. What is 4*u(g) + 6*x(g)?\nAnswer: 4*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*u - 34. Suppose -2*x + u*x = 1040. Let o = x - 131. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 + 98. Let v(a) = -3*a + 3. Determine v(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70\/649 - 1\/59. Let c = z + 0. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 = -2. Suppose 5 = -2*j - 3. Let g = -8 - -8.5. Sort j, i, g in increasing order.\nAnswer: j, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 12. Let t be -1*((4 - 1) + q). Let v = 29 + t. Solve 0 = -2*a - 6 - v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -o**3\/3 + o**2\/2 + o + 2465. Let w(s) = -26*s**2 - 5*s - 5. Determine -5*q(m) - w(m).\nAnswer: 31*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 24*t - 35. Give w(10).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 16 - 19 = 5*k, -4*k - 4*n - 32 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18026340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -4 (b) -0.4 (c) -0.6 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2) + 25\/(-35) + -2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 41*l - 63 = -37*l, 4*x + 48 = -2*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117588 and 2132?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 228*h - 227*h - 2. Suppose 4*l - h*s = s + 14, 3*s = -3*l + 21. Solve 0*p = 5*p - l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 509921833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 326 and 60088157.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f**2 - 25368*f + 579242. Give r(23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*2.91671\nAnswer: 5.83342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -118061, -236050, -353965, -471806, -589573?\n\"Answer: 37*g**2 - 118100*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - n - 11688 = 0, 3*t - 3*n + 19354 = 1849. Round t to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.04, -1\/2, 1, -2, 0?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocouuouncxocouxouoob. Give prob of sequence xbcx.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133 + 1. Let d = -86 - h. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 - 2*x - 4. Let u be z(6). Suppose -5*q + u = -67. List the prime factors of q.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 14) to base 13\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/365 or 77\/60?\nAnswer: 77\/60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/23? (a) 2 (b) -2\/11 (c) -4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211 + 114 - 2*s + 39 + 58.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 0.11, 36\/5, 3\/7 in decreasing order.\nAnswer: 36\/5, 3\/7, 0.11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3*r + 6*r - 3*p - 24 = -p, -4*r + 26*p = -190 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1564768 divided by -107\nAnswer: 14624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*j - 82 = -2*h, -40*j = 12*h - 10*h - 41*j - 54 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.3 - -2.31483. What is i rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 6*s**2 - 2*s**3 + 5*s**2 + 3*s - 2*s**3 + 1 to the form n*s + x*s**2 + i + f*s**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**4\/3 - 56*b**2. Let o(d) = -15*d. Give 3*o(q) - 5*w(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.97 - -0.03. Let h = -338 - -335.943. Let w = h + y. What is w rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -164 - -275. What is the remainder when q is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 44 + 31 = 0. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 712516?\nAnswer: 1425032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from roertee.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a41 - -3?\nAnswer: -1a3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7148*d - 7172*d + 768 = 0 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1138 - 541. List the prime factors of w.\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -432, -692, -996, -1356, -1784?\nAnswer: -2292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -114.5 in 6, 0.01, -2, -0.05?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 510229 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3243\/308 - 94\/77. Calculate the common denominator of ((-1)\/(-8))\/((-54)\/(-3576)) and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 5*m - 70, -110 = 5789*g - 5798*g - m for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3\/3 + 766*x**2\/3 - 15634*x + 120510 = 0.\nAnswer: 9, 65, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, -1\/8, 13 in ascending order.\nAnswer: -94, -1\/8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + 1*sqrt(171) + -1.\nAnswer: -1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**7\/840 - b**6\/80 + b**5\/20 - 5*b**4\/48 + b**3\/8 + 4*b**2. Let z(s) = 0. Calculate s.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 578946 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 6*g**3 + 27*g**3 + 1 - 28*g**2 + 0*g**3 as p*g + b*g**2 + j*g**3 + c and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43501985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w - 4. Suppose 6*d - d + 2*s = 19, -5*d - 4*s = -13. Suppose d*h = h + 24. Calculate the smallest common multiple of h and v(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j**11\/j)**(3\/4))**(2\/3) assuming j is positive.\nAnswer: j**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -437*y**5 - 36982*y**4 - 25282*y**2 - 87?\nAnswer: -26220*y**2 - 887568*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(448) - (2*sqrt(448) + -3))*-6 - -2*(2*sqrt(175) + 3 + (sqrt(175) + 0 + sqrt(175) + 4)**2).\nAnswer: 228*sqrt(7) + 1419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g - g)*(0 - 1 - 1) + 6*g + 7*g - 6*g + 0*g + g + g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5381, -5382, -5383, -5384, -5385?\n\"Answer: -s - 5380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/17*(-4)\/3 and 58\/7.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 229*i**3 - 3*i**2 - 12*i - 32. Let m(z) = 93*z**3 - z**2 - 5*z - 13. What is -12*m(k) + 5*s(k)?\nAnswer: 29*k**3 - 3*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 + 10112011?\nAnswer: 10110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 15?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*a = n - 239, -498 = -4*a - 6*n. Sort a, 6, -1.\nAnswer: -1, 6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -295 + 1166. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6 - (-8)\/3. Let n(z) = 14*z**3 - 3*z**2 - 12*z - 5. Let a(c) = -5*c**3 + c**2 + 5*c + 1. Let k(f) = -3*a(f) - n(f). Determine k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/6631848 and 79\/13263696.\nAnswer: 13263696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.213 + 15.13317. Let d = 32 - 31.92. Let y = o + d. What is y rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -494*v + 18 - 2*v**2 - 289*v - 18 + (-3 + 2 + 3)*(-v + v + 2*v**2) - 2*v**2 + 3*v**2 + v**2 + 0*v**2 - 2*v**2 + 0*v**2.\nAnswer: 2*v**2 - 783*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1211 or 1208?\nAnswer: 1211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9976*a - 229276. Give s(23).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157705*p = 157724*p - 122 - 49 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 6*(sqrt(396) + -1 + sqrt(396) + 3 + 6*(sqrt(396) - sqrt(396)*2)) + 1)*1)**2.\nAnswer: -4032*sqrt(11) + 228292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -407*n - 2302 - 1361 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 4 (c) 1.8 (d) -0.077 (e) 0.3 (f) -0.0663\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-7)*h**(-1))**(-50) assuming h is positive.\nAnswer: h**(-350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1331) - (0 + sqrt(1331) + 4)) + sqrt(1331)))**2 + -6*-3*sqrt(1331)*1 + 4 + -1.\nAnswer: 110*sqrt(11) + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 4. Let r(y) = y**2 + 10*y + 11. Let l be r(-9). Suppose -15 = -d - l*d. What is the remainder when b is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 14 = 2*f, -3*o - 8 - 1 = 3*f. Suppose 4*g = w + 7, -f*w + 9*g - 6*g = -11. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -565, -560, -545, -514, -461, -380, -265?\n\"Answer: o**3 - o**2 + o - 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**3\/3 + 1. Let z(n) = -n**2 - n + 1. Let v(h) = h**2 - 6 + 7*h - h + 7*h**2. Let r(g) = -v(g) - 6*z(g). Give r(i(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11634631 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*f = 3, -5*w + 66*f - 5 = 69*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -265074, 1\/25, -5?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**4\/24 + 2*k**3\/3 - 7*k**2. Let c be y(4). What is the third derivative of 3*f**2 - c*f**6 - 15*f - 8*f + 23*f wrt f?\nAnswer: -960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808332 is divided by 784?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 + -0.08. Suppose 4*t + 3*v - 154 = 0, 4*t + 50 = 5*v + 188. Let z = t + -186\/5. Which is the second smallest value? (a) z (b) d (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + 2*v**4 - 3*v**4)*(15 - 12 - 9 + (-5 + 6 + 0)*(0 + 0 - 2)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imzzdiyzimz. What is prob of sequence dz?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 599, 1273, 1961, 2669, 3403?\nAnswer: 4169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*((-1826)\/(-44))\/(-83).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*(-115)\/(-414)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.3571 + -6.35534. Let u = 0.33 - 23.33. Let z = r + u. What is z rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 153 - m - 158 - 3*m in the form l + f*m and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 12 - 32 - 6*s**2 + 8.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.05, -2, 1\/4, 2 in ascending order.\nAnswer: -2, -0.05, 1\/4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(78)\/(sqrt(6) - (-2*sqrt(18))\/sqrt(3)) + (2*sqrt(13)*3 - (sqrt(156)*-1)\/sqrt(12)))*4.\nAnswer: -88*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -593 equal to -595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*k - 2 = k, -2 = -v - k. Suppose -23 - v = 3*d. What is the tens digit of (-6)\/(-9)*(-2)\/(d\/294)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z**2 - 182*z + 896. What is f(5)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -284649835 rounded to the nearest 1000000?\nAnswer: -285000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 4*s - 10. Let t be b(-8). Let j = 3 - -8. What is the highest common divisor of t and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 divided by -92?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-40)\/15)*-2. Let g be z\/(-18) - 164\/(-24). Solve -q + 2*y = -7, g = 5*y + 32 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1122\/539)\/(14\/((-13720)\/210))?\nAnswer: -68\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24.19 + -0.19. Let o = f - 29. Let g be -1 + 3\/4 - 0. Which is the closest to g? (a) 2\/5 (b) 3\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 102, 98, 84, 54, 2, -78, -192?\n\"Answer: -c**3 + c**2 + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (683*t**2 - 2065*t**2 + 685*t**2 + 697*t**2 + 53039*t**4)*(5 - 3 - 1) to the form z*t**3 + i*t**2 + q*t**4 + v + o*t and give q.\nAnswer: 53039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6610 is divided by 266?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-12)\/54)\/((-3)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 12*z**3 + 1658*z**2 - 4803*z - 1270. Calculate a(-141).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2366597223.\nAnswer: 3, 87651749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 1:26 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221 + 12?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, g: 2, c: 13, f: 1}. Give prob of sequence fw.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889 + 2368 + 901 = -198*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*-2*6)\/(sqrt(84)\/((sqrt(84)*1)\/sqrt(7))).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 21025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 + -606\/7. Let z = 5646 - 84599\/15. Calculate the common denominator of n and z.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123132\/7 + -17590. Does -1.2 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 24. Let i be -1 + 10 + y*-2. Sort i, -4, 0 in ascending order.\nAnswer: -4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k**2. Let c(g) be the third derivative of -1\/24*g**4 + 0 + 0*g + 0*g**3 + 9*g**2. What is s(c(v))?\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*u, -2*u + 4*u + 150 = -4*c. Let t = 65 + c. Suppose z = -0*z - 2*w + t, -4*z + w + 86 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 150\/197 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-634)\/(-951)*(-6532)\/(-2)*174\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 0) + (-14)\/14. Find the second derivative of 18*p**2 - 8*p**2 - 10*p**2 - 7*p - u*p**4 wrt p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3*0 + 4. Suppose -7*y + f*y = 0. Let w(z) = 2*z**2 + 2*z - 2. Let p be w(-2). Solve 5*l + p + 3 = y for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3104 + 112096.\nAnswer: 108992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 0*l**4 + 0*l**2 - 3 + 1\/5*l**5 - 2\/3*l**3 + 0*l. Find the third derivative of w(n) wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 less than or equal to 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/30 + 5*j**4\/24 - 17*j**3\/6 - 30*j**2. List the prime factors of q(9).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 19*l + 159 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6134366 - 14?\nAnswer: -6134413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - v + 33 = 20, -79 = -4*j + 5*v. Calculate the smallest common multiple of j and 1156.\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 10) to base 5\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 5 = -4*i. Is 5 a factor of (-342)\/(-30) - 2\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -16*f**3 + 1068*f**2 + 298*f - 2013. Calculate w(67).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 499*l**2 - 160*l - 1840. Is n(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.9, 4, 8977, -4 in increasing order.\nAnswer: -4, -1.9, 4, 8977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/7605 and 71\/53742.\nAnswer: 806130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 5.4. Let b = -0.4 - k. Let h = -5 - -7. Sort h, b, -1 in descending order.\nAnswer: b, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 29. Let v = 46 - 21. Calculate the remainder when v is divided by h(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 7691061?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.33 (b) 3 (c) -4\/3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**6\/6 - 3*f**2\/2 - 5*f. What is the first derivative of b(u) wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 2*w - w + 5*g, 20 = -4*w - 2*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (27 + -29 - 55).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 10. Let k be x*8\/9*-3. Is -2*(0 + 60\/k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 4*y + 5*y + 3)*(2 - 1 - 2 + (1 - 4 + 4)*(1 - 1 - 1)).\nAnswer: 6*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9913 is divided by 4476?\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 10 = -5. Suppose 4*j + 5*x + 13 = 0, 0*x - 20 = 4*x. Calculate the lowest common multiple of (17\/(-5) + j)*n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*g - 112*g - 246*g.\nAnswer: -274*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 15 = -1. Let w = -38.64 - -38.24. Which is the nearest to 1? (a) 2\/7 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 0, 4*x - 3*w = 2*x + 120. Let a be (16\/(-10))\/((-4)\/10). Suppose a*f + 0*f = x. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**4 - 201 - 11*k**2 + 395 - 227*k - 194 wrt k?\nAnswer: -36*k**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53.7, 1\/5, 0.5.\nAnswer: -53.7, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + s**2 + s + 4. Let l be j(0). Suppose -l = -4*y + 3*u + 28, -y + 8 = 2*u. What is the smallest common multiple of 34 and y?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23986, -33, 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, w: 1, j: 1, z: 8, f: 2}. Give prob of picking 2 j and 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 3. Let q = -2 - n. Suppose q - 2 = m. Solve -r + m = -2*l - 0*r, 0 = -l + r - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-18)\/(-24))\/1)\/(1\/84) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2119\/(-93236))\/((4\/(-30))\/(232\/(-145)))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5019 - 2940. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 7.72164?\nAnswer: -7.42164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = 3*y, 2 = 3*y - 5*i - 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -129.5 (b) 3 (c) -1\/17 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203321 + -2?\nAnswer: 203313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20263 in -2, -1, -2\/5, -18?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 999 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*n, -5*f - 5*n - 31 + 6 = 0. Calculate the remainder when (-2)\/f + (-146)\/(-4) is divided by 40\/3 + (-24)\/72.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1284, -2562, -3814, -5028, -6192?\n\"Answer: 2*o**3 + o**2 - 1295*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 + -58)\/(0 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/17 + 116986*r**2\/17 + 701970*r\/17 + 1052982\/17.\nAnswer: -2*(r - 58499)*(r + 3)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*x + 23, 3*z - 2*x - x = -9. Suppose 4*t + 4 = 3*b - 18, z*t = -8. Solve 0*v = 2*v - 2*q + b, 2*q - 8 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5730 - (-15)\/5) + 4 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63790477*f**2*x**2 - f**2*x - 1027*f**2 + 28*f*x + 3*f - x - 1 wrt x.\nAnswer: -127580954*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 l, and 1 r when three letters picked without replacement from fgsrl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -61. Solve c*b = -2*j - 8, 2*j + 7 = -3*b + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -200*g + 8 - 11*g**2 + 200*g to the form t*g + y + o*g**2 and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -4 - (4 + -2 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -192557, -385115, -577673?\n\"Answer: -192558*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6 + 2 - 10 + 3*i. Let m = -79 - -81. Calculate the lowest common multiple of f(2) and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39301163 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - 86*g**2 - 88*g + 3. Let b be a(44). Solve 0 = d - 3*d - u - 4, -b*d - u - 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zxzzzzzzxzx.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*w**2 + 48*w - 241*w**2 - 48*w - 87*w**2.\nAnswer: -271*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 10*x**5\/9 - 268*x**4 + 5062*x**3\/9 + 15644*x**2\/3 - 20408*x\/9 - 49712\/3 = 0?\nAnswer: -3, -2, 2, 26\/5, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5*(sqrt(432) + sqrt(432)*1) - sqrt(432)) + 4)**2 + 0 + (sqrt(33) + sqrt(132)\/sqrt(36))\/(sqrt(77)\/(sqrt(7) + sqrt(7) + sqrt(28))).\nAnswer: 664*sqrt(3)\/3 + 34993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -0*l - 15. Calculate the greatest common factor of l and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -32*r + 4. Suppose o + 3 = 0, 1020 - 1039 = h + 5*o. Let z(i) = 32*i - 5. Determine h*z(u) - 5*t(u).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -139*j**7\/7 - j**4\/4 - 905*j**3\/3 + 73. Find the third derivative of p(l) wrt l.\nAnswer: -16680*l**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*x + 5 = 0, 54*w - 55*w + 4*x + 4 = 0. Solve w*g - 5*g + 5*h = 10, h - 2 = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21191407248 take away 0.3?\nAnswer: -21191407248.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/48*(-3)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -5\/3 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11512875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 2:07 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12288 (base 14) in base 13?\nAnswer: 172a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 8) to base 11\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 7 = -9*z. Let n(q) = -1198*q**3 - 703*q**3 + 27 + q + q**2 - 28. Let v be n(z). Round v to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -24*k - 113. Determine p(31).\nAnswer: -857","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1040.589*90.\nAnswer: -93653.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -743, 8\/7, -1\/10, -3, -0.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146 - 144186.\nAnswer: -144332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 5*u**3 + 2*u - 2*u.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2516 - 181. What is the remainder when a is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 750.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -52781, -52812, -52863, -52934, -53025, -53136, -53267?\n\"Answer: -10*m**2 - m - 52770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*i - 60 = 72*i. Suppose 0 = i*w + 218 - 743. Differentiate w*q**3 - 23*q**3 - 18*q**3 - 11 with respect to q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238952805 take away -4?\nAnswer: 238952809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 7*p + 1 - 589*p**2 - 3*p + 590*p**2 - p**3 as c + a*p**2 + k*p**3 + x*p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 217 + 407. Let k = c - 179. Let x = k + -42. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 286938*b**2 + 36*b + 148.\nAnswer: 573876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-6)*(-12)\/54*-12. Suppose -l - g*y = 9, 43 = 5*l + 4*y + 8. Which is smaller: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 1\/24*z**4 + 0 + 0*z + 2*z**2 + 5\/3*z**3. What are the prime factors of u(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, g: 2, w: 1, u: 2}. Give prob of sequence gmu.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27269 - -27276. Which is the third smallest value? (a) 0.02 (b) 1\/2 (c) -1\/3 (d) q (e) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76346645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 12*r + 5. Calculate the remainder when a(11) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -27, -12, 3.\nAnswer: -27, -12, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwafsaw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 10*y**2 + 6*y + 17. What is the remainder when k(9) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1581, 1579, 1577?\nAnswer: 1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -6, -2, 163442, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.66 - -1.16. Suppose 0*h + 4 = h. Let i = 68\/3 + -23. Which is the second smallest value? (a) m (b) i (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*15\/9*3. Let r = d + -1. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311 (base 7) to base 16.\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q**2 + 2*q**2 - 5*q**2)*(1552 - 248 - 25 + 985)*(4*q + 0*q - 3*q) to the form g*q**3 + k*q + a + j*q**2 and give g.\nAnswer: 2264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(168\/16)*1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) 0.5 (b) -2\/9 (c) 2\/9 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1458 - 46.9542. Which is the second smallest value? (a) 5 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -162*b**2 - b + 1. Let k be q(1). Let p = 72 - k. Suppose 2*w - d - 4*d = 131, 3*w = -5*d + p. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)*(6 + -4). Find the third derivative of -u - 4*u + v*u**3 + 5*u - 2*u**2 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234 = 4328*s - 8649*s + 4330*s for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -5*g + 27, 11*g + 3*v + 9 = 14*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 23*t = -22*t - 9, 5*m = 2*t + 36. Let z(r) = r**3 - 6*r**2 + 7*r - 15. Determine z(m).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 + -120?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -249357?\nAnswer: 4488426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/9))\/(d*d**3*d*d))\/(d\/d**(1\/3))**(-47)*(d**(2\/9)\/(d*d*d**7))**(-48) assuming d is positive.\nAnswer: d**(4031\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6355*b - 3684 = -6270*b + 396 for b.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00500634 rounded to 5 dps?\nAnswer: 0.00501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 8*h + 156 = 22*h, -12 = 2*w + 68*h - 70*h for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 25*b - 22. Calculate n(-26).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 15. Suppose 3*f + 2*n = 41, 2*f + 134*n - 40 = 139*n. Determine y(f).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + s + 3*s + 17 = 0, 2*p + 8 = -2*s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -2635, 2, 229, -2, 4 in descending order.\nAnswer: 229, 39, 4, 2, -2, -2635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 14 = 4. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oftodxf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 12 + 83 = z, 205 = -5*a - 3*z. Let v = a + 1. Does 8 divide -2 - -6*(-1 - v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 7\/2 - 1287\/(-6). Let f(j) = -m - 42*j - 216 + 428. Let w(b) = -b**2. What is w(f(k))?\nAnswer: -1764*k**2 - 168*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.169655 + -23.166. What is c rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*y + 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1128806593 to 5 decimal places.\nAnswer: 0.11288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 377 - 721. Let x = -197 - b. Suppose g - t = 38, 4*g - 4*t - x = t. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*11\/((-308)\/72). Let l = a - -13. Suppose r + 5*g + 14 + 0 = 0, -14 = -5*r + 3*g. Sort -2, l, r.\nAnswer: l, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 = 0, 62 + 18 = 4*f - 4*n. What is the remainder when 458 is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 814270 - 529389. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*r**2 + 21 + 28*r**4 + 7 + 20*r**2 wrt r?\nAnswer: 672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**2 - 7*l**4 - 2*l**4 - 2*l**2 - 9*l**2 wrt l?\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 125 = -5*j, -5*t = -0*t - 16*j + 5*j + 243 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**6\/24 + 13*r**5\/20 - 11*r**4\/8 + 213. Determine t so that p(t) = 0.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/2))\/(i\/i**(1\/3))*((i*i**0)\/i)**(-1))**(3\/32) assuming i is positive.\nAnswer: i**(5\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16201250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o**2 - 66*o + 301. Calculate h(5).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87921?\nAnswer: 3, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r - 2*r + r)*((-2*r - r + 4*r)*(-40 + 22*r**2 + 40) + 0*r**3 + 5*r**3 - 4*r**3) to the form n + f*r**3 + i*r + z*r**4 + m*r**2 and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - -1. Let l = -0.4 + b. Suppose 21*z + 129 = 234. What is the closest to -1 in l, 2\/7, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 8:03 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p**(2\/3)\/p*p))\/p))**35\/(p\/(p\/p**0)*p\/(p*(p*p**(-5))\/p))*(p**7\/(p\/(p\/p**(3\/7))))**(-2\/97) assuming p is positive.\nAnswer: p**(108364\/2037)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.8 + -5.8. Let q be (-14)\/35 - 32\/(-5). Suppose -16 = 4*p + m - q*m, -4*p + 8 = m. Is t at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -50, -84, -130, -188?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -87 + -5b2497?\nAnswer: -5b2551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/((-42)\/4)*14\/(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 76*i**2 + 1. Let x be o(1). Let u be 286\/x - 4\/(-14). What is the units digit of (6\/u)\/((-3)\/(-134))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 5, -25 in descending order.\nAnswer: 5, 4, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -1)*(-89)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(5\/8)\/j)\/j**(-1\/2)*j\/j**(8\/9)*j**(-19) assuming j is positive.\nAnswer: j**(-1279\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 189 divided by 27\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*u**4 + 18440*u**2 - 560442.\nAnswer: -148*u**3 + 36880*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 24. Let u = -14.7 + 14.57. What is the biggest value in 0, u, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 4*a**3 - 3*a**3)*(-a**2 + 5*a**2 + 3*a**2) - 127*a**2 + 37*a**5 + 127*a**2.\nAnswer: 16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-18)\/(-5))\/((-2)\/(-60)) and -36 - (-21684)\/182 - 12\/(-14).\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrmmmr. Give prob of picking 3 r and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hgrz when four letters picked without replacement from hwzrwgf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -5 (b) -2\/15 (c) 35\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 354450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -231 - -234. Suppose 7 = -2*s - 4*p + 23, -4*p + 16 = -3*s. Which is the closest to s? (a) 12 (b) -2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -71. Let s = 32 + m. Which is the third biggest value? (a) 1\/4 (b) 2\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + -0.43. Let z = s - 5.07. Is z >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m + 2. Let g(b) be the first derivative of -5*b**2\/2 + 2*b + 3. Calculate -5*g(t) + 6*v(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -77, -116?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 36*g - 1035. Determine l(40).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.76 + 1. Let s = -4.74 + h. Let c = 4.49953 + s. What is c rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10553 divided by -10553\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:09 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179308268?\nAnswer: 2, 44827067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030.36 rounded to the nearest 10?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -2. Let d(a) be the first derivative of -a**3\/3 - 3*a**2 - 3*a - 3. List the prime factors of d(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kquukqlqqkuqqvqkl. Give prob of picking 1 l and 1 k.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 198 and -763829?\nAnswer: 764027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1130*s - 3 = -1127*s, 7*k - s = -27 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 257737 times 155\nAnswer: 39949235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153 + -1375\/9. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 11:48 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -0*h + h + 15, 5*h = -q - 27 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 620, 6, -0.3, -30?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k. Let a(q) = 74*q - 74*q - 7*q**2. Let d(c) = -3*c**2. Let y(g) = 4*a(g) - 7*d(g). Calculate r(y(f)).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170445 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(8 - (-105)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, 1288, 2898, 5152, 8050?\nAnswer: 11592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5945619 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 166734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -17650*m - 17635. Determine q(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26830205 is divided by 169?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 2*f - 2. Suppose -14*a + 10*a - 12 = 0. Let g be m(a). Let r(n) = 6*n + 1. Is r(g) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one eighths of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -121, -162, -181, -172, -129, -46?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33291 and 3559397.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4160 a factor of 21987948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n**2 - 452*n - 1314. What is x(-59)?\nAnswer: -2494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2472*f*p**2 - 4*f*p - 28*p**2 + 21*p + 2 wrt f.\nAnswer: 2472*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1003 + 9\/(81\/(-117))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/(-4) - (-7)\/(-28). Let a be (-2)\/10 + 1 + 0. What is the nearest to a in v, -2\/25, -2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69447279\/31 or -2240236?\nAnswer: -69447279\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + f**3 - 2*f**5)*(1 + 1 + 0)*(-20 + 3 - 4) + 69*f**5 + 0 + 4 - 78*f**5 + (-f**2 + f - f)*(-2*f**2 - 2*f**3 + 2*f**2).\nAnswer: 77*f**5 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 40, -79 in ascending order.\nAnswer: -79, -4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) 0.2 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, y: 1, n: 1}. What is prob of picking 2 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 8 + 200 = 0. Is (r - 3 - -15041) + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19115310?\nAnswer: 2, 3, 5, 17, 37, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6928542.41 rounded to the nearest one hundred thousand?\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-10)\/(-4)*-2. Suppose -31*y = -17 - 45. Let k(s) = -2 + 19*s**y - 32*s**2 + 14*s**2 - s - 2. What is k(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4420 and 267752550.\nAnswer: 535505100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-1 + -4 + 4)) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1298*p**3 + 4 - 1271*p**3 + 2616*p**3 - 4.\nAnswer: 47*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 14*h - 2. Let u be ((-2)\/(-4)*0)\/(-2). Suppose -55 = 2*k + 3*k + m, u = -k - 4*m + 8. Determine l(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3595 + 3592. What is the nearest to 2 in 27\/5, u, 0.06, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128 + 84?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j + 0 + 9*j**2 + 0*j - 4*j + 2. Let l be v(6). Suppose l = -2*i + 4*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 9*j**2 + 1 - 11*j**2)*(-11*j**2 - 69 + 69).\nAnswer: 22*j**4 - 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 18 = 4*a, -14*l = -10*l - a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3 + d**3 - 1372*d + 1381*d + 0*d**3 + 10*d**2. What is s(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -3) + 6 - 3. Sort k, -3, 0 in descending order.\nAnswer: k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -490 and 1222.\nAnswer: -598780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -7*s + 3*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142357383.\nAnswer: 3, 7, 59, 38299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 10, -2*r = 5*z + 17 - 2. Let b be 0 + 1 + 10\/(-8). Is r greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u**2 + 3*u - 3. Let q(p) = -24*p**2 + 10*p - 10. Let a be 16 - (2 + -15 + 23). Calculate a*q(r) - 20*t(r).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000436625 to 6 dps.\nAnswer: 0.000437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1638*m + 737*m = -154*m + 349*m + 117720 for m.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 17. Suppose -3*f - f + 16 = n. Suppose 0 = -r + 3*r - f. Solve -r*o + 0*o + 8 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 64*j = 51350. What are the prime factors of j?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 7693 in decreasing order.\nAnswer: 7693, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**3 + 26*q**2 - 10*q - 18. What is i(6)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u**2 + 59*u - 202. Let x(r) = -300*r**2 + 1590*r - 5455. Let a be ((-12)\/(-21))\/(7 - 376\/56). Let l(m) = a*x(m) - 55*z(m). Solve l(v) = 0.\nAnswer: 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 6*t - 10. Suppose 4*c - t*s - 13 = -c, -4*c - 2*s - 4 = 0. Suppose -z + 1 = -c, 0 = 4*q + 4*z - 104. What is the greatest common factor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1638 by 42.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -372, 4.\nAnswer: -372, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129440 + -129437. Let p(u) = u + 6. Let y be p(-4). What is the greatest common factor of y and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/4 and 41\/94.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3844*o**4 - 2*o**3 - 500*o - 20756009 wrt o?\nAnswer: -15376*o**3 - 6*o**2 - 500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46892?\nAnswer: 2, 19, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145 divided by 715?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {g: 4, x: 1, h: 3, l: 4, t: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 891*j + 248*j - 60718 = 22429 for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 12. Factor 3*y**2 - 4*y**3 - 6*y + x*y - y - 11*y**2.\nAnswer: -4*y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*m**6 - 3*m**3 + 21*m**2 - 5*m wrt m.\nAnswer: -6000*m**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 6*z**2 - 7*z + 7. Let q be 2 - 18\/(-1)*-2. Let o be (-6)\/(-21) - 187\/(-7). Let f = o + q. Calculate s(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -1\/7 (c) -0.3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -203*x - 211. What are the prime factors of k(-22)?\nAnswer: 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h - 27. Let a be g(16). Let u = 92 - a. Calculate the remainder when 45 is divided by u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**5 - 138*r**4 + 1092*r**3 - 306*r**2 - 4455*r - 2916 = 0.\nAnswer: -1, 3, 9, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 2*k**2 + 4*k. Let j be n(3). What is the second derivative of h - j*h**5 - h - h + 2*h**5 wrt h?\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(91)*-4*-1)\/((sqrt(70) + (2*sqrt(70) - sqrt(70))*-5)\/sqrt(10)).\nAnswer: -5 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-1))\/(3\/9). Suppose 9*y - 9 = 45. Suppose y*x - 75 = 21. Solve 2*q + 2*j - 5 = -17, j + x = -c*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-190)\/(-1140) - ((-35)\/(-120))\/(172\/16).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -9 - (-99 + 65 + -14)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 3701538.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 687*j - 691*j - 51, -y + 3*j + 52 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2\/k)\/k*k)**(-14)*k**(-1\/3)*k**1*(k**(2\/7)*k*k**(-3))\/(k**8\/((k\/(k\/k**(2\/3)))\/k)) assuming k is positive.\nAnswer: k**(-491\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from xuxxxxuuuuudluxx?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(17) + sqrt(153)\/(1*sqrt(9)).\nAnswer: 3 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6322000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 110 = 80. Suppose 0 = -f*m + 70939 + 23015. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j + 17*j**2 + 0*j + 32*j**2 - 7*j - 3*j to r*j**2 + f*j + o and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 418 - 385. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = 2. Suppose 154 = -c + 4*j + 625, 0 = -3*c - j + 1491. Suppose -c = -d*z + 87. What are the prime factors of z?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3608 - 14431\/4. Sort -5, m, 11, 6\/5 in descending order.\nAnswer: 11, 6\/5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddddddddlddd. Give prob of sequence ddld.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 16. Suppose -h + 3*l = h - 13, -4*l + 44 = o*h. Calculate the remainder when 13 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/11 and 13\/2091?\nAnswer: 23001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.24 and 58?\nAnswer: 419.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 28*q - 18 - 85*q - 20*q. What is the units digit of w(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/5, 3, -314?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4630594 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-15)*(-28)\/189*45\/(-6).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -556 - -561. Solve 2*i = w + 5, a*i + 2 = -4*w - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/5))\/(s\/s**(-3)))**(1\/73)*((s\/(s*s**(-5)))\/(s\/(s**3\/s)))**45 assuming s is positive.\nAnswer: s**(98533\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 6:33 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34997.0741 rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -16. Let d(i) = i + 4. What is d(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-3*sqrt(49) + sqrt(49) - sqrt(49)*1*3)\/((sqrt(77)*-1*-1 + sqrt(77))\/(sqrt(132)\/(sqrt(12) - 2*sqrt(12)))))**2.\nAnswer: 2023\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16724290*o - 43621112 with respect to o.\nAnswer: 16724290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6332 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -2\/7, 3, 8.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4687958 a multiple of 818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 838 + -1543. Which is the fourth smallest value? (a) g (b) -2\/9 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*r + 13 - 4 + 60*r)*(-1 - 17 + 7).\nAnswer: 22*r - 99","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 117623406 to the nearest one hundred thousand.\nAnswer: 117600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5447 - -2?\nAnswer: -5445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18201881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 451 = 2*f - 2*h, 1317 = 3*f + 3*h. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 4. Let p(j) = -285*j - 6. What is 2*d(y) - p(y)?\nAnswer: 287*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**3\/3 + 25*c**2\/2 - 19*c. Let q be y(-6). Suppose -q*d + d = -3804. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*k - 17, -2175*k + 2176*k = 3*p - 1. Let h(y) be the second derivative of -2*y**p + 0 + 1\/4*y**5 - 42*y + 2\/3*y**3 + 13\/12*y**4. Factor h(u).\nAnswer: (u + 1)*(u + 2)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 674 + d**3 - 3*d - 672 + 10*d**2 + 4*d**2 - d**4 to q*d**4 + g*d**3 + l + x*d + b*d**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(22)*-1 - sqrt(22))\/sqrt(11) + (sqrt(2) - (sqrt(98) + -1))**2.\nAnswer: -13*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -162*d**3 - 293*d**4 - 165*d**2 + 97*d**4 + 199*d**4 = 0. Calculate d.\nAnswer: -1, 0, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91\/15 + -27\/5. Let r(x) = x**3 - 2*x**2 - 3*x + 2. Let p be r(3). Do p and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2)\/(98\/343 + (-108)\/(-112)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k - 32. Let m be r(13). Suppose 3*q - 9 = -u, 7*q - m = 2*q. Is 2 a factor of 106*u\/(-12) - (-6)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - n - 55 = 0, -33 = 5*i + 3*n + 52. Let y = -20 - i. Suppose r + 2 = 2*x + 1, -x = 0. Put y, 4, r in decreasing order.\nAnswer: 4, y, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (136\/40 + -7)*150\/9. Let d be -4 - ((-1)\/6)\/(w\/(-1520)). What is the biggest value in d, -3, -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 r when three letters picked without replacement from rccc?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9455685727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 = -96*a - 251 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzm when three letters picked without replacement from zmraumzmmarurammmr.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -112456 (base 7) in base 10?\nAnswer: -20131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011 + -10011111010011100?\nAnswer: -10011111001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*k + 2*k + 43, s + k - 19 = 0. Suppose -6*l - 4*j - s = -8*l, -20 = -5*l + 2*j. Solve 0 = 3*w - l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -50, -198, -488, -968?\nAnswer: -1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23674, 9, -5, 1, 5.\nAnswer: -5, 1, 5, 9, 23674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*g**2 + 4*g**2 - 2 - 3*g**2)*(37 + g - 37) + (-g**2 + 3*g**2 + 0*g**2)*(6*g - 4*g - 3*g) to b*g + h + m*g**2 + n*g**3 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6040 and 30200?\nAnswer: 30200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 2*h + 7*h - h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40824 and 5346?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 16 - 3 + 2 + 0 + 1 + 2 - 5 + (-3 + 3 - 2)*(0 + 0 - 2) + 1 + 2 - 5 + 0 + 2 - 4)*(2*w + 6*w - 3*w).\nAnswer: -75*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167715863?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-18))\/(12\/216). Suppose -6 = -q + 2*u, 0*u + 36 = 4*q + p*u. Calculate the greatest common divisor of 152 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, g: 1, r: 1, b: 2, w: 6}. Give prob of picking 2 w, 1 h, and 1 g.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. Let r = -1 - v. Suppose r = 3*l - l - 6. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.25 - 0.05. Suppose 4*w = -3*j - 11, 5*w = w + j - 7. What is the closest to 1 in u, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*r*z**3 + r*z**2 - z**6 - z**3 - 25*z**2 + 4*z wrt z?\nAnswer: -30*r - 120*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 0.1, 8, 3, -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 - 7\/14*-10. Let b(g) = g**2 + 12*g - 8. Let m be b(-12). Sort r, 4, m, 5 in ascending order.\nAnswer: m, r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7373 (b) 4 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1044 by -261.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 15*g - 25. Let s be u(-10). Let z = 56 - s. What is the remainder when 60 is divided by z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5958 by -993.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3408551?\nAnswer: 17, 37, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4539)\/(-136) - (3 - -30)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 666553 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -27*z**3 - 6*z**2 + 4*z + 33. What are the prime factors of s(-3)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z + 3. Determine g(9).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 4. Let k be (-4)\/8*22\/s. Which is smaller: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -17, -60, -143, -278, -477, -752?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*q + 108, -17*l + 432 = -13*l + q. What is the remainder when 201 is divided by l?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and -0.058?\nAnswer: -0.00232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 187418 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17355 = -14*d + 7285. Does 110 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 132*y. Let n(s) = s**2 + 13. What is h(n(c))?\nAnswer: 132*c**2 + 1716","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(11*g + 13 - 13).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189200787.\nAnswer: 3, 59, 1019, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*a + 2*x, -3*x - 31 - 5 = -3*a. Suppose 4*s = 4*m + 12, -3*s - a*m = -3*m - 9. Is s at most 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232861444 to the power of 1\/3, to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 70 - (-1 + 18 - 1 - (-108 + 69 - -43))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, l: 7, w: 1}. What is prob of picking 1 h and 1 w?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6.1 (b) 92 (c) 1.4 (d) 9 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -372 - -392.6. Round a to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -30619393\nAnswer: -36\/30619393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -11*o - 72. Let s be j(-7). Calculate the common denominator of -117\/10 and (3 + (-38)\/12)*(-219)\/s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 + 198460*f**2 + 396905*f + 198450 = 0 for f.\nAnswer: -39690, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 49. Let h = 7 + -4. Solve -h*k = -5*i - 2*k - 20, -3*i = l*k + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 11832?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1333 + -1354. Put 0, -4, i, 0.06 in descending order.\nAnswer: 0.06, 0, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5)**(-35)*(n**(-20\/3)\/n*n)**38 assuming n is positive.\nAnswer: n**(-1285\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(-4))\/((-2)\/2))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q = -72 + 4 + 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21, -43, -67, -93, -121?\n\"Answer: -m**2 - 19*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*f + 66*f**2 - 2*f**3 + f**3 + 2 + 54*f**2 - 121*f**2 + 3*f**3 to the form g*f**3 + d*f**2 + i*f + w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bfkp when four letters picked without replacement from bkfkgtppb.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27292 divided by 13646?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.718899 rounded to 3 decimal places?\nAnswer: 0.719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47968.\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1530 divided by 5.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19*(-78)\/(-114) - (36 + -9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 12070*u - 1592. What are the prime factors of s(2)?\nAnswer: 2, 3, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2613315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9aa + 57?\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4883424*x**5 - 4708330*x?\nAnswer: 97668480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 541 (c) -0.04701\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*m = 2, -2*n - 2*m + m + 6 = 0. Suppose -174 = -5*a + n*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z + 43 + 22 = 31. Let w be (-22)\/2*(-12 + 11). Which is the closest to z? (a) -1\/4 (b) w (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5387540 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 69.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c0f (base 16) in base 15?\nAnswer: dac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 179940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - s. Let m be h(2). Let r(g) = 2*g - g - 5 - 3 + g. Let v(o) = 4*o - 17. Determine m*v(k) - 13*r(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 + 84. Sort -0.2, 2, 2\/9, l in decreasing order.\nAnswer: 2, l, 2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q + 197. Is 89 a factor of i(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023331 rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + m - 3*m)*(16884 - 16884 + 846*m**3) + (5*m**2 - 3*m**2 - m**2)*(-5*m - 2*m**2 + 5*m) + 0*m**4 - 2*m**4 - m**4.\nAnswer: -1697*m**4 + 846*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 86*y**5\/5 - y**4\/4 - 2*y**3\/3 - 25*y - 212. Find the third derivative of r(a) wrt a.\nAnswer: 2064*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96310618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*n - 30 = 0, 72*n = 5*w + 76*n - 66 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m**5 + 710895*m**4 - 3611676185*m**3 + 19075710285*m**2 - 26802904700*m + 6185004540 = 0. What is m?\nAnswer: 2\/7, 2, 3, 10153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 849291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102261611.\nAnswer: 23, 43, 103399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 3:38 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 243 + -d9?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 3*p - p)*(6 - 6 + p) - 5*p**2 + p**2 + 5*p**2 + p + p**2 - p + (p - 4*p + 5*p)*(5*p + 0*p - 4*p) + 1 - 2*p**2 - 1 + 4 - 4 + 2*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*b - 2*b + 24, -2*m + b = -9. Suppose m*o = 73 - 13. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 58?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-9) + 4\/36. Suppose i = 8*x - 3*x - 10. Let -2\/5*p**3 - 4\/5*p**x - 2\/5*p + 0 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 934406981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhhvvsshgsvsvpjv. What is prob of sequence phj?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*q + 8 + 4 = 0, -q + 5 = -7*x + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -6*m - 4*m. Solve 0 = 4*v - 4*d - 4, -3*v - 2*d + 3*d + m = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -731*f**4 - 642.\nAnswer: -2924*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 4*v + 4. Let m be q(-3). Suppose 0*a - m = -a. Let z = 33 - 31. Sort a, z, -4 in decreasing order.\nAnswer: z, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59971684271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 14*a**2 - 2*a + 30. Let j be t(14). Let l be (-9)\/6 - (-2)\/4. Let m = l + j. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z**2 + 2*z - 1. Let c(h) = -24*h**2 + h - 2*h + 29*h**2. What is -5*c(g) - 2*m(g)?\nAnswer: -3*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -402 - -575. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - f = -8961, 2*z - 4892 = -3*f - 1318. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -6\/1687, 0.2 in increasing order.\nAnswer: -1\/9, -6\/1687, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + 108. Let f be 4\/6 - r\/(-27). Solve n + 0*n - 2 = 2*h, 0 = -4*n + 3*h - f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9085 - 9077. Calculate the remainder when 768 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*q = 5*f + 223, 4*f + 401 = 3*q. What is the common denominator of (f\/(-160))\/(3\/(-25)*-2) and ((-15)\/18)\/(2\/(-10))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 2*a + 2. Let v be (-7 - -16)*1*-1. Let j be ((-8)\/(-6))\/(3\/v). Calculate the remainder when q(j) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q - 9. Let r be n(6). Suppose 0 = 8*v - 5*v - r. Calculate the greatest common divisor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -66830817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-30 - (-22 + 14)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -309, -303, -281, -237, -165?\n\"Answer: w**3 + 2*w**2 - 7*w - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53360.\nAnswer: 2, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 < 2\/21716821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*w + 592 = -67*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 135? (a) 0.06 (b) -4 (c) 4089\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 1. Let f(j) = -72*j - 25. Let w(n) = -134*n - 47. Let r(z) = 11*f(z) - 6*w(z). Calculate r(y) + 5*s(y).\nAnswer: 7*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 142262352?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25\/10)\/((-55)\/(-66)). Let u(y) = -8 - 25*y - 26*y - 2 + 72*y - 16*y. What is u(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 984796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*a**2 - 7*a**2 - 2*a**2 + 27*a.\nAnswer: -19*a**2 + 27*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = o + 15, 20*p - 21 = 21*p + 4*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 = 42*g - 56. Solve o + 194 = -k + 189, -3*k = -o + g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 = -3*j, -5*j = 3*x - j + 10. Suppose 0*q - x = -q. Solve 8 + q = 5*p + 4*f, p = f - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 55*s + 256 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/4 and 146\/(-8) + 6 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 254 - 252. Let d(x) = -k*x - 30339 + 30338 - 2*x. What is d(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30602)\/120 + (12 - 15). Let q = o - -1348\/5. Calculate the common denominator of q and 103\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47365 (base 11) to base 4\nAnswer: 100223123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 + 2*a + 3*a**3 + 67 + a**2 + 1 to the form v*a**2 + u*a**3 + t + x*a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 5*f - 3. Suppose 2*y - 5 - 1 = 0. Suppose w = -2*w, 2*a - y*w - 10 = 0. Suppose a*o - 3*h = -20 - 14, -4*o = h + 17. Determine m(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 6*g + 4*g + 4*g. Let j(c) = -3*c**2. Calculate j(f(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 + 644*l + 67218. What is v(-83)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11006873341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 - 2. Let w(a) = -45*a + 358. Suppose 3*d - 2*y = -5*y + 12, 48 = 5*d - 2*y. Let h be w(d). What is the closest to -1 in h, 1, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Let n be ((-4)\/(-8))\/(2\/8). Suppose -2 = -5*m + 3*v + 2, -2 = -f*m + n*v. Solve -5*b = -4*j + 5, 0 = -2*b - j + m*j - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*g - 4*p - 1143, 5*g = -p + 1893. Let a = -265 + g. Suppose a = 6*t - 5*t. What are the prime factors of t?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 163 + -172. Let v(b) = 2*b**2 - 7*b + 19. Let o be v(a). Round o to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/3, 0.3, -37, -134, -1?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.9697 + 20. Let p = l - -4.9697. What is the nearest to p in 0.1, -0.3, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.05, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 59*h**2 + 69*h - 537. Let w be s(60). Solve -r - 15*i = -12*i + 4, -w*r - 3*i = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6858, -15079, -23306, -31545, -39802, -48083, -56394, -64741?\n\"Answer: -h**3 + 3*h**2 - 8223*h + 1363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11305, -45090, -101393, -180214, -281553, -405410, -551785?\n\"Answer: -11259*m**2 - 8*m - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**3 - 34764*l**2 + 52*l - 142297092 wrt l.\nAnswer: -6*l**2 - 69528*l + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(-60)\/6. What is the tens digit of l + 23 + (-3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 7*w**2 + 3*w - 13. Let g be b(-6). Let j(a) be the second derivative of -4*a + 0 + 5*a**2 - 1\/6*a**3. Give j(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x = -6. Suppose -3*u + 2*m + 4 = 0, -3*m = x*u + u - 24. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204872 rounded to the nearest 1000?\nAnswer: 205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(((-3)\/(-2) - 1)\/(-2)). Solve -z + l*h + 6 = 18, -2*z = -4*h + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 93*z + 3269 - 34149. What is the remainder when z is divided by 60?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2))\/(c**39*c*c)*(c**(-2\/83))**11 assuming c is positive.\nAnswer: c**(-3508\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 17. Suppose 3*m - 4*o + o = -51, 5*m + 4*o = -40. Let a = 8 - m. Solve -6*w + a = -p*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.98 to 1 decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -980\/1139 - -34\/67. Sort w, -2\/9, 0.37 in descending order.\nAnswer: 0.37, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-4)*2)\/((-251)\/(-502)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 29*g**2 - 2*g + 1. Let y(k) = -k + 13. Let l(f) = 2*f - 15. Let j(t) = -4*l(t) - 5*y(t). Let b be j(-2). Calculate p(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200531399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/713 and -37\/279?\nAnswer: 6417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 193165.341 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 666\/27 + (-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2407510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (18 + 4) - (6 + 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 585 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000639261384 rounded to seven dps?\nAnswer: -0.0000639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2452380\/9 + 5\/15. Suppose 3*r + 45513 = -o. Round r to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 217? (a) 0.4 (b) 2\/15 (c) -1\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -18698213?\nAnswer: 18698211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*2\/4 - 29. Let t = 5 + w. Let l be 4\/(-10) - 165000010\/t. What is l rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**2 + 7. Let n(g) = -154*g**2 + 462. Let f(m) = -n(m) + 66*y(m). Let j(p) = -25*p. Give j(f(w)).\nAnswer: -550*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4325389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1*1)\/((-5)\/75*(-3)\/(-2))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -122, 7, 3, -0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 10:15 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 - 6 = 0, 2*v - 12 = -3*u. Suppose 11 = 2*g + v*s, 5*g + 3*s - s = 11. Let j be 0 - g - (-2 - 1). Solve -j*d - 4 = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k**2. Let v = 5 + -4. Let o be m(v). Is (-2)\/3 - (-452)\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 357 in ascending order.\nAnswer: 3, 5, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + ((-6 - -7) + -9 + 5 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 0*a - 1 + 0*a**2 + 2\/3*a**3. Let z(x) = 2*x**2. Determine s(z(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7318063 - -173603?\nAnswer: 7491666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1372 and 3052.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/7130 and 89\/14383970?\nAnswer: 445903070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.02, 4, 16, 32, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -4 (c) -0.1 (d) 13990.6 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 157\/72 - 21\/8. What is the second smallest value in -2, 5\/6, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(-1\/4)\/x)\/x)\/x)**27*x\/(x\/(x*x**10*x))*x**(-6))**(-6) assuming x is positive.\nAnswer: x**(981\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*x**2 - 2845*x - 85170.\nAnswer: -5*(x + 34)*(2*x + 501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1419 and -0.4.\nAnswer: -567.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 21*t. Let m = -367 + 646. Let h(c) = -279 - 2*c + m. What is h(p(j))?\nAnswer: -42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q**2 + 105*q**2 - 5*q**3 - 38*q**2 - 2 - 19*q**2 - 26*q**2.\nAnswer: -5*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*16800\/(-180). What is the greatest common divisor of r and 4732?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2974 + -2865. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*x**6 + 17*x**4 + 1358*x**3 - 152460842*x**2 wrt x?\nAnswer: -2040*x**3 + 408*x + 8148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1374*r - 1334*r + 6784*r - 1340*r - 1359*r - 1346*r.\nAnswer: 31*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -1457 - 531. Is 92 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -618, -612, -606, -600, -594, -588?\n\"Answer: 6*h - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-328)\/22 - (-132 - -16 - -102)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*20\/(-30)*2025\/2250.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p. Calculate n(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*5\/((-30)\/8). Suppose 4*m - l = -u, -4*m + 4 = -m + l. Solve m = -2*c + c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**3 - 90*l**2 + 120*l + 1344. What is x(28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 7:41 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 4*t + 6*t. Suppose x - 13 = -4*x - 3*c, -x - 5*c + 7 = 0. Let d(q) = x*q - 236 + 236. Determine d(l(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010137 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*a + 344*a + 177 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/126 - (-36)\/(-162) - 22\/(-330)*-10?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5176 and 2507772?\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 13. Let p be 6\/b + (-34)\/(-8). Let m be (46\/92)\/(2\/16) - 2*-38. Calculate the highest common divisor of m and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 267419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 8. Let c = -13 + 12. Let t = 7 + c. Let n(y) = -2*y - 15. Determine t*n(p) - 11*r(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 + -5488307509\nAnswer: -5488307509.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011011100 (base 2) in base 13?\nAnswer: -1968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 + 0.2. Let c = a - 0.07012. What is c rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -871 - 1330?\nAnswer: -20a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -4 + 7 + -7 + (-8 - -16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 21*u**2 + 11*u - 4. Let z be g(1). Calculate the greatest common divisor of z and 1862.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.55 + 7.448. Round j to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1465531 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1455495 minus 5?\nAnswer: 1455490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1264, 1273, 1282?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15075457 times 4\nAnswer: -60301828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 127 + -39. Suppose 0 = -3*n - n + w. Let j(a) = -a**2 + 24*a - 40. Let z be j(n). Solve -5*p - 5 = 5*o, -17 = 3*o - z*o + 5*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**22*t))**33 assuming t is positive.\nAnswer: t**(-759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 686 and (-25900769)\/(-5034) + (1 + 0)\/(-6).\nAnswer: 10290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-15)*(-1 + 10). Let q = 145 + -71. Find the third derivative of 11*s**3 - 74 + d*s**2 + q wrt s.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (39\/52)\/((-3)\/(-2)). Let m = 4.3 - 4. What is the nearest to 0 in m, p, -3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1966*s**3 - 2*s**2 - 427.\nAnswer: -11796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*y - 31*y. Suppose 10*i + 15 + 35 = y. Sort 5, 7, i, -4 in increasing order.\nAnswer: i, -4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 4*b**2 + 2. Let s be u(-4). Suppose -h - s*h = -9. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*t - 5*s, 4*t = 29*s - 25*s + 100. Calculate the remainder when 114 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(192)*-3)**2.\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -26*s - 1. Let k = 5 - 1. Let v be j(k). Let f be (-6)\/(-21) + 93\/v. What is the closest to 1 in 5, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 663*t - 664*t + 5*w - 2 + 4, t - 13*w = -30 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141\/2 - -72. Which is the biggest value? (a) 0 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 14. Let g(y) = -32*y - 73. Let q(a) = -g(a) + 5*m(a). Suppose 0 = -4*i - 2 - 6. Let c be q(i). What is c rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13841 is divided by 126.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (3 + -7) - (-8 - (-2 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*n + 20 = 4*v, 3*n - 15 = -4*v. Let z(o) be the second derivative of -1\/6*o**3 + 0*o**2 + v - o. Let f(t) = -t**2. Determine z(f(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 399401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 3. Let k be a(-3). Let o be k\/(-3) + (-13)\/(-1). Suppose -2*n - m + o = -2*m, -m = -5. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2198721.12 + -2198773.12000023. Let k = 52.006 + -0.006. Let i = k + b. Round i to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17386585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Let q be 1\/((-6)\/(-9))*4. Let o be q\/(3\/16 + w). What is the highest common divisor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 1015*m**4\/8 - 87*m**3\/2 + 2925*m**2. What is the first derivative of v(h) wrt h?\nAnswer: 3045","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**8\/168 - p**7\/42 + 53*p**5\/30 + p**3\/6 - 1337*p**2. What is the third derivative of n(w) wrt w?\nAnswer: 120*w**2 - 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40999 times 95\nAnswer: -3894905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332547002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154 + 163. Suppose 0 = -22*b + u*b + 13. Solve -5*y - 4*v + b - 9 = 0, -3*v + 5 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**2 - 228096*z + 45319824 = 0.\nAnswer: -57222, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2 - 795*d - 2358 = 0.\nAnswer: -262, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -12*u + 2*u + 5 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + sqrt(112) + 3 + sqrt(112) + 2 + (-3 + 1*sqrt(112) - -1*sqrt(112)*-2) + -3)**2.\nAnswer: -32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 3*v + 1. Let x = 8 - 11. Let m be i(x). Differentiate -11*g**2 - g**3 + 11*g**2 - m wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171637 (base 8) in base 15?\nAnswer: -1372c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let o(h) = 6697*h - 1. What is o(w(c))?\nAnswer: -13394*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnrnjjjnrnrn. What is prob of picking 1 n and 2 r?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5401*v + 18. Let i(b) = 13151438*b + 43833. What is -14611*f(c) + 6*i(c)?\nAnswer: -5383*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3088605 is divided by 54186?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r - 231917 + 2034217 = 0. Calculate the greatest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0759, -4, 0.1 in increasing order.\nAnswer: -4, -0.0759, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*x + 17, -3*v - x - 2*x = 15. What is the least common multiple of (-124)\/v + (-4)\/(-18) and ((-112)\/12)\/((-1)\/3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -3 - (48 - 19 - 17)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 402*y**3 - y + 4. Let h be p(3). Is (-4)\/14 - h\/(-91) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -374.9 - -374.9. Which is the smallest value? (a) -4 (b) 303 (c) q (d) -2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -101 and -184.83.\nAnswer: -285.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -326352, -652653, -978918, -1305129, -1631268, -1957317, -2283258, -2609073?\nAnswer: -2934744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 14664846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from oojkkxsf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 6:24 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gghhhhgggghghgggggh. What is prob of sequence hh?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-58)\/10)\/((-8)\/60).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.116 and 0.016?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 212001221110012?\nAnswer: -212001221110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -6)\/(4\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 3*m + 1. Let y be j(5). Let w be 6\/y + 32\/39. Sort 5, w, 0.3 in ascending order.\nAnswer: w, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + p**2 + 3*p)*(2*p - p**2 - 2*p + p - p - 2*p**2 - 2 + 2 - p**2 + (-p - p**2 + p)*(-6 + 0 + 4)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*376.\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 29*p + 18*p - 59*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34548 + 34547.9. What is the closest to l in 0.1, -3.99, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*k = 448339 + 603281 + 670206. Is k a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5446 or -0.01726?\nAnswer: -0.01726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 61463.96 rounded to the nearest ten?\nAnswer: 61460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 4210 = 6*v. Let l(m) = -2*m**2 - 4210*m + v*m. Let r(t) be the third derivative of 7*t**5\/30 - t**2. Calculate l(r(k)).\nAnswer: -392*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004527153 to seven dps.\nAnswer: 0.0004527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 42*n**2 - 16*n - 32. Let j(s) = 14*s**2 - 5*s - 10. Let y(a) = 16*j(a) - 5*l(a). Let o(h) = -33*h. What is y(o(g))?\nAnswer: 15246*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*t - 218*t = -294921. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000048858107 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 - 479.2?\nAnswer: -479.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a + 101. Let i be j(11). Let c = 481 - i. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*((-10)\/(-6))\/((-5)\/(-15)). Sort -6, -15, x in increasing order.\nAnswer: -15, -6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1900)*2*5 + sqrt(1900) - (0 + sqrt(1900))*-6 - (3 + -1 + sqrt(1900) - (sqrt(1900) + -6*sqrt(1900)*1))))**2.\nAnswer: -15840*sqrt(19) + 8276544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -15 + 3. Suppose -m*u = -0*b - 3*b - 6, -16 = -3*u - 2*b. What is the third derivative of 0*q**4 + 5*q**2 - 6*q**2 - u*q**4 - 2*q**2 wrt q?\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -38\/35, -0.5.\nAnswer: -5, -38\/35, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 2:35 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -21*g**4\/4 - 26*g**3 + 12*g**2 - 3. Factor a(d).\nAnswer: -3*d*(d + 4)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - 83*l**2 + 50*l - 111. Determine h(-42).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*l**2 + 133*l**2 - 18*l**2 - 75*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 122961270 rounded to the nearest 10000?\nAnswer: 122960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 + (-55)\/10. Let u = s - -19. Calculate the remainder when 41 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 3*k**2 + 6*k - 5. Let w = -5 + 9. Let v be g(w). Let r = -134 + 142. Solve v*h + r = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yusssywswsss. What is prob of picking 2 s?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1245169 = 42*f - 11292023 - 2756972. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 15*l**2 - 5*l + 4. Let t be s(-15). Suppose 4*x + t - 11 = 0. Let q = -16 - x. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4096.212ng?\nAnswer: 0.000004096212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 315*x - 295*x - 420. Calculate the remainder when (-586)\/(-10) + (-2)\/(-5) is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 829 + -829. Sort -1, 0.5, n, -4 in decreasing order.\nAnswer: 0.5, n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 63*h + 622. Let z be q(-10). Let x(u) = -u**2 - 4*u - 17. Give x(z).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n - 53*n = -22 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1527820 - -2?\nAnswer: -152781a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -552, -2\/5, -1?\nAnswer: -552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 + 335 = 3*m + 2*r, -5*r + 17 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iionlnxo. Give prob of picking 1 i and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2. Let j(h) = -1. Let v(i) = -3*i + 6. Let f(k) = 6*j(k) + v(k). Let t(s) = 3*s. Let q(r) = 3*f(r) + 4*t(r). Calculate n(q(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 111287613 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**5\/60 + 292*y**2. Let v(x) = -4*x + 4*x - 7*x. Determine v(u(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31881.4 decades to centuries.\nAnswer: 3188.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.45999586 - 0.46. Round i to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4187271, 4187266, 4187259, 4187250, 4187239?\nAnswer: 4187226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1710463 is divided by 378.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 - (2 + (1 - 2)). Let w = -14 + c. Let v(q) = -10*q**w - 4*q**2 + 16*q**2 - 12*q**2. Let n(s) = s. What is v(n(b))?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 623338193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14314682 is divided by 65.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 + 21*c**2 + 27*c + 4. Let h be r(-9). Sort 3, -154, h, -5 in descending order.\nAnswer: h, 3, -5, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 0*r**3 - 2*r + r**3)*(58 + 34 - 22).\nAnswer: 70*r**3 + 140*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 137.72?\nAnswer: -8.2632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdebc. What is prob of sequence bc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1976 (base 10) to base 7.\nAnswer: 5522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, 0, 1\/14, 4, -5 in ascending order.\nAnswer: -5, 0, 1\/14, 6\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 373037 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-478 - -74)\/((-4)\/10*1) a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 872220.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512742.61 rounded to the nearest 10000?\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*q + 2*t - 351, 0 = 5*q + 2*t - 1739. Let y = -309 + q. Calculate the remainder when 148 is divided by y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, v: 2, g: 1, q: 1}. Give prob of sequence lq.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 131*h**2 - 24*h + 3250. Determine w(131).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-11)\/(-66))\/(1\/(-2)))\/(5\/4575*-5).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - v**2 + v + 1. Let r be ((-2)\/(-11) - 282\/(-22))*2. Let o(k) = 41 - 12 - 4*k**3 - r - 4*k**2 + 7*k. What is o(u) - 3*t(u)?\nAnswer: -u**3 - u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*x - 3*x. Calculate the remainder when ((-1)\/(-2)*20736\/(-240))\/((-3)\/10) is divided by x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4202 times -0.018\nAnswer: 75.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84668643?\nAnswer: 3, 461, 20407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l - 102 = 44*l. Let c(z) = -z**3 + 13*z**2 - 2*z - 6. Let s be c(5). Suppose -102 = -3*r - v, 4*r - 3*v = -r + s. Is r greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 6*f - 4. Let u be p(5). Suppose -10*y + u = -109. Let d = -11 - -91. What is the highest common divisor of d and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7598 + 7621. What is the second smallest value in 2\/17, u, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**3\/3 + 4*o**2 - 7*o + 6. Let r be a(6). Solve -2*s = -7*s - r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/132 + 16\/88. Let m = 5.5 - 1.5. Which is the nearest to -1? (a) -1 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57518276341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 686*g + 26753. Determine n(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 1 + 70 = -12*n, 0 = 2*n - p + 21 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 w when three letters picked without replacement from wkkwwkwkkkwkwwkwwk?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/26 (b) -3\/19 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 4679534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1 - (-6)\/1. Suppose -13 + 3 = -j*n. Suppose -n*z - k + 4 = 0, -5*z = -5*k + 24 - 4. Let r(x) = -x**2 - x. What is r(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 399 - 2500 = 104*u for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15891 divided by -6\nAnswer: 5297\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -108*d - 450. Give l(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -5\/4, 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = 12. Let q(k) = -3 + 2 + 0 + 2. Let s(p) = 3*p**2 - 3. Let l(w) = b*q(w) - s(w). Let x(t) = t. Determine l(x(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6068427 to the power of 1\/2, to the nearest integer?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0.7. Let j = -0.20000068 + u. Round j to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 2, 0.7, 4 in decreasing order.\nAnswer: 4, 2, 0.7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*l + l. Let d = 13 + l. Let r = 6168 + -6162. Calculate the least common multiple of d and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -3\/5 (c) 1\/4 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29570 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**5 + 955*f**4 - 16095*f**3 + 91805*f**2 - 169540*f = 0. Calculate f.\nAnswer: 0, 4, 7, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 152, 234, 316, 398?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1264 - -1264.1. Is -73.3 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -19, 29, 151, 377, 737, 1261?\nAnswer: 1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 6. Let f be h(4). Suppose -f*o + 64 = -12. Let s = 59 - o. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydyyxxjjwj. Give prob of sequence jdwx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -619 or -316?\nAnswer: -619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 19. Let g(q) = q + 10. Give -5*g(o) + 3*i(o).\nAnswer: o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*i - 72 = 0, -23 = -3*u - 4*i - 4. Let r(p) = -12*p. Let b(d) = 25*d. Calculate u*r(t) + 6*b(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 37d283?\nAnswer: -37d287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6128 + 2.043798?\nAnswer: 1.430998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeqeeeeqqqqqqqqq. What is prob of picking 1 q and 1 e?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 1}. What is prob of picking 1 y and 1 e?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -351?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 144, 4, 3, -4037, -2.\nAnswer: -4037, -2, 0, 2, 3, 4, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sspsppsssspstpcps. What is prob of picking 2 s?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 0, -4*t = -2*d + 10. Let v(o) = -o - 4. Let f be v(-5). Let b be (11\/(-22))\/(f\/6). Put b, d, 4 in descending order.\nAnswer: d, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -3. Suppose -a + l*a = 10. Let v = 2 - 1. What is the remainder when a is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -10 (c) 0.1 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/(-35) + (-4)\/(-10). Suppose 3*z - 2*b - b = 90, z - 2*b - 32 = m. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10550698 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekmt when four letters picked without replacement from hehktdmd.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*g + 9, 4*g = -h + 2 + 10. Suppose -j + h = -3. Suppose 0 = 5*n - 5*m - 135, -j*n - 2*n + 111 = m. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131.16 + 2.84. Let t = -41068809.1 + 41068943.1000126. Let i = v - t. Round i to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 1 = 7*u. Let n(q) = 1 - 10*q - 3*q**3 + 2*q**3 + 11*q. Let b(f) = f - 1. What is u*b(h) + n(h)?\nAnswer: -h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -21)*6\/(-9). Let w be (-1 - -4)*23\/23. Let p(y) = -5*y - 1. Let g(r) = 24*r + 4. Calculate o*p(q) + w*g(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = g + 31, 2*k - 10 = 4*k. Let r(b) = -10*b - 17. Let p(x) = -7*x - 11. Let w(o) = 7*p(o) - 5*r(o). Let y be w(g). Solve -y*u + 6 = -0*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 13*r**2. Let i(d) = -15419*d. Give i(q(h)).\nAnswer: -200447*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 15. Let j = 10 + d. Suppose a = j*a. Solve a = 3*m - 3, 2*p - 5*m + 1 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2 + 6. Suppose 24 = l*k + 4*r, -3*k - 4*r = -k - 20. What are the prime factors of 1986\/33 - k\/11?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434071 by 6.\nAnswer: -434071\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 18 + (0 - 29)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914488 is divided by 394.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (14 + -8 - 18)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3913878721*z**3\/5 - 7828383052*z**2\/5 + 250249*z - 10 = 0?\nAnswer: 5\/62561, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -j - 2*u - 2*u, -2*j - 7 = 3*u. Solve -3 = r + j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0 - -11) + -12)*1\/1 - 5. Which is greater: f or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(13*n**5 + 0*n**5 + n**5) + (3*n**4 + 4 - 4)*(-457 + 457 - 31*n).\nAnswer: -65*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.27, -37613 in decreasing order.\nAnswer: 2, -0.27, -37613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, i: 9, b: 4}. Give prob of picking 3 b.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/55, 16\/3, 7\/11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, p: 3, f: 3}. Give prob of picking 1 f and 3 z.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**16\/x**(1\/47) assuming x is positive.\nAnswer: x**(751\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f + 49. Let k be n(-6). Let p be k\/(-35) - (-1053)\/15. Let h be (80\/p)\/(4\/14). Solve -4 = -x + h*a + 15, 5*a + 25 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -19*r**4\/12 - r**2 + 7*r. Let u(h) = 110*h**2 + 111*h**2 + 115*h**2 + 107*h**2 - 441*h**2. Calculate u(g(k)).\nAnswer: 722*k**4 + 152*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -116165953035092?\nAnswer: 116165953035091.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5180715 at most as big as 5180706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23395*o - 70434*o + 23620*o + 23376*o.\nAnswer: -43*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 2\/23, -15\/44, 5, -2\/5, 3.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttp when three letters picked without replacement from stiipiiipspitptippp?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**2 + 34*c - 1. Let x be h(-6). Solve -4*b = -5*w - 45, -5*b + x - 2 = -4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 58. What is a(-28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x. Which is the third biggest value? (a) x (b) 0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + 11a02?\nAnswer: 119c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 44?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1884 (base 16) to base 15\nAnswer: -1cd6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*x + 18. What is the common denominator of -47\/10 and ((-262)\/x)\/((-36)\/21)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, -1, -0.01138, -14, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -80*-40.3\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 13*a**3 - 3*a**2 + a + 2. Let g be j(2). Suppose 2*m - 30 = g. Is m a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 8:52 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119928286 is divided by 3824?\nAnswer: 3822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 2*c**3\/3 + 25*c**2 - 24*c. Let l be b(-12). Solve 5 = -3*x + l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(19))**2 - (sqrt(171)\/sqrt(3))\/sqrt(3)) + 2.\nAnswer: -36 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 9) to base 7\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6594 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 + (56 - 38) + 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/5)\/(378\/(-140)). Let w(h) be the first derivative of -2\/3*h**2 - b*h**3 - 2\/3*h + 2. Determine o, given that w(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 833 + 833.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 0*m + 2*m)*(-134 + 123 - 161).\nAnswer: 344*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*j**2 - 3*j**4 + 0*j**2)*(-6 + 4 + 4) + 18*j**4 - 99*j + 99*j)*(-3 + 3 - 2*j).\nAnswer: -24*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -5. Let r(g) = -3*g**3 - g**2 + 1. Let v be r(y). Suppose v*x - 58 = x. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1077865\/101773 - -519\/49. Let n = k - 255491\/20770. Calculate the common denominator of n and 151\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 10 = 4*u. Let v be -2 + -2*(2 - 1). Let s(c) be the first derivative of -c**2 - 4*c + 1. Let o(n) = -n - 2. Calculate u*o(p) + v*s(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((2*sqrt(1215) - sqrt(1215))*2 + sqrt(1215))\/(1*sqrt(432)))**2.\nAnswer: 485\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -20\/93, 4, 2, 0, -2 in increasing order.\nAnswer: -2, -20\/93, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 1. Let v(s) = -s - 4. Calculate h(x) - v(x).\nAnswer: 2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 19. Let l be w(-17). Let r = l + 114. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k + 9. Let f be x(5). Let v = 27 + f. Let l(y) = y**2 - 5*y - 5. What is the least common multiple of 9 and l(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 73.709 and 1.\nAnswer: 74.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Find the third derivative of 2*b**2 + 0*b**5 + n*b**4 - 4*b**4 + 2*b**5 wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2. Let w(n) = -46*n + 6. Determine w(v(g)).\nAnswer: -92*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23166352 (base 7) to base 16.\nAnswer: -1f0750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d. Suppose 0 = -0*u - 4*u + 16. Let y(b) = b**2 - 5*b + 6. Let g be y(u). Let t(r) = -3*r - g + 2. What is t(f(k))?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + (-4 + -56 - -3 - (-2 + 0)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1415382.2 to the nearest 1000.\nAnswer: -1415000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 69*p**2 + 63*p + 343. Let x be l(68). Solve 0 = -x*c + 5*o + 17, 28*c = 30*c + 3*o - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -70*b**2 - 35590*b - 4553015. Let a(w) = -5*w**2 - 2542*w - 325217. Let z(g) = -55*a(g) + 4*r(g). Factor z(n).\nAnswer: -5*(n + 255)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4617284.\nAnswer: 2, 7, 103, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1354610 (base 9) in base 4?\nAnswer: -2311311210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 14*w**2 - 54*w + 30. Determine f(4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -2*p - 22, -16 = 2672*p - 2670*p - 2*v for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15050 and 270685?\nAnswer: 18947950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-33)*n))**(4\/13)*(n\/n**1)**46 assuming n is positive.\nAnswer: n**(132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -971\nAnswer: 87.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 1. Let x(r) = -5*r**3 - 5*r**3 + 7*r**3 - 3 - 3*r**2. What is -3*p(w) - x(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5. Suppose -15 = -5*x - m*x. Solve 0 = -2*n - x - 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d - 1314 = -37*d. Let n = d - -816. What are the prime factors of n?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*k**2 + 6\/7*k - 36\/7.\nAnswer: 6*(k - 2)*(k + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 5559214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 - 5*v**2 - 3*v - 17. Let a be m(-4). Let u = 88 - a. Solve 10*j - u = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6138 * 4.\nAnswer: -24552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:48 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvvjvjvvvv. Give prob of picking 2 j and 2 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -343 smaller than -343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 7. Let f be v(-7). Suppose 120 + 73 = 4*q + r, 5*q + r - 241 = f. Put -4, q, 5 in ascending order.\nAnswer: -4, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*i + 5, 0 = -5*i + 4*b + 9 + 41. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(((-5)\/(-17))\/(-5)). Let l = n + 20. Suppose 2*s + 4 - 2 = 0. Sort 2\/7, l, s in decreasing order.\nAnswer: l, 2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (984\/480 - 45\/25)\/((-133)\/8 + 2)?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-8)\/(-28) + 1\/(-112)*4). What is the nearest to j in 0.4, 2, -1, -8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 36\/11 (b) -4 (c) 4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 6*i**2 - 5. Let m be r(6). Let f be (-6)\/m*(-50)\/15. Let c(q) = q**3 + 3*q**2 - 3*q - 1. Give c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 26 = 2*j - 4, 5 = 3*j + 5*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rfrr.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -5*q**4\/2 - 35*q**3\/6 + 26*q. Find the second derivative of o(p) wrt p.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**3\/3 + 5*o**2\/2 - 11*o - 128. Let j(n) = -2*n**2 + 8*n - 16. What is -8*c(l) + 5*j(l)?\nAnswer: -2*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 - 26686*a**3 - 25260*a**2.\nAnswer: -24*a - 160116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2 + 2*k + 1. Let l(d) = -3*d + 68 - 70 + 9*d**2 - d. Calculate -3*l(r) - 5*p(r).\nAnswer: -2*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -2.99, 5323 in decreasing order.\nAnswer: 5323, -4\/3, -2.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 2687. Let o(f) = 67465*f - 33733*f - 33732*f + 2*f**2. Give m(o(u)).\nAnswer: 4*u**4 + 2687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.267 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -181077144 divided by -4?\nAnswer: 45269286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h**3 + h**2 - 24*h - 56. What is x(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**3 - 5163*d**2 - 6446*d - 18094. Calculate p(1292).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 + 119*p + 285. Calculate n(-57).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 + -132. Suppose i*m - 1497 = -39. Calculate the greatest common factor of 108 and m.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - r - 55 - 58 + 156 - 42 in the form o*r + z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7*-20)\/(-7)*3\/15. Solve 4*j - y = j - 4*i, -5*j + 2 = 2*i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1032 and 172?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386 - 387 + 773 + 34*a.\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 47335*t**2 - 2050950*t + 59913000.\nAnswer: 5*(t - 9510)*(t - 20)*(t + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 3756?\nAnswer: 18780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1433*q**3 - 4*q**2 + 28*q + 5. Let c(d) = d**2. Let m(z) = 4*c(z) + n(z). What is the second derivative of m(l) wrt l?\nAnswer: 8598*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r. Let k(n) = 5 - 4 - 2 + 5 - 3 + 2*n. Let v = 51 + -57. What is v*l(b) + k(b)?\nAnswer: -4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 10:23 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:42 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 512 = 2*a + 3*j, -4*j + 8 = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((393\/917)\/(6\/(-14)))\/(1\/35).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126098918 to the nearest integer?\nAnswer: 11229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**7\/2520 + a**6\/144 - a**5\/120 - a**4\/3 + 5*a**2. Let o(l) be the second derivative of x(l). Calculate o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*k + 2*f - 32, -f = 2*k - 48. Calculate the greatest common divisor of 39 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4246 (base 9) to base 16\nAnswer: c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 114 - 7*x**2 + x**3 + 14*x - 2*x**3 - 106. What is the remainder when 130 is divided by s(-9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2 = 3*n - n, 2*n - 2*j - 4 = 0. Suppose -4*u = 4*h - h - 8, 3*h - u - 28 = 0. Solve 1 + h = n*b + 5*t, -3*t = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 3, -5, -97, -1, 2, 4 in descending order.\nAnswer: 52, 4, 3, 2, -1, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**7\/1575 + a**6\/300 + a**5\/150 + a**4\/180 - 127*a**2. Factor b(k).\nAnswer: 2*k*(k + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10051553*h**2 + 3311060*h - 5.\nAnswer: -20103106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-49)\/(-2))*1. Let w be 7 - (-5)\/((-5)\/4). Factor -2\/7*g**4 + 0 + 2\/7*g**2 + v*g - 2\/7*g**w.\nAnswer: -2*g*(g - 1)*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -5*f - 3. Let s = 15 - f. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -8. Suppose f*l = l - 1. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/8)*a**(-3)*a*(a*a**(2\/7))**(-2\/13)*(a*a*a**4)\/a**5*(a\/((a*a\/a**(3\/2)*a)\/a)*a)\/(((a**0*a)\/a*a)\/a) assuming a is positive.\nAnswer: a**(857\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1 = 4. Let z be u\/(8\/3 + -3). Solve -x + 1 = 3*m, 5*m = -7*x + z*x + 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -76752, -154919, -233086, -311253, -389420?\n\"Answer: -78167*z + 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) -4 (b) -2\/15 (c) 8 (d) -3 (e) 3 (f) -1\/3287\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6225 - 4146. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7255 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: What is the remainder when 209574 is divided by 818?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.084*-1.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19.7 + 24.7. What is the nearest to -1 in 30, j, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p - 547*p**2 + 214*p**2 + 3*p + 72*p**2 + 3*p.\nAnswer: -261*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61488246 is divided by 58?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5368.763 to the nearest 10.\nAnswer: -5370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 2*v**3\/9 - v**2\/3 - 9. Factor p(l).\nAnswer: 2*l*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 3*h**2 + 1. Let r be o(-2). Suppose 0 = 3*k + 3*y + 18, -2*y = 2*k - 5*y - 13. Put r, k, 2 in ascending order.\nAnswer: r, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.427116 litres to millilitres.\nAnswer: 9427.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/((u\/(u*u**(-1)*u)*u)\/u)))\/u)**(-23))**(-1\/16)*u**(-1)*u*u\/u**3*(u**1*u)**(-1\/43) assuming u is positive.\nAnswer: u**(-2397\/688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146*k**4 + 4*k**4 - 7*k**4)*(0 + 1 + 3).\nAnswer: 572*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 18 = 8*l. Suppose 0 = 4*c - c + 2*h - 2, 14 = 2*c - 5*h. Suppose -c*u - 4 = -u. Which is bigger: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 + 4*g**2 - 2*g**2)*(37*g - 81*g + 24*g) in the form h*g**2 + u*g + m*g**3 + k and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 1, 5, 19, 49?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 135711 = -695*u + 697*u, 5*u = -3*x + 81400. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 124 = 3*b. Suppose 4*f - 4*j = -0*j + 24, 4*j + b = 5*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 9496*d**2 + 9496*d**2 + 24*d - 4*d**3 - 24*d - 123.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 4*z + 5. Suppose 0 = 4*o - 12 - 8. Let p(y) = 16*y**2 + 3*y - 33*y**2 + 16*y**2 + 4. What is o*p(a) - 4*f(a)?\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3961050.\nAnswer: 2, 3, 5, 26407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -309271*-9.\nAnswer: 2783439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4918 - 4918. Let a(y) be the second derivative of 0*y**2 - 5\/6*y**4 + k + 15*y + 7\/3*y**3. What is the second derivative of a(o) wrt o?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + ((-4)\/6)\/((-30)\/315)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -10 (b) -5 (c) 0.07 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 5*v**2 + 5*v - 9. Let o(c) = c**2 - 4*c. Let d(j) = -o(j) - x(j). Give d(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2113 - -1?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*z = -z + 19, 4*c - 4*z = 20. Suppose 2*t - 4*y = -c*y + 76, -100 = -2*t - 5*y. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9386?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 308355821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6 + 2. Suppose -2*b = 6 + n. Let u(k) = -k - 8*k - 1 - k**2 + 3*k. Give u(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/87373, 1\/11, -0.02 in decreasing order.\nAnswer: 1\/11, 6\/87373, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39907009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -68830, -138101, -207382, -276679, -345998, -415345, -484726, -554147?\n\"Answer: -k**3 + k**2 - 69267*k + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-60)\/(-18) + 0)\/(6\/9). Suppose -7*a - 10 = -2*a. Sort a, l, 4 in decreasing order.\nAnswer: l, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2979 = 128*y - 1753 - 1540 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1 - 13) + 2)\/(-2). Let v = -695 - -735. Calculate the highest common divisor of t and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 3*f - 3. Let i be w(4). Let b = -36 - i. Sort -6, b, 3 in descending order.\nAnswer: 3, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-8) - (-3)\/12. Is t*(4 + 63) - 3 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/589955 - 4051810931\/5309595. Let c = 762 + g. Let l = 89\/72 + c. What is the second biggest value in 2, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4356900 divided by 103?\nAnswer: 42300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 - -227. Suppose -130*r = -s*r + 96. What is the remainder when 85 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*d**3*g - 31974*d**3*y - d**2*g**2*y - 569*d**2*g**2 with respect to y.\nAnswer: -31974*d**3 - d**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 70431 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*z, -15*v + 11*v = -z + 21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39804*w**3 + 12 - 19903*w**3 - 19871*w**3 - 12.\nAnswer: 30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = y + 4*t, 3*t - 3 = y. Let a be 24\/3*1\/2. Sort a, -1, y in ascending order.\nAnswer: -1, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17886\/813)\/(3\/(6\/11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a4131 (base 12) to base 11\nAnswer: -137138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**5\/11 - 274*p**4\/11 - 724*p**3\/11 + 22632*p**2\/11 + 100080*p\/11 = 0.\nAnswer: -6, 0, 10, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 128342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 37. Let x = 139\/102 - 1\/34. Which is the smallest value? (a) x (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*t - t + 119 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -0.5 (c) 0.4 (d) -0.0029 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 11:38 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Suppose 5*v - b - 6 = 0. Solve 6*n + 5 = 3*n + v*o, -5*o = -n + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 9. Let z be s(0). Let v(l) = l**2 + 4*l - 10. Let d be v(z). Suppose -3*k + d = 2*c, -4*c - 35 = -4*k + 3*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -422.923363 + -0.066637. Let y = 1034 + -613. Let x = f + y. Round x to one decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 98?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1*(-77)\/1. Let p = 86 + n. What is the least common multiple of (12\/(-14))\/((-8)\/56) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r**3 + r + 22 + 4*r - 6*r - 3 - 2*r**2 - 2 as z*r**3 + m*r**2 + w + f*r and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 4480.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 32*f + 25*f - 285. Solve -5*o - f*o = -30 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*-2*(sqrt(187) + sqrt(187) + sqrt(187)*1))\/((sqrt(275) - (sqrt(275)*-1 + sqrt(275)))*-1 + sqrt(275)*1*3 + sqrt(275)).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -405\/7 + 58. Sort 0.05, 2, s in descending order.\nAnswer: 2, s, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94214729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 10:02 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z**2 - z + 18. Let x be 0*(-12)\/48*(1 - 2). What is l(x)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -525702.000002 - -525717. Let m = 36 - 51. Let x = n + m. What is x rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 689\/65)\/(-8 + 41*(-6)\/(-30)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = o - 41, -34 = -0*z + 2*z + 4*o. Sort z, -1, -5 in decreasing order.\nAnswer: -1, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2916306.\nAnswer: 2, 3, 162017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-148)\/(-777))\/(360\/(-105)).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minus -2531995.6285?\nAnswer: 2532232.6285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 1385\nAnswer: -8\/1385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1840)\/(-15180))\/((-3)\/((-189)\/6)).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 12*a = 6035. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0604? (a) 0.037 (b) -41 (c) -5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12, -1\/2, -4, -2, 29?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5006963538.\nAnswer: 2, 3, 92721547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6026 + 6026. Do n and 1\/1029 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**3\/9 + 104*c**2\/9 + 1186*c\/9 - 1292\/9 = 0. What is c?\nAnswer: -34, -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-324)\/405*(-15)\/(-6). Let b(t) = 3*t**2 - 5*t + 5. Let c(d) = 15*d**2 - 26*d + 26. Give l*c(o) + 11*b(o).\nAnswer: 3*o**2 - 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*y - 3120 + 13910 = -3530 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.216 - -2.226248. What is t rounded to four dps?\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2 + 2\/(-1))*360\/300. Which is the closest to 1? (a) 1\/3 (b) 16 (c) 0.3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 38. Let v be (3*-1)\/((-12)\/q). Is (-795)\/(-12) + v\/(-8) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 93.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u + 13*u = 20*u + 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/20 and 15\/6868.\nAnswer: 34340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4677 - -8100?\nAnswer: 13777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*d**2 - 6*d**2 + 3*d**2)*(1 + 2*d - 1) + 0*d**3 - 3*d**3 + 2*d**3)*(3*d + d**2 - 3*d) - 353*d**5 + 10*d**2 + 169*d**5 + 170*d**5 - 2*d**3.\nAnswer: -17*d**5 - 2*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13103 (base 4) in base 13?\nAnswer: -29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 25*o - 28. Let a be v(-26). What are the prime factors of a*2\/8*-428?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1383 + 1371 = 0. Let m be 0\/((1\/(-1))\/(-1)). Solve -5*s - j - 2 = -m*j, -2 = c*s + j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*z**3 - 60*z**2 - 73*z**2 - 7*z**3 + 146*z**2 wrt z?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41327616 a multiple of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1617942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 383 + 458. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 divided by -3?\nAnswer: -167\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 31941 + 98914. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618945316 a multiple of 556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -375*n + 1. Let p be o(1). Suppose 3*y + 131 = -2*k - 294, y - k + 135 = 0. Let t = y - p. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67320232?\nAnswer: 2, 7, 1202147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 421 divide 715970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, q: 7}. What is prob of picking 2 w?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16194965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -613\/4 - -152. Let s = 0.2 + 0. Put 5, j, s in descending order.\nAnswer: 5, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29226 and 77936.\nAnswer: 233808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3436 - 0?\nAnswer: 3436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3387, -3407, -3431, -3459?\n\"Answer: -2*m**2 - 14*m - 3371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -52*20\/48*3. Let n = -44 - o. Suppose 3*g - 31 = 2*m + 3*m, -3*g + 3*m = -n. Solve g*h = c - 4*c + 14, -4*h - 3*c = -16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/9, 2\/5, 2\/19, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a\/((a\/(a*a*a**(2\/5)*a))\/a))\/a*a))\/a*a**(-5))\/(a*a*a*a**(1\/5)*a*a*a**(-1\/3)) assuming a is positive.\nAnswer: a**(-229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from mcactctcttctctcc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (87\/580)\/((-4)\/124690). Let l = 4669 + k. What is the common denominator of l and -50?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.937 - -1.047. Let v = -240.29 + 239. Let x = v - j. Sort 0.4, -9, x in ascending order.\nAnswer: -9, x, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44084 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2090 divided by -80165.\nAnswer: -418\/16033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*s - 45 = 0, 5*s = -k - 2 + 11. Let h be (-4)\/(-84)*(k - 11). What is the third smallest value in 5, h, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 0*p - 2*p**2 + (2*p**2 - 2*p**2 - 2*p**2)*(0 + 1 - 3) + 13*p**2 - p + p + (-p - 2*p + 2*p)*(-p + 0*p + 0*p).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4849835 and -0.2.\nAnswer: -969967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*p + 4*t, -25 = -3*p + 2*p - t. Solve 3*g + 3*i = 0, -g - 2*i = -5*i + p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02278002588 to 6 decimal places.\nAnswer: 0.02278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 777 and 117952?\nAnswer: 117175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10733629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2 - 4*h**3 + 2*h + 3*h**3 - 7*h**2 + 5*h**2. Let g(r) = -2*r**3 - 7*r**2 + 7*r - 7. What is 2*g(j) - 7*y(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 13 = -v, 7*q - 2*q + 29 = 2*v. What is the second derivative of -17*n - 21*n - 17*n**2 + 3*n**5 - 5*n**5 + 6*n**v wrt n?\nAnswer: -40*n**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 - -158. Let q = 932 + c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = r + 1, 0 = r + n - 1 + 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 3. Let v = 4 + 0. Let d be p(v). Calculate the greatest common divisor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 0, -3, -1\/19, 14 in increasing order.\nAnswer: -3, -1\/19, 0, 14, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 15 = 4*f, 0*a + a = f. Factor t**f + 2 + 0 - 1 - t**2 - t.\nAnswer: (t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -2. Let y = z + -1.7. Let n = 276.5 - 277. Which is the closest to -1? (a) y (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1133 - 1017 = 4*o, 4*b + 48 = 2*b + 2*o for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 201296436 a multiple of 1298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2*1\/(-8)*256\/(-320)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 1:22 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -72842.3 * 0.1\nAnswer: -7284.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 215582498 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 9*f - 20. Let h be y(-6). Let u = h - -34. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:02 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -211120112202?\nAnswer: 211120112221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156729 is divided by 866?\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9837647?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2. Let l(h) = 4*h**2 + 26*h. Determine l(x(b)).\nAnswer: 16*b**4 + 52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10661 + 10665. Solve x = -5*g - 4*i, 5*g - 8*g - 2*i - 2 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -38547, -2\/3, -11 in increasing order.\nAnswer: -38547, -11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12297 - 12323. Which is bigger: 119 or u?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322691911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 25*q**2 + 106*q + 26. Let z(p) = p**3 + 12*p**2 + 53*p + 12. Let w(l) = 4*i(l) - 9*z(l). What is the second derivative of w(f) wrt f?\nAnswer: -54*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ac9 (base 13) to base 14\nAnswer: -967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 + 103117*i**2\/2 + 7977156393*i\/2 + 358763256135\/2.\nAnswer: (i + 45)*(i + 154653)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*d - d - 60*d)*(-11 - 20 + 47) to the form f + t*d and give t.\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -837*l + 720*l + 903*l + 1 + 370*l as k*l + p and give k.\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 1)*(-613*u + 206*u - 85*u).\nAnswer: -1476*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.061?\nAnswer: 0.0244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124084 divided by -80.\nAnswer: 31021\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2522819161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -295.007 - -3.207. Let n = h + 253. What is n rounded to zero decimal places?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4584)\/10314*(-18)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**3 - 31*c**2 + 9*c + 39. Let a(v) = 3*v**3 + 14*v**2 - 4*v - 19. Calculate 9*a(k) + 4*q(k).\nAnswer: -k**3 + 2*k**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 4. Let o be g(-4). Suppose -5*a - 15 = -5*u, -5*u + 25 + 4 = 2*a. Suppose f + o = u*f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -14. Suppose 2*k + 36 = 4*k - b, b = k - w. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8820 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 times 0.0692?\nAnswer: 0.20068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from xxantkf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -153, -1061, -3469, -8109, -15713, -27013, -42741, -63629?\n\"Answer: -122*j**3 - 18*j**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1207217, 2414430, 3621643, 4828856, 6036069, 7243282?\n\"Answer: 1207213*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14 - 45\/35?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 14*y**3 - 7*y**2 - 6*y - 7. Let p(n) = -13*n**3 + 6*n**2 + 5*n + 6. Calculate -6*o(f) - 7*p(f).\nAnswer: 7*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.164 in -1.4, 0.6, -0.4, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*x - x - 25*x - 50*x as a + n*x and give n.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016157 to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167212 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: Two letters picked without replacement from eaqaqaayqyy. Give prob of picking 1 a and 1 q.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 16517 = -5*o + 10*c, -c = 4*o - 13214. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 12*a - 6. Let x be c(10). Suppose -k + x = 12. Suppose -2 = -k*p + 4*i, 0 = -5*p - i - 5 + 32. Put 4, p, -7 in descending order.\nAnswer: p, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 2:48 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -172*m**2. Let h(b) = -3*b - 15. Let w(u) = 2*u + 18. Let t(f) = 6*h(f) + 5*w(f). Give t(y(s)).\nAnswer: 1376*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127260 divided by 3030.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 4634.\nAnswer: 13902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18214721*j**3 + 6290004*j**2 wrt j.\nAnswer: 109288326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*r - 2464 = -2689 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(1 + 8\/(-6)). Let c(t) = 4*t**2 - 7 - 2*t + 3*t**2 - 2*t - t**3. What is the units digit of c(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5417\/15 + -361. Let k(y) = -2*y - 1. Let u be k(-1). Is c smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21397345 is divided by 56.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1318948102 to the nearest integer?\nAnswer: 1097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*266338.\nAnswer: -53267.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-15 - (-20 + 7)) + -26 + 4?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - 114.04. What is the closest to 0 in l, -2, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 24*w = -28. Suppose 5*g + 2*u - 5557 = 4988, -5*u = w*g - 8419. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 6. Suppose 0*d + g = -d. Put 1, d, -4 in decreasing order.\nAnswer: 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, u: 3, d: 3, c: 1, r: 3, g: 3}. What is prob of picking 1 d, 2 r, and 1 i?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.411649 and 1.\nAnswer: -0.411649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 3*f - 28. Let a be y(12). What is the highest common factor of 76 and a?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k + 42. Let b be w(7). Solve -4 = -2*u + 2*y, b = -9*u + 4*u - 5*y + 30 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 + 2*i**2 + 0*i**2. Let m(t) = -t - 3. Let p(z) = z + 2. Let f(d) = 4*m(d) + 6*p(d). What is f(v(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -1. Let l = 69.928 - 70. Let v = -0.228 + l. What is the closest to h in 1, v, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3143902*m**2 - 2376253?\nAnswer: 6287804*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 1449846?\nAnswer: 7249230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 888.5 + -889. Let d = 8489\/11 + -774. Let l = 147\/55 + d. What is the second smallest value in 7, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1388 and 423687.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24684717 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 244*x**2 + 454*x wrt x?\nAnswer: 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10836 divided by -84\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 121 = 8*l. Suppose 5*g = 2*u + 479, 0 = -g - 3*u - 32 + l. What are the prime factors of g?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1528031 divided by -5\nAnswer: 1528031\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 100?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -73. Suppose -5*i = -4*b - 22 - 5, 2*b = k*i - 11. What is b rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/41))\/(((n*n**(-19)\/n)\/n*n)\/n)*n**(-1\/7)\/(n**(-4\/9)*n*n) assuming n is positive.\nAnswer: n**(49982\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9)\/(9\/5) - -526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -6)*(-6)\/4. Let p = -1 + 3. Suppose -p*h + 25 = 3*h. Solve c*n - n + 2 = 2*s, -h*s + 29 = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -5, 5566564, 2\/7.\nAnswer: -5, -2\/9, 2\/7, 5566564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -5, 85 in ascending order.\nAnswer: -5, 85, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from llbbadbdblbbbbbb.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -160447 (base 11) in base 4?\nAnswer: -330321120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**6\/720 - a**5\/32 - 3*a**4\/16 + 17*a**3\/6 + a**2\/2 - 7*a + 1. Let t(u) be the second derivative of s(u). Factor t(j).\nAnswer: -(j + 6)*(2*j + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11309 - 5?\nAnswer: 11304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 14. What is the lowest common multiple of k and 2*(-5)\/(-5)*(2 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a**2 - 198392*a - 2048196 = 0 for a.\nAnswer: -5658, -362\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1794 and 2254?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22677 or -22680?\nAnswer: -22677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1. Let n(g) be the second derivative of -g**3\/6 - 3*g**2 + 30*g. Calculate -6*j(l) - n(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*j - f, 0 = 2*j + 4*f - 6*f - 6. Let v(x) = -x**2 - 7*x + 25. Let g be v(-11). Put g, 2, j in decreasing order.\nAnswer: j, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*k - 370, -60 - 38 = -k - 4*z. Let l(f) = -3*f**3 + 1 - 2*f**3 - 77*f + k*f + 4*f**3. Let s(b) = b**3 - 3*b - 2. Give -3*l(x) - s(x).\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 2. Calculate the remainder when ((-30)\/(-3) + -16)*14\/(-3) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -124 + -146 + 83 + 44?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 x when four letters picked without replacement from {x: 4, e: 6, s: 7}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -6.5. Let i = 4.8 - 5.38. Let q = 0.58 + i. Is q less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/15 (c) -161997\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/3)*d)**(-20)\/((d*d*(d**(-1\/3)\/d*d)\/d)\/d)**(-2\/39))\/((d**(1\/2)\/(d*d*d**(-1\/8)))\/(d\/(d**3*d)*d*d**(-2))) assuming d is positive.\nAnswer: d**(-52393\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 3*g**2 + 5*g. Let u be b(-4). Let z = u - -5. What is the closest to -3 in -0.5, 2, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 453 = 4*p - 232, 350 = 2*p + 4*g. Suppose -3*n - 31 = -p. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 327, 1145, 2739, 5367, 9287, 14757?\n\"Answer: 43*k**3 + k**2 - 4*k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8493, -5, -4, 6, -1, -2 in ascending order.\nAnswer: -8493, -5, -4, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*f - 5*f + v, 2*v = 6. Put 0, -5, f, 5 in decreasing order.\nAnswer: f, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = -2*j, -7*j + 3*a = -2*j - 27. Let g(l) = -l**2 + 6*l + 1. Calculate the lowest common multiple of g(5) and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 15958 in decreasing order.\nAnswer: 15958, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19477.\nAnswer: 19477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/32 - -3)*(-24)\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1233781337 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 5 - x**2 - x**3 - 3 + 2 to c*x**2 + w*x + g + v*x**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 - -0.2. Let s = -5.009 - -0.009. What is the nearest to i in s, 4\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 413 = 3*q, -275*q + 277*q = 3*u + 284. Solve -q = 8*j - 179 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5*f + 8*f + 1014, 2*p - 2*f - 404 = 0. What is the smallest common multiple of 66 and p?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -33 - x + 28 - x**2 + 6. Calculate a(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36854 not equal to -36855?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.249 + 0.249. What is the third biggest value in 6\/11, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 3354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -3, -4491 in increasing order.\nAnswer: -4491, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 89, 85, 73, 47, 1?\n\"Answer: -j**3 + 2*j**2 - 3*j + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*m**2 - 68 + 68 + (m - 1 + 1)*(-4*m - 2*m + 5*m).\nAnswer: 23*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1410277715.\nAnswer: 5, 7, 11, 3663059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -76?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-10))\/(108\/270) + 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 5*x + x)*(-151 + 151 + 26*x**3).\nAnswer: 182*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 - -144. Suppose 0*s = -7*s - x. Put s, 2, -5 in increasing order.\nAnswer: s, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + 7 + 7 + -17 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 9*c - 2. Let m be r(6). Suppose 24 = -4*g + 3*k, 5*k - m - 16 = 4*g. List the prime factors of (-2)\/(-3) + (-31)\/g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = i + 4*p + 8361, -3*i + 4*p + 5023 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fifty-four fifths of a millennium?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11995 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271008?\nAnswer: 2, 39719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.05768339 rounded to 4 decimal places?\nAnswer: -1.0577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/73 in -4\/5, -0.5, 2\/3, -4, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 3. Let l(d) be the second derivative of d**3 - 17*d**2\/2 + 2*d. Calculate -34*i(s) + 6*l(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370 + 15960*t**2 - 373 + 743 - 14770*t**2.\nAnswer: 1190*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31*26\/(-403)*-7?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -393 and 389\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n + 18. Calculate the remainder when 131 is divided by f(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:46 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -79 - 65. Suppose -6*v + k = -2*v. Let l be 0\/(4\/v*3). Solve -2*u - m + 5 = 4, l = 5*u + 3*m for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 0.3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29119*a - 276 + 150 + 128.\nAnswer: 29119*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2, 3, -4, -25, -66?\n\"Answer: -y**3 + 2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3 + 177084*a**2 + 7282*a - 43.\nAnswer: -6*a + 354168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 922261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/141 + -415\/1128. Let w be (144\/(-28))\/9 + 11\/7. Is p >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 15. Let f be x(-10). Suppose -f*v - d = -19, 1 = -5*v + 3*d + 4. Suppose v*p + p = 236. What is p rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.03 + -3.63. What is the third smallest value in 4, 1\/47, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*w + 69. Let c = w - 7. What is the greatest common factor of 112 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d**2 + 5*d - 5. Determine g(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 5:00 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or -2\/345?\nAnswer: -2\/345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/(22\/(-55))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2*2 + (-36112)\/(-8140). Which is the nearest to 1? (a) -2 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/5 + 379*h**3\/5 - 12301*h**2\/5 - 12679*h\/5.\nAnswer: h*(h - 31)*(h + 1)*(h + 409)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaig when four letters picked without replacement from {a: 1, g: 1, i: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 6) + (-7410)\/(-969). What is the second smallest value in 0.41, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -22. Let q(a) = -a**3 - 7*a**2 - 9*a + 10. Let h(b) = -b**3 - 4*b**2 - 9*b + 10. Let n(u) = 5*h(u) - 4*q(u). Determine n(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1 (c) 1\/342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/154 and 65\/1484.\nAnswer: 16324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -139.983 from -448.981.\nAnswer: -308.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*z + 7, -3*b + 4*b - 11 = 3*z. Suppose -u - 4*y + 3 = 0, -y + 10 = b*u - 5. What is the second derivative of 26*m**u - 17*m + 22*m + 24*m wrt m?\nAnswer: 156*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -960*w**5 + 27856*w**2 - 825*w**5 - 27856*w**2 + (-3*w + 0*w + 4*w)*(-2*w**2 - 2*w**4 + 2*w**2) + 3*w**2 + w**5 - 3*w**2.\nAnswer: -1786*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + p + 1. Suppose -o + 14 = -3*i + 63, -33 = -i - 3*o. Calculate the remainder when i is divided by u(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -151 - -106. Let d be 1 - 308\/((-49)\/(-7)). Are a and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 + 67*z**2 + 101*z - 160. What is n(24)?\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3626\nAnswer: -3627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/17 (b) 10 (c) -5\/1028\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekddjkjkdp. What is prob of picking 1 p and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*i - 58*i = 0. Suppose -8\/5*g**3 + 0*g + i - 1\/5*g**5 + g**4 + 4\/5*g**2 = 0. Calculate g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*m + 11 = -2, 0 = z - 3*m - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -50231948637 + -1.09\nAnswer: -50231948638.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -142070 rounded to the nearest 1000?\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*r = -407, 4*g + 2*r + 267 - 1021 = 0. Is 190 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7*s - 4*s + 48 - 18 - 5*s. Calculate the remainder when k(-9) is divided by 90.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + (3 - -2) + -10. Calculate the common denominator of 4\/(-14) - 214\/(-14) and ((-1)\/(-20)*p)\/(4\/12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28683, 58888, 89093, 119298?\nAnswer: 149503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m + 4. Let x = 5 + m. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 8*f**3\/3 - 32. Let s(u) = 11*u. What is t(s(q))?\nAnswer: 968*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-16)\/(-4) + 1). Let i(a) = a - 8 - 2*a - j*a + 3*a. What is i(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117767*n*v**6 - 280*n*v**4 + 3898199*n*v**2 + n*v wrt v?\nAnswer: 14132040*n*v**3 - 6720*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6ca34c + 5?\nAnswer: -6ca347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -76*f - 411. Let l be x(-7). What is the greatest common divisor of l and 1463?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -51 - 30*v + 56*v - 28*v. Let i(f) = -f**2. What is x(i(n))?\nAnswer: 2*n**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*f*n*z**2 - 234*f*n + 21*n*z**4 - n*z**2 wrt z.\nAnswer: -6*f*n*z + 84*n*z**3 - 2*n*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 + 8*d + d**3 + 5*d**3 + 2 - 3*d**3 - 7*d**2. Let w be c(-8). Solve -1 = w*i + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from eeemrcmcmceer.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 8*q - 8. Let h be b(-8). Calculate the remainder when 21 is divided by h - -4 - 15*-1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(162\/(-24)))\/(((-76)\/494)\/((-57)\/13))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 55*i**2 + 17*i - 18. Let u be w(29). Which is bigger: u or -2047?\nAnswer: -2047","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/208 and 57\/572.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9355 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 453339 and 22113.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpvzp. Give prob of picking 1 l, 1 p, and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -3) + 11 - 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) 0.512 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - u + 18. Let t be (-2)\/(-4 + 2) - 1. Let x be b(t). Suppose 0 = x*i - 21*i + 42. Solve -3*w + 5*m + 16 + 15 = 0, 4*m = -3*w - i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 1225*n - 1219. Is o(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**4\/24 - 2*y**2. Let h be o(-2). Let x be 8*(5\/2 - 2). Solve -5*p + 2*t = 20, x*p + h*t - 5 = -21 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 54 - 60. Solve -4*g + 3*b = 23, -w*b + 28 = -4*g + 2*b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(68)*2 + -5*2*sqrt(68))\/(sqrt(28)\/((sqrt(28)\/sqrt(4) + sqrt(7))*-5)*-6).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 11:51 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-16))\/(-3)*2. Suppose -3*d + 50 = -2*d. Let h = -49 + d. Which is greater: j or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 12*u**2 + 22*u - 17. Let g be x(10). Let k be 3 + (-301)\/28 - g\/(-4). Let t(i) = 4*i**2 + 3*i + 2. Is t(k) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o + 39*o = -5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (2 - -11) - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/((-54)\/216). Suppose -5*k = 3*q - 6, 5*q - 8 = 5*k + 2. Let r be l + 6\/1 - q. Solve -n = -0*n - 5*s - 20, 0 = n - r*s - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128117324 = 128117326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.1, 62, 35.3, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c. Let t(f) = 5839537*f. Calculate v(t(a)).\nAnswer: -52555833*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10332?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21398*k**2 - 19834 wrt k.\nAnswer: -42796*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-9)\/(-6)*(-1)\/3. Factor 1\/4*h**2 + y*h + 1\/4.\nAnswer: (h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5293, 10575, 15843, 21091, 26313, 31503?\n\"Answer: -i**3 - i**2 + 5292*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -744.36107 rounded to one dp?\nAnswer: -744.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104252 (base 7) in base 15?\nAnswer: 565e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5925 divide 860240045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -125200403 (base 6) in base 16?\nAnswer: -25f893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 3*q**2 - 3*q - 4. Let o be 33\/44*(-1 + 5). Let c(z) = z**3 + 4*z**2 - 4*z - 4. Calculate o*c(y) - 4*r(y).\nAnswer: -y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.59028us in milliseconds?\nAnswer: 0.08459028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 373\/2 + (171\/(-18) - -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 - 46. Let d(t) = -t**3 - t + 78. Let a(y) = -3*y**3 + y**2 - 3*y + 155. Let u(c) = m*a(c) + 5*d(c). What is the units digit of u(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 25*g + 199. Determine b(-43).\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 8*h - 2 + (-4 + 5 + 11)*(-13*h + 11*h - 15*h).\nAnswer: -212*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/6*(-6633)\/10251\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h**2 - 10*h - 16. Let k(b) = b**2 - 2*b - 3. Calculate 3*d(a) - 16*k(a).\nAnswer: 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(1\/4)*b*b)*b**(-3\/16)*b)\/((b*b**(-2\/37))\/(b*b**4)))**(-2) assuming b is positive.\nAnswer: b**(-2141\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 88115160053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r - 2*l - 26 = 19*r, 0 = 4*r + 2*l + 34 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 22 - 5512*r + 13 + 6135*r.\nAnswer: 623*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*o - 8 = -2*z, -5*z + 5*o = -15. Solve -z*d - 2 = -0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*a - 5 - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t. Let v(h) = h**3 + 17*h**2 + 4. Let a be v(-17). Let f(r) be the first derivative of 1\/3*r**3 + 0*r + 0*r**2 + a. Give f(n(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(112) + sqrt(112) + -1*sqrt(1008) + ((sqrt(56)*-2)\/sqrt(8) - sqrt(70)\/(sqrt(90) - sqrt(10))).\nAnswer: -13*sqrt(7)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 - 34. Let s(l) = l - 7. Calculate the least common multiple of 6 and s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1406.939 times -18\nAnswer: 25324.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173933762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305916990 to the power of 1\/2, to the nearest integer?\nAnswer: 36137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 82+4\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -26. Let u be (-2140)\/(-30)*3*f. Let m = u - -665. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55383 + 25440. Is p at most as big as -29943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19257861 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*v + 4*v = 252, 2*w = -4*v + 128. Calculate the remainder when w is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (910*d - 910*d + d**3 + 21*d**2 + 1)*(-2*d - d**2 + 2*d).\nAnswer: -d**5 - 21*d**4 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13685995 or 13685994?\nAnswer: 13685994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1300262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11320\/(-2547) - (-28)\/6. Which is the third biggest value? (a) -21 (b) 29 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2*u + 130*a**2 + 76*u wrt u?\nAnswer: 2*a**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) -6 (c) 59 (d) 1\/3 (e) 1\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1406343?\nAnswer: 3, 468781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(300))**2 - sqrt(12)*1*-3.\nAnswer: -34*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629876 to the power of 1\/2, to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-10)\/8)\/(3\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-5)\/(-2))*(-14)\/168. Let n(o) = -2*o**2 - 2*o - 1. Let i be n(-1). Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/18*14)\/((-35)\/(315\/4)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**2\/7 - 48*t\/7 - 135\/7 = 0?\nAnswer: -45, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31348213?\nAnswer: 13, 37, 65173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - k + 12. Solve -p + 13 = 2*j, -3*j - 23 = -k*p - 5*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -228*l - 235*l - 161*l + 722*l as i*l + a and give i.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19008454?\nAnswer: 2, 37, 61, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-28))\/(20\/(-60)). Let m = -5 - -7. Which is the smallest value? (a) 0.16 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let y(z) = -41*z. Let o(w) = -124*w. Let t(g) = 3*o(g) - 8*y(g). Give q(t(j)).\nAnswer: 44*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7799\/1418*12\/55?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590\/57 greater than or equal to 2\/38983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 3 = v + 2, 2*v + 0*v - 13788 = -2*m - 13798 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 346*t + 4494. What is c(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.141 + 0.20754698.\nAnswer: 0.06654698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 560 - 559.9942. Round d to 4 decimal places.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -14159*u + 1269. What is g(0)?\nAnswer: 1269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.298586ml in litres?\nAnswer: 0.002298586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + 1.1. Let a = -15 - p. Let u = 16.9999986 + a. Round u to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4 + -3 + -1) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (4 + -1 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 10564, 15 in descending order.\nAnswer: 10564, 15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8899783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 + 52. Let t be ((-6)\/j)\/(2\/4). Let f(b) = 3*b**3 + 2*b**2. Let c(g) = -3*g**3 - 3*g**2. Calculate t*f(q) + 2*c(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 13, 17, 23, 31, 41, 53?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-124)\/186 + 4\/(12\/(-25)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16175960 divided by 6?\nAnswer: 8087980\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -44.3. Let b = q - 6.3. Let s = -4.92 + -0.08. Sort b, s, -2 in descending order.\nAnswer: -2, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p + 62. Let t be m(14). Which is greater: -43\/2 or t?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -204649 and -71 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 2*d + d**2 + (d - 1 + 1)*(0*d + d - 3*d) + 6 - 6 - d**2 - 5*d**2 + 3*d**2 + 0*d**2 + 2 - 3 - 3*d**2 + 5*d**2.\nAnswer: -2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d6dc6 (base 16) in base 4?\nAnswer: -23112313012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j - 48*j = -27. Solve 5*q = 2*y + 30, -2*y + 3*y + 2*q - j = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*((y\/(y**(5\/2)\/y*y))\/y)\/y*y)\/y**5*y**(-3\/2)*y*y\/(y*y*y*y**(-6)*y*y) assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 3:04 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354239 is divided by 328?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = 2*q - 8*l - 87, 2*l = -2*q + 88. Let t(g) = -g**2 + 10*g - 1. Let s be t(7). What is the greatest common factor of s and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2. Let p(q) = 144 - 71 + 8*q + 15*q - 73. What is p(b(d))?\nAnswer: 69*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5615149 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16492)\/93)\/(-38))\/((-2)\/(-18)*2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 m, and 1 d when four letters picked without replacement from ucztcdm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u**3 + 7*u**3 + 4*u**5 + 2*u**5 + 0*u**5 - 4*u**5 + (-u**5 + 4*u**5 - 2*u**5)*(1 - 2 + 0) + 7*u - 2*u - u + 1 + u**5.\nAnswer: 2*u**5 + 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -279.81 + 278. Let g = 1.8064 + h. Round g to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -112 + 11d?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*a = 413*a - 12 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.89586563 + -0.2258651. Let w = 0.67 - c. What is w rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.4 in 2\/11, 1\/2, -1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*q + 106*q = 585. Suppose q = 7*i - 2234. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 12*n**2 + 3*n - 10. Let p = -474 + 525. Calculate the remainder when p is divided by v(12).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (108\/(-2))\/(-2 + 1). Suppose -3*m = -51 - j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*t - 13*t + 14*t - 1054 = 4742 for t.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(243)*-1*2 + (sqrt(243)*1 + 4)**2 + (((sqrt(48)*-6 - sqrt(3)) + sqrt(24)\/(sqrt(8) + sqrt(8)*-3))*5)**2.\nAnswer: 54*sqrt(3) + 196099\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-40))\/((-6)\/(-5)) + (-300)\/540\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 930186214 divided by 1.\nAnswer: 930186214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 21060*a + 22176180.\nAnswer: 5*(a + 2106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72\/32 - 1\/4. Let c be 30\/9*3\/m. Solve 8 = -q - 3*q - 2*u, -c*q + 3*u = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 8 + 7 = 0. Suppose 10 = b*n - 10. Suppose 3 = p - 2*j, 3*p + n*j - 49 = -0*j. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*o = 30*o + 420 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 209\/2 + -314\/3. Put c, -0.3, 2\/3 in increasing order.\nAnswer: -0.3, c, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 7*k + 16. Let c be f(9). Let q(h) = h**2 + 5*h. Let d be q(-5). Let x(b) = 2 - 5*b - 5 + d. Calculate x(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-24) - 20\/3)*9\/(-60). Let y(f) = -2*f - 3. Let q be y(-2). Is a at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6))\/(1 + 10\/(-12)). Suppose -6*k = -k + 5*g - 10, q = -3*g. Sort -5, 52, 1, k in decreasing order.\nAnswer: 52, k, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 303491 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 499859829 to the power of 1\/2, to the nearest integer?\nAnswer: 22358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46046*m - 106062 wrt m?\nAnswer: -46046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.38*0.77\nAnswer: 1.8326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*z + 32*z + 28*z + 32*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -17. Suppose b = -3*j + 1. Let u be -3 + (-18*1)\/j. Solve u*v + 4*l = -17, 0 = -v + 2*l + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 951 = 3036. Let z = s - 415. Solve -n - 4 = 2*g - z, 0 = -3*n - 3*g - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -746 (c) -904\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 12. List the prime factors of h(3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -7*p + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 99690\/24 + (-2)\/(-8). Suppose -13*t - 1421 = -u. List the prime factors of t.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 (base 11) to base 13\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -30\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/(-7) + 13)*2\/2. Suppose 11*d = t*d + 40. Does 35 divide (-11 + d)*32\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p - 32*a + 45*a + 306, -6404*p + 5*a + 106 = -6405*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*a**6 - 6633*a**3*s**3 - 11*a**2*s**3 - 18*a**2*s**2 + 3*a**2 - 4*s**3 wrt a.\nAnswer: 720*a**3 - 39798*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 202112022001?\nAnswer: 202112022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39305200 and 160?\nAnswer: 78610400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 0.1373625.\nAnswer: 0.0054945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7225601960.\nAnswer: 2, 5, 19, 1663, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - t + 3*t)*(2 + 0 - 1) + 3*t - 3*t + t + (28 - 8 + 1)*(2*t + 2*t - t) to the form w + o*t and give o.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 493091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 42141*w. Let j(l) = 4079*l. Determine j(o(m)).\nAnswer: 171893139*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -13*b - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0.001, 5\/2, -0.07, -39\/5, -1\/4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*v - 3. Let h be 3 + 2 + v + 3. Solve 3*m = h*a - 7, -2*a = -3*m + 5*m + 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 283.4.\nAnswer: 28.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -4*y + 61 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -7, -0.5, 0, -3923, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3 - 972*l**2 - 233253*l + 1434726 = 0. Calculate l.\nAnswer: -489, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4244)\/(-8)*1*(-17 + 111) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 6.7. Suppose -3*q - 45 = u - 41, -5*q + 2*u + 8 = 0. Sort q, -4\/3, g, -0.3 in increasing order.\nAnswer: -4\/3, -0.3, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 78 + 21 + 19 + 246*x + 15.\nAnswer: 246*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/94 and 13\/3.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 0.108, 3\/31, -3\/5, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 958.5 - 546. Let x = -421 + g. Round x to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*k + 84*k + 77*k - 410*k + 85*k + 80*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6856, -11291, -15726, -20161, -24596, -29031?\nAnswer: -33466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f - 10*f**2 + 1 - 9*f**2 - 7*f**2 + 31*f**2 - 3*f**2. Give o(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/10*-1*(-126 + 119)*16\/(-70)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*a**3*l**2*v - 189*a**3*l*v + 8*l**2*v + 28*v wrt a.\nAnswer: -9*a**2*l**2*v - 567*a**2*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b77 + 4?\nAnswer: -1b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171)*4)*-3.\nAnswer: -45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -9\/12479 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 19*h**2 - 69*h + 33. Let g be d(-14). Round g to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2 = -2*f, 0 = 3*n - 11 - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -18, -212, -3, -6\/7, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/6)\/(4 - 2))\/(2\/24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.6733, -16, -1, 11 in descending order.\nAnswer: 11, 2, 0.6733, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 4*l - 2*l)*(3 + l - 3) + 2*l**2 + 36*l - 28666 + 28666.\nAnswer: 4*l**2 + 36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -3.1. Let v(o) = -2*o**3 - 4*o**2 + 3*o - 4. Let n be v(0). Which is the smallest value? (a) n (b) 0.4 (c) i (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*2.3.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4115 and 35527576.\nAnswer: 35531691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95902469.\nAnswer: 13, 71, 103903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 - 8727*p**2 - 236271075*p + 236279799 = 0. What is p?\nAnswer: -7539, 1, 10447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**5\/30 - 10*q**2 - 6*q. Let z(k) be the first derivative of j(k). Let i(y) = -12*y**2. Give z(i(b)).\nAnswer: -288*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -658, 37, -5, 4 in decreasing order.\nAnswer: 37, 4, -5, -658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113716*i**3 + 149*i**2*p**2 - 66*i*p**2 + 81269*p**2 wrt i.\nAnswer: 682296*i + 298*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**2 - 75*t - 18. Let w be n(11). Solve 4*b - 16 = -4*r, -r = w*r - 5*b - 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((348\/30)\/(-29))\/(1\/10*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5577964346 to the nearest integer?\nAnswer: 74686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 0.98?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/72 and 61\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.3 + -19. Do g and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.27 - -0.07. Let f = -2.2 - -2. Let g = f - w. Which is the third biggest value? (a) -3 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. Suppose 4 = 3*g - m*g. Suppose 18*u = -7*u + 250. Solve 2*d - u = g*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 - -28)\/(-220)*11. Let j(k) = k**2 - 6. Let n(z) = -z**2. Determine f*j(g) - 6*n(g).\nAnswer: 5*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20.3104 and -0.13061086.\nAnswer: 20.17978914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose -2*s + b = -4*l, -3*s - 5*l + 35 = -1. Let m = 2 + -1. What is the greatest common factor of m and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**8\/840 + 4*x**7\/525 + x**6\/60 + x**5\/75 - x**2. Let k(v) = 0. What is v?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 5078\nAnswer: -1\/2539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 716850 (base 10) to base 6\nAnswer: 23210430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -27365892 divided by -3?\nAnswer: 9121964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1701, -6380, -14185, -25122, -39197, -56416, -76785, -100310?\n\"Answer: -x**3 - 1557*x**2 - x - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 5*d**2 + 9*d - 7. Let b(l) = -6*l + 2. Let a be b(3). Let j = -10 - a. What are the prime factors of v(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 23*s - 18)*(0*s + 4*s - 6*s) - 1 - 9*s**2 - 3 + 16*s**2 to the form k*s + b*s**2 + m and give b.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*7 + (4288\/(-120) - -29)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgwrssscwfwrr. Give prob of picking 1 f, 1 s, and 2 r.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -5 + 7 - 4. Suppose -l + 3 = 0, -b*l - 18189 = -3*t + 21084. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10 - 10*t**2 + 3*t**2 + 8*t**2 - 6*t. Calculate the remainder when 32 is divided by b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101121202121 - -1112?\nAnswer: -101121201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.2, -7\/6, -1.1, 3 in descending order.\nAnswer: 3, 0.2, -0.4, -1.1, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x**4 - 126*x**2 - 48*x**3 - 53*x**2 + 447*x**2 + 632*x**2 wrt x.\nAnswer: 96*x - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88 + 155. Let m = w - 61. Calculate the remainder when 7 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 15*m**2 - 3*m - 6. Let t be h(7). Suppose 5*j = 2*k + 539, -187 = -2*j + 3*k + t. Let o = j - 24. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -10, -9 in decreasing order.\nAnswer: 5, -5, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 + -48938?\nAnswer: -48937.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 12. Let a be k(12). Suppose -4*l + 71 = -4*f + 7, a = -2*l + 4*f + 22. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j - 71 + 1058 - 3 = 59*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12875)\/(-4) - 2\/(-8). Suppose -6*y = -5761 - 23525. Suppose 0 = -10*t - m - y. What is t rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**3 - 102*g**2 + 12*g - 284. Give a(34).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9195\/55 + 2\/(-11). Let k = o - 345. Let m = k + 268. Calculate the remainder when m is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*r + 24*r - 15*r - 2)*(1 - 6 + 3)*(0*r**2 + r**2 + 0*r**2).\nAnswer: 58*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 435 = 5*i, -4*i = 3*z - z - 348. Let p = -51 + i. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 11:34 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -854269434 + 12.14\nAnswer: -854269421.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1048*x + 1500 = -948*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7. Let w(t) = -6. Let i(c) = 5*d(c) + 6*w(c). Let m(y) = 3*y. Let b(s) = -2*s**2 - 13*s - 5. Let o(k) = b(k) + 4*m(k). Determine 6*i(q) - o(q).\nAnswer: 2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1024004332?\nAnswer: -1024004334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 19159464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = 3*q. Let r = q + 6. Let i be (-278)\/r - 3\/(-6). Calculate the greatest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h**3 - 4*h**2 - 5*h - 4. Let i(a) = -12*a + a**3 - 13*a + 26*a. Suppose 2*v = 4*q + 10, 3*v - 1 = 2. Let z(p) = q*i(p) - n(p). Determine z(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zommzooommmzozzoomom. What is prob of sequence ooo?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -227.586 + 232.8. Let y = -0.214 + d. Let m(i) = i**2 - 2*i - 2. Let n be m(2). Which is the closest to -2\/5? (a) -2\/7 (b) n (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l**2 - 2*l - 12*l + 7*l + 5*l - 7*l**2.\nAnswer: 19*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/10627 (b) -2\/79 (c) -32 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1)\/(-1 + 3). Let h = -0.19 - 0.11. Let d = -3.1 - -3. Which is the nearest to x? (a) h (b) d (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as 334\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 28169640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 - -28. Suppose 3*b + s = 195. Calculate the highest common divisor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 10*c**2 + 11*c + 1. Let j be k(11). Which is smaller: j or -10\/97?\nAnswer: -10\/97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -0.03, -3\/4, 5\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s + 8*s - 4 + 8*s - 25*s + 6.\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 510.804 - -0.196. Let a = -993 + q. Let l = a - -505.3. What is l rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from tkkkkqtbbkbt.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**3 - 5*z**2 + 7*z + 6. Let m(b) be the first derivative of 7*b**4\/4 - 3*b**3 + 13*b**2\/2 + 11*b + 26. Give -11*j(v) + 6*m(v).\nAnswer: -2*v**3 + v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0*r + 1\/60*r**5 + 15 + 1\/6*r**3 + 1\/6*r**4 + 4*r**2. Calculate k(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*(sqrt(75) + 4))**2 + 3 + 4)*6.\nAnswer: 2160*sqrt(3) + 4950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -1\/7102?\nAnswer: -1\/7102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 6*z**2 - 6*z**2 - z**2 - 5)*(-2*z**2 + 3*z**2 - 2*z**2).\nAnswer: z**4 + 2*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1355085 - 2?\nAnswer: -1355087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 - 2*z**4 + z**2 + 3*z**4 + 0*z**4 + 2*z**4 + 0*z**4 + (-z**3 + 1 - 1)*(-z - 3 + 3).\nAnswer: 4*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 3*g - 13 - 1 + 129*g**2.\nAnswer: 129*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**16\/b**(-7))**(2\/13) assuming b is positive.\nAnswer: b**(46\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from {t: 8, r: 5, e: 5}?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 38*z**2 + 44*z**2 + z - 84*z**2 + 2 in the form r*z + n + a*z**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 222 and 52901157.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4366 (base 7) in base 10?\nAnswer: -1567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (348\/(-1566))\/(91\/189)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46738, 46704, 46648, 46570?\n\"Answer: -11*p**2 - p + 46750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 7*x + 9. Give m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**3 - m**2 + 1. Determine d(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 - f**3 - 369 - 2*f**3 - 96*f**2 + 739 - 371 + 8*f in the form x + l*f**2 + q*f + v*f**3 and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = 3*g, 3*g - g + 7 = -5*x. Suppose 0 = -g*a - 8 - 8. What are the prime factors of 3\/(-12) + (-65)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 4*m + 49673. Calculate l(-221).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2068 and 33840.\nAnswer: 372240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -11, -5 in ascending order.\nAnswer: -11, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 2\/((-8)\/12). What is the smallest common multiple of 1\/o - 400\/(-48) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43721?\nAnswer: 43721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-10 - -35) + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 14 = 3*t, -2*b + 5 = 3*t - 5. Let x be (-4)\/b + 1*12. Solve 0 = -3*k + k - x for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (468\/(-2184)*72\/(-4))\/((-7)\/(-49)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 12 = 7*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 14*t = -28. Solve 0 = 2*m - 2*i + 12, 0*m + 5*i = 4*m + t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, 11, 0 in decreasing order.\nAnswer: 57, 11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10*w - 5*w = -2, 3*b - 16 = w. Let r = 5 - b. Sort -4, 0, r in descending order.\nAnswer: 0, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 - 20*j - 19. Give l(-14).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*o + 16 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/5 (b) -8 (c) 0.02 (d) -0.07 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/4 + 1830\/(-20))\/(-1). Suppose -5*u + 4*u + 3*m = -9, -2*u + 4 = m. Suppose -2*z - u*t = -r, 4*z = 3*t - t + 180. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3238 - 119*d - 8*d**3 + 50*d - 53*d - 63*d - 18*d wrt d?\nAnswer: -24*d**2 - 203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-6) - (-47)\/(-3). Let r(k) = -k**3 + 13*k**2 - 26*k - 14. Let g be r(10). Let u = z + g. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4782 - -1.2782. What is the second smallest value in h, 0.1, -0.4, 18, 4\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8618795 and 5608.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 2*d**4\/3 - 2*d**3\/3 + d**2 + d. Let p = -326 + 1034\/3. Calculate the common denominator of p and v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (1 + -5)) + (49 - (-11 + -6) - 4)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/4186 and -29\/230.\nAnswer: 20930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)\/(sqrt(5) + sqrt(10)\/sqrt(2)))**2 + sqrt(91)\/(sqrt(7)*2))*5.\nAnswer: 5*sqrt(13)\/2 + 65\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 + 114*b + 726. Calculate o(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**3 - 28630*b**2 + 114580*b - 114600 = 0.\nAnswer: -5730, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-5 - -12)) + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -14, 2, -2 in descending order.\nAnswer: 2, -2, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16030727 - k**2 + 16030727.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-15)\/125)\/((-4)\/20) and -57\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874235 a multiple of 1221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(245) - (-3 + sqrt(245))) + 2 + -5 + (sqrt(105)\/sqrt(7) + sqrt(15))\/sqrt(3)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-110)\/(-40))\/(1\/4). Suppose 4*n + 2 = -6, -4*n = -v + w. Let f = -76 - -76. Solve 4*k = -v*r + 11, -10 = 5*k - f*r - r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 4:22 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, f: 5, r: 1}. Give prob of picking 2 f.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nct when three letters picked without replacement from trnpprrcpn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from aqgqg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d - 3. Let i(b) = 6*b - 10. Let o(n) = -n**2 + 9*n - 7. Let x be o(9). Let v(q) = x*h(q) + 2*i(q). Differentiate v(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/6*6\/2. Suppose -3*u - 3*w + 6 = 0, -5*u + x = -3*w - 9. Suppose -5*f + q + 27 = 0, 2*f = -7*q + 2*q. Sort u, f, 3.\nAnswer: 3, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877243 equal to 877107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677087 is divided by 157.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2410915 centimeters?\nAnswer: 2.410915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 6*k**2 - 5*k + 4. Let v be r(-7). Let s = v + 12. Suppose 84 - 18 = s*d. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4*h - 2 - 37*h to o + j*h and give j.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1748, -2, 1\/5, -1\/5, 258.9, 2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3) + (-876)\/(-18). Let n = 90 - c. Suppose -13*u - n = -14*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + 0*h**4 + 0*h**4 + (3 - 3 + 2)*(0*h**4 + 0*h**4 + h**4) + (-100*h + 8*h**3 + 100*h)*(-4*h - 2*h - 3*h).\nAnswer: -68*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -12. What is the least common multiple of i and 13?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1096, -4367, -9816, -17443, -27248, -39231, -53392?\nAnswer: -69731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1145 + 2076. Suppose 3*t = 4*j - 951, 4*j - 3*t + 4*t - p = 0. What is the greatest common factor of 26 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 219 = 2*m + 3*m, m + 201 = 2*w. Let l = w - 40. What is the remainder when l is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 23. Let k = 47 - v. Calculate the remainder when k is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 7:34 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -284057318*r**3 + 170801199 wrt r.\nAnswer: -852171954*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-816)\/(-357)*(-21)\/6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5*a - 22, -7*j + 3*j + 4 = -3*a. Let t be j\/(-5) + (-3)\/(-5). Let v(s) = -8*s**2 + 2*s - 1. Give v(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22365 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2761211 is divided by 355?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (15910\/344 + 6).\nAnswer: -97\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (27189\/12)\/9 - 5\/(-4) is divided by 66.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 105863 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1049027 divided by 149861.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1325 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 253, 270, 305, 364?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 2\/87, 2\/9?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 17, t: 3}.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 13*a + 2*a. Calculate the highest common divisor of a and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**5\/20 + 2*d**4\/3 - d**3\/3 + d**2\/2 - 2*d. What is the remainder when v(-8) is divided by (-3)\/((-6)\/20) + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*h - 2*h**2 + 321*h + 38256*h**3 - 647*h.\nAnswer: 38256*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*v - 2*j = 47*v - 6, -2*v = -j + 6. Let n(z) = 12*z**2 - 2*z + 1. Let f(h) = -24*h**2 + 5*h - 2. Calculate v*f(t) - 5*n(t).\nAnswer: -12*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1688 - 2*z - 3*z + 1688.\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/5612 and -33\/10.\nAnswer: 28060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 87*f - 40. Let y be g(3). Suppose -3*i + 19 + y = 0. Does 40 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -293212, 3, -4, 5?\nAnswer: -293212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) - (sqrt(2160) - (sqrt(2160) + sqrt(2160) + (sqrt(2160) - 3*sqrt(2160)))))\/(sqrt(5) - sqrt(20)\/(sqrt(4)*-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 47\/3. Let y be (8\/12 - (-376)\/(-240))*3\/9. Sort b, -4, y in decreasing order.\nAnswer: b, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8\/5 (b) 4 (c) -1\/71 (d) -11 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.6 (b) 3 (c) -1\/4 (d) -16 (e) -0.4 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1db10 + -68?\nAnswer: -1db78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/27)\/(2 - 31). Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-20))\/(88\/12)*(-1)\/(4\/(-10))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103372468 to the power of 1\/3, to the nearest integer?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51120 - 5?\nAnswer: 51116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -164250971, -164250969, -164250967, -164250965?\n\"Answer: 2*v - 164250973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.7. Let p = -0.12 - 4.88. Let b = -0.8 + 3.8. Sort b, p, v in ascending order.\nAnswer: p, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 divided by 79?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16733 + 16733.2. What is the fourth biggest value in 2\/5, 1.7, -1, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 7*a**2 - 11*a + 6. Calculate the remainder when j(4) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, b: 1, z: 3, f: 1}. What is prob of picking 1 j and 1 f?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 1)*-1 - (-364 + -12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-3 - -6 - 0). Let z = 52 - 181. Let f = z - -905\/7. Which is the second biggest value? (a) -1\/10 (b) f (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 35*p + 10. Let v be m(7). Let s = v - 170. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + 6 - 5) - (9 + 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2278 and 2567?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 15, -s + 5*k + 37 + 429 = 0. Let m = 432 - s. Which is smaller: m or 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 34 = -2. Suppose 5*m = m - r. Sort m, 5, 0 in increasing order.\nAnswer: m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -3) + -11 + 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 23*a - 147 + 819 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*p**3 + 4*p**2 + 48*p**3 - 3*p**2 - 127*p**3 + 565 in the form z*p + o + n*p**2 + m*p**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**3 + 9*l**2 + 7*l + 12. Let c(h) = 13280*h**2 - 6635*h**2 + 3 - h**3 + 2*h - 6643*h**2. Determine -9*c(y) + 2*w(y).\nAnswer: y**3 - 4*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4\/3 + 302*n**3\/3 - 2225*n**2\/3 - 938*n\/3 = 0.\nAnswer: -67, -2\/5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9)*w*w**0)\/(w\/(w*w**(-1\/4)))**(2\/39) assuming w is positive.\nAnswer: w**(283\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + n + 7. Calculate i(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**5\/10 + u**4\/2 - 4*u**2 - 16*u - 15. Let h(i) be the first derivative of v(i). Factor h(w).\nAnswer: 2*(w - 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - 5*a**4 + 3*a**4 + (-3*a + 3*a - 2*a**2)*(a**2 + 2*a - 2*a) + 8*a**4 - 5 + 5 + 3 + 3*a**4 - 3.\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110011100101110 (base 2) in base 13?\nAnswer: 7a687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9*n + 5*n - 6878 + 17*n - 13*n + 3194*n**3 wrt n?\nAnswer: 9582*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9613572180 and -0.3?\nAnswer: 9613572180.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -4, -1, 451, 63.\nAnswer: -4, -2, -1, 6, 63, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -9861092426?\nAnswer: -9861092422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**3 - 3*o**2 + 2*o + 2. Let l(u) = -23*u**3 + 10*u**2 - 7*u - 7. Let w(h) = 7*c(h) + 2*l(h). What is the units digit of w(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 - -0.46?\nAnswer: -116.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6 = 3*o, o + 15*t = 18*t - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*f - 152088 = 0, -22*d - 202752 = -26*d - 4*f. List the prime factors of d.\nAnswer: 2, 19, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = 4*r, 5*x = -4*r - 6. Let g(p) be the second derivative of 0 + 2*p**x - 2*p + 1\/6*p**3 + 1\/12*p**4. What is g(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**2 - 34*f - 14. Calculate v(-11).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*c + 4087 = 3853 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**3\/3 - 13585442*i**2\/3 + 4528480*i = 0.\nAnswer: 0, 1, 6792720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2196303 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 7:23 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001753045 rounded to five dps?\nAnswer: 0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 603126.9kg in micrograms?\nAnswer: 603126900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37967979, 37967981, 37967983, 37967985?\nAnswer: 37967987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 447 = 2*f + 3*a, 659 = 4*f + 2*a - 255. Let g = 280 - f. Calculate the remainder when 194 is divided by g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -32. Let i = -41 - y. Suppose 2*x + 3*a - 489 = 2, i = -2*a + 10. Calculate the greatest common factor of 34 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -623 - -3097\/5. What is the nearest to 4\/7 in -1, -2, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/2)\/3 + 11\/4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2768\/48 - (2 + 7\/(-3)). Calculate the highest common factor of y and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010110111011 (base 2) in base 10?\nAnswer: 5563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -345425 - 5?\nAnswer: -345433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 2. Let s(c) = -3*c + 1. Let k(p) = 76*p - 3878. Let f be k(51). What is f*s(z) + 3*l(z)?\nAnswer: -6*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -66*k**2 - 195*k + 11. Determine m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 11.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*w = 270, -d + 5*d - 1020 = -w. Let t = 634 + d. Is 6 a factor of 12\/(-42) - (t\/(-21) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 17*y**3 + 6*y - 2. Let l be d(8). Let o = 26650 - l. What is o rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, -2, -44, -124, -254, -446, -712?\n\"Answer: -2*g**3 - g**2 + g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 2:02 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143\/20 + 32\/5. Which is the nearest to 0.1? (a) 5 (b) m (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-5))\/((-14)\/140). Let v(b) = -b**3 + 4*b + 2. Let g(p) = p. Calculate n*g(w) - v(w).\nAnswer: w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.8 + -13.2. Let a = -30 - y. Put a, -18, 0.3 in increasing order.\nAnswer: -18, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrrjjrj. Give prob of picking 4 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 46*u**3 + 9 - 43 + 182*u**3 + 2*u**4 + 19 as w + y*u**2 + r*u + h*u**3 + m*u**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2083.48656 rounded to the nearest ten?\nAnswer: -2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(70\/(-25) - -2). Solve 2*b + k*z = -5 + 22, -2*b - z = -5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-25)\/(-20) + -2)*4\/(-15). Which is the closest to p? (a) -4\/3 (b) 6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 1:22 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 4*g - 6. Let f(q) = q + 2. Let h be f(4). Let l be i(h). Which is greater: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 12:55 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5 + 5 + 2*f + f. Let i be x(1). Suppose 5*b - b = -5*w + 24, -4*w - i*b = -19. Solve -w = -2*o + 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 35*s - 2 + 10 + 2*s + 0*s + 0*s - 2*s + 3*s + 2*s + (-2 + 2 + 2*s)*(-5 + 3 + 4) in the form r + a*s and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1227, -411, 953, 2865, 5325?\nAnswer: 8333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 a when four letters picked without replacement from aaquqaaiauuamua?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 5:34 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*y + 23. Suppose -i + y*m + 2 = -1, 15 = 5*i - 2*m. Is 26 + (-18)\/i + 3 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*r = s, -r = -s + 12. Suppose -3*f = 5*o - 21, 4*o + o = 5*f + 45. Let j = o - 4. Calculate the smallest common multiple of s and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 2. Suppose 3 = -5*u - 5*f - 37, 0 = -2*f - 8. Let l be (-5 - u) + 1*10. Suppose -m + 3*o - 5 = 0, m = 5*m - o + l. What is z(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/1443 + -20318\/41847. Let u be -6 + 3 + (-7210)\/(-2320). Let p = s + u. Which is the closest to 1? (a) 5 (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 175 - 121 - 54. Suppose 2*d = 36 - 10. Let f(z) = 12*z + 20*z - d*z + 20*z. Determine o(f(a)).\nAnswer: 39*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*q + 71*q = 1035. Calculate the greatest common factor of q and 483.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153)*1 + sqrt(153)))\/sqrt(9) + 5.\nAnswer: 5 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 greater than or equal to 54374218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 12. Let q(w) = -43*w - 2. Let n(d) = 22*d + 1. Let x(o) = -5*n(o) - 2*q(o). What is the remainder when x(-1) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {w: 1, y: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23201 (base 4) in base 9?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5216702 by -4.\nAnswer: 2608351\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75610010?\nAnswer: 2, 5, 7, 1080143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 142763397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**7\/105 - 8*l**6\/15 - 17*l**5\/2 + 8*l**4\/3 + 256*l**3\/3 - 33*l**2 - 2. Find c such that p(c) = 0.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2. Let b(t) = -5*t**2 - 7*t - 7. Let w(o) = 2*o**2 + 3*o + 3. Suppose 15 = -4*j - j. Let u(r) = j*b(r) - 7*w(r). Calculate u(m(g)).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1117 - -42.\nAnswer: -1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -m + 3*k, -5*m + 0*k = -4*k - 27. Suppose 0 = 4*d - 3*c + 171 - 506, -m*c - 252 = -3*d. Is 30 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*a + 3. Suppose -3*x + 36 + 18 = a*h, -2*x = 5*h - 36. What is the remainder when 35 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 + -86. What is the units digit of (-5334)\/(-9) + 0 + 2\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111101100111 (base 2) in base 15?\nAnswer: 25ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/(-3))\/3 + 3. Suppose -i*n - c + 2 = -2*c, 2*c = -2*n + 8. Let f = -1 - -4. Solve -f*k = -n - 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -8 - ((-154)\/(-110) - 8)\/(1\/(-5))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -1 + 3*f**2 + 3*f - 4*f**2 + 0*f + 4. Suppose 0 = 4*v - 4, -3 = a + 4*v - 12. Give c(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(220))\/(sqrt(360)\/sqrt(10)))\/(3*sqrt(176) - sqrt(11) - (sqrt(385)\/sqrt(7))\/sqrt(5)).\nAnswer: -4*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w - 38. Let y be v(7). Suppose -y*c + 4755 + 2777 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521*y = 516*y + 5*a + 8077075, y + a - 1615407 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 170*m**2 - 28*m - 145. Let x be t(-6). Solve c = -x + 6142 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3765144 to five decimal places.\nAnswer: 0.37651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*q + 22 = 0, q = t + 6*q - 20. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 2 + (936 + 561 - 816)*(0 - 2 + 1) + 2 + 1 - 4)*(1 - c - 1) as h*c + u and give h.\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 0 (c) 111 (d) -0.179 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 14*j**3 - 3*j**2 - 3*j - 2. Let t(c) = -29*c**3 + 7*c**2 + 7*c + 3. Let d(a) = -7*k(a) - 3*t(a). Find the first derivative of d(n) wrt n.\nAnswer: -33*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5*b*b*b**(1\/4)\/b*b assuming b is positive.\nAnswer: b**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y*y**2)\/y)**(-8\/7)*y**(2\/11)*y*y**8*y*y)**(5\/11) assuming y is positive.\nAnswer: y**(2545\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.06 + 0.06. Let g = -3 + 7. Let h = 4.4 - g. Which is the nearest to h? (a) o (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 236*y**5 + y - 107 wrt y.\nAnswer: 4720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 + (-90)\/4. Let q be 204\/(-33) - 4\/m. Let w be (q\/9)\/((-2)\/3). Which is smaller: w or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 7*c**2 + 13*c + 12. Let m(n) = -n**2 - 6*n - 5. Let w be m(0). Let h be a(w). Let i(s) = -163*s - 4. Is i(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 133? (a) -20 (b) 13 (c) 16.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*i + 3*i - 240*i + 18163 = 109*i for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/2 - m**3\/2 - m**2 - 24*m. What is the smallest common multiple of o(2) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 362083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19358445 divided by 5?\nAnswer: -3871689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1003233 (base 4) to base 16\nAnswer: 10ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v**2 + 17 - 4 - v - 9 as n + w*v**2 + z*v and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2561159, -2561157, -2561155, -2561153?\n\"Answer: 2*x - 2561161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 163092224*p - 6649768382316544.\nAnswer: -(p - 81546112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1019*b + 1 - 1 - 1021*b. Suppose 2 = 2*y - 4*y. Calculate t(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5509 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 + 784*u**2 - 1179*u + 155252. Determine a(391).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2782 is divided by 186?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 1190*o + 145173. What is y(138)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 434 by -2.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*t - 2*y - 15, y - 64 = 4*t. Let p = t - -23. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 56.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027020 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6208356431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97 + -35. Let a be s\/(-34) + -4 + 0. Let o = -0.6 - -0.3. What is the third smallest value in 0.3, a, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-14) - 60\/(-35). Suppose 0 = 3*v - 8 + d. Let f(o) = -3*o**2 - o - 1. Let t(k) = -13*k**2 - 4*k - 4. Determine v*t(c) - 9*f(c).\nAnswer: c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 2. Let a = b + 6. Solve r = -3*g + 17, 0 = -4*g - a*r + 2*r + 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 7eb804?\nAnswer: -7eb807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -22473*g**5\/7 + 538683*g**4\/7 + 16098*g**3\/7 - 144*g**2 = 0. Calculate g.\nAnswer: -2\/33, 0, 7\/227, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106 and 318.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-17))**(-36)*(o*o**(-11))\/o**13 assuming o is positive.\nAnswer: o**589","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47*(-96)\/(-12032))\/((-2)\/272).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*a + 21 = -131, 0 = 2*a. Suppose 0 = -117*b + 110*b + 518. Calculate the remainder when b is divided by i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.367867077 to 3 decimal places.\nAnswer: -0.368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 452005 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let p = 103 - 96. Suppose 37 = u*y - p. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -226, -228, -230, -232?\n\"Answer: -2*v - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*q + 13, 2*b + 3*q - 2*q + 9 = 0. Let s(v) = 526 + 0*v - 524 - v. Give s(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 0 - 0 - -12. Suppose z - 4 = 3*z, 2*h - 3*z = 36. Let s = h - 11. Calculate the highest common factor of u and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 i when three letters picked without replacement from hlihifi.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271, 282, 301, 328?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 45417*r + 909540.\nAnswer: -3*(r - 15159)*(r + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 462 divided by -14.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 smaller than 128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -10747 (c) 6 (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {q: 7, v: 9, k: 3}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(150) - sqrt(150)) + sqrt(150))\/sqrt(5))\/((-2*sqrt(100))\/sqrt(10)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 238 - 221. Sort l, 4, -1\/4 in ascending order.\nAnswer: -1\/4, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18935\/541 - (-13 - -2).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y. Suppose y = 2*t + 2*t - 36. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*k + 16 = 0, 0 = -5*i + 2*k + 6 - 35 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 162040896 divided by 9\nAnswer: 18004544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (795 - 2836 + 103032*z + 1018 + 1023)*(2*z - 2*z + 2*z**2) to the form r*z**2 + y + f*z**3 + i*z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/245 and -26\/3495?\nAnswer: 171255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 9, o: 6, d: 2, y: 2}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-4) - (-12)\/(-24). Let r(t) be the first derivative of t**4\/4 + t**3 + t**2 - 1. Let i be r(d). Solve 5*f + q + i*q = 15, f = -5*q + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 266 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18304 or 18302?\nAnswer: 18304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 3. Let p(j) = 2 + 0 - 3 + 2. Let g(u) = -2*h(u) - 6*p(u). Let q(s) = -2*s - 2*s - 11*s + 2*s. Give g(q(l)).\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**3\/3 - 5535. Let u(c) = 7938*c**2. Give u(f(r)).\nAnswer: 7938*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-1)\/(-1)*-1). Suppose 5*q - 563 = -f*j - 0*j, -q - 3*j + 103 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*k + 5*k - 14 = 0, -8 = -4*k. Let v = 10.577 + 0.023. Let n = -2.6 + v. Sort -5, j, n in descending order.\nAnswer: n, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + sqrt(27) + (sqrt(3267) - -1*sqrt(3267)))\/(-2*sqrt(1296)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 6*f - 12. Let w be h(6). Which is smaller: w or -92\/7?\nAnswer: -92\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*s**3 + 2132*s**2 + 20544*s + 18432.\nAnswer: 4*(s + 1)*(s + 96)*(5*s + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3896.5275 nanoseconds to hours.\nAnswer: 0.00000000108236875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + v + (2*v + v + 0*v)*(-3 + 5 - 3))*(-22 + 81 - 12) + (0*v - v + 0*v)*(-2 + 6 - 3).\nAnswer: -95*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 + 2*m**2 - 15 - 73 - 4*m**2.\nAnswer: m**2 - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 108*f - 108*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**3 - 15*j**2 + 15*j + 15. Suppose -4*p - 20 = -9*p. Let h(t) = t**3 - 4*t**2 + 4*t + 4. What is p*k(q) - 15*h(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 154 = -24*t. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 0*a + 4*a)*(3 - 5 + 3).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 7316140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2376 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from qoxooooqioqo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.7? (a) 6\/733 (b) -2\/7 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxxxxxxxvxxxxxvx. Give prob of sequence vx.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l + 2. Give j(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 243414397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5464 - -1468?\nAnswer: 6932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798 is divided by 80?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 7. Let z be k(8). Let v be 3\/(-2)*6*-3. Let s = z + v. Solve 3*u + u = -s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 202273405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v. Let h(g) = -3*g - 3. Let a(x) = 4*c(x) + h(x). Let n = 9 - 5. Let s(p) = 2. What is n*s(b) + 2*a(b)?\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35420)\/(-598))\/55*-26?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -1476359.\nAnswer: 20\/1476359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8589796835?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -252 or -222?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744062 is divided by 486?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6506 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 484, 481, 476, 469, 460?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o**2 - o**2 - 5*o**2 + (o - 2*o + 0*o)*(-4*o + 3*o + 2*o))*(-3*o + o + o) as g*o + x + m*o**2 + h*o**3 and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*s**3 + 15*s**3 - 3*s - 1 + 14 + 30*s**3 + 29*s**3 wrt s?\nAnswer: 804*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -5. Find the third derivative of -y**2 + y**3 + a*y**3 + 6*y**2 wrt y.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k - k + 2*k)*(1 + 3 - 5) + 19833 + 19841 + 41*k - 39672 to the form u*k + i and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5)*200\/(-16). Solve 2*u - 20 = -k*y, -8*y + 12 = -5*u - 5*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f. Let n(y) = 2*y**2 - 40*y - 56. Calculate c(n(z)).\nAnswer: -8*z**2 + 160*z + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292939482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(19) + -4 - (-3 + (sqrt(19) + 3 - sqrt(19))) - (sqrt(1216) + -5 - (sqrt(19) + ((sqrt(38)\/sqrt(2) + -1)**2 - sqrt(19)) + sqrt(19))).\nAnswer: -8*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 3:56 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/3 of a decade in months?\nAnswer: 2440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c - 10. Let d be ((-45)\/10 - -4)*(10 + 0). Let r(m) = -5*m + 6. Let l(w) = d*r(w) - 3*z(w). Let p(n) = 2*n. Calculate l(p(k)).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -3*k - 7*d + 46, 0 = k + 5*d - 20. What is the remainder when 103 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241*5600.047.\nAnswer: 1349611.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6827.1 minus -1?\nAnswer: -6826.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m. Let f(i) = 84824*i. Calculate t(f(s)).\nAnswer: -254472*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19239, -19224, -19229, -19266, -19347?\nAnswer: -19484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -86, -92?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719013 to the power of 1\/3, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -27*d**2 + 8553*d + 2016. What is p(317)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 95. Calculate the greatest common divisor of s and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u**2 + 1278*u - 5164. Calculate q(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74666, -74607, -74534, -74447, -74346, -74231?\nAnswer: -74102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 780318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -137*j**5 - 2185*j**2 - 34*j + 17. Let g(o) = -23*o**5 - 364*o**2 - 6*o + 3. Let n(a) = -34*g(a) + 6*v(a). Find the third derivative of n(q) wrt q.\nAnswer: -2400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8*m - 30. Let r(h) be the second derivative of 0*h**4 - 6*h + 0*h**3 + 5\/2*h**2 + 0*h**m + 2\/15*h**6 + 0. Differentiate r(f) wrt f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7819, -7798, -7751, -7666, -7531, -7334?\n\"Answer: 2*g**3 + g**2 + 4*g - 7826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opb when three letters picked without replacement from popbpbpppppbppdo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736 divided by 8?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*p = 5*p + 17, 7 = y - 2*p. Let d(l) = -l + 12. Let v be d(y). Solve h - 2 = -v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177 - 348. Let o = q - -170. Let f be (-1 - -2)*6\/(-4). What is the smallest value in f, o, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43249 and 732427?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1231*i - 2137?\nAnswer: 1231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 194236 greater than 194236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w**3 - 394*w**2 - 103*w - 141. Let x be j(-49). Calculate the greatest common factor of x and 176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -1, -1\/151, 0.2, -95, 0.5?\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 3:59 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6346378 to the power of 1\/2, to the nearest integer?\nAnswer: 2519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o - 16*o + 45*o - 34*o. Let r(v) = -6*v**2. Calculate u(r(y)).\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1172931 by 191.\nAnswer: -6141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k - 2*k**2)*(k**3 - 1 + 1) + (7*k**4 + 13*k**4 - 10*k**4)*(k + k + 0*k).\nAnswer: 18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1136547\/23 or 49414?\nAnswer: 1136547\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 48 = 9*x + 4*j, 120 = 5*x + j. Let k(h) = h**2 - 6*h + 4. Let d be k(4). Let c be 58 - (d - -1*2). What is the highest common factor of c and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 3*d - 1441 + 1441. What is k(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*v + 137*v - 51*v to g + z*v and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -17*u**3 + 6*u**2 - 11*u + 14. Let b(c) = -6*c**3 + 2*c**2 - 4*c + 5. What is 4*a(g) - 11*b(g)?\nAnswer: -2*g**3 + 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 54.95142kg?\nAnswer: 54951420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 353*j**3*y + 155*j**3 - j**2 wrt y.\nAnswer: 353*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 145 + 156 = -s, o = -4*s + 54. Let u = -18 + 57. Calculate the remainder when o is divided by u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j**3 + 12293815*j**2 + 4397570*j + 2 wrt j.\nAnswer: 36*j + 24587630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 - 25. Let i(n) = n**2 - 1326*n. Determine i(z(b)).\nAnswer: 16*b**4 - 5504*b**2 + 33775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4*z + 2886316*g**3 - 2*g**2*z + 77*g*z - 6121*z wrt g?\nAnswer: -24*g*z + 17317896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-22)*u)*(u**(-29)*u)\/u*u**9\/((u**(5\/11)*u)\/u) assuming u is positive.\nAnswer: u**(17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 494479197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 11*l**2 - 3*l - 7. Suppose 0 = 4*s + 18 + 10. Let u(h) = -10*h - 4 - 23*h + 31*h + 6*h**2. Let q(r) = s*u(r) + 4*z(r). Factor q(n).\nAnswer: 2*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5889 and 15050019.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 16*x**2 - 261*x + 36. Give y(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 10, 4*z - 4*n - 1417273 + 309069 = 0. Let o = 75947 + z. Round o to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62138275 is divided by 31069129.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**3 - 2*q**3 - 2*q**3)*(3*q**2 + 3 + 391*q + 462*q - 3).\nAnswer: 6*q**5 + 1706*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33800474 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n + 35*n - 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371051.\nAnswer: 19, 59, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + -5)\/(-1) + (-126)\/(-2). Calculate the highest common divisor of 27 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9465 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 42.2346 weeks?\nAnswer: 7095.4128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 218 - 95. What is the remainder when j is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.8 + 3. Let g be (-20)\/84 + (-3)\/7. Let r = -0.2 + 0.2. Which is the closest to r? (a) -2\/5 (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2\/11, -3\/2, -1\/11 in ascending order.\nAnswer: -3\/2, -2\/11, -1\/11, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*a + 5, 2*a - 3*y - 15 = -10. Suppose -4 = -0*j - 2*j. Let k(s) = 10*s**j + 3 - 3. Give k(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-3)*(-7)\/((-70)\/(-15)). Solve 6*h = -j*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9228, 4, 0.2 in decreasing order.\nAnswer: 4, 0.2, -9228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**3 - 8*y**2 + 9*y - 3. List the prime factors of c(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(7\/2)*q*q)\/q**18)\/(q*q\/(q\/q**(6\/5))*q)**(11\/4) assuming q is positive.\nAnswer: q**(-213\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -513\/16 - -32. Let i = -135 - -406\/3. Is b at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.46 + 0.7.\nAnswer: -22.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 53*c - 56*c. What is the remainder when 11 + -2 + (c - -5) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158036568?\nAnswer: 2, 3, 6584857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 15228\/40 - 18\/(-60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 362 + 47. Let j be -75*10*(i - 15). Round j to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 130.6, 2, 0.0056, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58344*i**2 - 36516*i wrt i.\nAnswer: 116688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -14*c**6\/15 + 19*c**3\/3 - 65*c**2. What is the derivative of y(s) wrt s?\nAnswer: -336*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/132 and -23\/6330?\nAnswer: 139260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7167 - 7166. Let o = -154\/3 - -53. What is the closest to n in o, 1.1, -4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 + 121. Put g, 0.1, 1\/5, 3 in decreasing order.\nAnswer: 3, 1\/5, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*s + 5, -3 = a - 3*s + s. Suppose 21*r = 237 - 342. Sort r, 9, a.\nAnswer: r, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4*g = -4, 0 = -55*a + 3*g + 283 - 173 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18377\/2 or -9189?\nAnswer: -9189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2010 and 49\/13400.\nAnswer: 40200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 247*s. Let p be g(-4). Suppose -5*c + 4 = 2*h + 7, 1 = 4*c + 5*h. Is (-4)\/c + (-7 - p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81465\/7 or -11639?\nAnswer: -11639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -35.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17\/108 or 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 965516, 965857, 966210, 966581, 966976, 967401, 967862?\n\"Answer: z**3 + 334*z + 965181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2538)\/72)\/(-47) + -35197*(-1)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -640 (base 16) to base 10\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -222 + 408. What are the prime factors of v?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((135\/(-12))\/9)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542484\/9 bigger than 171388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36793 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2389.013 + -2390. What is b rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 4*j - 8, -t + 3*j - 1 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/112*7\/(-8)*2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50.915 - -0.085. Let o = 5718 + -5718. Which is the fourth smallest value? (a) -2\/3 (b) -3 (c) m (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 at most as big as 13965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -0.1. Let o = q - -0.5. Let c be 8\/18 - (-2 - -2). What is the second biggest value in -0.5, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1704902 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -13, 3\/37, -0.2?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586 = 5*h - 2204. Let l be 524\/h - 1\/1. Let z = -5\/31 + l. Sort 2, z, -1\/7.\nAnswer: z, -1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2720727 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175115?\nAnswer: 5, 35023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*t + 3125, 154*g - 5212 = 149*g + 3*t. Is 3125\/3 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 256 + 6. Let a be m\/(-20)*(1 + 10\/(-2)). Solve -20 = 4*u - 4*w, -u - 3*u = 2*w - a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - 1 - (-51 + 98 + -54)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4145*k - 455*k = 489*k + 3201 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*q**2 + 2 + 921*q**3 - 1847*q**3 + 924*q**3 + q as s + g*q**2 + r*q**3 + t*q and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012296109144 rounded to six decimal places?\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/4 - (-53 - 1). Let m be ((-10)\/(-42))\/(k\/60). Which is the nearest to -0.2? (a) m (b) -0.4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 23. Let m be w(11). Let z be -3 + 5 + (-1)\/m + 0. Is 16 a factor of 2 - (-34 + 12\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0*(m**(-11)*m)\/m assuming m is positive.\nAnswer: m**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 10, p: 4, u: 6}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 89*c - 1. Let b(z) = -3*z**2 + 4*z + 6. Let r(t) = 25*t**2 - 34*t - 51. Let j(u) = 17*b(u) + 2*r(u). Calculate o(j(l)).\nAnswer: -89*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95280 is divided by 46789.\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 - 236. Let k = -89 - r. Suppose d + 5*t = k, 4*t + 57 = 3*d + 3*t. What is the remainder when 49 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(0 - 4\/(-5)). Suppose -p + 13 = y*p - 2*z, -3*p + 10 = z. Find the common denominator of -13\/4 and (p\/(-33) + 0)*-43.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -46. Let r(m) = -3*m - 8 + 0 - 5 + b. Calculate the remainder when r(-6) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127011358 to the power of 1\/2, to the nearest integer?\nAnswer: 11270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -15*f**2 + 62*f - 115. Determine y(2).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*p = 50*p - 3*n - 8737, -p - 5*n = -4336. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -1529489?\nAnswer: -1529489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 805, 1891, 3431, 5437, 7921, 10895, 14371?\nAnswer: 18361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15444, -30890, -46336?\n\"Answer: -15446*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 6*z - 2*z + 769, 3*z = h - 145. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -8, -1, 2\/7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oheo when four letters picked without replacement from ooohoee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*j**4\/2 - 8703*j**3 + 11622*j**2 - 3876*j.\nAnswer: -3*j*(j + 646)*(3*j - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5120*m - 527366. Determine o(103).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*i + 6*k - 12, i - k = -3. Find v such that i*v**3 + 0 + 0*v - 6\/5*v**4 - 4\/5*v**5 + 2\/5*v**2 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**3 - 5*i**2 + 13*i + 2. Let s = 191 - 186. What is the tens digit of j(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 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: Let c(d) = -9*d**2 + 1. Let v(i) be the second derivative of i**4\/6 - 31*i. Give c(v(x)).\nAnswer: -36*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from wrwrrrrrrrrr.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1344 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 56472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/2)\/d**(-6)*d\/(d*d**(1\/7)*d)*d*d\/d**(-3\/10) assuming d is positive.\nAnswer: d**(268\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 406*h - 404*h + 5*d, 0 = 3*h + 4*d + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -4. Let a(s) = -45 + 21 + 23. Let j(h) = h**2 - h + 1. Calculate b*j(c) - a(c).\nAnswer: c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-8 - 2) + (6 - 3) + 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/2*71106\/195. Let t = -1794 + 1247. Let o = f - t. Is o greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4432 * 6\nAnswer: -26592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1448851 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (387\/(-110) - 469\/(-134))*(-3)\/((-6)\/(-5))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.6 in 0.1, -1, 0.4, 0.494, 0?\nAnswer: 0.494","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (342\/304)\/(15\/4). Let y(l) be the second derivative of -l**3 + 3\/2*l**2 - 1\/10*l**6 + 0 + 0*l**4 + 5*l + j*l**5. Factor y(c).\nAnswer: -3*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 140743, -410?\nAnswer: -410","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1190561424?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 527.5937 centuries in decades?\nAnswer: 5275.937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -3\/5*b - 1\/10*b**2 + 1\/20*b**4 + 178 + 1\/5*b**3. Factor r(n).\nAnswer: (n - 1)*(n + 1)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 - j**2 + 0*j**2 + (-5 + 5 - 2*j)*((-5*j + 2*j + j)*(-1 + 7 - 2) + 4*j + 85 - 85) as a*j**2 + q*j + h and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39776?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 129\/(-2)*35\/2730. Let z = -1\/13 - p. Factor 0*x + 0 + z*x**4 - 1\/4*x**3 + 1\/4*x**5 - 3\/4*x**2.\nAnswer: x**2*(x - 1)*(x + 1)*(x + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a + 54. Give b(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 11) to base 3\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7345b5 (base 12) to base 5\nAnswer: 430434201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78 + 7)\/(-3 - -21 - 13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23940.\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1463004700 to the nearest integer?\nAnswer: 38249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 0. Suppose -6*p + f*p = 0. Suppose p = -0*o - 4*o + 220. Calculate the remainder when o is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -9896 (c) 83\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -83 and 127?\nAnswer: -10541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11404723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - y**2 + y. Let h be (-2 + 11)*4\/(-6). Let q be 2\/(-3) - h\/(-18). Let d(u) = u**2 - u - 1. Determine q*d(p) - n(p).\nAnswer: p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 917 and 770?\nAnswer: 100870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*u + 1606 = 94*u - 2200 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/19? (a) 2 (b) -2\/19 (c) -0.5 (d) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 4 - 4)*(-13)\/52. Factor 5\/4*f + 1\/4*f**4 - 1\/4*f**3 - 3\/4*f**2 - r.\nAnswer: (f - 1)**3*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 7:43 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 4 = -3*v - 1, 2*p - v = -1. Let s(d) = d**3 - d**2 - d - 9. Give s(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 2627.\nAnswer: -7\/2627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -677*f**4 - 753*f?\nAnswer: -8124*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*s - 8986 = 105*s + 5*b, 4*b - 8968 = -3*s. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-35) - 36\/(-90)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38865943279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 + -280?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(12)\/sqrt(4)*1*6 + -5.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -9, 2 in descending order.\nAnswer: 2, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -52453 + -616794?\nAnswer: -669247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 214, -0.5, -3, 1814, -5 in decreasing order.\nAnswer: 1814, 214, -0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*d = d + 1032. Calculate the remainder when 334 is divided by d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = -0. Let n be o*((-8)\/3 - -2). Which is the third biggest value? (a) 1\/3 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 - 3 + (5 - 6 - 2)*(-1 + 4 - 1) - 2 - 1 + 1)*(-3 - 3 - r + 8) + (-4*r + 2*r + r)*(0 + 3 - 1) to o + d*r and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-180))\/((-7)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, 3, -127, -1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**5 + 17*d**3*t + 4*d**2*t**3 - 12*d*t - 32*t**3 wrt d?\nAnswer: -40*d**3 + 102*d*t + 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - h. Suppose -3*z + h = -6. Suppose -104 = -z*d - 2*d. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -430*g + 138675 + 1\/3*g**2.\nAnswer: (g - 645)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 8 = 5*v, -4*s = v + 33 - 20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Let q be 0*t\/(-4)*2. Let v = q + 0. Solve -5*u + 13 - 3 = v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1453e (base 16) in base 10?\nAnswer: -83262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3003 - -3006. Let g = -19 + 16. What is the closest to l in g, 2\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32286570 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 0*s + 219363257*s**2 - s + 0*s - 219363251*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 141, -65, -333, -693, -1175, -1809, -2625, -3653?\n\"Answer: -5*m**3 - m**2 - 168*m + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3827219 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137511\/(-4167)*(-2)\/(22\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 1. Suppose 0 = r*b - 4*b. Solve -3*m + 2*m - 1 = b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26\/3 + -8. Let d = 71198.0027 - 71193. Let s = 0.0027 - d. Which is the nearest to -2? (a) v (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.47 - -4.682?\nAnswer: 7.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**3 - 2805*o**2 + 1 - 3*o**4 + 5*o**4 + 2803*o**2 in the form f*o**4 + v*o**3 + t*o + j + l*o**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76, -74, -72, -70, -68, -66?\n\"Answer: 2*c - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 11*p - 11. Let b(f) = 33*f - 32. Give 6*b(s) - 17*j(s).\nAnswer: 11*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**6 + 69*n**5 + 663*n**2 wrt n.\nAnswer: 120*n**3 + 4140*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5 + 5838*a**4 + 17538*a**3 - 17518*a**2 - 40920*a + 35064 = 0. Calculate a.\nAnswer: -3, -2, 1, 2922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*r**3 - 75*r**3 - 5687 + 5687.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 + -93. Let w(z) be the third derivative of z**4\/24 + 17*z**3\/6 - 2*z**2. What are the prime factors of w(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**21*p*p*p*p*p\/p**(14\/9))**19 assuming p is positive.\nAnswer: p**(4180\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**4 + 3*t + t**3 + 2*t - 3*t + 0*t**4 to h*t**2 + c + d*t**4 + l*t + f*t**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -316 (b) 5 (c) 3 (d) -0.3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssphsshshshh. Give prob of picking 1 h and 1 s.\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 616 + -579 - (30\/(-25))\/(6\/20).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23)\/(1196\/312))\/(9\/(-78)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 449 - 199. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(396)*-2*2*-3 + -5)*6.\nAnswer: -180 + 2592*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -14\/5 (c) 3 (d) -239 (e) 55 (f) 1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 7:36 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1391313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35524626?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*r + 3*i, 5 = 5*r - 4*i + 7. Find y such that 1\/3*y**r + 2*y + 3 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k + 9. Let w be r(-3). Let y be (-3)\/1*(-36)\/w. What is the units digit of ((-8)\/12)\/(y\/(-162))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/((-4)\/8). Let u be i\/(4\/(-300)*3). Let d = u - -6. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0114243 - -0.1885757. Let h(l) = l - 1. Let a(c) = c**2. Let r be a(0). Let y be h(r). Sort 2, d, y, -1\/3 in decreasing order.\nAnswer: 2, d, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 5*d - 3*v + 18, 2*v = 8. Let o = -32 - -37. Solve -d*c - k = -6*c - 10, -o*k = c + 14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3273 + ((2 - 2) + -8 - -17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174635 is divided by 1180?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89 - 85)*((-72)\/56 + (-2)\/(-7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*s**3 - 67*s**3 + 26*s**3 + 0*s**3 + 4*s**3 - 3*s**3 + (-3 + 2*s + 3)*(-3 + 3 + 2*s**2) to z + g*s + y*s**3 + k*s**2 and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51, 30, 9, -12, -33, -54?\n\"Answer: -21*w + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -33) + (223 - 235).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h. Let n(g) = -5*g**2 - 6*g. Let u(i) = -66*i**2 - 77*i. Let c(l) = -77*n(l) + 6*u(l). Give p(c(m)).\nAnswer: -55*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*w - 0, 25 = o - 5*w. Calculate the remainder when 87 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -22, 3, -1, 1, -8, -13 in ascending order.\nAnswer: -22, -13, -8, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 3171820?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 2. Let w(y) = -y**3 - 22*y**2 + 47*y - 12. Let l be w(-24). Suppose -l = 6*j + 18. Determine g(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000089576444 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-252) + 2\/(-28)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 220 = -3*n + 3*k, 0 = n + 4*k - 62. Suppose -n*v - 80 = -71*v. What is the lowest common multiple of 50 and v?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8*g + 2686*g**3 - 2682*g**3 + 3*g. Let j(w) be the second derivative of 0*w**4 + 2*w + 0 + 0*w**2 + 1\/3*w**3 - 1\/10*w**5. What is -5*j(d) - 2*v(d)?\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1017 = -3*w + 309, -2*a - 876 = -2*w. Find the first derivative of -30 - 441*n - 12 - 74*n**2 + w*n wrt n.\nAnswer: -148*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*k + 78 = 0, 2396*k - 1199*k - 1201*k + 88 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/30 + (2 - 2). Which is the nearest to -1? (a) -1 (b) -12\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -948 + 952. Sort -5, d, -0.6, -4\/3, 0.3 in descending order.\nAnswer: d, 0.3, -0.6, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153684 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ec0 - 4?\nAnswer: 2ebb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544*v - 24 = -550*v. Find the third derivative of 23*z**2 + 56*z**v + 74*z**2 - 20*z**2 - z**3 + 81*z**2 wrt z.\nAnswer: 1344*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -2.506459, -0.04, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 - 509794*i + 6627320\/13.\nAnswer: 2*(i - 3313660)*(i - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 583 - 569 - (-1 + 6 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 6*n + 14. Let k be b(-6). Sort k, 4, 5 in descending order.\nAnswer: k, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w - 193. What is j(-14)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - 6. Let i = 32 + -19. Let p = z + i. Do p and -10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1850759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -87, -5, -250.1?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4221.7 + 4219. Which is the nearest to 0.1? (a) -2\/7 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeooeeee?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20725575 divided by 4145115?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3612 + 20779 + 7272 + 1599 + 17273 + 43507)*(-2*v**2 + 1 - 1).\nAnswer: -188084*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 2\/11, 3770, -0.5, -729, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 i, and 1 v when three letters picked without replacement from {v: 1, i: 1, t: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w + 2. Let r be m(2). Let q be r\/(-4)*(-50)\/(-15). Let g(z) = -z**3 - 6*z**2 - 12*z - 9. Let s be g(-4). Solve -3 - s = -q*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -421.5 and -11.4?\nAnswer: 4805.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 258 and 1118?\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 21*v - 63. Let b be j(4). Suppose -689 + 38 = -b*t. List the prime factors of t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q. Let o(k) = 117*k - 2475*k - 1120*k + 459*k. Determine o(z(d)).\nAnswer: -3019*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {a: 15, q: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*s + 3*x - 89, -4*s = 3*x - 175. Calculate the greatest common divisor of 215 and s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/5 - 4*u**3\/5 - 6562*u**2\/5 + 51924*u\/5 - 9072 = 0 for u.\nAnswer: -60, 1, 7, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -132792 + 9030289\/68. Let g = 25\/4 - x. Does g = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b**2 + 4*b - 3. Let w be h(2). Let a = 49 - w. Solve 2*q = q + a*f + 18, f = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*y = -136*y - 6. Let b = 48 + 23. Let j be -5 - y - b\/(-1). What is j rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -61*i + 146. Determine g(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, n: 7, m: 3}. Give prob of sequence mmn.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*d - 35, -45*d - 5*b + 48 = -41*d. Suppose 3 + 0 = g. Solve 2*m - 18 = -g*c, m - d = -2*m - 2*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.092.\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + p = 21 - 104, p = 2. Let l = q - 13. Suppose l = -2*g - 2*g. Put 1\/7, 0.1, g in descending order.\nAnswer: 1\/7, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 - 2*y**4 + 2*y**4 + (4*y + 2*y - 4*y)*(-4*y**4 + 3*y**4 + 2*y**4) - 3*y**5 + 4*y**5 - 3*y**5.\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1694*p + 25. Let t(w) = -565*w + 9. Calculate -4*q(c) + 11*t(c).\nAnswer: 561*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Suppose 3*m + 4 = 2*m - 3*y, q = -5*y - 15. Let w(v) = -v**3 + 5*v**2 + 2*v - 5. What is w(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 348165 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 4*w**2. Let x be u(4). Let z(y) = -y**2 - y + 2. Let t be z(x). Let h(v) = -v**2 - v**2 - 3*v - v**3 + 2 + 1 + t*v**3. Calculate h(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 135138\/11, -0.01, -2\/3 in decreasing order.\nAnswer: 135138\/11, 1, -0.01, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 14*t**2 + 3*t + 14. Let m = 3673 - 3687. Give a(m).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -919.6331 + 0.0331. What is n rounded to the nearest 10?\nAnswer: -920","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*m**3 + 398*m**3 - 995*m**2 - 940*m**2 + 1935*m**2.\nAnswer: 266*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 2*m + 17. Let k be b(4). Suppose 0 = -2*p + v + 29, -2*p + 2 + k = 5*v. Solve -t - 3 = -3*i + 3*t, -5*i + p = -4*t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 8582*s - 154807. Calculate p(18).\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:32 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 215927947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12 - 2*q**2 - 2*q**2 - 3*q**2 - q**3 - 3*q**2 + q. Suppose 0 = y - 2*y - 10. Let p be k(y). Solve -s = -p*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 25, -2*x - o + 15 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*q + 15*q - 25*q + (-3*q + 4*q - 2*q)*(1 - 2 + 0) + (3 + 1 + 0)*(-2*q + 5*q - 2*q) to t*q + w and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-8)\/6))\/((-15)\/50)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 864269801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5324351 to the nearest integer?\nAnswer: 2307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8356*b*k**2*n + b*k*n**2 - 6*b*k*n - 6299*k**2*n**3 + 6*k**2*n**2 wrt n.\nAnswer: 2*b*k - 37794*k**2*n + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 73*s**2 - 426*s - 415. Is o(-103) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (240 - 829 - 557)*(-d**2 + d**2 + 2*d**2) to the form c*d**2 + u + v*d and give c.\nAnswer: -2292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -14*u**2 - 78*u + 78. What is g(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*m + 4*w, 2*w + 2*w = -m + 16. Let h(c) be the second derivative of c**3\/6 + 6*c**2 - c. What is the lowest common multiple of m and h(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2535.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-10))\/((-14)\/10). Let j(u) = 5*u**3 + 2*u**2 + 4*u + 8. Let r be j(-2). Let y = -290\/9 - r. What is the nearest to y in 3\/5, x, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77 + -77.4. What is the fourth biggest value in 4, -2\/17, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7*f - 3*f**2 - 4 + f**2 - 2. Let r(b) = -b**3 - 6*b**2 + 2*b + 8. Let t be r(-6). Give v(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534887 divided by -3?\nAnswer: -511629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1001 bigger than -1001?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1524374 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110011100101001 (base 2) to base 12.\nAnswer: 13349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 16 = 4*n, 0 = -2*a - 2*n + 16. Suppose 2*v = -3*c - 2*v + 21, -6 = c - 3*v. Suppose -s + 0*s = -c. Is s less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 9\/4*v**2 - 9\/4*v**4 + 3\/2*v**3 - 3\/2*v = 0 for v.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 3}. Give prob of picking 2 u and 1 d.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22800.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -8 + 3\/5*f + 9\/20*f**4 - 9\/10*f**2 - 1\/5*f**3. Factor s(g).\nAnswer: 3*(g - 1)*(g + 1)*(3*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -34, -3\/7, 4, 8, 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v + h, -5*h = -5*v. Suppose 2*t - 8 = -v*t. What is the remainder when 14 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630.412 rounded to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 819 and 1638.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5 + 14*g**4 + 36*g**3 + 40*g**2 + 16*g.\nAnswer: 2*g*(g + 1)*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -22*y. Let q(p) be the first derivative of -p**2\/2 + 139. What is q(x(n))?\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 - 11*m + 2. Let d(b) = -b**2 - 5*b + 1. Let s = -50 + 2. Let i = s + 45. What is i*t(r) + 7*d(r)?\nAnswer: 2*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c - 2. Let i be (156\/(-18))\/(1*1\/3). Let h = i - -29. Solve c*a - 5 = -h*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**4\/2 + 11*n**3\/6 - 4*n**2 - 36*n. Let h be j(7). Let b = -210 + h. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214058676?\nAnswer: 2, 3, 13, 1372171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.28 + 69.72. Let h = -5239.2 + 5239. Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-18) - 331151\/(-3). Suppose -g + m = -2*f - 41622, -5*g = -3*f - 760009. What is g rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v**2 - v + 3. Let k(g) = 2*g**2 + 1. Let o(z) = -2*b(z) + 5*k(z). Let c be o(-2). Suppose c*x = -x. Is 0 != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572 - 3*h**3 + 1704 - 567 + h - 565.\nAnswer: -3*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*h - 127*h = 392 + 142 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(w**2 + w - w) + 4*w - 6*w - 5 - 1 + w**2 + 46*w**2 - 5*w**2 - 16*w**2.\nAnswer: 24*w**2 - 2*w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 2 (c) 130 (d) -7 (e) 2\/9 (f) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 13*z**2 - 4*z - 12*z**2 - 4 + 5. Let u be k(4). Let b = 80 + -481\/6. Are b and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-three halves of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -147904000 to the nearest 1000000.\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*d**2*k**3*z**2 + 32*d**2*z**2 - 13*d**2 - 6*d*z**2 + 249*k**4 wrt k?\nAnswer: 48*d**2*k**2*z**2 + 996*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -2*k - 3*a - 3, 35 = -11*k + 4*a - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -53.96735754\nAnswer: -54.06735754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2541824 and 71\/54013760?\nAnswer: 216055040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/7 - 733*k**2\/7 - 4*k\/7 + 2932\/7.\nAnswer: (k - 733)*(k - 2)*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1, -5, 5 in decreasing order.\nAnswer: 5, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 949106161 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -2209?\nAnswer: -6627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -28. Let a(n) be the third derivative of 0 + 1\/30*n**5 + 3*n**2 + 0*n + p*n**4 + 0*n**3. Let v(k) = -2*k. Give v(a(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/33)*g**(-33)\/g)\/(g*g\/(g\/(g*((g\/((g*g**1)\/g))\/g*g)\/g)))**(2\/3) assuming g is positive.\nAnswer: g**(-370\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51\/3257? (a) 0.2 (b) 7 (c) 2\/7 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-1)*(-35)\/(-49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*g + 2 = -2, 4 = 3*i + g. Let s(m) = 2*m**2. What is the remainder when 6 is divided by s(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 576.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllllljl. Give prob of picking 3 l and 1 j.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131)\/(56854\/6972) + (-4)\/(-62).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11))**38 assuming w is positive.\nAnswer: w**(-418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-10)*q**23)\/(q\/(q*q**(8\/7)*q)*q*q*q)**(45\/2))**16 assuming q is positive.\nAnswer: q**(-704\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllgllg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 18.1469 * -0.3\nAnswer: -5.44407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 9 + 6. Let k = 9 - j. Let f be 33\/(-9) + (-2)\/k. Sort -1, f, 2 in ascending order.\nAnswer: f, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -46*s**3 - 7*s**2 - 5. Let f(u) = 23*u**3 + 3*u**2 + 2. Give 2*b(t) + 5*f(t).\nAnswer: 23*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -16*a - 56*a + 1653 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 - 51. Suppose -10 = -8*k + n. Differentiate -12*t**4 - 32*t**k - 18 - 13 wrt t.\nAnswer: -176*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -14*b**3 - b**2 + 1. Suppose -3*y = -1 - 5. Let r be y\/(-1)*4\/8. Is t(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*f + 82 = f, -2*h = 3*f + 56. Is -29 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 339*h. Let c(w) = 16*w. What is t(c(j))?\nAnswer: 5424*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 3*x**2 + 3*x. Let f = -98 - -100. Let y be q(f). Solve 2*l + 0*v = 3*v - 11, -y*l = 3*v - 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*v - 0*v. Let j(h) = 4*h + 413. Let n be j(28). Let y = n - 528. Sort -4, y, v in increasing order.\nAnswer: -4, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4, 4*m - 3*m = k - 6. Let o = 12 - k. Suppose -o*l = -0*l - 5. Solve l = u - 0*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.381 (b) -0.4 (c) 0.2 (d) -0.5 (e) -28 (f) 3\/10 (g) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5817745081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (34\/(-102))\/((-2)\/(-162)). Let z = 169 - u. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:55 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/(a*a\/((a*a*a**0\/a)\/a)))**(4\/5) assuming a is positive.\nAnswer: a**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321262061 is divided by 5716?\nAnswer: 5713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -41*g + 21. Let m(p) = p. Let o(r) = -6*m(r) - u(r). Let d(l) = -7*l + 4. Let h(c) = -21*d(c) - 4*o(c). Let k(a) = -10*a. Determine k(h(y)).\nAnswer: -70*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 107139.\nAnswer: 857112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 1. Is 27*(u - (-2)\/6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z - 2*z**4 - 18*z**3 + 161*z**3 - 2 + 4*z**4 + 548*z**3 as l + x*z**3 + b*z**2 + k*z**4 + p*z and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 256553428 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: a3a (base 13) to base 12\nAnswer: 100b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264709?\nAnswer: 31, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + -4 - -4) + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2880) - 3*1*sqrt(2880)) + (-6*(sqrt(2880) + 2) - sqrt(2880)).\nAnswer: -216*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2358*v + 12. Suppose -4*b = 2*r - 16, -3*b - 2 + 0 = -2*r. Let h be z(r). Round h to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - 26 - 65 - -59.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.02714836+0.01\nAnswer: -0.01714836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/(64\/40).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 273, 377, 481, 585?\n\"Answer: 104*i + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*y - 192*y - 38*y)*(7*y + 16*y - 6*y) - 2*y**2 + 3*y**2 - 3*y**2.\nAnswer: -3504*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 340, 868, 1606, 2554, 3712?\nAnswer: 5080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**12\/z**(-16) assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.6123 - 0.1077. Let g = u + 19. Let c = g - 1.6. What is c rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526998 is divided by 175648?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 85471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*l = i + 26499975, 0 = -3*i + 2*l - 15899990. What is i rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -6. Suppose 0 = -2*y + 4*b + 12, -2*b + 25 = 5*y - w*b. Suppose 41 = y*j - 39. Solve 4*p = -4 + j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*j + 113, 3*j - 235 + 30 = 4*m. What is m rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1416 divided by -472\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 934*c**3*f**3 + c**3*f**2 - 2*c**3*f + 3*c**2*f**2 + c**2*f - 2*f**3 + 93 wrt c.\nAnswer: 5604*f**3 + 6*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*f**6 - 10*f**4 + 2*f**2 + 59*f wrt f?\nAnswer: 6120*f**3 - 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1297*c**2 - 7*c + 1960. Let v(m) = 648*m**2 - 4*m + 976. Let o(s) = -4*d(s) + 7*v(s). Find the first derivative of o(t) wrt t.\nAnswer: -1304*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from eoueeooroortto?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j + 6 - 1 - 4. Let k be z(-6). Let y = 68 + k. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h + h - 2*h. Let y(l) = -54 - 49 + 103 - 2*l**2. Give y(u(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 51*j**2*m*s - 162*j**2*m - 2246*j**2*s + 5*j**2 + 4*j*m*s + 2*j*m - 2*m - 22 wrt s.\nAnswer: 51*j**2*m - 2246*j**2 + 4*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 4*t**2 + 5*t + 19. Give u(7).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1625 - 1056. Let n = j - 117. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*p = -74*p - 75. Solve 17 = s - 5*r + r, 5*r + p = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -2) + -45 + 52?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*s - 5*x - 2, 4*s - 17 = 5*x. Suppose -s*f = -2*f - 1, 0 = -5*u + f + 9. Solve 2*k - 4*p = 20, 4*p + 10 = -4*k + u*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/9, 6, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -14, -34, -52, -62, -58, -34?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzc when three letters picked without replacement from {z: 3, c: 6, x: 1, u: 7}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32001221 (base 4) to base 11.\nAnswer: -3a187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*r + 6549992, 5*r + 4261334 = 2*q - 2288674. What is r rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -125402671 and -2.\nAnswer: 250805342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-172)\/10 - -2) + 88\/11)\/((-10)\/(-25))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, m: 9}. Give prob of sequence ummm.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -68448 plus 5077?\nAnswer: -63371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 29 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*(z*z**1)\/z*(z*z**(2\/7)*z)**22)\/((z**(-2\/5)*z)\/z**(2\/5)*z**0\/z**(-1\/2)) assuming z is positive.\nAnswer: z**(3121\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 8:22 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3))**(1\/6))**46 assuming x is positive.\nAnswer: x**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40076 and 22368.\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13124*-135\nAnswer: 1771740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9*j + 5. What is o(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 10) to base 2\nAnswer: -1001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2*(-28)\/1260?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 10*p - 6. Let o(v) = 8*v - 5. Give 2*g(s) - 3*o(s).\nAnswer: -4*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**2 - 2*c + 2. Let v(m) = -4*m**2 - 2*m + 1. Give -5*b(r) + 6*v(r).\nAnswer: r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10222339?\nAnswer: 479, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -1008\/11, 0.05924?\nAnswer: -1008\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 51*b**2 + 46*b - 69. Determine r(-16).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -71, -155, -273?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 9\/(18\/4). Let c(o) = -4*o**3 + o**2 - 2*o - 2. Let f be c(b). Let i = 162 + -1293\/8. What is the second biggest value in f, i, 0.04, -3\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11802)\/1074 - 36)\/(-1) - 47?\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 753002, 753012, 753022, 753026, 753018, 752992, 752942, 752862?\nAnswer: 752746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 7*j + 1. Calculate z(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/11)*x**(-2\/39))\/(x\/x**(-2))**(9\/2) assuming x is positive.\nAnswer: x**(-11471\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 4*o - 12. Let q be z(6). Suppose q + 234 = 7*s. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -j + 7, -36*n + 34*n - 5*j = 11. Solve -4*m + n*t = -14, 3*m = -t + 2*t + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 18*r + 619. Let z be d(19). Calculate the greatest common divisor of 124 and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3*w**3 + m**3*w**2 + 24*m**3*w - 7*m*w**2 - 308*w**3 wrt w.\nAnswer: 6*m**3 - 1848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.547 - 0.247. What is the nearest to c in 0, 77, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 62 and 3131?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3509\/6 + -585. Let q = -0.3 + 0.3. Put -3, q, s in decreasing order.\nAnswer: q, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-2484)*12 - (6 + (-2872)\/396).\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/10 (b) -0.2 (c) 0.11 (d) 15 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109071 - -109072. Suppose -2*t + 0*t = -12. Let j(h) = h - 8. Let v be j(t). What is the second biggest value in 0.07, b, -5, v?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 72*o - 24896. Calculate the lowest common multiple of 11 and o.\nAnswer: 4279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:29 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000057544386 rounded to six decimal places?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 648 - 645. What is the third derivative of -3*y**5 + y**q + 784*y**2 - 783*y**2 + 26*y**5 wrt y?\nAnswer: 1380*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 + 89 = -238*g - 49 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/(-4) - (-6)\/(-4). Calculate the greatest common divisor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/10854742?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 3*q**2 + 11*q - 2. Let r be u(5). Let h(z) = 30*z - 13*z - r + z**2 - 13*z. Let c be h(-5). Solve c*d = 3*w + d + 9, -w - 5*d = 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(1 + -3 + 7). Solve -o = 2*x + 3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6665135233.\nAnswer: 311, 21431303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 61455, 61450, 61445?\n\"Answer: -5*h + 61460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 15\/427?\nAnswer: 15\/427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 5*i**2 + 3*i - 7. Let f = -3 + 8. Calculate the remainder when 3\/12 + (-110)\/(-8) is divided by w(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/5 + 177866*r**2\/5 - 1422832*r\/5 + 569120.\nAnswer: -2*(r - 88925)*(r - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, -0.07, 9.74, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l**4 + 2*l**4 + 4*l**4 + (-2*l + 5*l - l)*(4*l**3 - l**3 - 2*l**3).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156300 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f + ed539?\nAnswer: ed568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) -2 (c) 2 (d) -24.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 53.6, 1, 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9984.76ug to milligrams.\nAnswer: 9.98476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(15\/7))**(-1\/19)\/(p**(-15)\/(p\/(p*p\/(p*p\/((p\/((p\/p**(2\/11))\/p)*p)\/p*p))*p))) assuming p is positive.\nAnswer: p**(18588\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -40\/3. Let a = 0.36 + 0.04. Let z = -9.05 - -8.85. What is the third biggest value in z, a, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1295*x**4 - 90*x + 90*x)*(x + 3*x - 2*x).\nAnswer: -2590*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 89937, 89936, 89935, 89934, 89933?\n\"Answer: -d + 89938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1 - 1) + -4 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from {j: 3, a: 5, t: 1, z: 1, e: 1, r: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4385768 - 0.1888.\nAnswer: 0.2497768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2045 + 0.4?\nAnswer: -2044.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 6:19 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**3 + c. Let i be l(1). Find the second derivative of 6 - 3 - i*h**2 - 23*h - 3 wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*(-95)\/(-5)*-2. What is the greatest common factor of 72 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -19. Suppose -a*k = 5*h - 1190, h = -h - 5*k + 488. Let p be h\/(-246) - (0 - 1). Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 8 + 102*z**3 + 839694*z - 100*z**3 + 2*z**2 - 29 - 839694*z.\nAnswer: 2*z**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 15, -2 in ascending order.\nAnswer: -4, -2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 65?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 5398*k**4 - k - k**2 + 21 - 5397*k**4 - 2*k**3 + k as c + v*k**2 + h*k**3 + n*k + t*k**4 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8767640*f**2. Let p(z) = -3*z. What is y(p(h))?\nAnswer: -78908760*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 4. Let m be f(-7). Let t(s) = s. Let a(o) = -2*o. Let q = 646 + -642. Suppose -3*n + 15 = 2*i + q, 0 = 3*n - 15. Calculate i*a(k) + m*t(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56 - (56 + -159)) + 32?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 196644 (base 11) to base 14\nAnswer: 7bc96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*n - 0*n, 5*d = -3*n + 23. Let k = -2.1 - -2. Which is greater: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 191*h**5\/20 - 20*h**2 - 6*h + 22. Differentiate p(k) with respect to k.\nAnswer: 573*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*i**2 - 46*i**2 - 17*i**2.\nAnswer: 330*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/110 - 5\/(-10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from kkekekekkkkkcv?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d - 16194 + 4699 = 138*d + 53*d for d.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 279722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 1.86, -1\/2, 4, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34893 (base 12) to base 15.\nAnswer: -15cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/((-3)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5a1 (base 13) to base 15\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -8793876?\nAnswer: 8793873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4035320 - 0?\nAnswer: 4035320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5178 = 5*v + 9*g - 8*g, 0 = -v - 5*g + 1050. Does 33 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5 = -2*p, -t + p = t - 7. Suppose -t + 7 = 2*q. Let o = -6 - -10. Solve 2*i - q = -3*i + 2*h, -4*h = -o*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 11. Let t(v) = -v + 5. Let d(i) = -i**3 + 14*i**2 - 13*i + 7. Let r be d(13). What is r*t(f) + 3*n(f)?\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5572*g - 39009. Give c(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202143 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 86931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjj when three letters picked without replacement from vvjj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 56*s**2 - 84*s + 4581. Give v(56).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -11*p - 361 - 196 - 55 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 27 = -4*r + 5, 4 = -r - 2*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(0*l**3 + 2*l**3 + 0*l**3)*(2 - 1 + 1)*(429*l + 429*l - 806*l - 1) as a + p*l**4 + u*l**3 + j*l + w*l**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/9 - 100*k**3\/9 - 262*k**2\/9 + 30412*k\/9 + 72352\/3 = 0. What is k?\nAnswer: -38, -21, -8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 674 + -973. Let c = o + 428. Calculate the remainder when c is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2 + v**2 - 57*v**3 + v + 3 + 56*v**3. Let a be q(6). Solve z - a = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3\/105*554309 + (-72)\/(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(1 - 2*p**3 - 1) + (1 + 2 - 2)*(-2*p**3 + 0*p**3 + 0*p**3).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 33*n**2 + 198*n - 1080. What is f(-18)?\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16. Suppose 0 = 2*p + 5*d - 28, y*p - 6 = d + 2. Let k be (-4)\/3*(-9)\/p. Which is the biggest value? (a) 0.2 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 f, and 1 y when four letters picked without replacement from ererrefyferrerfref?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 486249 to the power of 1\/2, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6829*z**2 - 15421*z wrt z.\nAnswer: -13658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 2) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1939, 1940, 1941, 1942, 1943?\nAnswer: 1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8132383?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -155, 0.15, -2\/3, 11, 2, -1\/10 in decreasing order.\nAnswer: 11, 2, 0.15, -1\/10, -2\/3, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -49) + (-41 - -77) - -23\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -79, -162, -321, -580, -963, -1494, -2197?\nAnswer: -3096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsbbszbbbbebsebzbzz. What is prob of picking 1 z and 1 b?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 24 = -2*k - 0*h, 0 = h + 5. Suppose -k*y + 93 + 65 = 0. Is 78 >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(30)\/(-3*sqrt(6)) - sqrt(5)).\nAnswer: -16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2415.623 milliseconds?\nAnswer: 2.415623","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*d**3*r**3*w - 7787*d**3*r**2*w - 10*d**2*w + 133*r**3 + 3*r*w wrt d.\nAnswer: 78*r**3*w - 46722*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(1\/4)*y)\/y)\/((y**(-4)\/y)\/y)*y**(2\/5)\/(y\/(y\/(y*y**(-1\/3))*y)) assuming y is positive.\nAnswer: y**(539\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**3 - u. Give g(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -614*j**3 - 211*j**2 - 130928*j + 130928*j wrt j.\nAnswer: -3684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/15))**(-15\/2) assuming k is positive.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 7670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 - -0.7?\nAnswer: -97.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 4:23 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*w + 14, w - 224*r + 228*r = -4. Solve -w*p - 57 + 69 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 40. Let i be k(-9). What is the third derivative of -6*g**4 + 22*g**i + 33*g**2 - 4*g**4 + 13*g**4 wrt g?\nAnswer: 600*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 2*g**3 + 0*g - 4*g**2 + 2*g**4 - 3*g**2 - 2*g**2 to the form f*g + k*g**3 + l*g**4 + n*g**2 + v and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*q + 276*q - 75*q - 85*q + 5*q**2 to the form x + z*q**2 + s*q and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p - 1. Let r(f) = 5*f**3 + f**2 - 5*f - 5. Let a(x) = r(x) - 4*u(x). Let a(y) = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7100, -7089, -7078, -7067?\nAnswer: -7056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*c + 22 = 3*a, 5*a - 20 = -5*c. Let d be (-28)\/a*(-864)\/84. Suppose -d = -3*o + o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-124684)\/(-4599) - 2\/36*2. Calculate the highest common divisor of 279 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 312 + -482. Let i be 204\/a*(-150)\/9. Solve 5*l = 9*l + i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w - 3*y - 28, y - 20 = 3*w. Let m = w + 20. Suppose 0 = -5*c + 52 - m. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -9 - (18 + -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + v + 1. Let c(n) = 2*n**2 - n - 6. Calculate c(r) + 6*y(r).\nAnswer: -4*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**9\/13608 + a**8\/7560 + a**7\/3780 - a**6\/1620 + a**3\/3 - 2. Let t(s) be the third derivative of w(s). Factor t(k).\nAnswer: -2*k**2*(k - 1)**2*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2417546 divided by 2.\nAnswer: 1208773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - -3*sqrt(20)\/sqrt(4)) + (-2*sqrt(10))\/sqrt(2) + sqrt(5).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -609\nAnswer: -1\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 times -5\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8057 divided by -2?\nAnswer: 8057\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11813303, -11813307, -11813311, -11813315, -11813319, -11813323?\nAnswer: -11813327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 3 - (-2 + 2). Let j(i) = -5*i**2 - 54*i - 3. Let g(x) = 20*x**2 + 236*x + 12. Let f(n) = 3*g(n) + 13*j(n). Give f(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 48*u - 191. Determine x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccticippctiic. Give prob of picking 1 c and 1 t.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + m - 4, 5*q + 4*m + 5 = 21 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/8810?\nAnswer: 3\/8810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2 - 42*s + 108 = 0 for s.\nAnswer: 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**3\/2 + 149*v**2\/2 + 292*v + 290 = 0.\nAnswer: -145, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 2\/11, -1\/2, 4\/7, 1\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 10*b**2 + 12*b.\nAnswer: 2*b*(b - 3)*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29*c**2*v**6 - c**2*v**5 - c**2*v**2 - v**2 + 12*v wrt v.\nAnswer: 3480*c**2*v**3 - 60*c**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -125334033 (base 6) to base 4.\nAnswer: -21202210011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94546.\nAnswer: 2, 41, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/10564 and 67\/42.\nAnswer: 221844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 14. Let p(r) = r**3 - 28*r**2 + 18*r - 499. Let w be p(28). What is the third biggest value in w, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -1. Let g(n) = 3*n**3 + 7*n**2 - 17*n - 3. Let u be g(4). Let h = 238 - u. What is the remainder when j is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 2. Let n = 21871\/43750 + 2\/21875. Which is the closest to n? (a) 3 (b) r (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1177327 divided by 1156.\nAnswer: -1177327\/1156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -33*c + 1\/2*c**4 + 0*c**3 + c**2 + 0*c**5 + 0*c**6 + 0 - 44\/21*c**7. Find the third derivative of d(q) wrt q.\nAnswer: -5280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, -4, -3934, 2 in decreasing order.\nAnswer: 3, 2, -4, -12, -3934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1022211 (base 3) to base 16\nAnswer: 3c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**4\/24 - 5*g**3\/6 - g**2. Let q be v(-7). Let s be 4\/q*6\/2. Are 1\/7 and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 8*h**2 + 6*h - 5. Let v be q(-7). Suppose 0 = -3*f - 4 - v. Let u = -29 + 25. Which is the nearest to f? (a) u (b) 2\/15 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**3 + 19*r**2 + 6*r + 19. Let d(c) = c**3 - c**2. Let s(p) = -5*d(p) - i(p). Let a be s(-15). Suppose -3*n + n = -a. Is n a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -2 + (-7 - -25) + (11 - 10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 640 - 635. Suppose 6*b - 2*v = 4*b + 4, b = -2*v - 4. Let f = b - -27. What is the remainder when f is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i)**(-16\/9))**(9\/7) assuming i is positive.\nAnswer: i**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.99033 + 6.59757. Let u = -7 + -0.6. Let o = u + p. Round o to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 63200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.148 and 59.\nAnswer: 59.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001645246675 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -15. Let i = 2 - -1. Let v = -2.9 + i. Which is the third smallest value? (a) -0.1 (b) k (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 3. Let l be (-545)\/(-30) - 1\/6. Suppose l = -5*c + 8*c. Give j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.59058 + 2.59. Round v to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**2 + 17*o. Let t(a) be the first derivative of a**3 - 3*a**2 - 2. Suppose 0 = 25*h - 3*h - 9*h + 221. Determine h*t(g) - 6*k(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/6)*a\/(a\/a**(1\/8)))\/((a*(a\/(a**(-2\/5)\/a*a)*a)\/a)\/((a*(a\/(a**14\/a*a*a))\/a)\/a)) assuming a is positive.\nAnswer: a**(-1933\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22512 divided by -7504.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1479407 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101101 (base 2) to base 4.\nAnswer: 2231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(1 + 7\/(-9)). Let z = -5 + g. Suppose -4*t - z*n = -80, 0*n - 9 = 3*n. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 292738784 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.74 + 0.34. Let i = 132 + -136. Which is the nearest to 1? (a) -52 (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25787, -25829, -25871, -25913?\n\"Answer: -42*j - 25745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-2) - (-3)\/6. Suppose -36 = -i + f, 3*f - 172 = -b*i - 0*f. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -31 + 1 + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-48))\/(21\/36).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, -10, -1, -42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(sqrt(408)\/sqrt(8))\/sqrt(3))**2 + 0 + 1*sqrt(17) + -4 + -3*sqrt(425).\nAnswer: -14*sqrt(17) + 1271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 13. Suppose -4*z + 32 = 3*j, 4*z = 5 + a. Suppose 2*i - 5 = -k, -j*k + 8 = -4*k - 4*i. Solve -2*y + 18 = -3*t + y, -2*t - k*y - 7 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4541 is divided by 1117.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(3*(sqrt(176)*1 - sqrt(176) - sqrt(176)))**2*2.\nAnswer: 19008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4600)\/(-15)*(-252)\/(-35). Suppose -6*k + m = 2*k. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 310252389 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.045 times 12855\nAnswer: 578.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -18*n - 52. Let r be a(-21). Let b = 461 - r. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 3\/232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 8 + -14 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 38*s - 4. Let y be k(15). Suppose 0 = -8*z - y + 1164. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*q + 7*q + 13 = 0, 7 = 2*p - 3*q. Calculate the least common multiple of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/59? (a) 158 (b) 0.3 (c) -1\/2 (d) -2\/13 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vttvttvtftttttt. Give prob of picking 1 t and 1 v.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*p - 12 = 1 + 11, 0 = -4*p - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 440 = -13*m. Calculate the greatest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/1716 and 11\/36?\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 7:28 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.757139 millimeters?\nAnswer: 5757.139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 0.141, 5, -68, 4?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 91*k + 5482. Calculate d(-61).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t**2 - 3*t**2 + 2*t**2 + (3*t**2 - 3*t**2 - t**2)*(-4 + 3 + 3) - 2 + 2 + 2*t**2)*(4*t - 4*t + t) in the form c*t**3 + h + g*t**2 + s*t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 16980*x. Let z(r) = -16*r**2. What is z(q(s))?\nAnswer: -4613126400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.2 + -8.2. Let j = r - -4.1. Let n = 8.68 + -8.48. Which is the closest to 1\/2? (a) 0 (b) n (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-518)*-1)\/((-108)\/42). Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(4))\/(sqrt(64)\/sqrt(8)) - (5 + (-5 + (-5*sqrt(20) - sqrt(5)))**2).\nAnswer: -635 - 217*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4352 (base 7) in base 11?\nAnswer: -1195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3801, -10926, -22809, -39456, -60873, -87066?\nAnswer: -118041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57 and 395466.\nAnswer: 395466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107978 (base 10) to base 9.\nAnswer: -174105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r + 90*r - 104*r. Let p(b) = -23*b - 13. Give p(i(z)).\nAnswer: 23*z - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -975*h**5 - 790 + 790 + (h + 5*h - 5*h)*(h**4 - 11*h**3 + 11*h**3).\nAnswer: -974*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 44*c**2 - 95*c + 394. Determine j(42).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + f + p = 23, 4*f - 46*p + 43*p = -69 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -7 + (3 + (-19 - -8) - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4 = -j, 5*c = 2*j - 5*j + 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 - 95.94. Let k = x + 0.569. What is k rounded to 2 dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124676073 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7382*n**2*x**2 + 106432*n**2 - 2*x**2 + 2*x with respect to x.\nAnswer: 14764*n**2*x - 4*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i\/i**(3\/11)*i*i)\/i)\/(i*i**(1\/3)*i*i*i))**7 assuming i is positive.\nAnswer: i**(-140\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9278 - 9123.96. Round a to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n - 5. Let f be u(-3). Suppose 63 - f = g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 41*s + 342. Let w be u(-48). Solve -8*a + 2*a = w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u - u**3 + 3*u + (3*u + u - 3*u)*(0 + 0 + 6*u**2).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.94 and -0.4.\nAnswer: -0.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1493*c - 3739*c + 293616 = -1154*c for c.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4 + 4. Suppose -4*l = q*y - 2, -4 = -l - y - 3*y. Suppose i + 2*m - 5 = l, -4*i + 3*m + 20 = -2*m. Solve 3 + i = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 98*j + 1558. Calculate q(-78).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101*g + 510*g + 121*g + 3*g + 0*g - g - 3*g + 2*g + 0*g + 5 - g - 5 + (3 - g - 3)*(2 - 1 + 1) + 2*g - 4*g + 0*g.\nAnswer: 526*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 559769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 61 = -0*p - 2*p, -3*j - 4*p = 183. Let t = -3156 - -3175. Let b = t - j. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-268)\/(-22) + 11 + (-1230)\/110. Does 22 divide -77*8*g\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 102*v + 857*v**3 + 84*v - 121*v**3 + 411*v**3.\nAnswer: 1147*v**3 - 18*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (10\/(-20))\/((5\/18130)\/(-1)).\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -12*o - 4*o + 3970420. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10616510 - 2497534. Let l = k - 8118968.000014. Let q = l + -8. What is q rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -28*c**3 + 264*c**2 + 1778*c + 31. Calculate q(14).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1361 - 4455?\nAnswer: -3074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/5 - 106*y**3\/5 - 1224*y**2\/5 + 5152*y\/5 + 6272\/5 = 0. Calculate y.\nAnswer: -28, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*b = 389, b + 188 = 3*n + 761. Let v = 188 + n. What is v rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -3*y**2\/2 - 5. Let v(o) = 4*o. Determine m(v(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49741.\nAnswer: 49741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 475684 and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(286)\/(3*sqrt(11)))\/(sqrt(6)\/sqrt(3)*1).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 14365571*m\/4 + 14365573\/2.\nAnswer: -(m - 14365573)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -21) + 1 + (1727 - 1748).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 + t**2 + t - 1. Let p be q(1). Let r = -2 + p. Differentiate -5*s**2 + 0*s**2 - s**r + 1 + 2*s**2 with respect to s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2490659134.\nAnswer: 2, 1245329567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 3\/2, 15\/19, -12.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 427118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p*p**(-9)\/p)))*((p\/(p*p*p**3))\/p*p)\/p*p)**22\/((p*p\/p**(-13))\/((p*p*p**(7\/4))\/p))**(-4\/11) assuming p is positive.\nAnswer: p**(1501\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**5 + 5472*l**4 - 113132*l**3 - 21888*l**2 + 452592*l = 0.\nAnswer: -2, 0, 2, 21, 1347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20121740, -20121741, -20121742, -20121743?\n\"Answer: -g - 20121739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (0 - 1) + 5 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a factor of 2037495120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1)*18\/54\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -10*a + 166. Calculate the greatest common factor of a and 68.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Suppose -z*s + 30 = -6. Suppose -2*n = -n - s. Calculate the highest common factor of n and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266321.\nAnswer: 11, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(15184*w - 7399*w - 7561*w)*(4 + 1 - 6) + 4*w - 4 + 4.\nAnswer: -220*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 1652?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 4:04 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -263\/4. Let q be 9*(35\/168*-14 + 3). Which is the nearest to q? (a) -2 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + w + 1. Let l(q) = -q**2 + 3*q - 29. Calculate 2*g(x) - l(x).\nAnswer: -3*x**2 - x + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + d - 2.\nAnswer: (d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + u + 8. Let v be a(0). Let b(d) = 9*d - 2*d**2 - 5 - d**2 + 2*d**2. What is the remainder when 7 is divided by b(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/14 + -2 + (-1107)\/21. Let l = o - -65. Suppose l = 3*f + 3*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f - 34 = -34. Let k(z) be the second derivative of f*z**2 + 0 + 4*z - 1\/6*z**3 - 1\/24*z**4. Factor k(x).\nAnswer: -x*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*l**3 + 0 + 0*l**3 + 4*l**3 - 3*l**3 + (-2 - 1 + 1)*(3 - 3 + 2*l**3) + 0*l**3 + 3*l**3 + l**3)*(2*l + l - 9*l).\nAnswer: 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61)\/(32025\/3450)*7?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 0*n + 0 - 2*n**3 + 5*n**2 - 1\/120*n**6 + 1\/4*n**5 - 25\/24*n**4. Let f be r(13). Solve -5 + f = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - -3)*(-4)\/(-5). Which is the closest to -1? (a) -2\/7 (b) -2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 9 = f. Suppose -2*w + 5 = -f. Determine h, given that h**2 + w*h**3 - 2*h**3 + h**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*38\/57*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*p + 113*p - 37096 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(48) + sqrt(48)*-2)*-5)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 285 - 284.7. Let p = 4 + -6. Sort 5, -4, p, c.\nAnswer: -4, p, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3. Suppose d = -4*p + 73 + 31. Suppose -9 = -i - 5*t - p, 50 = 5*i - 2*t. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 8. Let n(z) = 2*z**2 - z - 15. Let l(a) = 7*d(a) - 4*n(a). Let p be l(4). Solve 4 = 2*h, -2*h + 8 = -p*c + 2*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -6*z + 10*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 148989 in decreasing order.\nAnswer: 148989, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1107*x - 1115*x - 24, -3*v + 6 = 4*x for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-77)*(-126)\/(-56) - 6086\/(-4641).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143625 (base 14) in base 3?\nAnswer: -1022121111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.084 - -23408?\nAnswer: 23408.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*x + 134790 = -13*x. What are the prime factors of x?\nAnswer: 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, 0.0577 in increasing order.\nAnswer: -0.2, 0, 0.0577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -132, -150, -150, -126?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98269781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5521301 divided by -3\nAnswer: 5521301\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 114.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-6))\/(4\/((-32)\/6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -9*c - 132. Let r(i) = 41*i**2 + 2*i + 2. Let g(m) = 206*m**2 + 11*m + 10. Give c*g(l) + 11*r(l).\nAnswer: 39*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g - 25*g - 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326912 by 184.\nAnswer: -40864\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 7162163*o + 7 + 7162617*o.\nAnswer: 454*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-10) + (-43)\/(-5) + -8. Let o(s) be the third derivative of -6*s**2 + 0*s + 1\/2*s**5 - 1\/6*s**4 - 1\/3*s**a + 0. Factor o(m).\nAnswer: 2*(3*m - 1)*(5*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zblullfblzbbbbbbbll. What is prob of sequence ulzz?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3258176?\nAnswer: 2, 50909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (0 + 3 - 6 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 18000. Let n = -54 + 31. Let y = -23 - n. Let h be c(y). Round h to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a010 (base 11) in base 2?\nAnswer: -1010101011101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5147\/66 + -475\/6. Let p be (2468\/6)\/(3\/((-45)\/10)). Let r = p - -5494\/9. What is the common denominator of t and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 117*p = 120*p + 7, -2*p = -2*u + 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 16*i**2 - 19*i - 4. Calculate n(-15).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10049 - -10049.1112. Round t to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 886 + 6556. What is the common denominator of 2\/(z\/(-469)) + 4\/10 and -79\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 4 - (-7 - (-1 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134136 and 142326?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 11.4. Which is the smallest value? (a) f (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {i: 2, g: 1, a: 4, e: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 36*l + 3. Let n be o(-36). Let z(r) be the second derivative of 0*r**n + 2*r + 0*r**2 + 1\/110*r**5 + 0 - 1\/66*r**4. Let z(y) = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 326681 by -8.\nAnswer: -326681\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*m - 18 = -232*m + 121*m - 3*x, 0 = -3*x - 0*x - 6 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-34)\/170)\/((-6)\/(-20)))\/(-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 4*a + 3. Calculate y(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (35\/10)\/7?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 216485637 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -125*i**2 - 23*i + 1200. Let v(h) = 83*h**2 + 15*h - 801. Let a(n) = -5*g(n) - 7*v(n). What is the derivative of a(d) wrt d?\nAnswer: 88*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/72 - 410*p**3\/3 + 504300*p**2 + 2931*p + 2. Determine w so that z(w) = 0.\nAnswer: 2460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*l**2 - 4630801*l + 4630801*l + 5*l**3 + 0 + 0.\nAnswer: 5*l**3 - 55*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*c + 4713 = -3502 - 5171. Calculate the remainder when c is divided by 57.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-3\/16))\/(m*(m**(-2\/5)*m)\/m*m))\/(m\/m**(-25))**(-3\/2))**13 assuming m is positive.\nAnswer: m**(39741\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + 46. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**4*x**3 - 47*t**4*x + t**3*x**3 + 10*t**2 - 2*t*x**3 - 11*x wrt t?\nAnswer: -24*t*x**3 - 1128*t*x + 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10408*o + 31 + 23853*o - 32)*(-o**2 + 4*o**2 - 2*o**2) in the form m*o**3 + c + h*o**2 + f*o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 70\/525 + 199544\/120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*f + 10, v + 2*v = 5*f - 4. Suppose b + m + 32 = 0, -136 = -b + 6*b - m. Let t = b + 38. Solve t = -v*d - d + 4*s, 2*d - 2*s = -6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 5*c - 11. Let k = -6227 - -6228. Let r(a) = a - 1. Determine k*t(p) - 6*r(p).\nAnswer: -2*p**3 - p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-2 - -8) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 - 3\/(12\/(-4)) - 3 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Suppose -12 = -3*u + 3*w, -d*u - w + 4 = -4. Sort -6, u, -2 in ascending order.\nAnswer: -6, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {w: 5, m: 3, i: 5, o: 2, a: 1, j: 4}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9005668 is divided by 878?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 + 2*z**2 + z + 8. Let j(x) = -2*x**3 - 2*x**2 - x - 6. Calculate -4*j(k) - 3*q(k).\nAnswer: 2*k**3 + 2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67.8, -4, 0.042, -0.1 in ascending order.\nAnswer: -67.8, -4, -0.1, 0.042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, x: 2, i: 1}. Give prob of picking 4 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f - 279 = -468 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = -8. Let z(d) = -d**3 - 14*d**2 - 26*d + 6. Is 9 a factor of z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12862, -13049, -13248, -13459?\nAnswer: -13682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 - 1720*m + 1331760 = 0. Calculate m.\nAnswer: -716, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o + 5. Let w(u) = 11*u**3 - 2*u**2 + 6*u. Let t(k) = -13*k**3 + 3*k**2 - 6*k - 1. Let y(v) = -6*t(v) - 7*w(v). Calculate y(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 less than 1584\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(4\/25)\/(j*((j\/(j\/(((j*j\/j**(-26\/7)*j)\/j)\/j)*j*j*j))\/j)\/j*j*j**(-1\/4)))**(-24\/7) assuming j is positive.\nAnswer: j**(6822\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 3005778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.05 + -4.05. What is the closest to 0 in a, 0, -117?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z + 18*z = 220. Let w(l) = 6*l**2 - 2. Let h be 3 - (-40)\/(16\/(-4)). Let x = 12 + h. Let u(f) = -5*f**2 + 2. Calculate x*u(n) + z*w(n).\nAnswer: -n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*x + 3*u, 2*x - 5*u = 7 + 8. Let j = -4.6 + 5. Which is the nearest to 0.5? (a) -3 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l**2 + 49*l - 39. What is a(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, -48, 4 in decreasing order.\nAnswer: 5, 4, -10, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-329))\/(7*(-14)\/196).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34597\/36 - -961. Find the common denominator of v and -167\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = 1. Let j(y) = -y**2 - 8*y - 1. Let u be j(f). Suppose 4*w = 4*k + 16, -1 = -w - 0*k + 4*k. Sort -5, w, u in decreasing order.\nAnswer: w, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2240946?\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/4 (b) -0.1 (c) 4 (d) 22\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**3\/3 - 7. Suppose v = -2*v + 15. Let h(c) = 3*c + c - v*c. Calculate i(h(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27455\/3754 + -50833503\/570608. Let j = 1448\/19 + z. Let r = 275\/17 - 23\/34. Calculate the common denominator of j and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7819826615 and -0.851?\nAnswer: 7819826614.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 100.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 13059277, 2\/11, -0.39 in descending order.\nAnswer: 13059277, 2\/11, -0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x. Let g(l) be the second derivative of 2*l**3\/3 + 23*l. Give g(v(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, -1755 in descending order.\nAnswer: 7, -5, -1755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -22. Suppose 0 = -q*b - 2*x - 100, b - 174 = 6*b - 4*x. Let u = 33 + b. Is u greater than -2\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**4 + 6513*u**3 - 10614551*u**2 + 31759035*u + 42380100 = 0.\nAnswer: -1, 4, 3255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36074 - 35831 = 81*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27380?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1132 - 1231?\nAnswer: -3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*b = -24, -2799*g + 5*b - 2*b + 36 = -2763*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -4.4. Let d = 1.2 - a. Let i = 15 + -10. What is the third smallest value in 2, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 10*r - 4. Let f be k(-9). Suppose -6*y + c = -8*y + 9, -c = y - 3. Suppose -6*s - y = -102. Solve -d - s = -f*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 160168*n. Let r(s) = 18*s - 1. Calculate r(f(i)).\nAnswer: 2883024*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1475834.5 times -0.12\nAnswer: -177100.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 16*b - 15. Suppose 8*g + 15 = 9*g. Let y be r(g). Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 5:55 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*m + 907 = 0, 7*k - 6*k - 2*m - 305 = 0. Suppose 0 = 14*q + k - 1003. Calculate the remainder when q is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -34) + 4 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-684269.1\nAnswer: 3421345.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p + 2*p + 2*p)*((p - 7 + 7)*(-3*p**3 + p**3 + 0*p**3) - 3*p**4 + 10*p**4 - 2*p**4).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/70)\/((-5 - -14)\/(-90)). Let b be (-4)\/((-68)\/(-20) + -3). Let v = 11 + b. What is the nearest to v in c, 0, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*n - 171*n - 8400 = -64*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*l**4 - 2*l**2 + 4*l**4 + l**2 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-6)*(-116172)\/(-354970).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 3) + (78\/(-12))\/(120\/9 - 15)?\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 14*o**2 - 11*o + 4. Let a be z(12). Suppose -a = -12*t + 7*t. Let m = t - 33. Let w(i) = -i**3 - 2*i**2 - 2*i - 1. Determine w(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.089 and 0.552.\nAnswer: 0.049128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1741 - 1741.1. Let v = 11.3 - 2.7. Let z = v - 0.6. Put o, z, 3 in increasing order.\nAnswer: o, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a + 25 - a + 33 - a. Let o be s(-12). Solve 14 = -z + o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 9*b = 72, 0 = 3*w + 39*b - 42*b + 15 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19496*b**3 - 9743*b**3 - 9739*b**3.\nAnswer: 14*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 499?\nAnswer: 49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*y*y\/y**(3\/2)*y)\/y))**(-14\/9)\/((y\/y**(-6))\/(y*y*y**(-7\/6))) assuming y is positive.\nAnswer: y**(-97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15 + -25 - (-665)\/76)\/(2\/(-8)). Factor -1\/4*y**2 + 5\/8*y**3 + 1\/8*y**l + 0 + 0*y - 1\/2*y**4.\nAnswer: y**2*(y - 2)*(y - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from wbwbwwwwwwwwwwwwbwww?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 178601, 357209, 535825, 714455, 893105, 1071781, 1250489, 1429235?\nAnswer: 1608025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m - 2*m + 4*m as q + g*m and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + o - 30 = 0, 2*c - 5*o - 7 - 4 = 0. Let u(r) = 2*r**3 + r**2 + 3*r + 6. Let d(x) = -4*x**3 - 3*x**2 - 7*x - 13. Calculate c*u(f) - 3*d(f).\nAnswer: -2*f**3 + 2*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -428, -941, -1462, -1997, -2552, -3133?\nAnswer: -3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110 - 109.6. What is the third smallest value in 2, -1\/3, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.5 - -2.5. Let l = -1008 + 1006. Which is the nearest to n? (a) -3 (b) l (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3\/3 + 240*p**2 - 1844*p + 4816\/3 = 0 for p.\nAnswer: 1, 7, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 14.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/9)\/((-2)\/12). Let c be (-4)\/(-10) + v\/(-5). Suppose 2*z - 5*z - 1 = 5*f, c*f + 18 = z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2160 divided by 20.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5 + 686*v**4 - 17184*v**3 + 156816*v**2 - 631584*v + 951264 = 0. What is v?\nAnswer: -367, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 50 + 48 + 0*q. Suppose -4*s + 5*s - 1 = 0. Let r(z) be the second derivative of -z**4\/12 - z**3\/6 + 10*z. Give s*f(d) + r(d).\nAnswer: -d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 59*g**3\/6 - 29*g**2 - 6*g. Differentiate j(h) wrt h.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 62*v**3 + v + 4 - 61*v**3 + 7*v**2 - 2*v. Let a be n(-7). What is the closest to a in -5, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 8*x - 16. Suppose -1504 = -x*q + 16. Is q a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 475 * 2341.4\nAnswer: 1112165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 67, 99, 133, 169, 207, 247?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 20*b + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95484 is divided by 373.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 3. Let m(z) = -4. Let a(v) = -4*h(v) - 3*m(v). Let f(w) = 8*w. Let p(x) = -x. Let s(i) = f(i) + 6*p(i). What is s(a(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 19*h**2 + 30*h - 2. Calculate p(-21).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2 + 4 - 6 - o**2. Let v(h) = -2*h. Let t(c) = 2*c. Let s(m) = 2*t(m) + 3*v(m). Calculate s(i(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1348*t + 1330*t - 6208753 + 21745975. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*72\/(-45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 0*b - 2\/5*b**2 + 3 + 1\/5*b**4 - 2\/15*b**3 + 2\/25*b**5. Factor s(c).\nAnswer: 2*c*(c - 1)*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4632603085?\nAnswer: 5, 11, 19, 83, 53411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*l - 140 = -297*l - 287*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**4\/3 + 131*f**3\/3 - 4858*f**2\/3 + 27028*f\/3 + 24840 = 0.\nAnswer: -162, -2, 10, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -0.07 (b) -534 (c) 5 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-51)\/(-85) + (-24)\/(-10). Let k be u\/12*52 - 2. Solve 4*a = -k + 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88159*k - 44055*k - 44091*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**4\/5 + 66*h**3\/5 + 198*h**2\/5 + 6*h - 60.\nAnswer: 6*(h - 1)*(h + 2)*(h + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 252234*h**2 - 2003*h**3 - 252234*h**2 - 884*h**3 + 3 - 1 to a*h**2 + z*h + m*h**3 + r and give m.\nAnswer: -2887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 7071 = -4*n, 1393*n - 1398*n + 8840 = -o. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1)*i)**(-15)*i**3*i*i\/i**(3\/5))**(-46) assuming i is positive.\nAnswer: i**(9338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 x, and 2 t when four letters picked without replacement from wsttxyxxxwst.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42033402001 - 3?\nAnswer: 42033401443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/18 - (-9 - (-2 - 6)). Which is the nearest to k? (a) 0 (b) -9 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -193 - 243 - k**2 + 2*k + 206 + (-4 + 4 - 1)*(k**2 - k**2 + k**2) + k**2 + 2*k**2 - 4*k**2.\nAnswer: -3*k**2 + 2*k - 230","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 600541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1981*p**2 + 24*p + 318. Let l(c) = -5943*c**2 + 64*c + 950. Let f(b) = -3*l(b) + 8*w(b). Differentiate f(a) with respect to a.\nAnswer: 3962*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 11) in base 7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q = -43*q + 1530. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.4 and 183.47776.\nAnswer: 182.07776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-three fifths of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Find the second derivative of h*u**4 + 2*u - 5*u - u wrt u.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 238368 and 105432.\nAnswer: 5482464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*u + 2*u + 17, 5*u - 3*s = 59. Solve u*f = -6*f - 19 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 20 = 4*s. Suppose 3*k - 167 = 4*l + 4*k, 2*l + s*k = -80. Let c = 88 + l. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 14*z - 7. What are the prime factors of d(9)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juu when three letters picked without replacement from juuj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1053 (base 8) to base 11\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 77 = 8. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 3*i + 12, 2*s + 3*s - 15 = -i. Suppose 5*m = s*m + 6. Solve 0*z = -3*z - m*w + 27, 4*z = 3*w + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**2 + 3*j**4 - 6*j**2 + (426*j**2 + 490 - 490)*(2*j**2 + 2*j**2 - 5*j**2).\nAnswer: -423*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 3)\/(2 + -6 + 2). Solve b = n + 3*u - 9, 0 = n - 5*u + 29 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 12*b + 14. Let i(s) = 109*s + 111. Let j be i(-1). Let c be r(j). Find z, given that 0*z - 1\/4*z**5 - 1\/2*z**c - 5\/4*z**3 - z**4 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -338*m + 234*m - 58 + 290*m. What are the prime factors of u(6)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -69, -3, 0 in increasing order.\nAnswer: -69, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 5, -17, -5 in decreasing order.\nAnswer: 5, 4, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -367 - -367. Which is the nearest to -0.1? (a) -10 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-2\/15)*h\/(h*h**5))\/((h\/(h*h**(3\/4)))\/(h**(-1)\/h)) assuming h is positive.\nAnswer: h**(-307\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11009.\nAnswer: 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l = 29*l + 15. Suppose 0 = l*t - y - 198, -t = -0*t + 3*y - 56. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jwat when four letters picked without replacement from awjajwawswjwjtw.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (2\/1 - 4). Suppose i = 5*q - 6 + 1. Let c = q + 3. Solve 0 = -c*b - b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59234 and -0.0029.\nAnswer: 171.7786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - c - 56 = 0, 3304 = 2*a - 8*c + 3350 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*q + 8, 4*q + 4*b = -b + 26. Let s be (4 - q)\/(-2 + 5). Suppose -m + 57 - 7 = s. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-3 + 3 + -2)) + -30 + 34\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-11)\/99 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*i - 141184 = -142432 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - 23\/(-3))*3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1 - 2 + 2 + 1 - 3 + 0 + 4 + (0 + 1 + 0)*(-3 + 5 - 3) + 1 - 1 + 1 - 5 + 3 + 3 - 5 - 13 - 9)*(2*h - 5*h + 2*h).\nAnswer: 26*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.76511 millennia to decades.\nAnswer: 9076.511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189526*f**3 + 3267*f - 6537*f + 3269*f - 189515*f**3.\nAnswer: 11*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 9. Let d be l(-11). Let r be (9 + -3)\/(3 + d). Let o(q) = 0 + q**2 - 3 + 6 + r*q + 1. Determine o(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-40)*20 - 6. Solve -3*x = 4*y - 6 + 17, -3*y - x - q = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/250 and -93\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2216 - 2448.1. Let o = t - -232. Let p = 0.2 - 0.1. Which is the closest to o? (a) p (b) -5 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396401 is divided by 452?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c\/((c*c**(8\/3))\/c)*c))*c**(-14)*c**3*c**(-22))**24 assuming c is positive.\nAnswer: c**(-784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 235 - 231. Suppose -3*d = -5*j + 11, 5*d - s*j + 7 + 7 = 0. Let q = 21\/5 - 53\/15. Which is the nearest to q? (a) d (b) -2\/9 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15a42 + 3b4?\nAnswer: -1566c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/w)\/(w**(1\/4)\/w)*(w\/w**(-2\/3)*w)\/(w**(1\/8)\/w) assuming w is positive.\nAnswer: w**(175\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 190*v - 189*v - 19, -4*b + 32 = -2*v. Calculate the remainder when 215 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-10)*(-93660)\/4014.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 - 10*b + 6. Let x be n(6). Suppose 4*d + x = -18. Which is bigger: -19 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 547114315?\nAnswer: 5, 11, 17, 585149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*w - 7*w + 6376, -5*a - 3*w + 31868 = 0. Let q = 114563\/18 - a. What is the common denominator of -58\/3 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**2 + 687*j - 75. What is g(98)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(9\/3))\/(7\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140364 divided by 1114?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 20*n - 15. Let b be (2\/6)\/((-2)\/6). Let w = b - -11. What is the smallest common multiple of o(19) and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -7*j - 80. Let u be a(-12). Let t(p) = -4 + 2*p**3 + 7 - 3*p**2 - p**3 - 4*p. Determine t(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0209? (a) 2\/11 (b) 5\/3 (c) 2\/41 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -23033023?\nAnswer: 23033002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 57 = -3*g, 4*g = -r - 413 + 393 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 3*v - 3*v)*(-316*v**2 - 5*v**3 + 316*v**2).\nAnswer: -15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14*1*14\/28. Suppose -2*d - 8 = -4*c - 18, 3*c = d - 5. Solve 2*r - 4*z - t + 1 = c, -z + 6 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/135)\/(2\/6)*(-2)\/(-4). Which is the nearest to 61? (a) 4 (b) -5 (c) s (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -12*s - 3\/2*s**2 + 1\/10*s**5 + 1\/90*s**6 - 1\/3*s**3 + 2\/9*s**4 + 0. Factor t(f).\nAnswer: (f - 1)*(f + 1)*(f + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2389 divided by -318\nAnswer: 2389\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2752)\/11696*68\/(-6).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2815392, -10 in ascending order.\nAnswer: -2815392, -10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-252)*((-567)\/14)\/27\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 5253920?\nAnswer: 15761760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4)*8)\/((14\/(-18))\/(40\/(-90))).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44774, 89509, 134210, 178877, 223510?\nAnswer: 268109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 - 6 + 6 + (1879 - 48*s - 1879)*(-8*s**2 + 11*s**2 - 11*s**2) in the form t + n*s + y*s**3 + d*s**2 and give y.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 13) in base 12?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 56*k**2 - 3*k - 3*k + 15*k**2.\nAnswer: 71*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 535*d - 188*d + 424*d - 1308 - 41*d + 657*d with respect to d.\nAnswer: 1387","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + w**2 - 1. Let b(r) = r**3 - 3*r**2 + 2*r - 1. Let z be (1\/(-2))\/((-5)\/10). Let k(j) = z*b(j) - a(j). Factor k(p).\nAnswer: 2*p*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9970 and 13337866?\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 768, 0.1, 4\/3, -0.4, 0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {y: 2, b: 2, h: 9}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 3, -0.1, -2\/9, -1, 5 in decreasing order.\nAnswer: 5, 3, -0.1, -2\/9, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 - -118. Let y(s) = -8*s + s + a - s + 10*s. Give y(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 26336?\nAnswer: 79008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 8. Let n be ((-8)\/b)\/(7\/3). Let r be (2\/28)\/((-3)\/18). What is the smallest value in r, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -2*x + 320. Let p(i) be the first derivative of 17*i**3\/3 - i**2\/2 - 3. Let c be p(1). What is the highest common factor of c and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-270)\/(-6)))\/(-1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -224103\nAnswer: -896412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-5))\/(457\/65 + -7). Let t(f) = 2 + 26*f - f**2 + x*f - 57*f. Calculate t(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417638593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 747 - 5049 - 4*p**3 + 8026*p**2 - 9487*p**2 + 4*p**3 + 5808*p.\nAnswer: 3*(p - 483)*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10702650899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*w = 2909 - 101 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 649c7?\nAnswer: 649c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2446899.\nAnswer: 3, 7, 13, 8963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660*f = -693*f + 297. Calculate the least common multiple of f and 3040.\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3983242.\nAnswer: 2, 71, 28051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 105 (b) -29 (c) 0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4557 and 2.\nAnswer: 9114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (180\/140)\/((-9)\/(-6))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 0)*(3 - 1 + 0) - 1 - 2 + 2 + (-1 + 1 + 2)*(0 + 0 + 1))*(-6311*t - t**3 + 16*t**2 + 6311*t).\nAnswer: t**3 - 16*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 5:18 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbqh. Give prob of sequence qb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9978, -11153, -13896, -18849, -26654, -37953?\nAnswer: -53388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*8*14\/(-7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4735*l**3 + 18*l**2 - 19*l. Suppose 0 = 4*r - 5*x - 47, 0 = -x - 3*x + 4. Let b be a(r). What is b rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpgcs. Give prob of sequence gj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and -238412\/31 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-235)\/(-45) + (-4)\/18. Suppose p = y, 4*y - 75 = -4*i + 285. Let c = -21 + i. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*d**4)*(643*d - 1107*d + 637*d) - 2*d**5 - 2*d + 2*d.\nAnswer: 344*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 2*m**2 - 2*m**2)*(0 + 5 - 3)*(-5*m + 3*m + 4*m).\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 395 - 387. Let d = 13 - n. Solve -3 = 3*t, q + 3 = -3*t + d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(176) - (-4 + sqrt(176))))**2 + ((sqrt(176)*1 + -4)**2 - sqrt(176)).\nAnswer: -36*sqrt(11) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/18 - (-12)\/(4 + -1). Suppose -3*w + 32 + 48 = 4*g, r*g + 33 = w. Calculate the remainder when 251 is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5025, -40488, -136809, -324414, -633729?\n\"Answer: -5071*a**3 - 3*a**2 + 43*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((1 + 1 + sqrt(147) + sqrt(147))*5 - (5 + -1*sqrt(147) + sqrt(147) + -1 + sqrt(147) + 5)))**2.\nAnswer: -504*sqrt(3) + 11923","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14752 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 1475*j + 419*j - 1364*j - 2416.\nAnswer: -4*(j + 1)*(j + 604)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-6))\/(3\/(-2979)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(288\/(-45))*(1 - -3). Suppose -5*y + 7*m = 2*m - 24920, 0 = o*m + 25. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-28.84\nAnswer: -57.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-12) + (-13)\/(-2). Round j to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 165425\/12 - 13797. Suppose 0*v + 144 = 3*v. Find the common denominator of q and 3*(230\/v)\/5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-5))\/((-63)\/(-252))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 328*j - 320*j - 3*z, 5*z = 3*j - 35. Solve -4*u = -82*d + 85*d - 6, j*u + 3*d = 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17733773 to the nearest integer?\nAnswer: 4211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235150 is divided by 60?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2. Let m = -55 + 51. Let v(i) = 3*i + 14. Let n be v(m). Let x(d) = 4*d**2 - 5*d**2 - 2*d**n. Give x(g(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -58 + 1 + (2 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1144224 (base 5) to base 13.\nAnswer: 9c10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3923113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102.5 + 102. Suppose -7 = 3*p - 6*t + 2*t, 0 = 4*p + 4*t + 28. What is the nearest to -1 in p, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (7 + (-64)\/8)) + -10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 276523 - 276487. Solve -40*r - n - 244 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/((-24)\/140)*(-396)\/77 is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -35*h - 69. Suppose -12 = 3*t, 2*v - 6*v - 40 = 2*t. Is p(v) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s*t**3*v + 4*s*t**3 - 23*s*v - 3*s + t**2*v wrt t.\nAnswer: -24*s*v + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1017871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2. Let f(c) = -10629*c. Calculate q(f(i)).\nAnswer: -112975641*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2758 divided by 5?\nAnswer: 2758\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 5*s + 11, 791*d - 13 = 787*d + 7*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/12 and 47\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(24)\/sqrt(4) + sqrt(6) + sqrt(6)))**2 + (-3*sqrt(153))**2.\nAnswer: 12410\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 7. Let n be 3 + w*2 + 3. Suppose -b - n*b = -15. Put -1, b, 1\/5 in decreasing order.\nAnswer: b, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 1:29 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*m - 97*m - 192 = -882. What is the greatest common divisor of 5198 and m?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3209 + -3137. Solve 65 = -59*o + i*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(-40)*(g**5*g)**(-28) assuming g is positive.\nAnswer: g**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477038 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 1 = -6*d, -1123*d + 1121*d = -2*y - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13249207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100101 - 1?\nAnswer: 1110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - t + 4. Let k be v(0). Suppose 66*p - 64*p - 130 = 0. Suppose 2*w - 83 = -p. Solve g + 9 = -k*c, -2*c - c - w = 3*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 7*k + 3. Let q = 5 + -9. Let y be (-25)\/q + (-5)\/20. Give p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/6 + 19\/30. Let t = 191 - 191.1. Let n = 0.3 - -0.7. What is the closest to t in z, -0.4, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -1034, -3589, -8570, -16787, -29050, -46169, -68954?\nAnswer: -98215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-25) - 92\/(-5). Let l = i - -16. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (4 - 5) + 3 + -1. Suppose -3*b + 6 = u, 4*q - 5*q + 2*b + 16 = 0. What is the smallest value in q, 1, 5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 67*o - 209. Let t be h(3). Let v(n) be the first derivative of -4*n - 1\/2*n**2 - 2. What is v(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*d = -18. Let f = -4 - d. Suppose -g + 36992 = 5*t + g, -f*t - 5*g + 14780 = 0. What is t rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-10)*59565\/(-594). Let c = 16240 + -146330\/9. Let m = c - d. What is the common denominator of -1\/24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1, 3\/2, -0.4, 4, -1, 1.295, -2361?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 41. Let i be t(18). Suppose 4*m - 342 = -i*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 30, 49, 72, 99?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 20 + 8. Let t be 2\/6 - s\/(-6). What is the highest common divisor of 15 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -702 - -716. What is the greatest common divisor of x and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**6 + 3278*i**5 + 8381*i**2 wrt i.\nAnswer: -240*i**3 + 196680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733 is divided by 60?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4 = -0*v - 0*v - 4*v, -5*v + 2554 = -3*q + 2566 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(0*s**5 + 3*s**5 - 2*s**5) + (3*s**3 + 2*s**4 - 3*s**3)*(4 + 4*s - 4).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31435, 31309, 31099, 30805, 30427, 29965, 29419?\n\"Answer: -42*v**2 + 31477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-94)\/3*(-18)\/12. Let w = -27 + y. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1154.92 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10*q - 2. Determine a(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*w - 8 = 0, 5*w - 183 + 61 = 8*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 325442130*o**3*q**6 + 7*o**3*q**2 + 9*o**3*q - 2*o**3 + 18629*o*q**2 + 11*o*q + o wrt q.\nAnswer: 39053055600*o**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -169416f + 1?\nAnswer: -169416e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4081958 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + 1. Let q = -0.3 + z. Let n = 4 - 4. Which is greater: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1252000 to the nearest ten thousand.\nAnswer: 1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 47 = 3*r, 2*y - y - 2*r - 26 = 0. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 g when three letters picked without replacement from fwugwkug.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4108164.9 to the nearest 100000.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 248. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5085.687 + 5088. Let l = u + -3.0353. Let j = l - -0.74. What is j rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1563 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 199898712 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -24. Let f = -18 + n. Which is the second smallest value? (a) 0.07 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1539) + 2)*-3 + (sqrt(2299) + sqrt(2299) + sqrt(2299)*2 - sqrt(2299))**2 + sqrt(2299) + 1 + sqrt(1900) + 2.\nAnswer: -6*sqrt(19) + 20693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9022.21 and -3.\nAnswer: 27066.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 34379?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**3 - 5*s**2 + 15*s + 27. Let u be p(-7). Let n = u - 100. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmwowowoggx. Give prob of picking 2 w.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i. Let l be d(4). Suppose 0 = l*c - 2*c - 720. Round c to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -294 - 84?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 29817712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -1641 + 1641. Let z(b) be the first derivative of n*b - 33 - 1\/4*b**2 - 3\/16*b**4 - 1\/20*b**5 + 1\/24*b**6 + 5\/12*b**3. Factor z(r).\nAnswer: r*(r - 1)**3*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -2*g - 3064. Suppose -c = -11 + 3. Let a(j) = -j - 5. Determine c*d(i) - 3*a(i).\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 19.6. Sort g, 1, -0.2.\nAnswer: -0.2, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8477338 to the nearest integer?\nAnswer: 2912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(242) + -2 + sqrt(50).\nAnswer: -2 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - 2 + 2)*(2 - 2 + 3*k) + (-2*k + 1 + k + 0)*(0*k - 2*k + 4*k)*(154 - 85 - 19) in the form x*k**2 + u + s*k and give x.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-49) + ((-40)\/(-50) - (-656)\/630)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 60 = 20. Let m = -37 + r. Solve 0 - m = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -20*t**3 + 372*t**2 + 4212*t - 25300 = 0.\nAnswer: -11, 23\/5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18539935?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 19828*-1.7\nAnswer: -33707.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 3*a + 33 = 0, b + 3*a - 76 = -87 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, l: 10, e: 2, n: 3}. Give prob of picking 3 l and 1 r.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**3\/6 + 17*q**2\/2 - 12*q. Let r be w(-11). What is the smallest common multiple of 6 and (96\/(-28) - r\/(-14)) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5866, -11788, -17710, -23632?\n\"Answer: -5922*g + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52505526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o**9)\/(((o**(-1)\/o*o)\/o)\/o)**(-2))**30 assuming o is positive.\nAnswer: o**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -946984000 rounded to the nearest 1000000?\nAnswer: -947000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -3*g**4\/8 + 34*g**3\/3 + g**2 + 455*g. What is d(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p. Let k(l) = 3*l. Let v(w) = -2*k(w) + 9*n(w). Let g(a) = 5*a**2. What is v(g(r))?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-4))\/((-3)\/(-8)). Suppose w*n - 3*n - 12 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003560222 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 15, -v + 19*o = 17*o - 368. Does 17 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/188731774 and -67\/33.\nAnswer: 566195322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 42504 divided by 759?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/5, 1\/3, -2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2448) - ((sqrt(2448) + -2)**2 + sqrt(2448))) + 3 + sqrt(17) + -1 - ((5 + sqrt(68)*1)*-1)**2).\nAnswer: -116*sqrt(17) + 10172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-190)\/(-2280))\/(5\/8).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1368*t = 821*t + 36649 for t.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 20, -1554, 40 in descending order.\nAnswer: 40, 20, -2, -4, -1554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -80, -99, -118, -137?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + (-2)\/(24\/(-114)))\/(7\/8778)?\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 1:53 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 + 49)*1*1\/4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -349431 + -1?\nAnswer: -349432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 15. Suppose 0 = g*y - 896 + 176. What is the tens digit of 254\/9 - 32\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 23 = 2*d + 3*g, 27 = 3*d + 3*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 10:34 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Let t(a) = 6*a**2 - 4*a**p - 3*a**2. Let g(y) be the first derivative of y**3\/3 - 1. Determine g(t(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**6\/120 + b**5\/60 + b**4\/12 + b**3\/3 - 8*b**2. What is the remainder when 37 is divided by c(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-126)*6\/(-20)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 572 + 584 = 0. What is z in -13*z**3 - 36*z + 3*z**3 + m*z**5 + 41*z + 3*z**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 + -6 + 3 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -6 + 3\/2*z**2 - 4*z. Let r(y) = y + 1. Let l be r(3). What is m(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 20*y + 32. Let u(r) = 2*r**2 - 39*r + 65. Let p(b) = 5*j(b) - 3*u(b). Let a be (12 - 21)*(10\/3 - 5). Let m be p(a). Which is bigger: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*g*y + 38307*b**2*g - b**2*y - 14*b*g - 17*b - 1397953*y with respect to y.\nAnswer: 2*b**2*g - b**2 - 1397953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 586 + -559. Solve -21 = -3*w - d for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 45. Suppose -z*d - 3*w = -1173, -3*d - 4*w + 1716 = -43. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11*s + 26. Let n be k(4). Let q be -10*n\/6 - 1*3. Does 25 divide (2 + 1)*(-222)\/q*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4 = -3*l + 69, -5*v - 4*l = -92. Suppose -v = 2*r - 6*r. Let u = 10 - -12. Calculate the lowest common multiple of u and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3*q**3 - 5)*(-5 + 1 + 1)*(0*q + q - 9*q) to v*q**4 + p*q + f + w*q**3 + m*q**2 and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1151318.\nAnswer: 2, 7, 82237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9 + 4*s + 0*s**2 + 1 + s**2. Let j be g(-6). Suppose 4*w - 1 = 3*h - 2, j*h + 5*w = -9. Let b(m) = 4*m**3 - 2*m**2 - 2*m - 1. Calculate b(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 54?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/488*(-3)\/(-12)*24\/(-60)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -66*p + 57. Let s be i(-7). Is s\/(-4)*(-1 - 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 38. Suppose -s*z + 1 = 33. Which is the closest to 2? (a) -5 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 51. Suppose -4*h + 902 = 2*j, s*h = 4*h - 4*j - 872. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -4*a - 2*i + 28, -17*i + 9*i = -4*a + 100 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286568580 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, j: 4, n: 2, i: 1, l: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 663?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 8*r + 0*r**2 - 6*r**2 - 8.\nAnswer: -2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414290*k + 417489*k = -223930 for k.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.9 less than -24323.0598?\nAnswer: -24330.9598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 899*d**2 + 12*d + 4. Let v be q(-1). What is the highest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 23, 4, 644, 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -68628.3447 rounded to the nearest 10?\nAnswer: -68630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10852 - 27700 = 702*b for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:53 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-3 + 2 + (-1 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 38. Suppose -5*m + 8 + 2 = q. Determine s, given that 6\/5*s - 6\/5*s**3 + 4\/5*s**m - 4\/5 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6797 * -0.41\nAnswer: -0.688677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -81.9 times -0.8\nAnswer: 65.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4216 + 11787. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002737 to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**2 - 42*a - 24. Let p(s) = -s**2 + 22*s + 12. Let q(r) = -5*p(r) - 2*w(r). Calculate the remainder when q(-8) is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*x - 109*x = 40296. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32751728 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 10 - 15)*(6 - 6 - 3*c)*(c + c - c) as z*c**2 + y + j*c and give z.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8 - 328*d**2 + 12*d**4 + 328*d**2 wrt d.\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:27 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1811, -7153, -16085, -28607, -44719, -64421, -87713?\n\"Answer: -1795*f**2 + 43*f - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -311 - -6843\/22. What is the common denominator of 57\/4 and m?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96849 is divided by 7784?\nAnswer: 3441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 99*r**2 - 215*r + 703. Determine h(97).\nAnswer: -1334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/29*38\/(-456)*2*-4.\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3188977.45 rounded to the nearest 1000?\nAnswer: -3189000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1256684 divided by -52?\nAnswer: 24167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 2. Let i(p) = -4*p - 8. Let r(u) = i(u) - 3*m(u). Determine r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 6:25 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*d - 7 = 0, -2*f - d = 2*d - 10. Calculate the remainder when (15 + 1)*f\/(-2) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/9 + 73*a**2\/9.\nAnswer: a**2*(a + 73)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1.3. Let f be (-2)\/(-7) - 19\/42. Let m = -8\/5 - -11\/5. What is the biggest value in f, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 612 + 468. Is 120 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 11*m**2 - 14*m - 2. Let o be v(-12). Let t = -7 + o. List the prime factors of 1*3 - (t - 47).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 9. Suppose -r*a - 1 = 3*s - 2, 5*s = 5*a + 10. Is s at least 1\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -0.33, -3\/10, -0.18?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 7*m**2 + 18*m - 122. Calculate the remainder when 252 is divided by i(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*q**2 + 2*q + 11*q**5 + 2*q**2 - 5*q + 6*q wrt q?\nAnswer: 660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475768343 to the power of 1\/2, to the nearest integer?\nAnswer: 38416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 plus -0.36419437?\nAnswer: -22.36419437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 p, and 1 y when four letters picked without replacement from {y: 4, s: 9, p: 3, q: 1, c: 2}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7012 + 16241. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 468?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 2. Let l be h(0). Suppose -3*n + 125 = l*n - 5*z, -54 = -2*n + 3*z. Calculate the greatest common factor of n and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)**38*(r**(1\/4))**(-2\/47))\/((r\/(r**(-3\/7)\/r))\/r*r*r\/(r*r**(2\/9))*(r*r**3*r)\/(r*r\/r**(-6))) assuming r is positive.\nAnswer: r**(-220399\/5922)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1))**47*w*w*w*w\/(w*w**(-2\/11))*w*w*w**(-1\/13) assuming w is positive.\nAnswer: w**(730\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24684870 divided by -5\nAnswer: -4936974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 12*n + 3. Let y be k(6). Let f = 10 - y. Which is greater: 8 or f?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -20*t + 3388. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 221220020?\nAnswer: -221220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*v - 0*v + 2, -5*x = -5*v. Let h = x - -12. Calculate the least common multiple of h and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 10:23 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 1:49 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4654\/(-602693)*63\/6.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -5*l + 10 - 12*l - l**3 - 6*l**2 + 21*l - 3. Suppose -114 = -8*y + 5*y. Suppose -t + 5 - 31 = 5*v, 2*t = 5*v + y. Calculate i(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 942285295.\nAnswer: 5, 7, 2347, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 2*a - 1. Let i(u) = -u**2 - 2*u + 1. Let z(s) = -3*i(s) - 2*v(s). Give z(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 + 5*j - 2*j**2 + 16*j - 25*j - j**3 - 2 in the form m*j + o + n*j**3 + w*j**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeoooeeo. What is prob of sequence eo?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/66))\/(m**(-2\/7)*m))**(14\/11) assuming m is positive.\nAnswer: m**(125\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37422938 and 53461340.\nAnswer: 374229380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 636, 957, 1278?\nAnswer: 1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 732 - 13992. Calculate the least common multiple of 12 and s.\nAnswer: 4908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and 78884.\nAnswer: -2445404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.9 + 0.9. Let g = -3.1 - w. Which is bigger: -5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7451 not equal to 7451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1702632600 by 5.\nAnswer: -340526520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 42984139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 89510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, 744, -4, -2, 4 in descending order.\nAnswer: 744, 12, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 188430371 to the power of 1\/3, to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + v + 0*v - 3*v - v + (1 - 1 - 1)*(3 - 3 - v))*(-5 + 1 + 3)*(0*v + 2*v + v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -8. Suppose 19 = 3*t - 4*m, -t + o = 4*t - 3*m. Which is greater: 1\/23 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000 (base 3) in base 14?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, 10, 21, 36, 55, 78?\n\"Answer: 2*f**2 + f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2588 + -2587. Put 309, f, -8 in decreasing order.\nAnswer: 309, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 2*c + 7 - 15, 0 = 4*u + c - 18 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20139510?\nAnswer: 2, 3, 5, 601, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (35 - 51) + 19 - (-1 + 21 + 1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -148 (b) -4 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -9)*((-2)\/(-6))\/(46\/(-1311))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32334538 times -0.4?\nAnswer: 12933815.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.717 + 0.917. What is the closest to w in 0, 0.07, -1\/22?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*d - 9, -d - 2*y = -0*d - 3. Suppose d = -q - 4*v, q - 2*v = -q + 10. Is q greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 12) in base 13?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13301 - -2221022200?\nAnswer: 2221102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -258 + 2836\/11. Let s = 98.5 - 99. What is the closest to s in j, 3\/4, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a + -1cc898d?\nAnswer: -1cc8963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 190975.\nAnswer: 3819.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 48. Calculate the remainder when 22 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8883 - 7253 = -646*q - 2570 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u + 26*u - 10*u + 16*u)*(0 + 0 + u).\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 240*u**3 - 6*u**2 - 104*u - 84. Let s(h) = 239*h**3 - 8*h**2 - 132*h - 84. Let g(d) = 5*b(d) - 4*s(d). What is the third derivative of g(y) wrt y?\nAnswer: 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 0*d**4 - 1\/2*d**3 - 1\/30*d**5 + 2*d**2 + 0*d + 0 - 1\/30*d**6. Let v(z) = -9*z**3 - 5*z**2 - 7. What is -7*b(f) + 3*v(f)?\nAnswer: f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(357\/1904)\/((-6)\/30)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -2. Let i = -7884.9 + 7885.4. What is the nearest to 1 in i, p, 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 divided by -5.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -12*n**3 - 34*n**2 - 91*n - 7. Let x be s(-3). Calculate the greatest common factor of x and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2218*b + 95372. Give o(-43).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((78\/63)\/13)\/((-153)\/(-1836))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/11 (b) -34\/77 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 93 - (6\/(-1))\/2. Calculate the greatest common divisor of q and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 5*o - 6*o + 3*o - 2*o - 2*o + (2 + 1 + 0)*(0 + 2*o + 0) - 2*o + 2*o - o + 3*o + 10*o + 4*o - 4 + 10 + 18*o - 16*o.\nAnswer: 21*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (27682\/3)\/((-128)\/(-192)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -40*p + 4. Let c be b(0). Let u(q) = q - 23 + 20 - 3*q. Give u(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 - 267 - 26*v + 38 + 73 + 78.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + -64. Let t = 0.3 - -0.2. Which is the biggest value? (a) 2 (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**34)**(-42))**(-8\/3) assuming r is positive.\nAnswer: r**3808","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 768337.5 nanograms in milligrams?\nAnswer: 0.7683375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + c - 3*c + (-3 + 0 + 5)*(-5*c - c + 4*c) - 2*c - c + 5*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = -z, 3*z = 2*o + 4 - 6. Suppose -3*w - m + 71 = -3*m, 3*w + 2*m - 91 = z. Round w to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + (2*-1*sqrt(245) + sqrt(245))*-5)**2.\nAnswer: -12300 - 700*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2 - 1)*676572\/13011?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2765*s - 201951. Calculate v(73).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -225.3239*-0.3\nAnswer: 67.59717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 22*x**4 + 3*x**3 - 5*x**2 - 3. Let l(m) = 43*m**4 + 5*m**3 - 11*m**2 - 5. Let k(f) = -6*l(f) + 10*o(f). Find the third derivative of k(u) wrt u.\nAnswer: -912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -9271946.\nAnswer: -3\/9271946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 60.99975. Round h to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 - -31. Suppose -3*w - 53 = 19. Let y = w - q. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 11577934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-2) + 0\/(-4 + 16). Let n(o) be the second derivative of -y*o - 1\/60*o**4 + 1\/100*o**5 + 0*o**2 + 0 - 1\/15*o**3. Let n(q) = 0. What is q?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 442, 664?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3\/7)*w)\/(w\/w**(-3)))**39*(w**(-4)*(w*w**(-5))\/w*w)\/(w*w**(-2\/13)*w**5) assuming w is positive.\nAnswer: w**(-13428\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*f**2 - 171*f**2 + 67*f**2.\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 579.148 - 580. What is b rounded to two decimal places?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7653, 15266, 22879, 30492?\nAnswer: 38105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -493014*l + 1290371*l**3 - 72200 + 203454*l - 1290379*l**3 - 3042*l**2.\nAnswer: -2*(l + 190)**2*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 3*g**2\/2 + 1. Suppose -14*n + 12 = -10*n. Let j(y) = n*y + 9*y - 15*y. What is j(m(z))?\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -85*k + 155*k - 630 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 804 + 350. Suppose 0 = 23*h - 82827 + s. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -201\/4 + 50. Sort -0.05, x, 1\/2, -2\/13.\nAnswer: x, -2\/13, -0.05, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 8. Suppose 0 = -3*y - v*u + 8, -28 = -4*y - u. What is the remainder when (-2 + 3)\/((-2)\/(-30)) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -0*f - 3*a + 35, -3*f = 3*a + 21. Let s = f - -5. Let r(o) = -o**3 - o**2 - 3*o - 3. Calculate the remainder when r(s) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 1 - -9276461 - 2. Suppose 97776458 = -5*m + n. Round m to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 368.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3021620 by 20.\nAnswer: -151081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*(sqrt(1053)*3 + sqrt(1053)))**2.\nAnswer: 151632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.1 and -31.\nAnswer: 96.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5*sqrt(1100) - sqrt(1100)) + sqrt(1100).\nAnswer: 1 + 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qammmstamqjqmtmmm. What is prob of picking 1 m and 2 t?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13b (base 12) in base 4?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqpp when four letters picked without replacement from mqqpmpqmqm.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3264 and 10.\nAnswer: 16320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 12:54 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(190) - ((sqrt(190) + 4*sqrt(190) + sqrt(190) - sqrt(190)) + sqrt(190))) - sqrt(190))\/sqrt(10) + sqrt(19)*5*4*6.\nAnswer: 94*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 243024405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 5:37 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 121?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/3 + 14\/(-21))\/2. Suppose 1746 = z*p - 249. Let u = -284 + p. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - v + 12 = 0, 3*h + 30*v = 28*v - 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22639 + 11294 + 11263 + 2*u**3 - 22*u**2 to the form a + w*u + h*u**2 + m*u**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 113118*w + 226224.\nAnswer: 3*(w + 2)*(w + 37704)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 675368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*w + 20 - 14, -10 = -5*w - 6*i. Sort w, 1\/8, -7.\nAnswer: -7, w, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 2, 11, -2, 33, -4 in decreasing order.\nAnswer: 67, 33, 11, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*m + 2*l, m + l - 6 + 2 = 0. Suppose -580 = -m*n + 5*n. Suppose 4*u + u = n. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(6)\/sqrt(2)) - sqrt(19) - (sqrt(19) + sqrt(114)\/sqrt(96)).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 3*c**2 + 2*c. Let s be n(-3). What is the common denominator of s\/18 + 674\/60 and ((-2)\/(-8))\/((-25)\/970)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2893623, -11574467, -26042529, -46297809, -72340307, -104170023?\n\"Answer: -2893609*h**2 - 17*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 18 = 3*r - 3, -r = -4*f + 8. Suppose -2*g - 60 = 3*y - 251, -f*g = y - 66. What is the remainder when y is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(18\/8)\/3. Let f(d) be the first derivative of -1\/3*d - 1\/9*d**3 + c + 1\/3*d**2. Find t such that f(t) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1515, 5939, 13273, 23511, 36647, 52675, 71589?\nAnswer: 93383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -4\/3*p**6 - 11*p - 3\/2*p**2 + 0*p**4 - 2\/3*p**3 + 0*p**5 - 77. What is the second derivative of b(t) wrt t?\nAnswer: -160*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5605, 11208, 16811, 22414, 28017?\n\"Answer: 5603*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -l + 3*a, 2*a + 46 - 38 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 263146 + 20?\nAnswer: 263166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 514742\/13, 13, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2493195*m**5 + 2*m**4 + 19*m**2 + 25577*m wrt m.\nAnswer: -149591700*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1235 = -510*o + 575*o for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + w**2 - 3*w**2. Let i = 18 + -16. Let o(s) = s + 5. Let f(h) = 1. Let k(j) = i*o(j) - 10*f(j). Give b(k(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 36 = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52728779 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 17*g**2 - 17*g + 22. Let j be y(-18). Is (-2 + 442)\/j*3\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/45 and -46\/315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m + 17*m - 15 = 0, m + 13 = 2*z. Suppose -5*s = -0*s. Let v = -1 + s. Sort v, z, 0.\nAnswer: v, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.1 and -5.6.\nAnswer: -101.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*t - 40, 9*t - 4*t - 40 = 5*o. Suppose 3*w = 2*w - 2*h + 17, -2*w - 5*h = -35. What is the remainder when w is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17950 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 114*o + 2974. Give d(-73).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5093190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362593171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4227, -8456, -12685, -16914?\nAnswer: -21143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 854.3 rounded to the nearest 10?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = -0. Let k(r) = r. Let w(u) = 6*u + 3. Let i(p) = 2*k(p) - w(p). What is i(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-4))\/(-17*(-33)\/748).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*c**3 + 65*c**3 + 3*c**3 - 23*c**3.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 < -92347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52983?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2. Let o(t) = 1300328*t**2. Calculate o(v(j)).\nAnswer: 1300328*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -10*z + 0 + 0*z**3 + 1\/12*z**4 + 10*z**2. Let y(j) be the first derivative of w(j). Let s(f) = -28*f. Determine s(y(h)).\nAnswer: -56*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + p**2 - p. Let m(z) = -35085*z**3 - 4*z**2 + 4*z. Let l(w) = -m(w) - 5*o(w). Is l(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2 + (-10)\/5. Let t(b) = q*b + b + 4*b + 10*b - b**2 - 18. Does 7 divide t(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 21 = -61. Let t(o) = -o**2 + o - 3. Let p(l) = l + 1. Let w(n) = a*p(n) + t(n). Give w(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.022 + 46.578. Let m = -47 + d. Let b = -0.03 + -4.97. Which is bigger: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 71 - 80 = v, -4*v = -2*m - 4. Let u(i) = i**3 - 2*i**2 - i - 3. Let f be u(3). Determine g, given that -32\/3*g**2 - 4\/9 + m*g + 64\/9*g**f = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 440 + -466 + (2 - 2 - -20)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 3*t**4\/10 - 22*t**3\/15 + 6*t**2\/5 - 4. Suppose u(w) = 0. What is w?\nAnswer: 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b - 750 + 750 + 2*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1201680*u**2 - 3493800*u wrt u.\nAnswer: 2403360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/7 - 2054*t**2\/7 - 101400*t\/7.\nAnswer: -2*t*(t + 52)*(t + 975)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 3:13 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3020470, -12081865, -27184190, -48327445, -75511630?\n\"Answer: -3020465*g**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-178*7\/(-14). Let s = 386 - q. What are the prime factors of s?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ox when two letters picked without replacement from {x: 14, o: 2, w: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 7. What is the lowest common multiple of i and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38153809.\nAnswer: 2129, 17921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*f = -4*c - 44*f + 9, 5*c - 2*f = 17. Let d = 163 - 61. Suppose -1351*t**4 + 406*t**4 - 20*t**2 - 238*t**3 - d*t**c = 0. Calculate t.\nAnswer: -2\/7, -2\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 4*l - 11*l - 3*l**3 + 4*l**3 - 3*l as a*l + b*l**3 + c*l**2 + n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**2 - 10*q**2 + 5*q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 40 = -2*u - 3*k, 0 = 5*u + k - 200. Suppose 2508 = u*g - 2*g. List the prime factors of g.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*m**4 + 0*m**2 + 2*m + 1 - m**2 + 2*m**2 as w*m + t*m**4 + z + f*m**3 + h*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 4:42 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3527, 4, -5 in ascending order.\nAnswer: -3527, -5, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90201510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - 423\/(-144)*-8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4b83a (base 16) to base 7\nAnswer: 2425524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -720, -3123, -7128, -12735, -19944?\n\"Answer: -801*x**2 + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s + 3*w - 3, -12 = -4*s + 4*w. Let o be (1\/(-2))\/((-1)\/(-4)). Put -4, o, s in descending order.\nAnswer: s, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 0*g = -2*u - 3*g + 8, -5*u - 22313*g + 22312*g = 32 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 442794 divided by 22\nAnswer: 20127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2 + 1 + 14*q - 4*q. Let f(g) = -5*g. Let l(t) = 5*f(t) + 3*m(t). What is the units digit of l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 1*(-14)\/10. Let r = 0.06 + -0.36. Put -4, n, r in decreasing order.\nAnswer: r, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199987394 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -651*a + 0*a**2 - 3*a**2 - 653*a - 2*a**2 + 1304*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1021 = -0*s - 2*s + 183. What is the smallest common multiple of s and 119?\nAnswer: 10234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(33\/9)*(-9)\/(81\/42)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31328 and 10567216.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 534026, 1068320, 1602614, 2136908?\n\"Answer: 534294*i - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u - 3. Let h(v) = -8*v**2. Give h(t(j)).\nAnswer: -512*j**2 - 384*j - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2943*h*v**3*z**3 + 363*h*v**3 + 4*h*v**2*z**3 - h*v**2 + 3*v + 7654*z**3 wrt v?\nAnswer: 17658*h*z**3 + 2178*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6127*g**4*m**3 + 11*g*m**3 + 349807*m**3 with respect to g.\nAnswer: 24508*g**3*m**3 + 11*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -363 and -0.4.\nAnswer: 145.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + 1. Suppose 0*p + s = -3*p + 29, 0 = 5*p - 2*s - t. Suppose -5*h - 18 = -53. Calculate the smallest common multiple of h and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2. Let d = -0.3 - 0.5. Let i = -0.4 - d. What is the nearest to 2\/3 in y, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1671 divide 1711151037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.530929 millennia?\nAnswer: 6530.929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krgkrkpkgrr. Give prob of picking 3 r.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.85725l in millilitres?\nAnswer: 94857.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9064 - 8200. Solve 865*l = f*l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*l. Let b be -2 + 3 + 3 + l. Suppose 0*y + y = 0. Solve 8 = -y*t + b*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 841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/19)*(z*z\/(z\/z**17))\/z*z*z assuming z is positive.\nAnswer: z**(357\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 2 + 2*m**2 + 12*m**2 - 10*m**2. Suppose 5*h = -5*c, -3*c = 2*h - 5*h + 12. List the prime factors of l(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47\/18 - -1\/9. Suppose -u = c + 8, 0*u - 2*u = 4*c + 22. Which is greater: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/36*1*4*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 67 times 0.1\nAnswer: 6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 15*f - 22. Let y be h(-13). Suppose 0 = 2*z + z + 2*t + 11, -y*z = 4*t + 12. Is ((-1478)\/z)\/((-24)\/(-120)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 16 = -15. Suppose 5*z + 12 = -8. Let l = o - z. Calculate the highest common divisor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51744 divided by -17248.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4288 and 11179888?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yssyyyyysssyss. Give prob of sequence ysys.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3677064947.\nAnswer: 23, 29, 727, 7583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2 + 1322291*s - 1322291*s. Let j(n) = 1284*n. Calculate q(j(t)).\nAnswer: -4945968*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2061 is divided by 262.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*g**3*k*y + 5*g**3*k + 2861299*g**3 - 3*g**2*k*y + 26*g**2 + 5*g*k*y - g*k - 51620*k wrt g.\nAnswer: 90*k*y + 30*k + 17167794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*a + 3261*a**2 - 3 + 3348*a**2 - 6601*a**2 in the form j + s*a + r*a**2 and give s.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 671656, 671659, 671662, 671665?\nAnswer: 671668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -86852088 divided by 2019816?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1468*p + 22. Let t(n) = -365*n - 6. Calculate -5*l(i) - 19*t(i).\nAnswer: -405*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 22 = -34. Let n(b) = -2*b**2 + 10*b. Let f(y) = 2*y**2 - 9*y. Give k*n(c) + 5*f(c).\nAnswer: 2*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1098851\/30 + 36633. Let m = 2341 + -13981\/6. Calculate the common denominator of m and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 8899.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*z + 9, z - 3*h - 15 = 2*h. Let b(y) = y + 3. Let f be b(z). Let t(w) = w**3 + 6*w**2 + 6*w + 7. Let p be t(-5). Is f < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161485751.\nAnswer: 7, 1543, 14951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 0.4, -1, 27, 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 6*l**2. Let v(s) = 43308*s + 43. Calculate v(f(g)).\nAnswer: 259848*g**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 3 + 62. Let w = 42 - c. Let k(f) = -f**3 + 4*f**2 + 5*f - 5. Calculate the remainder when w is divided by k(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/8 + 21\/28. Let j = 103 - 79. Let d = j + -21. What is the closest to d in 2, -0.2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 - 477265*k\/4 + 1670403\/2.\nAnswer: (k - 477258)*(k - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j + 30*j**2 - 18*j + 34*j.\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 21344?\nAnswer: -512256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20134 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:04 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-15))**40\/((a*a\/(((a**14\/a)\/a*a)\/a)*a)\/a**(2\/47)))**3 assuming a is positive.\nAnswer: a**(-83325\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548585 is divided by 247.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l + 6*l = 0. Suppose -f = -l*a - a - 1, f - 3*a = 3. Let j(n) = -7*n + f*n + 0*n + 9*n. What is j(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -278*y**5\/5 - y**4\/6 + y**3\/6 - 3*y**2\/2 + 3*y. Let s be j(-3). Round s to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6107 - -4.\nAnswer: -6103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let k be (-91)\/546*8\/(-2). Let z = 13\/2 - 7. Which is the nearest to -1? (a) k (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -0.3 (c) 2\/3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -5.\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -581463?\nAnswer: -581463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 9156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 s when three letters picked without replacement from {s: 5, o: 11}?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o - 262 = -i, 3*o + 34*i - 9*i - 27*i = 16 + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 10 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6490 divided by -5\nAnswer: -1298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4470879 + 4470879.2079619. Let l = d + -0.208. Round l to 6 decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + 1965514?\nAnswer: 1965520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.3. Let q be (3 - (3 - 3)) + -2. What is the closest to -1 in q, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50256911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1175 - -1737. Let p = -561.998466 + g. Round p to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 1, x: 2, p: 1, y: 1, d: 2}. What is prob of sequence xdy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1738903 is divided by 43472?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 8*u = 0. Let x(m) be the first derivative of -1\/2*m**2 + 2\/3*m**3 + 1 + u*m. What is the second derivative of x(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3*2)\/(28\/(-294)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 5*r + 5*r + 3)*(-4*r**2 + 3*r**2 - r**2).\nAnswer: -8*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -13*k**2 + 12*k - 29. Let f(m) = 7*m**2 - 7*m + 16. Let j(n) = -11*f(n) - 6*z(n). What is j(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 694 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0916101549 rounded to 3 dps?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474, -3854, -13054, -30984, -60554?\nAnswer: -104674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 151440350 to the power of 1\/2, to the nearest integer?\nAnswer: 12306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -5 - 0 - (-1 + 8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 50\/(-13) + -26 + 30. What is the smallest value in 1, -1, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*n + 5*b + 260, 5*b - 90 = -2*n. Let z = -1581 + 1732. Suppose -r = n - z. What are the prime factors of r?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1369a41 (base 13) in base 14?\nAnswer: -b593a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -145.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 3*u + u**2 + 45*u**3 - 8 + u**4 - 28 + 35 in the form t*u**2 + b*u**4 + x + h*u**3 + n*u and give h.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 74801171 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 32\/9 of a day?\nAnswer: 5120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {q: 2, h: 6, b: 11}.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*(1 + 225\/14 + 1756\/(-3073))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*p - 19*p + 2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33150464 to four decimal places.\nAnswer: 0.3315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000222010 - -10100?\nAnswer: -2000211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 373379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/13 (b) -9 (c) -1\/2 (d) -5 (e) 81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 5*l + 33005 - 33045, -t - 4*l + 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -24. Let q = 19 + n. Solve 3*v - q = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*d. Let z be 6\/27 - 16\/(-9). Suppose 4*n = -z*j - n + 19, 7 = 2*j + n. Solve d = -y + 7 - j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 + 25*d**2 + 90*d + 115. Determine h(-9).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (279*8\/72)\/((-2)\/(-150)). What is the highest common factor of y and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/19 - 8*a**3\/19 - 6*a**2\/19 + 36*a\/19.\nAnswer: 2*a*(a - 3)**2*(a + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 1855.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 17572424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33133312 (base 4) in base 6?\nAnswer: 1205514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -6*k - 4*f + 24, 0 = k + 5*f - 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 6*s**3 - 95*s**2\/2 + 24. What is the second derivative of a(f) wrt f?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88724.78 weeks in seconds?\nAnswer: 53660746944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 9:02 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54651, -53789, -52927, -52065, -51203?\nAnswer: -50341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 - 1.2. Let u = 0.011 + g. What is u rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1256*u - 1238*u - 53 = -17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h - 24. Let l(r) = -5*r**3 - r**2 - 2*r - 1. Let d be l(-1). Let u(x) = x + 5. Let c(p) = -p + 40. Let b be c(16). Determine b*u(q) + d*g(q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Differentiate t + b**3 + 2 + 1 with respect to b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 94*z + 205. Does 24 divide o(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + (12 - -16) + -5 - 6) + (1 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -84*x + 38219. Is a(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-120)\/(-12)*(-1)\/(-2). Solve p + 0 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4444.13 rounded to the nearest 10?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -440 (base 6) to base 9.\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -24 - (-17 - -16)) + -20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 68 + (4 - 2)*-1. Let b be (-382)\/(-5) - (-4 + c\/15). Do b and 76 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 58313, 58315, 58317?\n\"Answer: 2*s + 58311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-20 + 39) - -18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1 + (0 + 1 - 2)*(3 - 1 - 1) + 1 + 2 - 1)*(-272 + 272 - 223*p)*(5 - 5 + p).\nAnswer: -669*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 1. Let h be 36\/12*4\/3. Let c(b) = b + 2. Determine h*q(j) + 3*c(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3 = -12. Let o be -1 - ((-4)\/1 + b). Let m = o + 7. Calculate the greatest common factor of m and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 6*x + 4. Let l be f(6). Let m = l - -5. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -43, -149, -20.94?\nAnswer: -20.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3, p: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12034474.\nAnswer: 2, 23, 261619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0403 - 523.0403. Let s = h + 521.055. Round s to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 108 + 191 = -14*s - 62 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -242\/15 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3628308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83*p**4 + 85*p**3 - 2*p**2.\nAnswer: -p**2*(p - 1)*(83*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4850280 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(3 - 1) + -3. Which is smaller: -6\/17 or q?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-33)\/(-6) + -5 + 0. Let j(a) be the first derivative of 0*a - 1\/3*a**3 + t*a**2 + 1. Factor j(n).\nAnswer: -n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Let f(g) = -g**2. Let d(l) = l**3 - 18*l + 13. Let r(m) = -d(m) - 6*f(m). Let c be r(8). Solve -2*j + c + 3 = a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*r + 88. Suppose -85030 = -678*i - 6235 - 6927. Calculate the remainder when i is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 13*l**2 - 9*l - 1. Let r be v(12). Let m be 565\/r + 1\/(-7). Solve p - m = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133070 plus -0.4?\nAnswer: -133070.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(2*b + b - 4*b) + b + b + 0*b + b + 0 + 0 - 11*b - 12*b - 1 - 22*b)*(6*b - 2*b + 13*b).\nAnswer: -680*b**2 - 17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-45)\/18))\/((-3)\/(-90))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q + 5 = 0, 0 = 2*h - 2*q - 14. Find the third derivative of x**h - 56*x**3 + x**2 + x**5 + 56*x**3 wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 116303 or 13?\nAnswer: 116303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 13*s**2\/2 + 383*s + 71. Calculate the remainder when i(-22) is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-25) - (3 - 1)*17\/34. What is the third smallest value in 1\/2, -1\/3, s, -10, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5530771294 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 ddh when three letters picked without replacement from dddhdheeddddededddde?\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -98 + 103. Suppose -a*f - 115902 = -3*h, 10*h - f + 115884 = 13*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 1. Let f be c(-6). Let y = -3 - f. Let d(i) = -i**2 - 7*i. Let u be d(-6). Solve r + z = -2, y*z + z = -u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.6 - -3.86. Let w = 0.76 - c. Put -0.4, 4, w in ascending order.\nAnswer: -0.4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, f: 7}. Give prob of picking 2 f and 2 z.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44\/3 in 1\/14, 6\/11, -0.3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 1. Let k be b(2). Let t be 16\/9 + 4\/18. What is the greatest common divisor of t and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:32 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clc when three letters picked without replacement from {l: 5, c: 7, i: 7}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -2 + (16 - (-17 - (-6 + -17)))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.138 - -354614329.\nAnswer: 354614328.862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Suppose 3*x - 5 - 1 = 0. What is the smallest common multiple of x and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820\/(-82)*5\/30*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01490784 rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -185*b - 57. Let p(w) = w + 1. Let m(i) = 89*i + 27. Let g(z) = m(z) + 2*p(z). Let a(r) = 7*g(r) + 4*o(r). What is the derivative of a(h) wrt h?\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, h: 8}. What is prob of sequence zh?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i + 25 = -38*i + 7*g, -i + 3*g = 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169294882, 169294890, 169294902, 169294918?\nAnswer: 169294938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 5, w: 5, d: 1}. What is prob of picking 1 z, 1 w, and 1 d?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1170982, -1170981, -1170980?\n\"Answer: q - 1170983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 30 = -4*l, -2 = l - 4*h. Let i = l + -3. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669.036 millennia in centuries?\nAnswer: 26690.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5903013783.392 take away 12?\nAnswer: 5903013771.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a factor of 613362880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1867 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -1. Let s(v) = 2*v - 19. Suppose 20 = -6*c + c. Let o(p) = c*m(p) + s(p). Let r be o(5). Is -5 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37025*r**2 - 5*r**3 + 18514*r**2 + 18511*r**2.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {i: 5, r: 7, m: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2794384316 to the power of 1\/2, to the nearest integer?\nAnswer: 52862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2243 + -a530?\nAnswer: -10773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 7*l**2 - 5*l + 20. Let x be a(8). Let c = x - -276. Suppose 3*h - c = -4*t, t + t = 4. Calculate the highest common divisor of h and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and -105 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d = -96*d + 137760. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/10*40\/(-12). Let g(p) be the second derivative of 1\/30*p**5 - 1\/3*p**2 - 1\/9*p**3 + p + 1\/18*p**o + 0. Factor g(d).\nAnswer: 2*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*q = 2*v + 11, -3*v - 5*q = 14. Let g = v + 2. Let o(z) = -11*z - 1. What are the prime factors of o(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 114 + -19 - (-21 - (-14 + 2 - -3)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5*m**3 + 35*m**2 + 35*m + 35. Suppose 562 + 243 = 23*q. Let t be (6\/(-18))\/((-1)\/18). Let z(n) = -n**3 - 6*n**2 - 6*n - 6. What is q*z(a) + t*s(a)?\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 182 + -418. Let o = 235 + y. Which is the smallest value? (a) 2\/5 (b) -1\/7 (c) 0 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40873\/13 + 3141. What is the common denominator of m and 67\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 10, -48 = 5*v - 5*s - 278. Suppose -6*a + 113 = -805. Calculate the highest common factor of v and a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131704249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/12534 and 137\/2469198.\nAnswer: 2469198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97644 is divided by 1525.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11133713 (base 8) to base 6\nAnswer: -123324255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 2)*(5 - 4*a - 5)*(0 - 16 - 1)*(-4*a**3 - a**3 + 2*a**3) as l*a**2 + w*a**4 + o*a**3 + q + k*a and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -555, 934, 2423, 3912?\n\"Answer: 1489*k - 2044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*t. Let x = 0.53 + 1207.47. Let k = x + -1208.5. Which is the closest to -4? (a) 0.2 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -g - 363, -906 = -5*w + 3*g + g. Suppose x - 139 = -3*d, -x - x + w = 4*d. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2236107290.\nAnswer: 2, 5, 491, 455419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -s + 36, -s + 44 = s - 3*y. What is the highest common divisor of 112 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y + 20 = 0. Let q(k) be the first derivative of -k**4\/4 - 10*k**3\/3 - 2*k**2 - 12*k - 1. Is q(y) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 27, 37, 51, 69, 91, 117?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-6)\/144 + (1032\/(-320))\/(-3)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -566441 or -566442?\nAnswer: -566441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c + 5*c + 6 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4.05. Let n = k + 0.55. Sort 3, n, -2 in decreasing order.\nAnswer: 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 7 = -w - 1, 0 = 3*r + 4*w + 31 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1920 and 1005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(2 + 10\/(-3)). Let u(j) = -2*j**3 - 5*j**2 + 4*j + 4. Let s be u(n). What is the greatest common factor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7590 and 9108.\nAnswer: 45540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 6, 1, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + 3 - 19\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -200 + 300. Let b = q - 110. Let o = -22 + 12. Is b greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1586*j + 642 = -1479*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 343660079 to the power of 1\/2, to the nearest integer?\nAnswer: 18538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 45 = -5*u + 5, -5*v + u = -30. Suppose 0 = -v*p - 37 + 127. Calculate the least common multiple of p and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130591668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16008 and 9483?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27818248681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-3 + 0 + 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) 11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 139688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69979*a**2 + 617285*a?\nAnswer: 139958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*k - 27*k + 22442*k**4 + 101*k)*((1 + 0 - 3)*(-4 - k + 4) - k - 2*k + 2*k).\nAnswer: 22442*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/145 + 48\/29. Suppose -4\/5*n**3 + g*n**2 + 2\/5*n**5 - 4\/5 + 2\/5*n - 4\/5*n**4 = 0. What is n?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, e: 9, k: 1, o: 1}. Give prob of picking 1 k and 1 a.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*d**3*u**2 + 391*b**2*d*u**2 - 2*b*d**3*u - 64*b*d**2*u**2 - 5*d*u**2 wrt b.\nAnswer: -2*d**3*u**2 + 782*d*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 3*y + 8. What is the remainder when 53 is divided by c(-4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 133 + 2*x**2 - 126 to w*x**2 + o + r*x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhhgllgyyghgnghhnhg. Give prob of picking 4 h.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r - 9. Let n(p) = 1 - 2875*p + 718*p + 721*p + 717*p + 718*p. Give h(s) + 6*n(s).\nAnswer: 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.01 + -0.01. Let q = 4.0006 - r. Round q to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-688)\/(-88)) + 126\/33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/142 - (-9225)\/17466.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -12*y - 1. Determine b(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/(-81)*4\/(80\/18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -90\/8071?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*k - 27*k**2 - 13*k**2 + 60*k**2 - 14*k**2 - 6 - 15*k**2.\nAnswer: -9*k**2 - 54*k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8014499\/70 or -114492?\nAnswer: -8014499\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 150958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -541, -543, -547, -553, -561?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 39 = 156. Suppose 17795 = r - 4*y - y, r + p*y = 17775. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24127 is divided by 208?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -3*l - 6. Suppose -n = -3*g - 10, n + 6*g - 3*g = -l. Let h(b) = -3 + 3*b - 4*b - b**2 + n + 0. Calculate h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. What is the nearest to 12 in 0.5, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + 20 + -17 - (-2 + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 + 3269*c + 13136. Give w(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 + 7*g + 10. Calculate the remainder when 19 is divided by y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (325*x - 131*x - 143*x)*(-1 + 2 + 0) to u + d*x and give d.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7143404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -317, -455, -461, -335, -77?\n\"Answer: 66*m**2 - 336*m - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5209 and 134034.\nAnswer: 139243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1457989092.\nAnswer: 2, 3, 7, 19, 101503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.119\nAnswer: 0.0595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 52833*q - 14*q**2 - 1 + 1 - 52828*q as u*q + j + c*q**2 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-129)\/(-172) + (-38)\/8 - -8. Solve 14 = -v - 2*t + d, -v + t = -5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65864 = -q - j - 287863, 0 = 2*j - 2. What is q rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556 - 124 = 33*l - 52*l + 29*l for l.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 471644 or 5188100\/11?\nAnswer: 471644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 125497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690001?\nAnswer: 13, 53077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -5*y - 9704 - 5420, g = 5*y + 7567. Which is smaller: g or 7556?\nAnswer: 7556","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11407526981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -168*x**4 + 303?\nAnswer: -672*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 893190000 to the nearest one million.\nAnswer: 893000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**5\/270 + z**4\/36 + 4*z**3\/27 + 7*z**2. Determine n, given that q(n) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -5*h**2 + 0*h + 1\/210*h**7 + 0*h**6 + 0*h**4 + 0 + 0*h**5 + 5\/2*h**3. Find the first derivative of y(d) wrt d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -4*g, -x - 2*g + 9 = 1. Solve x*h**2 - 19*h**2 + 12 - 3*h**3 + 4*h**2 = 0 for h.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25 - -3f6?\nAnswer: 41b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 4*l - 1. Let h be y(-3). Let i be h*1 + -3 + 3. Calculate the greatest common divisor of i and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 5*z - 2*z)*(230*z**2 - 30*z**2 + 4*z**3 - 3*z**3).\nAnswer: z**4 + 200*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -415?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/7 - (-3)\/1. Suppose 0 = x*o - 194 + 2. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26779 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Suppose 0 = 2*j + 3 - 5. Let t(u) = -u**2 - u. Let o(h) = j*t(h) + 4*b(h). Suppose o(q) = 0. Calculate q.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 13153232.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14.323 * 0.031\nAnswer: 0.444013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47948*c**3 - 17407 wrt c?\nAnswer: -143844*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -35*s**3 - 5*s**2 - 11*s - 9. Is u(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6978 = 421*l - 417*l + 6*q, l + 3*q - 1740 = 0. What is the greatest common divisor of 1431 and l?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(12\/8))\/(-4). Which is the third biggest value? (a) 0.4 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17 + 7)*(-6)\/10. Differentiate 0*s**2 - 124 - 68 - 28*s**2 - 2*s + 69 - a*s**2 with respect to s.\nAnswer: -68*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 801 + -456. List the prime factors of i.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than 229.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*w = -3*b - 41*w + 17, -19 = -3*b - 4*w. Suppose h - b*o + 14 = -1, 0 = h - 4*o + 12. Solve -2*p + 8 = m, -4*m + m + 5*p - 31 = h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -32 (b) -1.3652 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/24*(-22)\/(-33)*6?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1 (c) 2\/1369\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.1, 0.8, 159928?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/42*(-14)\/(-3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56403 - 2400 = -1153*v for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 <= -8895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3578*a - 3600*a = 144, x - 3*a - 16 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1 + (-6 + 0 + 5)*(3 - 5 + 1))*(-5 - 3 + 0)*(0*n - 6*n + n)*(-5 - 2 + 4) in the form u*n + h and give u.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -19. Calculate the remainder when 35 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 17*k - 3. Let b(d) = -d**2 - 3*d + 1. Let z be b(k). Suppose -n + z = -3*p, p + 2 = 2*p. What is the lowest common multiple of n and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 218024886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:35 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294 and 504?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 + 128. Let f = w - 4. What is f rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 607344 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6370 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 42881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 1181 = 5*i, 5*i + 19*k - 18*k = 1193. Let j(n) = -n**3 + 7*n**2 + 15*n + 12. Let u be j(8). What is the highest common factor of u and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 3) in base 16?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1010011111000010111100001?\nAnswer: -1010011111000010111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + l. Let p(o) = -3*o**3 + 2*o**2 - 2*o + 5. Let n(t) = p(t) + 5*r(t). Let v(q) be the first derivative of n(q). Factor v(x).\nAnswer: -3*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvg when three letters picked without replacement from {v: 8, l: 2, g: 2, r: 2, u: 2, k: 1}.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.33 and 96607.216687.\nAnswer: 96607.546687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -7.3\nAnswer: 0.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -7 (c) -1 (d) -59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 - 4*f - 4. Give b(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36103.\nAnswer: 79, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 + 0.3. Let p = -773.5 + 773. Sort q, 5, 2\/7, p in ascending order.\nAnswer: q, p, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*f + 10 = 0, y + 4*f + 16 = -3*y. Let w(m) = 3 + 2400001*m**3 - 2 + 0. Let j be w(y). Round j to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 20*m - 16. Let p be j(-19). Let i = 7 + -11. Sort i, 1, p in increasing order.\nAnswer: i, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/5 + 3436*r**3\/5 + 1390994*r**2\/5 - 72815712*r\/5 + 898201728\/5.\nAnswer: 2*(r - 24)**2*(r + 883)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.48 - 8.48. Let z = f + 6. Let j = -0.03 + 5.03. Which is the second smallest value? (a) j (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*u**4 + 4 + 32 + 10*u**4 - 2*u**4 + 2*u**2 wrt u?\nAnswer: 16*u**3 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*c + 242*c = 487*c - 18. Solve 0 = -2*w, -3*p + 14 = -c*w + 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 49*r**2 - 52*r + 194. Let m be a(48). Suppose q = -4*z + 3 + 19, 52 = 3*q - m*z. What is the remainder when 195 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 4, 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4677 and 261?\nAnswer: 406899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11150 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**4 - k**3 - k**2 + k + 1. Let q(s) = 257*s**4 - s**3 + 7*s + 1. Let p(b) = d(b) - q(b). What is the third derivative of p(w) wrt w?\nAnswer: -6216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 14*x - 7. Let z(k) = 17*k + 1. Let i(v) = 14*v. Let y(a) = -4*i(a) + 3*z(a). Let s(f) = -3*t(f) - 8*y(f). Let c(r) = 2*r. Determine s(c(o)).\nAnswer: -4*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7707238 or 7707222?\nAnswer: 7707238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 22*z**2 - 12*z + 4. Does 2 divide g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10535159 or 10535167?\nAnswer: 10535167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 5*z - 5, -115*x + 112*x + 5*z = 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:04 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2*4) + (-43992)\/(-846). What is the highest common factor of f and 1110?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023232548.\nAnswer: 2, 3, 13, 233, 28151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-5 - (5 - 10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -1, -25, -57?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*z + 1532*z - 52218 = 16102 for z.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lqgtqkqqlttktbl. Give prob of sequence gk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 2*p**2 + 259*p + 66. Let k be g(-17). Suppose 0 = -n - 0*n. Let q = 1\/22 + -59\/330. Sort q, k, n, -1\/4.\nAnswer: k, -1\/4, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 3. Let r be l(-4). Suppose -5*a + 109 + 162 = j, 0 = -a - j + 51. Calculate the greatest common factor of r and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) 4 (b) -6 (c) 3\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32132 is divided by 8029?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 46 (b) 0 (c) 19\/7 (d) -4 (e) -0.08 (f) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546*s - 3716 + 3716.\nAnswer: 546*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6887800 rounded to the nearest 100000?\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5, 9773 = b + p + 2037. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -290.202756 to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1728858875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -509d - -1?\nAnswer: -509c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/15 + 356*v\/5 + 5742.\nAnswer: 2*(v + 99)*(v + 435)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s - 11. Suppose 4*d = -0 + 4. Let h(i) = -i**2 + i. Let f be h(d). What is m(f)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**4 - 241620*n**3 + 7298977528*n**2 - 87549800076*n - 94849019226 = 0.\nAnswer: -1, 13, 60399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 + p + 17. Let l be x(0). Let b = l - 13. Suppose j = 3*j. Put -2, j, b in ascending order.\nAnswer: -2, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.68965138 to 2 dps.\nAnswer: -1.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.006 (c) 0 (d) -5 (e) 2 (f) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(6\/3) + 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(90\/(-32)) + 118\/531.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17217580)\/133456 + (-1)\/(-76).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8815279 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 157427909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -z - 10, -3*z - 3 - 9 = 0. Let c = -306 + 306. Solve y - q = 0, -3*y + 6 = -c*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**1*g)*g*g)**48\/((g\/(g*g**(2\/3)))\/(g*(g*g\/g**(3\/7)*g)\/g*g)) assuming g is positive.\nAnswer: g**(1097\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -25*x - 131. Let n be a(-6). Let r be (10\/6)\/((-3)\/(-621)). Let v be 2\/(-4) - r\/(-6). What is the highest common factor of n and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*z + 7 = 2*z, 0 = 2*j - 4*z. Suppose 4*w + 4*r + 172 = 8*w, -3*w + 5*r + 129 = 0. Calculate the remainder when w is divided by (8 - 25)*(j + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*l + 11*l**2 - 239*l - 21*l + 286*l.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1191, -2406, -3637, -4884, -6147, -7426?\n\"Answer: -8*t**2 - 1191*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 26. Let f(d) = d + 7. Let s be f(t). Let b be (-1 - s)*(-2 + 2). Is -2 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 2*h**2 - h**2 + (4*h - h - 4*h)*(-2*h + 0 + 0) - 11 + 39*h**2 - 23210*h + 23210*h + (-h - 2*h + 0*h)*(-h + 4*h - 4*h).\nAnswer: 46*h**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -5. Suppose h + 21 = -3*g. What is the units digit of g\/(1 + 2*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4*y**2 - 4)*(-y - 1 + 1) + 15 - 72 + 22 + 6*y**3 + y.\nAnswer: 10*y**3 + y - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/69 and 10\/2919.\nAnswer: 67137","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*r - 5 = 0, 4*r = -2*x + 6 + 4. Let i be (-18)\/(-15)*(-10)\/(-4). Suppose 2 = 3*o + x*b, -2*o + 4*b - 3 = -i*o. Sort o, 1, -2 in descending order.\nAnswer: 1, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378102 is divided by 78?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f - 2*u + 182 = 0, 2*f = u + 85. Suppose f = -22*y + 26*y. Let i(t) = 2*t + 5. Let a(r) = -4*r - 9. Give y*i(k) + 6*a(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1432*p - 8. Let f be m(6). Round f to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -2*2\/(-4). Suppose 9*t - 73*t + 832 = 0. Put -2, t, o in descending order.\nAnswer: t, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 468 by -9.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11022 (base 3) in base 10?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15440817 + -22?\nAnswer: -21.84559183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5\/2 + (-340)\/200\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 36. Let m(o) = 21*o + 16. Suppose a - 2 - 3 = 0. Let t be m(a). What is the greatest common factor of b and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -31?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 20603?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -2\/3, 0.3, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106587509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32289 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 prob of sequence hbb when three letters picked without replacement from {b: 8, h: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b - 3. Let d(s) be the third derivative of -11*s**4\/12 + 5*s**3\/6 - 76*s**2. Let n(a) = 3*d(a) + 5*j(a). Let v(y) = 11*y. What is n(v(g))?\nAnswer: -121*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d**3 - 8*d**3 + 4*d**2 - 6*d**3 in the form n*d**3 + k + l*d + b*d**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulixxibu. What is prob of sequence xb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2162*q + 2200*q = 8340 - 1500. Suppose r + 0*r - 45 = 0. What is the greatest common divisor of r and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 43. Suppose o + 4*w = m, 6*o - 132 = o - 4*w. Calculate the remainder when o is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 316883\/143 + -2216. Find the common denominator of v and 9\/4.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuppzpzsdsuzpz. What is prob of sequence sdcz?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*j + 23, -m + 1856 = 4*j + 1880 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*k + 6812 + 743 = -38*k + 797 for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/312 and -61\/702684.\nAnswer: 18269784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224013 divided by -224013.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 18*k - 1. Let a(o) be the third derivative of -o**4\/8 + 3*o**2 - 26*o. Calculate a(w(f)).\nAnswer: -54*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16239*-0.5.\nAnswer: -8119.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -154, -331, -578, -895, -1282, -1739?\nAnswer: -2266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643 less than -1269990079?\nAnswer: -1269988436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676381842?\nAnswer: 2, 3, 103, 109, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10139 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 278233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 201 + -320. Is r\/(-2)*76\/133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -26*j - 19. Let l(z) = -14*z - 12. What is 3*h(x) - 5*l(x)?\nAnswer: -8*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1111111?\nAnswer: -1111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -5\/7*s**2 + 4\/7*s - 2\/3*s**3 + 2. Let w(k) = 0. What is k?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3231499 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 1\/20*g**5 - 2*g + 3\/8*g**4 - 3*g**2 + 0 + g**3. Let m(d) be the first derivative of k(d). Factor m(w).\nAnswer: 3*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 91, 199, 345, 529, 751, 1011?\nAnswer: 1309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-30)*m)\/m))\/m**(-39) assuming m is positive.\nAnswer: m**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 11 - 8*c**2 - 9*c**2 + 3*c**2 + 17*c. Let r be j(13). Let n = r + -4. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35806110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 13*i**2 + 9. Give c(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:34 AM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -1\/5, -4\/83, 130, -76\/7 in decreasing order.\nAnswer: 130, 5\/3, -4\/83, -1\/5, -76\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 25544.\nAnswer: 25543.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + 4 + 0 + 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*i - 13*i - 208 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541910 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 6. What is j(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 22. Calculate the least common multiple of 2 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rarrarerrererrrrupe. Give prob of sequence upu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -2, 0.2, 557, -21, 5 in descending order.\nAnswer: 557, 11, 5, 0.2, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 301, -0.3, -3.77?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -12 - (-13 + 2). Suppose d*s = -7 + 35. What is the lowest common multiple of 8 and 168\/18 + s\/6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k + 90. Let t be f(-19). Let z be (t\/(-3))\/(4 - (-236)\/(-60)). What is the greatest common factor of z and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*g - 4*x, 12 = -g - 4*x + 4. What is the smallest common multiple of g and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14916 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 32995*-0.11\nAnswer: -3629.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*u**2 + 19*u - 51*u**2 - 19*u.\nAnswer: 171*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h + 18 = 3*l, 2*l - 15 = -3*h. Suppose -238 = h*j - 931. Suppose a + 2*a - j = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 + 16 + 18 + 2*q)*(-3*q**2 - 2*q**2 + q**3 + 6*q**2) to the form p*q**4 + l*q + w + i*q**3 + x*q**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15214.7 - 0.15956.\nAnswer: 15214.54044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 7:06 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**7\/1260 + f**5\/60 - f**4\/24 + f**2. Let r(n) be the second derivative of y(n). Differentiate r(h) wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*f**2 - 29*f**2 - 16*f**2 - 21*f**2 + 62*f**2 to the form m*f + t + c*f**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + (-28)\/(21168\/(-6138)))*-3*2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**3 + 188*v**2 + 72*v + 116. Give r(38).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - -3. Suppose -3*j - n = 3, 0 = -2*p - 3*j - 21. Let m be p\/9 - (-400)\/12. What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 - -98. Let u be (-102)\/(-4) + 1\/2. Solve -y + 5*y + 36 = 4*w, -2*y - u = -s*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*q**2 + 132*q**2 + 46*q**2.\nAnswer: 258*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 3:42 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 84663 rounded to the nearest 1000?\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3*l*q - 18*g**3*l + 553*g**3*q - 2*g**3 - 662*g**2*l*q - 2*g*l*q - 3*g*l + 3*l + 4*q wrt g.\nAnswer: -12*l*q - 108*l + 3318*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 11011010000100000?\nAnswer: 11011010000100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2824370 to the nearest one hundred thousand.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/14 and 101\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(3\/1) + -2. Let w(p) = -p**2 + p + 2. Let n be w(t). Suppose -2*h = 4, -4*f - 6*h + 20 = -n*h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, p: 1, l: 6, b: 1, w: 11}. Give prob of picking 1 b and 2 w.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 929.2897g to nanograms.\nAnswer: 929289700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4253241 is divided by 1590.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 9:02 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7590 divided by -345\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 3*t**2 - 3*t**2)*(4 - 2 + 0)*(17 - 4 + 12).\nAnswer: -100*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - -169. Let k = -91 + q. List the prime factors of k.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/1)\/(-22)*5\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/2)\/(32\/1109696). Let x = s + -64844. What is x rounded to the nearest one thousand?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 2*w - 1. Let s be x(-1). Suppose 0 = -s*q + 7*q - 355. Suppose -5*r - 3*n = -q, 0 = 3*n + 11 - 2. 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 the remainder when 278 is divided by 256?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2876*j - 2. Let a(t) = t**2. Determine a(w(o)).\nAnswer: 8271376*o**2 + 11504*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*z + 4*z - z**3 + 21*z + 2*z**4 in the form m*z**4 + i*z**2 + t*z + a + f*z**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2. Suppose -2*h = -4*h + 2*n + 16, -4*n = 4*h. Let o(z) = -2*z**2 - h*z + 0*z + 4*z. Give o(p(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24443, 4 in decreasing order.\nAnswer: 24443, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 36450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 900863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -964065\/1967 or -490?\nAnswer: -490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (g**2 + g**2 - g**2)*(-39*g + 140*g - 5 + 8) in the form k*g**2 + t*g**3 + w + i*g and give t.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 122, 1309, 2496, 3683, 4870, 6057?\n\"Answer: 1187*b - 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + sqrt(245) + 1 + -2 + sqrt(245) - -2*(sqrt(245) + (sqrt(245) + 2 - sqrt(245))))**2*6.\nAnswer: 1260*sqrt(5) + 36804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 599, 594, 577, 542, 483, 394?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -410 in 4, -2\/3, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 10:15 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4499?\nAnswer: 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/760 and 27\/760.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 4*s - s - 41, -4*k - 4*s = -36. Which is smaller: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t - 7. Let y(q) = 21*q - 29. Let i(z) = 9*m(z) - 2*y(z). Find the first derivative of i(s) wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7439.18ms to microseconds.\nAnswer: 7439180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 216*m**2\/5 - 162*m\/5 + 6.\nAnswer: 6*(3*m - 1)*(12*m - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -2a31?\nAnswer: -2a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 60 = -57*k + 52*k + 190, 3*o - 195 = -54*k for o.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1054148, 2108298, 3162448, 4216598?\nAnswer: 5270748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 7:46 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -14, -5, -67, 8 in descending order.\nAnswer: 8, 5, -1, -5, -14, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 312052351 (base 6) in base 4?\nAnswer: 110223002023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffkffkfff. Give prob of picking 3 f.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1651 divide 189406022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51761 (base 8) to base 10.\nAnswer: -21489","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2405 - -3?\nAnswer: -2402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 25 = -20. Suppose -7*u + 9*u = -3*j + 1826, 4547 = r*u + 3*j. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128466 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -57*i**3 + 2*i**2 + 2*i - 2. Let l(f) = -286*f**3 + 10*f**2 + 11*f - 11. Determine 2*l(d) - 11*p(d).\nAnswer: 55*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 - 0.29. Let l = 6365.29988 + -6365. Let r = z + l. Round r to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 902 and 674.\nAnswer: 607948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 1 + 1. Let g(d) = -d + 8. Calculate the remainder when (t - 5)\/(3\/(-6)) is divided by g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(-v + 2 - 2) + 0*v + 2*v - v)*(-3800*v**3 + 5140*v**3 + 5183*v**3).\nAnswer: 19569*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -220, -0.4 in descending order.\nAnswer: -0.4, -7, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((748\/(-8))\/(-11))\/(31\/((-2170)\/(-105))).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1883 rounded to 2 dps?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 134931682789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b - 28. Let s(x) = 5*x + 28. Determine -4*p(o) - 3*s(o).\nAnswer: o + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + -3 + -484 + 494?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 169360, 169274, 169188, 169102, 169016?\n\"Answer: -86*a + 169446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14299 + -14294. Solve 14*m = 3*m - w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 11*k**2 - k + 1. Is g(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 2, -4.\nAnswer: -4, 2, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/127 - 111\/2032. Calculate the common denominator of o and -61\/76.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 53?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v + 2. Let o(p) = p**3 + 8*p**2 + 3*p + 20. Let d be o(-8). Let g(m) = 6*m + 3. What is d*z(x) + 3*g(x)?\nAnswer: -6*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 2. Let i(j) = -2. What is 2*i(d) + 2*y(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 22. Let q = 3257\/15 - 217. Which is the closest to n? (a) -2 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3 + 30*n**2 + 171*n + 140 = 0.\nAnswer: -4, -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 24. Let s = 42 - v. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 4*j. Suppose -4*u = -p + j*p + 1416, -4*u = 3*p + 2132. Let l = p - -1009. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/10)\/((-170)\/(-850))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 13*g - 54, -g - 7 = -323*j + 321*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 2700 = -25*k. Suppose 189 + k = 3*b. Let y(t) = -162*t + b*t - 2 + 2. Give y(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*w + 29*w - 90*w + 16 - w**3 in the form m*w**2 + r + o*w + c*w**3 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bybkyykkbfkyy. What is prob of picking 3 k and 1 b?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 172\/342547 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -751, -1680, -2979, -4648, -6687?\nAnswer: -9096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/48 and -81\/147880.\nAnswer: 887280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahppkpkhkppapphpppp. Give prob of picking 1 k and 1 a.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((166\/(-581))\/(216\/294))\/(((-9)\/60)\/3)?\nAnswer: 70\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 17*k - 54. Let r be b(-4). Put -3, r, 4, -10 in decreasing order.\nAnswer: 4, r, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (23 - 8 - 16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/2058 and 67\/24108.\nAnswer: 168756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 - (-10 + 11 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3548798.899866 + -3548711.9. Let f = 87 - u. What is f rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*n + 31*n + 25*n - 7*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 12 = 8, 1 = 3*j - 2*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -50. Let v = -2.9 - -10.4. Let f = v + c. Put -4, -4\/3, f in ascending order.\nAnswer: -4, -4\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) 9 (b) -0.2 (c) -170\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, -3, 2, -9, -111 in decreasing order.\nAnswer: 104, 2, -3, -9, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/((-1)\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0183 + -0.0583. Which is the biggest value? (a) o (b) -2 (c) 5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/s**2)**21\/((s**(-8\/7)\/s)\/(s\/(s\/s**(-1\/7))))**(-22) assuming s is positive.\nAnswer: s**(-233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/7*t**2 + 16\/7 - 1\/7*t**3 - 20\/7*t = 0. What is t?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 662 - 658. Suppose k = 5*y - 3399, d*k = -19*y + 16*y + 2044. What are the prime factors of y?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*t - 326 + 155 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*u**3 - 296*u**2 + 296*u**2.\nAnswer: -125*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/1 - (-304)\/20 - (-56)\/(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -460*m - 28, -2*m - 5*n + n + 10 - 8 = 30 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21772 divided by 361?\nAnswer: 21772\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 103956673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.295 and 48586.\nAnswer: 48586.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-19)*k))\/k**1*k**(-5\/2)\/(k\/k**2) assuming k is positive.\nAnswer: k**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 7*a + 7. Let j(n) be the third derivative of -n**5\/30 - n**4\/4 - n**3 + 43*n**2. Determine -4*c(w) - 5*j(w).\nAnswer: -2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -120, -1, -2, -4 in decreasing order.\nAnswer: -1, -2, -4, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1832344 rounded to 4 dps?\nAnswer: -0.1832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 207945?\nAnswer: 1455615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 6*f**2 + 3*f. Let u be l(5). Calculate the greatest common factor of 23 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(((-6)\/78)\/(((-2)\/(18\/9))\/(-1)))\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 571 = -599. Calculate the greatest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Suppose 340 = 5*g - 4*x, l = -5*g - x + 207 + 108. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, u: 7, c: 5}. What is prob of picking 2 g?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-3 - 114\/4). Let x = l - -30. Let k = -0.4 - 4.6. Sort k, x, -4 in descending order.\nAnswer: x, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006634453 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11456352 (base 7) to base 16\nAnswer: f9acb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 18 = 2*t. Is 3\/380 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34255434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 340 divided by -68\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53053 - -4456505\/84. What is the common denominator of -133\/372 and m?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 66\/(-15) + 1971\/15. Suppose a*w = 137*w - 2592. Is 36 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -2220?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10445562 divided by -1160618.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31276*b + 31178*b + 2073 - 2073 - 62293*b.\nAnswer: 161*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 22150944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pnpjjnnpjjpjj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1110.235 - -15\nAnswer: -1095.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28694800 - y**3 - 28694800.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/462828 + 1133697431\/16198980. Let p = c + -548\/7. Find the common denominator of p and -1\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027576 to seven dps.\nAnswer: -0.0000276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+-0.08516\nAnswer: 0.41484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1228 = -13*j - 1280 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**3 + 16*x**2 - 158*x + 1312. What is d(7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 10:20 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 178217 = 55*u + 12157. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**3\/3 - 7*d**2 + d + 2. Let y be t(-10). Solve -3*o + 11 = -k, 5*o - 2*k + 6*k - y = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -11. Let p(w) = w**3 - 6*w**2 - 8*w + 5. Let a be p(m). Let q = 6 - 10. Sort 0, q, a.\nAnswer: q, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -692927.\nAnswer: 69292.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 180 = -0*q. Let r(j) = -16*j - 8*j**2 - 7*j**3 - 25*j - 25*j + q*j. Let m(k) = 20*k**3 + 23*k**2 + 17*k. Determine -6*m(y) - 17*r(y).\nAnswer: -y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(8\/(-20)) + 0)*-1. Let w(g) = -g**2. Let l(n) = -3*n**2 + 4*n - 2. Let q(y) = -l(y) + 4*w(y). Give q(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1572 is divided by 1461?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*w + 513692 + 50088 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26450 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5507, -11013, -16519, -22025, -27531, -33037?\nAnswer: -38543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 637788, 636879, 635970, 635061, 634152, 633243?\nAnswer: 632334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23267.474 rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36858455673 + 1206966989577907\/32746. Let y be (1 - 0) + (-2333)\/2339. Let b = l + y. Calculate the common denominator of b and 19\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millisecond in microseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 254423 (base 7) in base 8?\nAnswer: 134144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-1) + (66314 - -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -40 (b) 2 (c) -235.54 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1 (c) 79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -40. Suppose i - 45 = -k. Does 10 divide ((3*5)\/3)\/(3\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3837 - 3832. Solve 1 + 1 = y*t + 2*q, -4*q = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -5 - (-15 + -53 + 168)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 10, 47*f + r + 5 = 52*f. Factor -2\/15*j**f - 4\/15*j - 2\/15.\nAnswer: -2*(j + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6132149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 17, -9, -4 in ascending order.\nAnswer: -11, -9, -4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -165 (b) -5 (c) -1\/2 (d) 2 (e) 0.5 (f) 25 (g) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 14*r + 1. Let w(y) = 13*y + 1. What is 3*v(j) - 4*w(j)?\nAnswer: -10*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-807)\/269*1\/(-3)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2656*a + 4*r - 7 = -2657*a, 12 = 5*a - 3*r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000083629385 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -3.4. Suppose 0 = j - 4*j + 12. What is the third smallest value in j, -0.3, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. What is l(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d - 2*d + 2*d)*(-349*d**2 - 1860*d**2 - 1 + 272*d**2) as o + a*d + r*d**3 + w*d**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 12*c**2 + 7*c + 75. Let s be z(13). Let i(x) be the third derivative of x**5\/60 + x**4\/12 + x**3\/3 + 3*x**2. Give i(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 6*g**3 - 2*g**3 + 11*g**3 - 3*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 7:11 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.64648754 to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**2 - 1. Let j be 4\/(-12)*-1*39. Suppose -5*b - j + 33 = 0. Is s(b) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3758.\nAnswer: 2, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1.3 (b) 0.03 (c) 19 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) - sqrt(187)*-2))\/sqrt(11) + sqrt(17) + 5.\nAnswer: -sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19105889 divided by -1736899?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q**3 + 2*q**2 + 3*q + 4. Let k(j) = 4*j**3 + j**2 + 2*j + 3. What is -3*k(w) + 2*m(w)?\nAnswer: -2*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 - 10 + 5 + 0*h**2. Let w be z(3). Let y = -19 + w. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**13\/r**(-1\/3))\/(((r*r\/((r*r**(-2\/3))\/r*r)*r)\/r)\/((r*r\/(r**2\/r))\/r)) assuming r is positive.\nAnswer: r**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -466641, -933282, -1399923?\n\"Answer: -466641*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**3 - 3 + 4*a + 2*a**2 + 3. Let b(p) be the third derivative of p**6\/60 + p**5\/30 + p**4\/8 + 3*p**2 + 1241. Calculate -4*b(c) + 3*l(c).\nAnswer: c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 0.28, 1, -9, 274\/5?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 a when four letters picked without replacement from {o: 7, z: 6, a: 5, k: 1}.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, -11, 3971 in descending order.\nAnswer: 3971, -11, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 331\/4, 1\/2, 5.9?\nAnswer: 331\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.86 + 3.86. Put -3, -15, 0.5, n in ascending order.\nAnswer: -15, -3, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -5*k**3\/6 - 27*k**2\/2 + 82*k - 4. Let t(c) = 2*c + 9. Calculate 8*t(d) + 3*z(d).\nAnswer: d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -21. What is the smallest value in -5, -4, b, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5, 0.3, 5, 3 in descending order.\nAnswer: 5, 3, 0.3, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**21*t)\/t**(-16)*t**(-2\/9)\/(t\/(t\/(t**5*t))*t))**(-29) assuming t is positive.\nAnswer: t**(-8033\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4 + 0 = 0. Let y = -1949\/6292 - -1\/484. Is c < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32\/18 + 35 + -37. Which is the biggest value? (a) 4\/3 (b) s (c) 5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 6 = -p. What is the highest common divisor of p and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4 = -i - 13, 3*i - 3*v = -87. Let q(y) = y**2 + 2*y. Let k be q(5). Let t = i + k. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 0 + -3 + 4. Let a be (1 - (-3)\/i)*1. Put 0.2, -3, a in decreasing order.\nAnswer: 0.2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65\/5169 or -11?\nAnswer: 65\/5169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 4*j**2 + 2*j + 1. Let i be b(4). Let k = i - 4. Suppose -5*x - k*u + 35 = 0, 0*u + 35 = 5*x + u. Solve -5*m + 2 = x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1\/5, -4\/7, 24, 117 in ascending order.\nAnswer: -4\/7, -1\/5, 6, 24, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/(-28)*408\/(-5236).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 39. Put 3, 2, -32, j in decreasing order.\nAnswer: 3, 2, j, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 96447.14 nanometers?\nAnswer: 0.00000009644714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132837, 132669, 132501?\nAnswer: 132333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100 and 653482.\nAnswer: -65348200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 2:58 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1014447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 252, 407, 562, 717, 872?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189699*f = -2*z - 189705*f + 42, -3*z - 5*f + 31 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 6. Let y(p) be the third derivative of p**5\/10 + p**4\/24 + p**3\/3 - 34*p**2 - 4. List the prime factors of y(r).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -339*v - 578. Give k(0).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*t**4 + 276*t**3 + 12*t - 1189400?\nAnswer: 20*t**3 + 828*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**5\/20 - q**4\/3 + q**3\/3 - q. Let u be (4\/(-8)*3)\/((-2)\/4). Suppose 0 = 5*t - 4*t - u. Determine m(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3092*x + 2105655. Give y(-681).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = -4*a + 3*a, 0 = 2*a - 2*r - 6. Suppose a = c - 7. What is the lowest common multiple of c and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0 + 1\/6*j**4 + 2*j**2 - 7*j + j**3. Factor q(i).\nAnswer: 2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - y**2 - 5*y + 5. Determine r(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 40\/13, -0.11, 5, -0.3 in increasing order.\nAnswer: -0.3, -0.11, 40\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58063639573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1311 and 23484?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4198769?\nAnswer: 41, 102409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppjkppppphphpjppppp. Give prob of picking 1 h, 1 p, 1 k, and 1 j.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 79 + -79. Let j = -0.34 - -0.04. Let v be 1 - 1\/2*4. Sort v, j, s in increasing order.\nAnswer: v, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.5, 0.172, 2, 0, 1 in ascending order.\nAnswer: 0, 0.172, 1, 2, 7.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63506, 126933, 190360, 253787?\nAnswer: 317214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 125*u**2 - 4*u - 3. Let f be s(-1). Suppose -3*b - f = 3*b. Is (-3)\/(-21) - 1509\/b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 37*p**2 + 6*p - 21. Is 10 a factor of g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**3\/5 + 802*n**2\/5 + 169993*n\/5 + 3631704\/5 = 0.\nAnswer: -389, -24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 + 1604*j**2\/3 - 1068*j.\nAnswer: -j*(j - 1602)*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/51*1 - (23 - (15 + (-17712)\/(-272)))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 3 + o**3 - 2*o**3 + o + 4. Let l be y(-2). Calculate the smallest common multiple of 12 and 4 + (17 - 4) + l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -274 + 434. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 2*g - 4*g)*(5*g - 2*g + 9*g)*(3718*g + 27*g**3 - 3718*g).\nAnswer: -648*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2781 - 19?\nAnswer: 2764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + -2)*5 + 3 - ((sqrt(1700) - (1 + sqrt(1700)))*-2 - (2 + -1 + sqrt(1700))))**2.\nAnswer: -960*sqrt(17) + 61264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3250047137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + a = -15, -3*a = -7*z + 2*z + 15. Suppose -z*t + 2*i + 83 = 0, -4*i = -t - 0*i + 31. What is the units digit of 40\/(-30)*t\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**2 + 0*i**2 - 8*i**2)*(-3*i + 3*i - 2912*i**2 + 2924*i**2).\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1216) - sqrt(57)\/(1*sqrt(3))) + (sqrt(19) + 4)*-4 + sqrt(19) + (sqrt(19) - sqrt(133)\/(-2*sqrt(7))).\nAnswer: -19 + 11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 401903, 401919, 401943, 401981, 402039, 402123?\n\"Answer: q**3 - 2*q**2 + 15*q + 401889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -33?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c. Let f(g) = 47*g**2 - g. Calculate f(m(o)).\nAnswer: 423*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 1 - 5. Let j = 4 + u. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 677, -226, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206728*h - 413460*h + 206731*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3)*o*o\/(o\/((o\/o**(-12)*o*o*o)\/o))*o assuming o is positive.\nAnswer: o**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1030 + 1054. Solve 3*w + j = 9*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, g: 1, r: 3, d: 3, x: 1, w: 8}. What is prob of picking 1 d, 1 g, and 1 r?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*x - 12, x + 30 = 5*f - 3*x. Solve 2*a = -a + f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83002 + -13?\nAnswer: -83015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48393962.\nAnswer: 2, 139, 174079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*m - 3*u - 14, 2*m + 5*u + 19 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + 15?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 10111011011110011?\nAnswer: 10111011100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 6*q + v - 339, 2*q - v - 165 = 0. Suppose 0 = -u + 5*g + q, 5*g - 3 = 4*g. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -18, -32, -50, -72?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -13*l**3 - l**2 + l + 6. Let k be r(4). Calculate the common denominator of (-14)\/(-35) + k\/(-80) and -25\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 + (11 + 5 - (40 + 7)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1222 + -1230. What is the closest to 1 in h, -1, -4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - j = 33, -52142 + 52022 = -2*z - 3*z - 0*z + 4*j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 + -382229470.2.\nAnswer: -382229588.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 5580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/880 and -169\/3613500?\nAnswer: 14454000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 (base 9) in base 8?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49.8 + -37. Let f = -10.86 + w. Let i = f + 0.06. Which is the third smallest value? (a) i (b) 5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -17*s**9\/252 - 23*s**6\/120 - 437*s**5\/60 - 2673*s**2. Find the third derivative of k(r) wrt r.\nAnswer: -4080*r**3 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 61*c + 335, q = -13*c + 18*c - 47 + 32 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.45 - -0.74. Let m = -50.9 + 48.79. Let q = u - m. What is q rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 + -37. Suppose 4*x - 360 = -3*t, 694 = 5*t - x + 94. Let m = f + t. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*y = 141*y. Let x(k) be the second derivative of 1\/6*k**3 + 0*k**2 + y - k. Let u(m) = -2*m. What is u(x(r))?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -7*o**4\/2 - 2*o**3 - o**2 - 44*o - 354. Find the second derivative of n(l) wrt l.\nAnswer: -84*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4340*v + 100674 + 261949 + 67037 for v.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -236 divided by 4.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3795700 to the nearest ten thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 141 (base 12) to base 15\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 120440*o**3 + 2*o**2 - 8 + 120440*o**3 + 0 - 91*o**4 to p*o**4 + a*o**2 + x + f*o + m*o**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + -1 + 13 + (-35 - 9)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a79 (base 12) to base 14\nAnswer: -7b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 34*l**2 - 7*l + 36*l**2.\nAnswer: 2*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3245 and 18370.\nAnswer: 1083830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1572, -7992, -19302, -35508, -56616, -82632, -113562, -149412?\n\"Answer: -d**3 - 2439*d**2 + 904*d - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322*r**2 + 629*r**2 - 322*r**2.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 774 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5997770284 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 228.2 and -4.\nAnswer: 224.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - n + 3 = 0, -2*v - 7*n + 9 = -4*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 11. Is (-7 - -9) + (-161)\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (65\/(-26))\/(1\/26). Is i equal to -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - -0.35. Let r = -66.6 - -66.934. Let b = r - 1.334. What is the closest to 2\/7 in d, -5, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*a + 166, -178 = -4*a + a + 5*z. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1858*j = 1870*j - 93036. List the prime factors of j.\nAnswer: 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide (-110)\/(4 + (-152)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 75*x - 106. Let w be r(36). Let q be 1\/(-8*w\/(-1760)). Calculate the highest common factor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 134*m**2 - 106*m + 123. Is n(31) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32769 is divided by 32543.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*d = -55, 3*r - 117*d = -120*d - 27 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 890501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/181916 and -15\/2.\nAnswer: 181916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*z + 15. Let w = z + 15. What is the remainder when w is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*n + 42 = 0, -3*j = 2*j - 4*n - 72. Suppose 0*h = 6*h - 24. Let c be 28\/35 - h\/5. Solve c*m = -4*m - j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**5 + 8000*n**4 + 6400000*n**3 + 2560000000*n**2 + 512000000000*n + 40960000000000.\nAnswer: 4*(n + 400)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + 76\/3344*-143 + (-5)\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 24*w**2 - 46*w + 48. Give o(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 215506\/215 >= 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k - 1. Let u(b) = -b**3 - 3*b**2 + 3*b + 3. Let h be u(-4). Let r(x) = 4*x. Let f(g) = h*r(g) + 3*d(g). Let a be f(4). Solve 4 = -5*s - a for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29792.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 4 - -1) + 23\/9. Let q = 209\/45 + o. Let h = -329\/45 + q. Is h greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -69117025.\nAnswer: 2\/69117025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/10 - 13\/20. Let i = 15.5 - 13. Let v = -2.9 + i. Sort w, -0.5, v in descending order.\nAnswer: w, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 11*c - 13. Let r be h(-9). Let v be (-48)\/(-14) + 63\/(-147). Solve 7 = v*f - r for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 236*x = -237*x + 7, -5*q = 2*x + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/6 + 391*x\/6 + 4232\/3.\nAnswer: (x + 23)*(x + 368)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -399368 divided by 399368?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -4*w**5\/5 - 10*w**4 - 116*w**3\/3 - 64*w**2 - 48*w + 103. Factor h(a).\nAnswer: -4*(a + 1)**2*(a + 2)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (13 - (-10 + 16))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + 6 + -7 - -4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -13551311?\nAnswer: 13551325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 + 0.24. Which is the third smallest value? (a) p (b) -1\/2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3568 is divided by 3370.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(187)\/sqrt(11)) + 4)**2.\nAnswer: -10*sqrt(17) + 426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxx. What is prob of picking 2 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/7)\/(-3 - (-137140)\/45713) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/15 + 14*t**2\/15 + 8*t\/5.\nAnswer: 2*t*(t + 3)*(t + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1073*a**2*u**4 + 249*a**2*u + 2*a**2 + 5*a*u**4 - 2*a wrt u.\nAnswer: -12876*a**2*u**2 + 60*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 966*z = 138*z + 4140 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1656580, -6626344, -14909294, -26505424, -41414728, -59637200, -81172834, -106021624?\n\"Answer: t**3 - 1656599*t**2 + 26*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 117*f - 665. Give d(-64).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 4*l**2 - 4*l + 4. Let o be b(5). Let y = o - 7. Let a be (4\/y)\/(2\/8). Calculate the greatest common factor of a and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 + 6735*r**3 - 2219*r**3 - 2258*r**3 - 2254*r**3 + 3*r**2.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 3:33 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**5\/5 + 44*i**4\/5 - 146*i**3\/5 + 20*i**2 = 0.\nAnswer: -25, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from {w: 1, f: 1, a: 2, k: 2, x: 1, i: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60\/14 - 10\/35. Let d(h) = v + 1 - 4*h - 5. Let z(m) = 3*m. What is d(z(i))?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 4) to base 6.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -93475 times -3\nAnswer: 280425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + (sqrt(192) + 2 - sqrt(192) - sqrt(192)) + 1 - (sqrt(192)*1 + -1))*2*6)**2.\nAnswer: -9216*sqrt(3) + 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15587)\/9919*(-20)\/(-11))\/((-1)\/28)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.2 (b) 0.5 (c) -243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 40 + 5. Let u(w) be the second derivative of w**3\/6 + 9*w**2\/2 + 5*w. Let q be u(z). Let f(o) = -o. Give f(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 144 + 0 = 0. What is the remainder when 68 is divided by u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -72. Let n = -28 + y. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178 + -94. Let y = 54 + r. List the prime factors of y.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - n - 77, -7*n - 43 = -v - 2*n. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79.6560094 to 0 decimal places.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -468843 + 673592. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 12) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 404?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + q**2 + 6*q + 8. Determine u(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + p**5)*(648 + 653 - 1331 + 1 - 3 + 4 + (-3 - 3 + 7)*(-2 + 5 - 2)).\nAnswer: -27*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 110857.9839 to the nearest 100.\nAnswer: 110900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = b - 106. Suppose -33 = 14*l - b*l. What are the prime factors of (-4)\/l + (-470)\/(-3)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-3))\/((110\/(-24))\/5))\/2.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(36)\/sqrt(3) - 3*(sqrt(3) - -1*sqrt(3))**2).\nAnswer: -2*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) 3\/4 (c) 0.91 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.489 and -19.6?\nAnswer: -9.5844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3431, -0.12, -0.3, 9, 0.03 in decreasing order.\nAnswer: 3431, 9, 0.03, -0.12, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 352027858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -1 + -3 + 3. Suppose 4*g - d - v*d = -41, -4*g + 2*d = 38. Let o = -3 - g. What is the greatest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2201, -4408, -6615, -8822, -11029?\nAnswer: -13236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*y - 3. Let v = -1 + y. Let t(o) = o**3 - 3*o**2 + 2*o - 1. What is t(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = o + 3*w, -2*o + 2*w = -2*w - 146. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 31, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*l - 9*l**5 + 41*l - 37*l**3 + 37*l**3 + 6*l**5 + (-l + 3*l - 4*l)*(l**4 + l**4 - l**4).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1690 and 7021781?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101101111 + 10?\nAnswer: -11011101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 7*u + 7. Suppose -2*r = 4*q + 19 - 3, 0 = -2*q + 3*r - 24. Let g be c(q). Solve h - g - 1 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/72 and -21\/3538.\nAnswer: 127368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/19, 16, 2\/5 in descending order.\nAnswer: 16, 2\/5, 5\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 27\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5) - 234\/(-14742)*534\/(-10).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - o - 11 = 0, 7*s - 67*o + 66*o = 26 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (559 - 388)*1\/(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-3))\/(y*y*((y\/(y\/(y**(-4)*y*y*y)*y)*y)\/y)\/y*y))**(-2\/63)*(y*y\/y**(3\/7)*y*y*y*y\/((y**(-2\/3)*y)\/y*y))\/(y*y**0\/y)**(5\/4) assuming y is positive.\nAnswer: y**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 48 - ((2 + 1 - 5) + 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, p: 2, k: 1, t: 5, l: 1, e: 4}. Give prob of sequence pkl.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 483 by 4.\nAnswer: 483\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 10*n - 21 + 179 + 22 - 10 = 0, -30 = -3*d - 3*n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11954?\nAnswer: 2, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -25*d**2. Let c(i) = -2*i + 234 - 144 - 31. Give r(c(g)).\nAnswer: -100*g**2 + 5900*g - 87025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 167598 by -1.\nAnswer: -167598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 75 = 5*c + 4*k, 3*k = 3*c + 45. Let r = 17 + c. Calculate the greatest common factor of 18 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -461 + 291. Let f = n + 341\/2. Factor 3\/2 - f*p**2 + p.\nAnswer: -(p - 3)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-2))\/(501\/334).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020798 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -11. Let k = x + 6.999997. What is k rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (2 + -4) - (618 + -688).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33750 by 6.\nAnswer: -5625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 22\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 10 = -q, -4*q - 3*h = 5 + 15. Let f be ((-18)\/(-15) + -1)*q. Let n = -2 - -2. Which is the closest to n? (a) -0.2 (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 19\/4, 3, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = r - 4*w + 6*w, -8 = 2*w. Let k be ((-1)\/3)\/(3\/(-261)). Calculate the common denominator of -97\/6 and r\/8*k\/(-5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116246 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0232606123 rounded to 6 dps?\nAnswer: 0.023261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 999?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 + 53. Suppose 21 = r*g - 4*s - 27, g = 3*s + 20. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c - -c?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 288, -497, -1814, -3669, -6068, -9017, -12522, -16589?\n\"Answer: -f**3 - 260*f**2 + 2*f + 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2551489 rounded to three dps?\nAnswer: 0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 2, 9 in decreasing order.\nAnswer: 9, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 13. Let c be y(-9). Suppose j = c*j. Suppose 2*b - 8*b + 138 = j. What is the remainder when b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h - 4. Is 23 a factor of h\/12 + 651\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (72\/(-90))\/((-4)\/10). Suppose b**t + b**2 - 4*b**4 + 2*b**4 - 3*b**5 + b**3 + 2*b**5 = 0. What is b?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = s - 7684. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((1 + -3)*13)\/(-2). Which is the nearest to -0.1? (a) -3 (b) 0.4 (c) -0.4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1118818 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.148 and -98277725760.8.\nAnswer: -98277725760.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43643\/594 - 808\/11. Let q be 7\/(-6) + (-2)\/(-3). Is q bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11*2 - (-185)\/(-37). Let k(h) = -163 - 167 + i*h + 323. Let w(d) = 9*d - 4. Determine -4*k(z) + 7*w(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-410)\/(-82)*18\/15*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1021210 + -4?\nAnswer: 1021203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r = 6. Let i be 13 + (r - (6 - 2)). Calculate the highest common factor of i and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.93 - -0.07. Let l(d) = 5*d - 64. Let w be l(15). Suppose k + 12 = -3*i, 4*k + w = 2*i + 19. What is the second smallest value in r, 3\/7, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 2*h**2 - 14*h + 5. Calculate y(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715 - 23.065136?\nAnswer: 1691.934864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35040 = 12*m + 12*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(208)*-3)**2.\nAnswer: 120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 14*r**2 + r + 36. Calculate the remainder when 629 is divided by c(-14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (16 + -13 - -15 - -6 - 9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 2 = 2. Which is greater: -4\/25 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 32*q + 384. Calculate the remainder when t(-19) is divided by 259.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 minus -6?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = a + c, a = c + 4. Let p(y) = a*y + 6 - 2*y**2 + y**2 - 2. Let d be p(8). Round d to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -278 + 1084 - 174 + 14*l - 110 as x*l + w and give w.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4 + 2277*l**3 + 2889474*l**2 + 11530476*l + 11521320 = 0. Calculate l.\nAnswer: -670, -2, 1433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-3) - (-2)\/(-6). Let t = q + 2. Suppose 3*d - 4*d + 37 = -5*k, -2*d = 3*k - 9. Solve 4*i + t*i = -d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-43*(-3 - -2))\/(-1). Let d = i + 61. Is 18 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -224 - -275. Suppose 23 - r = 14*l. What is the biggest value in l, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2673 + 1419. Let c be d\/(-10) - (-2)\/(-5). Suppose -2*s + c = -3. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4540 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/5*720\/(-504). Solve 3*u + 15 = 0, 21 = 4*m - z*m - 3*u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 1. Let o(i) = 5*i**2 + 6*i + 3. Let k(u) = -o(u) - 3*p(u). Factor k(l).\nAnswer: -2*l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*j**5 + 91*j**3 + j**2 + 92*j + 8 wrt j.\nAnswer: -580*j**3 + 546*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-3)*3\/(-30). Let j be (-8)\/12*(2 - -4). Which is the fourth smallest value? (a) o (b) 1\/8 (c) j (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 13*m**2 - 14*m - 2. Let r be o(14). Suppose -6*i + 2*i = -20. Suppose -h - 10 = 3*w, -i*w = -w - 4*h - 8. Is w != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 4, -2, 62 in increasing order.\nAnswer: -5, -4, -2, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22 bigger than 0.0534503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ol when two letters picked without replacement from {o: 3, l: 13, e: 3}?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o + 9. What is the units digit of w(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1450 + 12451?\nAnswer: 14341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 9*p + 6. Let x(n) be the third derivative of 1\/6*n**3 + 1\/24*n**4 + 0 - 3*n + 8*n**2. Calculate -c(r) + 6*x(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 plus 322254283?\nAnswer: 322254328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/2*u + 9 + 3\/2*u**2.\nAnswer: 3*(u - 3)*(u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - 5. Suppose 0 = 5*p + g + 17 + 8, -2*g = -3*p - 2. What are the prime factors of n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0 (c) -26073\/7 (d) -2\/13 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**2 - 2916*s + 1062882 = 0.\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.2883*0.308\nAnswer: 0.3967964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 77*l - 77*l + 16*l**2 + (-3*l + 0*l + 2*l)*(-3*l + 4*l + 0*l) - 2*l**2 + 3 - 3 + 0*l - 2*l**2 + 0*l + 22*l**2.\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 6*q + 196, v - 8*q - 15*q = -19*q - 34 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/(1\/84*-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3 and 14903.65?\nAnswer: 14904.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1650*n - 3198*n - 2217*n - 1337*n to o*n + a and give o.\nAnswer: -5102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1851 or -679?\nAnswer: -679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 5 = -n. Solve 2*u = 5 + n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -895 - 23 = -11*z - 7*z. What is the remainder when 1988 is divided by z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 11*n**2 + 9. Suppose 4*j + 0*j = -4*l - 24, 3*j - 2*l + 43 = 0. Let u be c(j). Solve u*z = 4*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 8:07 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -791*i**3 - 2*i**2 + 183*i - 20. Let l(n) = 396*n**3 + n**2 - 91*n + 12. Let y(a) = 3*k(a) + 5*l(a). What is the second derivative of y(t) wrt t?\nAnswer: -2358*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = d - w, 4*d - 4*w + 224 = w. Let l = d + 85. Let t = 97\/4 - l. What is the closest to t in 2, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 44 = -16. Let i(l) = -l**3 + 8*l**2 - 9*l. What is i(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Suppose 5*q - 33 = g*v, q + 2*v - 8 = v. Let s = q + -5. Sort s, -5, 3.\nAnswer: -5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*g - 93 = 0, 2*h + 2*g - 62 = g. Suppose -b + 1 = -2. Suppose -b = 4*a - 23. Solve h = -a*s + 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, s: 1, w: 4}. What is prob of sequence csc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from {p: 1, s: 1, y: 2, z: 5}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**2 - 12*j**3 - j - 44*j**3 - 7*j - 22*j**3 - 5*j wrt j.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*o - 1150 = 25*o - 19*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 45438?\nAnswer: 45438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -7*p + 459. What is the remainder when p is divided by 3\/(-2) - (0 - 86\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7 = -3*r, 0 = -3*r + f + 2*f - 6. Let g be r\/(-2) + (-189)\/(-14). Let b be (g\/28)\/(2\/20). What is the greatest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87 - 3*n - n**3 - 37 - 68 + 0*n + 13*n**2 - 14*n**2 to the form t + g*n + o*n**3 + q*n**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2327 - 1216. List the prime factors of p.\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n**3 - 4*n**3 - 7*n**3 + 2*n - 2*n**3 - 2*n + (0 + n + 0)*(5*n**2 - n**2 + 0*n**2) - n**3 - n**3 + 4*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 143688901835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22137329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.18 - 0.88. Sort -1\/2, 3, m.\nAnswer: -1\/2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:23 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 89449373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-8949)\/114 - -81)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -464517.9 - -0.5?\nAnswer: -464517.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4840249 litres to millilitres.\nAnswer: 484.0249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4715\/805)\/(14\/98).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 396, 825, 1254, 1683, 2112, 2541?\n\"Answer: 429*z - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 - 12*s - 22. Let b be w(-8). Is 36\/b + 2087\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2474146?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 5*q**2 - 11*q - 13. Let g be x(-6). Let j = 2 + g. What is the derivative of -7*o**2 + 19 - j*o**2 - 6*o**2 wrt o?\nAnswer: -64*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -0.1, 0.2, -5\/513, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 273 + -5074?\nAnswer: -4701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 25630.\nAnswer: 25630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 38*g - 28410. Is g a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -46038 in decreasing order.\nAnswer: -2, -4, -46038","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 106765344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/9 + -3 - (-4 + (-116)\/(-12)). What is the fifth smallest value in -9, -1, h, 3\/4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 208 = j. Suppose -49 = 3*f - 4*f. Let y = j - f. Solve -w = -y*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.041 - -4241.041. Let m = 4241.2517 - h. Round m to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-56)\/(-2) - 6\/(-15))*6355\/82.\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6647?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6550.99 rounded to the nearest 100?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 4*n - 2. Let p = 5 - 11. What are the prime factors of l(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 plus -1431107065?\nAnswer: -1431107066.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 133\/6 - 3869\/174. Suppose 12 + 3 = -3*l, 3*l + 15 = -m. Suppose m*g - 2*g = 0. Which is smaller: x or g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/9744 + 541\/3248. Suppose -3 = -2*j + 2*q + 3, -3*j - q + 5 = 0. Solve 1\/12*t**3 + 0 + 0*t + 1\/12*t**4 - m*t**j = 0 for t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.5. Let o = -0.1 + v. Let m = 2.5 + o. Which is the nearest to 0? (a) 2\/9 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, u: 5, v: 2, d: 6, e: 1}. Give prob of picking 1 e and 1 w.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*g, t - g = -2*t + 633. Let y = 263 - t. Which is greater: -3\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206430217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0338 + -0.0721. Let g = -0.0117 + w. Which is the third smallest value? (a) -1.1 (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185781204 divided by 20642356?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2260\/(-3955) - (60\/(-455) + 2\/(-13)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -1 - (-45 + 71 - 22)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 9*-1)\/(-1). Let o be (-1)\/2 + 444\/24. Suppose 25*n - o*n = -63. Is n smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {s: 2, b: 4, p: 4}?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -18. Solve 20 = -4*m + 2*i, m + 0*m + i + d = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 8 = -19*v + 22*v, -p + 2*v + 4 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -65, -117, -199, -311, -453?\n\"Answer: -15*x**2 - 7*x - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4643\/(-6) + (-27)\/162. Let c = 779 + l. Calculate the greatest common divisor of 25 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 554*s**3 + 7667*s**3 + 16371*s**3.\nAnswer: 24592*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218 + 190. Let n be v\/70*(-1 + -4). Solve -4 = -2*s - n*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*4\/(-30)*27\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 301 and 3.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p*p*(p*(p*(p**(-2)*p)\/p)\/p)\/p)\/p*p)\/p)**(-36))**(-17)\/((p**(1\/4))**(-8\/13)\/(((p\/p**(-1\/3)*p)\/p)\/p*p)**(-7\/9)) assuming p is positive.\nAnswer: p**(-310\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000064561 to 7 dps.\nAnswer: 0.0000646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 278 + -231. What is the remainder when t is divided by ((-50)\/3)\/((-10)\/15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/107756 and -43\/6.\nAnswer: 323268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 4)*443\/(-5). Let g = -315 + j. Let f = g + -61. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {o: 1, y: 1, k: 3, a: 2, t: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 19. Let n be 95\/(-7) + 20\/35. Let v be r(n). Let c = -30 + v. Solve -f + 5*d = d - 9, -c*f + 3*d = -13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 3 - (-8)\/10)\/((-71)\/(-142)). What is the closest to n in 2, 0.1, -108, 1\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-178*x**2 + 104*x**2 + 96*x**2 - 1)*(3*x - 1 + 1) as z + n*x + j*x**3 + i*x**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2057) - (sqrt(2057) - (sqrt(2057) + sqrt(2057)*-4*5))) + sqrt(2057) + -1 + sqrt(2057) + 3 + sqrt(2057)).\nAnswer: -10 + 880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122424, -246865, -371306?\nAnswer: -495747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50627968, 101255932, 151883896, 202511860?\nAnswer: 253139824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-2\/13)*p*p)*p**(-16))\/((p*p**(2\/11)\/p)\/(p**(-2\/21)*p)) assuming p is positive.\nAnswer: p**(-48418\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/176 >= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60366225*g**4 + 7*g**2 + 9*g + 91098 wrt g?\nAnswer: 1448789400*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*v - 17, 3*f - 5 + 36 = v. Is (-10)\/(f\/(801\/2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 58?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 489 - 489. Let i = 125 - 122. Which is the third smallest value? (a) i (b) -67 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4193 + 1405 = 4*n. Let b = 992 + n. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 z when three letters picked without replacement from pzzpzppzzzzppzphpzz?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160278, 160279, 160280, 160281, 160282?\nAnswer: 160283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {x: 2, q: 18}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2034*q**4\/5 + 4101*q**3\/5 + 420*q**2 + 33*q\/5.\nAnswer: 3*q*(q + 1)**2*(678*q + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = b - 198. Calculate the greatest common factor of 24 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/3 + -50\/33. Find the common denominator of p and -3\/1033.\nAnswer: 11363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11312 + 103?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11 - -4.11. Let p be (16\/108)\/(6\/9). What is the second biggest value in d, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -q - 153, 76 + 119 = 5*t - 2*q. Suppose t*b = 40*b - 12. Which is greater: 0.4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 17 = 2*f, -4*y - 4*f = -2*f + 62. What is the tens digit of 25*-2*3\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 14*c - 44 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**3*u**3 - 72*b**3 + 3*b*u**5 - 3*b*u**2 wrt u?\nAnswer: 18*b**3 + 180*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.1456 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 - 4*o**2 + 1. Let a = 3 - -7. Suppose a*u = 5*u + 15. Let d(x) = -6*x**3 - 11*x**2 + 3. Determine u*d(r) - 8*b(r).\nAnswer: -2*r**3 - r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:51 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3709302 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3631777 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8132235 divided by 15\nAnswer: 542149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-1)*d)**(1\/5))**(-16\/11)\/(d**(-4\/5)\/((d\/d**(-5))\/d))**(-2\/93) assuming d is positive.\nAnswer: d**(-3614\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888569 to the power of 1\/2, to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.7022431 millimeters?\nAnswer: 0.07022431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 - 440204?\nAnswer: -440344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 4*j**2 + 2*j + 1. Let b = 2 + -8. Let t be (2\/b)\/((-3)\/(-45)). Calculate the smallest common multiple of 14 and h(t).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 7 = 5*w - 71, -5*w + 102 = 3*f. Let z(r) = 3*r - 2. Let j be z(4). Calculate the smallest common multiple of w and -6*(-4 + j\/3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17428168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/3, 2\/23, 5, -0.5, -335 in decreasing order.\nAnswer: 5, 2\/3, 2\/23, -0.4, -0.5, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 l, 1 t, and 1 h when four letters picked without replacement from tyhljah.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 79006606 plus 7?\nAnswer: 79006613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 3 - 3)*(-10*h + 2*h - h) + (5*h - 6*h + 0*h)*((h - 2 + 2)*(-1 + 4 - 2) - 564*h + 1244*h - 511*h).\nAnswer: -179*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l + 5 - 6 - 30*l**2 - 5*l wrt l.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 827533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v + 8*v**2 - 17*v to w + q*v**2 + y*v and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a + 2*a)*(-3 - 4 - 5 + (-4 - 3 + 6)*(1 + 1 - 1) + (-2 - 2 + 3)*(-2 + 4 - 6) - 4 - 2 + 5).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(121) + -2*sqrt(121))*5)\/(sqrt(99)\/sqrt(144))*6.\nAnswer: -240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -7 (b) -0.1 (c) -3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 2267588 = 1954190. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/60*185*(-6)\/(-1). Solve -4*d = -123 + k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2)*u)**(4\/3)\/(u**1*u**(-3)*u*u) assuming u is positive.\nAnswer: u**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxllxvawlx. Give prob of picking 1 l and 1 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 2483633?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1636 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 1:14 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 194016100*q - 1882112352960500.\nAnswer: -5*(q + 19401610)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3388519 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3773, 3767, 3759, 3749, 3737, 3723, 3707?\nAnswer: 3689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467893041 to the power of 1\/3, to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 3481*y + 4606*y - 1 + (-3 + 3 - 2*y)*(-3 + 4 + 0).\nAnswer: 1123*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3065 + -45?\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42039 is divided by 13349?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -364*y**3 - y - 5. Is s(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -25. Suppose -5*a - 2*s + 11 = -4, -2*a - o*s = -6. Let f(q) = q**2 + q - 7. Let d be f(a). Solve -t - 5 = -4*u + 10, -d*u + t = -18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + r = -3*r - 20, 0 = -r. Suppose -5*f + v = -6. Factor f*i**3 + 2*i - 3*i**3 + 2*i - 3*i**3.\nAnswer: -4*i*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.15995176 + 11.16. What is v rounded to 6 dps?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1895 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*s - 23 + 9 + 7*s to the form y*s + i and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-12) + 62\/4. Solve 2*z + i = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14646770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -166, -1665, -5734, -13657, -26718, -46201, -73390, -109569?\n\"Answer: -214*z**3 - z**2 + 2*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -16. Let f = s + 5. Solve 4*k + 2*c + 4 - 14 = 0, f*k + 4*c = 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**5))\/(i*i**(-2)\/i*i*i))\/((i*i**(4\/5))\/i**(-1\/3))*(i*i\/((i**(2\/5)\/i)\/i))**(-29)\/(i*(i*(i\/(i**0*i*i))\/i)\/i)**(-3\/2) assuming i is positive.\nAnswer: i**(-3121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16491 divided by -14?\nAnswer: 16491\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8562 = -6*y + 3*y. Let v = y - 45681\/16. What is the common denominator of -57\/14 and v?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -14*d - 15 - 14*d + 60*d - 4. List the prime factors of u(4).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -803*o**5\/20 - o**4\/24 + 391*o**3\/6 - 692*o**2. What is the second derivative of p(g) wrt g?\nAnswer: -4818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.56 - 0.04. Let v = l + -0.4. Let d = 42 - 42. Is d bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -5)\/(-7)*88\/4\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0\/2 + (-62)\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 11 + -1 + (0 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.15, 6\/7, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/1271 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**5\/10 + 6*x**2 - 1. Let k(d) = d. Calculate k(s(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*z**2 + 31*z**2 + 19*z**2 + 35*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389 - 9*o**3 + o**3 - 388 + 0*o**3.\nAnswer: -8*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a = -21*a - 9*a + 100 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(1872) + sqrt(1872)))**2 + (sqrt(1872) + 0)**2*-6.\nAnswer: 35568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g**2 - 20*g. Let j be k(4). Let u(x) be the first derivative of 3\/4*x**4 + j*x**3 + 0*x**2 + x + 4. Differentiate u(i) wrt i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 6. Give t(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 585634 and 510881?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-6 - -3)) + 1 + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*d + 1463 - 9233. Suppose 0 = -3*g + 6, 3*i - 5*g + 289 = -96. Let s = d + i. Calculate the highest common factor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -4 + -22)\/2. Is -10 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*a + 8 = 0, -4*a + 1 = -4*c - 43 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -27*p + 186. Let x be c(17). Let k be (4\/(-49))\/(39\/x). Find s, given that -k*s**2 - 16\/7 - 20\/7*s = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58, -69, -80?\n\"Answer: -11*s - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 16350106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a century in decades?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239325 is divided by 402?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1585 = -70*j + 75*j. Which is smaller: j or 319?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 225 + -145. Does 24 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 453 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m*m**(-2\/3)*m)\/m))**(-3\/8))**(-18) assuming m is positive.\nAnswer: m**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116641.8 != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/((-330)\/40)*1\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -145, -5 in ascending order.\nAnswer: -145, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -275 - -460. Suppose n = -4*n + x. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/30 - 19*o**4\/24 + 29*o**3\/6 - 345*o**2 + 1. What is a(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*q - 28*q - 50. Solve -27*p = -3*a - 32*p - 12, -19 = -4*a + q*p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 40 = -4*d, 5 = -2*p - d - 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -35. Calculate the highest common divisor of k and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 - 4*j + 13. Is 6 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -105, -432, -985, -1770, -2793, -4060?\n\"Answer: -t**3 - 107*t**2 + t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -18 - (-3 + 9) - (2 - -13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1243443 - -2?\nAnswer: -1243441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105451, -4, 1, 0, -1 in descending order.\nAnswer: 1, 0, -1, -4, -105451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -10*q + 44. What is the least common multiple of l(-6) and 96?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*u - 8*u - 16*u)*(3 - 3 - 1).\nAnswer: 39*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8319, 8444, 8569, 8694?\n\"Answer: 125*y + 8194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.508 - 2397.208. Let a = m - -2257. Round a to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41522 (base 7) in base 16?\nAnswer: -27e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253*l = 247*l + 30. Find the second derivative of 13 + 690*i - 607*i - 13 + i**3 - 27*i**l wrt i.\nAnswer: -540*i**3 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 549\/36 - 17 - -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55683 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 84*w - 3. Let j(s) = 77*s - 3. Calculate 6*j(f) - 5*u(f).\nAnswer: 42*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 879311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 9*j + 5. Let g be r(-8). Suppose -3*t = 2*m + g, -9 = -2*m + 3*t - 4. Put -5, m, 4 in decreasing order.\nAnswer: 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttxxtxt. Give prob of picking 2 t and 2 x.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4646 - 2350. Calculate the smallest common multiple of 492 and y.\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + 6. Let p be (8\/10)\/(58\/(-290)). Let z(h) = 3*h - 7. What is p*z(m) - 5*s(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141 - -363. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a decade?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Suppose a*c - 4*x = -10, -2 - 6 = -4*c + x. Which is greater: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -4 (b) 2\/7 (c) -20 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*b - 723*b + b**2 + 262*b - 175*b - 601*b.\nAnswer: b**2 - 1293*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 4252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v - 11. Let i be w(-6). Solve 5*m = i - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 5. Let l(w) = 2*w + 2. Let q(b) = -2*d(b) - 7*l(b). Let o be q(-3). Suppose 0*p = o*p. Solve 0 = -p*i + 3*i + 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - (-9)\/(-2))*-18 - -5. List the prime factors of (109 - -9)*(-42)\/a.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) - (-16)\/6. Let t be (-15)\/9*s\/2. Let c = -3 - t. What is the third smallest value in c, -2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12635*m + 0 + 4071*m + 3419*m - 1 + 3320*m to the form l + f*m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3552463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x - 65. Let n be t(-32). Let j(g) = -2*g**2 + g - 3. Let c(q) = 8 + 13 + 12 - 2*q**2 - 32 + 3*q**2. Determine n*j(a) - 3*c(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 665\/4 - 167. Let o be 1 - 3 - (2 - 3). What is the biggest value in -2, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45016*y = 45006*y + 60 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 98*t + 11051510 = 91*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-10 + 1 - 7)*(1 - 3 + 0) + 1 + 0 - 2 + 2 - 1 - 2 + (6 + 2 - 4)*(4 - 2 - 7))*(3*d - 5*d + 4*d) in the form h*d + q and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 20*b - 9 - 8*b - 6*b + 0. What is v(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-612)\/(-302) + (-4 - (5 + -7)) and 68\/3.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 191*j - 80*j - 95*j + (0 + j + 0)*(-1 - 2 + 2) to t + s*j and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*s = 3*s - 19, 2*l + 3*s - 5 = 0. Let z(d) = -d**3 - d**2 - 2. Determine z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p. Suppose 4*b - 2*o + 4*o - 12 = 0, 3*b - 2*o - 2 = p. Let q = 790 - 776. Solve q = -u - b*g, -u - 5*g - 17 = -3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205744997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 21*q + 6. Suppose 0 = -5*x - 4*r + 5, 2*r + 1 - q = -5*x. Suppose -c - x - 2 = i, -3*c - i = -1. Solve -4 = c*n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -60*k**4 + 19792*k**3 + 2708*k**2 - 22440*k = 0.\nAnswer: -17\/15, 0, 1, 330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 31458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.71248 + -3.4085. Round x to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4662 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-90)\/(-36) - (-2)\/(-4). Suppose 3*d = 12, 0 = -0*u - l*u - 3*d + 2. Let z(q) = -q - 2. Give z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 12*y - 254 + 318, -4*j - 4*y = 40 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 368479 by -509.\nAnswer: -368479\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 - (66 + -75)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177*b*d**4*x - 3*b*x - 2*b - 3*x with respect to d.\nAnswer: -708*b*d**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4*k + k = 20, 782*k + 7 + 13 = -5*d + 781*k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -21*h - 36. Let t(y) = -4*y - 7. Let m(j) = -2*q(j) + 11*t(j). Let o be ((-7)\/4)\/(49\/196). Let g be m(o). Solve -6*v + 3*v = g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.72 - 0.48. Let y = -1.7 - h. Let t = -2 + y. What is the third smallest value in -1\/2, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45410 (base 6) to base 16\nAnswer: 190e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 6*x - 1. Let y be (2 - 1)\/((-3)\/42). Let v = y - -14. Suppose 7*g + 35 = -v*g. Determine q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2862570*t**2*u**3 + t*u**2 + 689430*u**3 wrt t?\nAnswer: 5725140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - 3*d**2 - 3*d**2)*(-3*d**2 + 2*d**2 - d**2) - d**2 - 2*d**4 + d**2 + (d - d - d)*(2*d**3 - 5*d**3 + 4*d**3).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k + 4. Let m(v) = -5*v + 4. Suppose -2*l + 3*n = 11, -l + 10 = 2*n - 2. Let h(w) = l*j(w) - 3*m(w). What is h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40284 a multiple of 373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/5, 3\/2, 0.5, -17.4, 41 in descending order.\nAnswer: 41, 3\/2, 0.5, 0.3, 1\/5, -17.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9*1)\/((-21)\/28). Let w(o) = 2*o**3 - 4*o - 2*o**2 + 4 + o**3 - 2*o**2. Let g(c) = -c**3 + c**2 + c - 1. Determine x*g(k) - 3*w(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -843*f + 315974 = 5993*f - 952*f + 985*f for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**4 + 12*d**3 - 12*d**3 + (2*d + 0*d + 0*d)*(d**2 + 2*d**3 - d**2) + d**4 - 3*d**4 + 3*d**4 - 2*d**4 + 4*d**4 + 2*d**4.\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 37184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - j = -12556. Let h = 18997\/3 + j. Let t = h + -155\/3. Find the common denominator of t and -93\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051 times 0.02?\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3 = 3*u. Let g be 0 + u - (-28 - -3). Suppose -8*x - 34 = -2*s, -2*x + 22 + 15 = 3*s. Calculate the highest common factor of s and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 7*l + 9. Let d be b(-2). Let a(r) = 17*r**2 + 4*r - 1. Let c be a(d). Suppose f - c = 153. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjh when three letters picked without replacement from {j: 10, h: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - (-22 - -14) - -28.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164172830*d**3 + 8*d**2 + 2735*d - 20 wrt d?\nAnswer: 985036980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -4 (c) 1\/120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -87, -123, -179, -261?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {q: 4, u: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-225)\/810)\/((-10)\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8752, 8753, 8754, 8755, 8756, 8757?\nAnswer: 8758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -h + 29. What is the highest common factor of 87 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/40 - x**5\/30 + x**3\/2 - 35*x**2. Let t be (-1 - 60\/(-27)) + (-2)\/9. Let o(s) = s**3 - 1. Determine t*n(w) + 2*o(w).\nAnswer: -w**3 - 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10 = 5. Suppose h*o = -0*o + 75. Suppose 9*a = -o + 429. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 345, 312, 219, 36, -267?\nAnswer: -720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**3 - 11*b**2 - 3*b. Let r(s) = s**3 - s**2 - s. Suppose 4*o - l - 1242 = -1251, 2*o - 3*l = -17. Calculate o*d(z) + 5*r(z).\nAnswer: z**3 + 6*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -1\/8*s**4 + 0*s - 9*s**2 + 0*s**5 + 0 + 0*s**6 + 0*s**7 + 1\/24*s**8 + 0*s**3. Find the second derivative of p(a) wrt a.\nAnswer: 280*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 9:18 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 3*b + 5. Let z(o) be the third derivative of 7*o**4\/24 + 10*o**3 + 105*o**2. Let g be z(-8). Determine y(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33035.43 - -33169. What is r rounded to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/8*2\/(-12)*-4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -739?\nAnswer: -369.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 5 (c) 54 (d) -16946\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -3\/2, -6354?\nAnswer: -6354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2 + 4 - 4. Suppose -3*t + 4*l = -11 - d, -3*l = 0. Suppose -4*x + 653 = -3*a, 5*x - t*a - 814 = -a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2504 divided by -2\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144610487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -171 - 33. Let o = -16 + n. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240.874803ms to days.\nAnswer: 0.0000027879028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**5\/5 - p**4\/12 + 356*p. Give a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(-2\/25)*f)\/f*f\/(f**(-2\/7)\/f)*f)\/(f**(2\/7)*f)**(-2\/23))\/((f\/(f*f**(-2)))\/(f**(-1\/3)*f))**(-14) assuming f is positive.\nAnswer: f**(289609\/12075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 261, 259, 257, 255, 253, 251?\n\"Answer: -2*j + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + (1*sqrt(931)*-1*-1 - (-3*(sqrt(931) + -1) + 2)))**2 + 0.\nAnswer: -168*sqrt(19) + 14908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 5. Let h = -40 - -45. Sort -5, h, y in descending order.\nAnswer: h, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40*((-2)\/3)\/(10\/(-15)). Let c = 50 - f. Suppose 3*j - 6*r + 5*r - 7 = 0, 3*r + c = -2*j. Calculate the smallest common multiple of 45 and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*c**2 + 150*c**2 + 23*c**2 - 34*c**2 + 196*c**2 + 216*c**2.\nAnswer: 662*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 254*i**4 - 53*i + 138908?\nAnswer: 1016*i**3 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d + 96 = 1464. What is the greatest common factor of d and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 0*r - 4\/21*r**3 + 1\/2*r**4 - 3 + 0*r**2 - 2\/7*r**5. Determine x, given that b(x) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 4*u - 2398 = -2415, -16*b + 3*u + 89 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/9, 0.4, 245299\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -81 - (-5 + (-20)\/(-2)). What is the remainder when 71 is divided by (43\/g)\/((-1)\/50)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -63*v**3 + 3*v**2 - 3*v. Let k(t) = t**2 - t. Suppose -998*x + 1002*x - 4*g = -12, 17 = 5*x + 3*g. Calculate x*o(a) - 3*k(a).\nAnswer: -63*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -8 + (23 - (-2)\/(-1)). Let n be p\/36*16\/2. Suppose -n = -4*i, -4*x - 17 = -i - 4*i. Which is the second biggest value? (a) -7 (b) 0 (c) 1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36688560, 73377130, 110065704, 146754282, 183442864?\nAnswer: 220131450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 369466571 to the power of 1\/3, to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1196 - 1?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 1 + 3)*(-15 + 15 - 5*l) - 51*l - 56*l + 91*l to w + d*l and give d.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4423490 times 6\nAnswer: -26540940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 595, 594, 593, 592, 591?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3 + 146880*a**2 - 4*a + 1459812.\nAnswer: 6*a**2 + 293760*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3 + 30281*m**2 - 726212*m + 1331308 = 0.\nAnswer: 2, 22, 30257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109666268?\nAnswer: 2, 229, 119723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104\/5 + 1184\/55. Let x = l + -27\/22. Suppose -4*p + 4 - 16 = 0. Put p, x, -4\/9 in descending order.\nAnswer: -4\/9, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 29*l**2 + l**5 - 18 - 3*l**2 + 21*l**4 + 8*l**3 - 9*l + 18*l**4 - 47*l**4 = 0.\nAnswer: -1, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -0.1. Which is the third biggest value? (a) z (b) -0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -795 - -832. What is the remainder when 312 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.44 - 0.64. Let u(i) = -2*i**3 + 31*i**2 - 17*i + 33. Let k be u(15). Which is the nearest to h? (a) 6 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436.29 rounded to the nearest ten?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -25*f - 954. What is y(-28)?\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 = c + 15*o + 552, -4*o = -17*c + 67 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 6*z**2 - 5*z - 7. Let q be g(7). Let h(s) = -9*s + 5. Let b(n) = -8*n + 4. What is q*b(y) - 6*h(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 13 = 3*m. Let o = 0 - m. Is 21 a factor of ((-18)\/o)\/(12\/(-224))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - -7. Let p = 19 - a. Is p - -4 - (-518 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 175 and 15204.\nAnswer: 15379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 4*j**2 - 4*j + 4. What is t(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84428?\nAnswer: 2, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4 + 1. Is o at least as big as 7\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1525 in -0.1, 14, 0.13, 2\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -32 - 22. Suppose -3*y - z = -i, 2*i - 23 = i + 4*y. Let w = i - -2. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:46 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 3*m - 3*m - 5*m as f + o*m and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -20.85. Let v = -0.15 + t. Sort v, 3\/5, -2\/9.\nAnswer: v, -2\/9, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8467*s**3 - 2*s**2 + 128*s + 4*s**4 + 9*s**4 + 15*s**2 + 8467*s**3 wrt s.\nAnswer: 156*s**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.12963 and -0.28.\nAnswer: 0.84963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 0.04. Let n = -1.6 + -6.4. Let k = n - -8.2. Which is the nearest to -0.1? (a) 2 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 6*z**2 + 230*z + 95. Let q be u(-19). Solve 0 = -p + 3, -q*t - 20 + 4 = -4*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/2)\/((-494)\/532) + 5.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 6)*(6*f + 3*f - 4*f).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-two fifths of a kilogram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 0, -5*t + 26 = -5*d + 81. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 114, 141, 132, 75, -42, -231?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**5\/11 - 2102318*w**4\/11 - 27330382*w**3\/11 - 94605530*w**2\/11 + 52558100*w\/11 + 525586000\/11 = 0.\nAnswer: -5, 2, 1051172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 4*a + 6, -3*a = -2*s + 11 - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 348\/(-108) + 1*3. Put 0.5, -4, m, 4 in descending order.\nAnswer: 4, 0.5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 - 2*l + 2*l)*(964 + 133 + 134 + 122) to o*l + z + n*l**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19043898 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*v**2 - 7*v - 8*v**2 + 0*v**2 + 11*v wrt v?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 + 1042010 - 521005 - 521005.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 8*s - 18 + (2 - 4 + 5)*(2*s - 2 + 2) + 15*s - 8*s + 16*s to v + q*s and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 16 + 41. Is -33\/7 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83149.\nAnswer: 11, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*w + 1403 + 882 + 739 = 0 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (17 - (-29 + -22) - 3) - (-1 - -4)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96817?\nAnswer: 7, 13831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/2*-1*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*k + 3*k - 24 + 944. Suppose 3*h + 5*g - 314 = 0, -g = 4*h - 182 - 214. Calculate the remainder when h is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + (sqrt(104) - (sqrt(104) + sqrt(104)*-1))\/sqrt(8))*3 - sqrt(52)\/((-1*sqrt(4)*1 - sqrt(4)) + sqrt(4)))**2.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*5\/(-75)*(-15)\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 12 = 5*g, 4*t + 10 = -0*t + 3*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 9*s + 18. Calculate the remainder when g(-12) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((15\/6 - 3)*0)\/2. Let x be a + -4099997 + (-5)\/(10\/6). What is x rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/5)\/(p*p*p**(-6))*(p\/((p\/p**3)\/p*p)*p)**25 assuming p is positive.\nAnswer: p**(522\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.9 - -61. What is the second smallest value in g, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902276 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -62 (c) -0.107 (d) 0.4 (e) -115 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 1. Let t(k) = 2*k + 1. Give -5*t(i) - 6*u(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 4095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*y - 12 = -180*y. Let v(c) = 5*c**2 + 11*c + 24. Let w be v(y). What is the greatest common divisor of 144 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -99, -108, -131, -174, -243?\n\"Answer: -z**3 - z**2 + z - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2 + 3*y + 5. Suppose -2*p + 10 = -7*p. Let j be t(p). Suppose j*l = 7*l - 32. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 11) in base 12?\nAnswer: -292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/3, 201, -0.34, -0.2 in descending order.\nAnswer: 201, -0.2, -0.34, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406 divided by -3?\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s + 21. Let g(n) = 2*n + 5. Give 9*g(c) - 2*r(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37037970 divided by -1.\nAnswer: -37037970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 319.54283283 and 5.\nAnswer: 324.54283283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 348 - 186146*h + 0*h**2 + 186148*h.\nAnswer: -2*h**2 + 2*h - 348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -118\/40837 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 38*d**2 - 38*d + 5. What is the least common multiple of 77 and f(39)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -13. Let i = -5 + r. Suppose -2*a + 15 = 4*b - 15, i*b = -2*a + 40. Calculate the remainder when 19 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35540258 divided by 13\nAnswer: -2733866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 166\/12 + 1 + 1 and 9\/6*((-1464)\/(-90))\/2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52046509 rounded to the nearest 1000000?\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - (sqrt(245) + -2 + sqrt(245)))*-5 - (sqrt(245) + 0 + sqrt(245))*-3)**2.\nAnswer: -1540*sqrt(5) + 29745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 93*w + 25 + 25 + 29 - 111.\nAnswer: -93*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6037\/2 bigger than 3018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3398 = 11*r + 538. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c64bb - 157?\nAnswer: -c6612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82969 + -82968.8. Let j = 0.2 - 0.7. What is the closest to q in -3\/4, j, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from ldmmlommdmmodllomol?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 17. Let d = 5.5 - k. Let q = 1238 + -1237.96. What is the closest to -1 in q, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5520 and 328480?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10212 + -1211012?\nAnswer: -1200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**2*s**3 + 3*c**2*t*u - c*s*t*u**2 - c*s*t*u + 3*c*s*u + 16577088*s**3*t*u**2 + 1438*s**2*t*u**2 - 2*s**2*u**2 wrt s?\nAnswer: 12*c**2 + 99462528*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -9 + 15 + -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqqpquuxuul. What is prob of sequence pl?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) 14 (b) -2\/17 (c) 8 (d) 0.3 (e) -90 (f) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -295*y**3 - 1652*y + 94*y - 10*y**4 - 2826*y + 1274*y - 3041*y wrt y?\nAnswer: -120*y**2 - 1770*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10204, -19974, -29744?\n\"Answer: -9770*o - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*i + 707 = 764, -4*i = 2*q + q + 139 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*p - 8870 = -6252 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4001*-18780\nAnswer: -75138780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28059 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 197151996 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -29\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 21*l**2 - 8*l + 173. Let a be g(21). Solve -u + 5 = -m, -2*m = 2*u + u - a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437777 a multiple of 602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3 + 242*j - 880 wrt j.\nAnswer: 6*j**2 + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1140112300?\nAnswer: 1140112304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(j**2 + 0*j**2 + 0*j**2) + j**2 - 3*j**2 - 2*j**2 + 13*j**2 - 7*j**2 + 78*j**2 + 8*j**2.\nAnswer: 86*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/(-88))\/((-6)\/(-11)))\/((-21)\/(-36))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 13 + 59. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5, 16 = 6*q - 4*q - 5*q + 2*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.0500044 to one dp.\nAnswer: 36.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/5 + 38\/15. Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 + -135.4. Is g > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(1 + (-14)\/8). Let c = -472 + 476. Suppose c*z = -t + 2, 3 = -2*t - 4*z + 7. Sort t, x, 1, 0 in decreasing order.\nAnswer: x, t, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 11:57 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r**3 + 4*r**2 + 42*r - 95. Let s(b) = 2*b**3 + 2*b**2 + 11*b - 1. What is f(j) - 3*s(j)?\nAnswer: 2*j**3 - 2*j**2 + 9*j - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 35*k + 385. Suppose b + 4*r + r = 44, 2*b - 81 = -3*r. Let i = k + b. Solve -3*x - 5*g = i, 0*x = -4*x - g - 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g - 4 = 0. Is -7*3\/(g + -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 3. Let d be y(3). What is the third derivative of 68*k**2 - 22*k**2 + 113*k**d - 159*k**6 wrt k?\nAnswer: -5520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0. Let v = n + 0.1. Let a = -1101 - -1104. Is v <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/(-55) - (-48)\/(-88))*-1. Put 0.2, f, -20, 0.7, 1\/4 in increasing order.\nAnswer: -20, f, 0.2, 1\/4, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 282, -36\/725, 3?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l*n**2 + 5*l*n - 15288*l - 139*n**4 wrt n.\nAnswer: 6*l*n + 5*l - 556*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 5*u. Suppose -18*m + 4445 + 2485 = u. Suppose 21*w - m = 56. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + (1 - -3) + -7. Find the second derivative of 132*q**l + 80*q - 6*q + 52*q wrt q.\nAnswer: 792*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 714 and 3279759.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 778672 a multiple of 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from ffffffxffxffffffffff.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppuuwjjuuuujuj. What is prob of sequence wuj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + z = -199648, 5*b = 4*z + 202372 + 47166. Is b a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 59 = 5*h. Suppose h*k + 6 = 15*k. What is the common denominator of 17\/24*k + -2 and -31\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 595*b**5 - 5483158*b + 5483158*b + 254*b**2 wrt b?\nAnswer: 35700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34044402?\nAnswer: 2, 3, 7, 810581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4859601 * 0.2\nAnswer: -971920.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 733.1323 centuries?\nAnswer: 73313.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2*o + 4, 113*q = 2*o + 115*q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18060.385 - 2.225?\nAnswer: 18058.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108485495 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 15 - 20*s**2 + 15 to the form d + j*s + b*s**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1765943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**2 + 6*p**2 + 13*p**2)*((-4*p + 5*p - 2*p)*(-1 - 3 + 3) - p + 0*p - 3*p + (1 - 1 - p)*(5 - 4 + 1)).\nAnswer: -125*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 10:08 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 5*z - 4. Let c be h(-6). Suppose -c*u = -5*u. Suppose u = -5*n - 25, 5*p = -n - 4*n - 440. What is p rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3)*26 + 6\/9. Suppose 11*u + 3248 = m*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by 51\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -227 + 31573\nAnswer: 31346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 0, 4*z + 6 = 6*q - 4*q. Suppose u - q + 38 = 5*g, -22 = -4*g + 2*u. Calculate the least common multiple of g and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 552. Let a be q(0). Let w = a - 378. Suppose 3*n - 105 = w. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14b8 - 2?\nAnswer: 14b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5 + 8 - 2*l + 4 + l**3. Let f(p) = -p**3 - 6*p**2 + p. Suppose -3*r - 12 = 6. Let g be f(r). Let d(y) = y**3 - 2*y + 6. What is g*d(a) + 5*m(a)?\nAnswer: -a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000536 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169544*t - 2849 = -169467*t for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/5 of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 - 0 - 1)\/(9\/288). Suppose -14*q + 9*q + b = 0. Suppose -4*f + 6*k - 4*k + 72 = 0, q = 4*f - 4*k. Calculate the remainder when 34 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2273*c**6*t + 2*c**3*t**3 - c**2*t**3 - 61*c*t**2 + 4*t**3 wrt c?\nAnswer: -272760*c**3*t + 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 21*t**2 - 14*t + 2. Let y(x) = -14*x**2 + 9*x - 1. Suppose 40 = -3547*d + 3555*d. Give d*w(a) + 8*y(a).\nAnswer: -7*a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9390 (b) -0.5 (c) -1\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 4 = -2*j - 15*k, -29 = 4*j + 3*k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 10 + 87*y - 87*y + (3*y**4 + 2*y**4 - 6*y**4)*(2 + 3 - 3) + 0*y**4 + y**4 - 3*y**4 + y - 2*y**4 - y.\nAnswer: -4*y**4 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {c: 19, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 16*s + 131 = 0, -20 + 63 = r + 5*s. Sort 4, r, 1, -42, -2 in ascending order.\nAnswer: -42, -2, 1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 510 in 1\/5, -0.441, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 226?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -153890, -153844, -153798, -153752, -153706?\n\"Answer: 46*l - 153936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29190 and 18480.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.5. Suppose -r + 6 = -2*r - 2*f, 5*r + 4 = 3*f. What is the smallest value in j, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m\/m**3*m*m*m*m**(2\/3)\/m*m\/(m*m\/(m\/(m\/m**(-3\/2))))*m*m**(-1\/5)*m*((m*m*m**5)\/(m*m**3*m))\/(m\/m**(1\/3)*m)**(3\/28) assuming m is positive.\nAnswer: m**(1591\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -32*f + 55*f - 26*f + 19. What is k(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**7\/v)\/v**(3\/7))**(-4\/7)*(v*v**(-1\/2))**(-2\/5)*v**(-3\/7)*v*v**(-1\/4) assuming v is positive.\nAnswer: v**(-3001\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15858 and 66.\nAnswer: 174438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 498434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1101*u - 6 + 6.\nAnswer: -1101*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 734 - 305. Is 33 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 5, -19, 6, 3, 0.125, 2.\nAnswer: -19, -0.1, 0.125, 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p = 22*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 506d2 (base 15) to base 9\nAnswer: 427308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 30 = -0*g - 5*c, -2*c = 2. Let k = -9 - g. Let f = 20.4 - 20.8. What is the nearest to 1 in f, 7, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2780 + 399*c**3 - 400*c**3 + 2293.\nAnswer: -c**3 + 5073","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*y**3 + 0 + 252*y - 156\/5*y**2 = 0.\nAnswer: 0, 10, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*t - 118*t + 827 + 820 = 0 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -587*x**3 + 9*x**2 + 15*x + 10. Let n(c) = -294*c**3 + 5*c**2 + 9*c + 6. Give -5*n(v) + 3*z(v).\nAnswer: -291*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27768187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*r**5 + 70*r**4 + 39*r - 9.\nAnswer: 880*r**3 + 840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 727 - 272. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-5)\/3 - (-10)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14140?\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-11))\/(86\/(-473))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**3 - 19*m**2. Let w(o) = -o**3. Give -p(s) + 5*w(s).\nAnswer: -10*s**3 + 19*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -20. Let g = s - -14. Suppose -q + j + 7 = -0*q, -2*j + 4 = 0. Solve q = p + 4*v, -6 = g*p - 4*v - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 - 17*b + 97. Let r be p(7). What are the prime factors of (6292\/(-13))\/(-11)*r\/8?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 29*t + 50. What is o(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 26 = h - 0*u, h - 5*u - 32 = 0. Suppose z - 33 - h = 0. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200439278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 235240646*n - 13834540382624329.\nAnswer: -(n - 117620323)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -224 + 228. Suppose -k*r = -4*t + 16, 8*t - 4*t - 5*r = 16. What is the lowest common multiple of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -3. Let l be (3\/d)\/(-1*1). Suppose 1 = o + 5, -l*o = 2*w - 8. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (408 - 472) + (-11 - -5 - -12)*(2 + -1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 26*f + f**2 + 52*f - 26*f - 67*f**3 to the form l*f**2 + s*f**3 + d + c*f and give s.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + 5*q**2 + 7*q - 2. Let i(g) = 299*g - 15555. Let b be i(52). Let t(z) = z**3 - 3*z**2 - 4*z + 1. Determine b*t(v) - 4*f(v).\nAnswer: v**3 + v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 3 (c) -25 (d) -14048.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19927650 divided by 6?\nAnswer: -3321275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -78 and 189372.\nAnswer: 189294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.067 times -0.127?\nAnswer: 0.389509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -422?\nAnswer: -5\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4977.817t in milligrams?\nAnswer: 4977817000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 277 (base 13) to base 14\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -2684045114?\nAnswer: 2684045114.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b + 3. Let s = -7 + 1. Let m be q(s). Solve 5*u - 15 = 0, -7 = -4*n + 4*u - m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -303\/745 - -1\/149. What is the nearest to -9 in 2, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8058 is divided by 4798.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 73*m + 7398. Calculate the remainder when 604 is divided by z(-101).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3627?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from iffrmrfgftrimfrfrfr?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -58*w + 5. Let v be r(-2). Let k = v - 119. Let f(i) = 2*i**2 - i - 2. Let c(g) = -g**2 + g - 1. Let u(t) = c(t) - f(t). Give u(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 7957.42 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 22 + 5 = 4*i, 5*i = 5*m + 30. Sort -1, 2, -1\/2, -0.04, i.\nAnswer: -1, -1\/2, -0.04, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from ffffbffbfffffbffffb?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 9 + (1 - -2 - (-17 - -17))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.1, 0.04, -7.22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -1. Suppose 5*k - 880 = -5*q, -4*q = -2*k - 3*k + 916. Let r be (1\/(-1))\/2 + 70\/k. Is r equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppw when four letters picked without replacement from pppppwppwpwppppppp.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261830552 and 1923?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 27 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - 2*c**2 - 7*c**2 - 5*c**2.\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 77*y + 70. Give k(2).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.16 - -7.1. Put o, 0, -0.3 in descending order.\nAnswer: 0, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 640.\nAnswer: 640.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 25\/2 of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -15*o**2 + 4*o. Let t(z) = -z. Determine t(c(b)).\nAnswer: 15*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3175 + 0.47508824\nAnswer: 3175.47508824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 5*k**2 + k**2)*(245 - 4 + 2*k**2 - 50).\nAnswer: 8*k**4 + 764*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z + 3. Let i(l) = -7*l + 10. Give 6*d(g) - i(g).\nAnswer: g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o + 39*o = 3*f - 1, 4*f = 5*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z - 2. Let d be f(5). Let c be d - (14 - (3 + 1)). Does 14 divide 3*(-5 - 1)*c\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 87*o - 1216. Let d be p(8). Is d less than -512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 31*d + 1. Let y be a(-1). Let z = 22 + y. Let m(x) = 7*x**2 + 12*x + 13. Is m(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 6337899.\nAnswer: 19\/6337899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5 - 164*z**4 + 2262*z**3 + 2764*z**2 - 4864*z = 0. Calculate z.\nAnswer: -2, 0, 1, 19, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -333*l**3 + 1 - 234*l**2 + 114*l**2 + 118*l**2. Let m be b(-1). Suppose 5*p - 1363 = m. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1777.425 * -0.9.\nAnswer: -1599.6825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3.2. Let k = 3.4 - 3.1. Let f = k + w. Is f at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127803 is divided by 47?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/30 and -187\/930.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -247 + 248. Calculate the smallest common multiple of 64 and (v + (-2 - 3))\/(5\/(-100)).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - -4.4. Let s = -10 + x. Let q = 8\/3 + -7\/3. Sort -2\/7, q, s in decreasing order.\nAnswer: q, -2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7a8d + -24a?\nAnswer: 7843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 521 - 341. What is the remainder when u is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*l + 54 = 18, 0 = 5*w + 2*l + 39. Let n be ((-12)\/w)\/(6\/(-9)). Put -1, n, 2 in decreasing order.\nAnswer: 2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 - 25*g**2)*(5*g - 4*g + 3*g).\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 12\/25 of a tonne?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**4*j - 11*h**4*n**2 - 4*h**3*j*n + 535*h**2*j*n - 2*h*j*n**2 - 2*h wrt h.\nAnswer: -120*h*j - 264*h*n**2 - 24*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -41. Let y(h) = -7*h**3 + 1. What is y(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, c: 1, j: 3, i: 1}. Give prob of sequence mj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -34. Suppose -7*m + 24*m + 68 = 0. Put w, -0.3, 0.4, m in ascending order.\nAnswer: w, m, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -5\/4 (c) 1.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -479 in decreasing order.\nAnswer: 0, -2, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*j + 9, -2*j = -6*j - 2*d - 6. Suppose j = 3*r - r - 6. Suppose -r*s + 121 = 2*i, -3*i + 183 = 5*s - 19. Is s a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1028 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16595562 divided by 6\nAnswer: 2765927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-15))\/(1\/(-3)*6*(-1287)\/2730)\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-2)\/(-2) + (-3403)\/(-697)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 - 2*y**2 + y. Let t be 1\/(3*1\/6). Suppose -p - 3 = 2*n, p = t*n + 2*n + 9. List the prime factors of f(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 + 4 - 3*r**3 + 6*r**3 - 2*r**2 to d + b*r**2 + h*r**3 + l*r and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - b - 340 = 4*b, -5*b = 0. Suppose -4 = -4*l - 472. Let m = f - l. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - z = 0, 0 = -2*c - c + 2*z. Let h = 3 - c. What is the units digit of 24\/4 + (1 - h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 54490 = 22898. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 361652283 and 2133?\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -69. Let b = 57 + s. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4736 + -4736.2. Suppose o = -g, 0 = -4*o + 5*o + 5*g - 8. What is the second smallest value in f, o, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 241*n - 4 = 237*n, -2*k = n + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(68) + -1 + -4 + 6*(sqrt(68) + 1) + 3)**2.\nAnswer: 336*sqrt(17) + 10044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560662 (base 7) in base 6?\nAnswer: -4345552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 9:20 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 9247.\nAnswer: 9217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 420*t.\nAnswer: -4*t*(t - 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 6 + 6 + -1 - 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-16)*4\/18.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*t**3 + 7*t**3 - 21*t**3 + (-4*t - t**2 + 4*t)*(t - 4 + 4).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4594)\/(-952) - (-30)\/(-40). Let q = 62\/17 - l. Sort 0, -3, 1.4, q in ascending order.\nAnswer: -3, q, 0, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.106 - 2.706. What is the smallest value in 3, 1\/3, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 77)*(-5922)\/235. Let v(k) = b + k - 2*k + 2*k - 1889. Suppose y + 24 = 5*o + 2*y, -o = 5*y - 24. Determine v(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039042162 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-104))\/((-93)\/62)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.895 - 0.195. Let c = y - 0.2. Put -3, -1\/5, -2, c in increasing order.\nAnswer: -3, -2, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1. Calculate the lowest common multiple of 5 + -9 + r + 12 and (-2)\/11 - ((-195)\/(-55))\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-1.4.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-243)\/10692)\/(2\/(-11)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -133\/4, -0.04, 0.\nAnswer: -133\/4, -0.1, -0.04, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 2 = 3*s. Let o(c) = -s*c**2 + 3 + 4*c**2 + 10*c + 10. Let z be o(-11). What is the greatest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 138 = 126. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 8*i**2 + 3. Let k = -20 - -28. Let d be o(k). Solve d*l + 2*z + 0*z = -7, 3*l + 4*z + 17 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 6:16 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/4 + (-57)\/(-12) + -2. Suppose 2*m - o = 2. Calculate the common denominator of (6102\/(-16))\/(-9)*m\/21 and -97\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2347 + 2349. Let u(d) = 21*d**3 - 2*d**2 + 2*d - 2. Let s(o) = o**2 - o + 1. Determine r*s(g) + u(g).\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 0.04 (b) 14 (c) 1\/4 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 9*q + 17. Let r be w(7). Solve -4*c = 4*h + 4, -r*h = 5 - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119*m*s**2*t**2 + 733*m*s**2 + 12*m*s*t**2 + 2*m*s*t + 4*m*t**2 + 3*m*t - 3*m + 43*s*t**2 wrt s.\nAnswer: -238*m*t**2 + 1466*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1135957\/51 + 4\/(-6). Let h = q - 40873. What is h rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33323013 (base 4) in base 6?\nAnswer: 1221543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.62 * 35.822\nAnswer: -22.20964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 305 = j - 370, -2*j + 1347 = -c. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -20121211?\nAnswer: 20121221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-3))\/((-33)\/66))\/(16\/56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11077*w - 526213*w**2 + 11077*w.\nAnswer: -526213*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9a5696 (base 13) in base 4?\nAnswer: 31320201021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -8. Sort j, 1\/10, -0.5 in ascending order.\nAnswer: -0.5, 1\/10, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**8\/6720 + q**7\/504 + q**4\/12 + q. Let m(a) be the third derivative of u(a). Give m(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -63*a - 4. Suppose r + t - 71 = 0, 181 = r - 3*t + 78. Calculate the remainder when x(-5) is divided by r.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11835 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o**2 - 5*o. Let x(p) be the second derivative of p**3\/3 - 110*p. Calculate j(x(i)).\nAnswer: -40*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (5 - 6) - 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 503 - 485. Suppose m*z - 2932 - 6788 = 0. Does 36 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -797*o**2 - 5592*o - 97. Calculate l(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(1008) - 5*(1 + sqrt(1008)) - (-1 + sqrt(1008) + 1 + (1 + -1 + sqrt(1008))**2).\nAnswer: -1013 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -155 - g**2 - 4149*g - 4149*g + 8283*g to f*g**2 + m*g + s and give s.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**4\/4 - 5*p**3\/6 - 5*p**2\/2 + 7*p. Let a(u) = -u**2 + 7 - 3*u + 10*u + 5*u**2. What is -5*a(n) - 7*k(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:35 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = 4*g - 312*y + 341*y, -g - 2*y + 6 = -0*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0, -3133, -1\/8, 5, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/12 and -23\/154026.\nAnswer: 308052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 2*b + 4*r + 37 + 21, -3*b + r = -112 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/4 + 3\/(-2). Let o be (5\/u)\/((-4)\/(-8)). Suppose -o = -5*m, -3*g + m + 3 = -g. Solve -k = -g*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 37723160\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**5\/8 + 9*n**4\/8 - 27*n**3\/4 + 3*n**2\/2 + 9*n = 0.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*s - 126, -2*m + 68 = -4*m + 4*s. Let r = 23 - m. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + f = -14, 9*w = 15*w + f + 16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242961946?\nAnswer: 2, 621480973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*j = -5*y - 92*j - 15, -3*y - 20 = j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1555 - -1565. Solve 12 - d = -2*k + 2*g, 0 = -k + 2*g - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n = -13*n + 3*m + 65, -m = -n - 1 + 2 - 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4173*u + 3264*u**2 - 5302*u - 5446*u + 2817*u**2 wrt u.\nAnswer: 12162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 1751*v**5\/60 - 983*v**4\/12 - 1145*v**2. What is the second derivative of m(g) wrt g?\nAnswer: 3502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-6))\/((-1738)\/474)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -5 (c) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 4, 0 in decreasing order.\nAnswer: 4, 1, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -1878.\nAnswer: -1878.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 82\/139 (b) 1\/9 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 + 318. Which is smaller: p or 231?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50.176 - -6.034. Let w = 57 - z. Let y = -0.21 - w. Which is greater: y or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1660 and 236?\nAnswer: 97940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 1.3323?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/24 and -19\/2100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*d + 43 + 63 = -279*d + 266 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1534 = 2*j, -2*j - 38 = -v + 476. Suppose -6*k = -88 - v. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**3 + 132*f**2 + 44*f + 234. Give p(-26).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 19 + 35. Solve i*t = 20, -3*f - 3*t + 21 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -39*b**3 - 153*b**2 + 7*b - 5. Let z be r(-4). Let h(s) = 2*s**2 - 34*s + 56. What is h(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:21 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**7\/105 + f**6\/120 + f**5\/2 + 15*f**2 + 1. Find the third derivative of j(m) wrt m.\nAnswer: 48*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 12*t - 10. Calculate the least common multiple of t and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1, 1\/5, -2, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 652508758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3296, 3 in descending order.\nAnswer: 3296, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146283152 or 146283155?\nAnswer: 146283152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 19*u**4\/12 + u**3\/3 + 3*u**2 + 7*u. Let r(a) be the first derivative of b(a). What is the units digit of r(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**5 - 390*f**4 - 1994*f**3 - 1210*f**2 + 1992*f + 1600 = 0?\nAnswer: -4, -1, 1, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*f - 70 = -4*d, 2*f - 8 = 0. Suppose x - d = -2*x. Solve 5*i = 6 + x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5148509 - -5148510.30000025. Let f = 1.3 - w. Round f to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353206 times 3?\nAnswer: -1059618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32057, 32151, 32227, 32291, 32349?\nAnswer: 32407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 13*a + 15. What is j(-12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -463*x - 856. Is o(-69) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 3. Which is the second biggest value? (a) t (b) 0 (c) -4 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.9 and 65.\nAnswer: 89.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 11*h = 10*h - 92, 3 = 3*h. Suppose -l = -5*z + 9. Solve 0 = -m - 4*y - 6, -z = -8*m + 3*m - y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(561)\/(-2*sqrt(11)))\/(sqrt(9)\/(2*sqrt(3))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 737 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 218, 228, 244, 266, 294, 328?\n\"Answer: 3*t**2 + t + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5783573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4239*u**3 + 21*u**2 + 5 wrt u.\nAnswer: 25434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00081 rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 4*n + 6. Does 10 divide 29 + n + 5 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 4*y**2 + 4*y**2 + 4*y**2. Let a(w) = -2*w**3 - 5*w**2. Let b(z) = -3*a(z) - 4*t(z). What is the third derivative of b(d) wrt d?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108860, 109183, 109506, 109829, 110152, 110475?\nAnswer: 110798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192462 and 1116.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7771, 7777, 7783, 7789?\n\"Answer: 6*d + 7765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17996, -71998, -162032, -288128, -450316, -648626?\n\"Answer: -5*r**3 - 17986*r**2 - 9*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -1 - 1 - -2. Let r = 3 + j. Suppose -t + r = -4. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:53 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(5*z**5 - z**5 - 2*z**5) - 408*z**5 - 502*z**5 + 984*z**5 + (z + 2 - 2)*(-z**3 + z**3 - z**4).\nAnswer: 77*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38a473 (base 13) to base 11.\nAnswer: -852697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -375*g + 5669. Give l(8).\nAnswer: 2669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 97 (b) 2 (c) 3 (d) 0.5 (e) -143\/9 (f) -0.04\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 71 = -3*c, 0*c + 36 = 2*p + 2*c. Suppose 2*t - 8 = 10. Calculate the remainder when p is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 964927.\nAnswer: 964927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 - p**2 - p - 1. Let s be j(-1). Suppose s*l = 2*b - 4140 - 1708, -b = 4*l - 2909. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 9:55 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 531406 - 165773. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 31\/2 of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*b - 36*b = 3204. Let o = 1091 - b. What are the prime factors of o?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39967*p**4 - 31*p**3 - 87*p + 20484?\nAnswer: -479604*p**2 - 186*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -335 + 322 - (0 + -11).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*g + 3 = -3, -2*g - 6 = 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1003000 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 12 = -12*g. Let h(i) = -6*i**3 - 2*i - 1. Let t be h(-1). Solve -t - 13 = g*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 3. Is 120 + (1 - (0 - i)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1372 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/35*5*(-36)\/162.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-2 + 4) + 29. Let f = j - 6. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 556 and 8?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -22*b. Suppose 3*v - 5 = -4*o - 2*v, -4*v + 4 = 3*o. Suppose o = -2*z - 6 + 18. Let c(h) = -z*h - h + 5*h. Calculate i(c(p)).\nAnswer: 44*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 times 0.724\nAnswer: -0.9412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g**2 + 3*g - 4. Let s be l(1). Let p = -6 + s. Is -2\/67 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from mmqmmqmm?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*q - 30 = -65*q. Sort 23, 0, q, -3 in descending order.\nAnswer: 23, 0, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 10*t + 328, t = -0*p - 2*p - 41571 + 41531 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/3)\/(2\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, b: 8, q: 4}. What is prob of picking 3 q?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*i - 4*i + m, -3*m + 1 = 5*i. Let c be (i\/15)\/(28\/(-20)). Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8\/(g*g\/(g**(6\/7)\/g)*g))\/(g**(-2))**33*(g\/(g\/((g*g\/(g**0\/g)*g)\/g*g*g)))**(-3)\/((g*g*g\/(g**(1\/2)*g))\/(g**(-4)\/g)) assuming g is positive.\nAnswer: g**(691\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -46*l**2 + 45*l**2 + 0*l + 0*l + 2. Let s(b) = b - 5. Let j be s(7). Let y(p) = -3 + 3*p**2 - 4 + 0. Give j*y(x) + 7*k(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 52134, 52133, 52132, 52131, 52130?\n\"Answer: -f + 52135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 - 7*z + 6. Let r be q(2). Solve 0 = 5*y + r - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 2757.2594?\nAnswer: -2757.1594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 + 64 = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**3 - 7*u**2 - 13*u + 1. Let z(l) = 25*l + 3*l**2 + 15*l**3 + 28*l + 32*l - 13*l**3 - 79*l. What is -3*q(v) - 7*z(v)?\nAnswer: v**3 - 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 28 + 26 - 54 - 88*r**2. Let z(p) = p**2. Calculate z(f(k)).\nAnswer: 7744*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 7*i + 25. Give a(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11104310*i**2 - 1778*i + 14090.\nAnswer: 22208620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8221?\nAnswer: 8221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.1, -0.267, 0, 1770?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 51.5167348 and 215694.\nAnswer: 215745.5167348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 100111010011001001011 (base 2) in base 7?\nAnswer: 13642250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -668 + 327. Let w = -2389\/7 - z. Let v = -211\/4 + 53. Which is the nearest to w? (a) 2\/7 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1219341200 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -6*y + y. Suppose -7 = -3*k + 2. Suppose -7*x + 2 = -c - 2*x, k*x = -c - y. Let n(h) = h**3 + 4*h**2 + 2*h - 2. What is n(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143907972 divided by -4?\nAnswer: 35976993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p - 0*p. Put -3, p, -1 in ascending order.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 + 143 = 10*f. Let q = -35 - f. Solve 2*j - q*z = -8*z + 15, 2*z = 4*j - 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1986 greater than or equal to 690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {r: 1, a: 1, t: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l**2 + 4*l - 1. Let k(h) = -6*h**2 - 5*h + 1. Let s(p) = 5*c(p) + 4*k(p). Let f(a) = 2*a. Give s(f(b)).\nAnswer: 44*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 157\/3. Suppose -4*d - 3*r = 6, 0 = -334*d + 331*d + 4*r - 17. What is the closest to q in d, -1\/11, 3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 126810 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*w**2 + 55*w**2 + 0*w**2)*(2*w**3 - 6 - 6*w**3 + 3*w**3).\nAnswer: -85*w**5 - 510*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - (5 + -3 + -4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1416?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14973 divided by -651.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 27 = 3*k, 4*h = 5*k - 6 - 3. Let b = k - -2. Let r = b - -2. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 3*n**3 + 0*n**2 + (3*n - n + n)*(2*n - 2*n + n**2) - n**3 + n - n + 3*n**2 - 2*n**2 - 3*n**3 - 3*n**2.\nAnswer: 2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2 = x, 8*n = 3*n + 5. Let y = 25 + x. Which is bigger: 18 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(119) - sqrt(119)))\/(sqrt(7) + sqrt(7) + (sqrt(343) - (sqrt(343)*-2 - sqrt(343)))).\nAnswer: sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12220012200221 (base 3) to base 9\nAnswer: 5805627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4173883.\nAnswer: 7, 29, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (-16 + -1))*1. Calculate the highest common divisor of f and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 3*g + 21 = 0, g = -0*m + 4*m - 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(3*3\/(-168)). Let m be (2 - (h + 3)) + -1. Let b = -117 - m. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 146*r - 4207. Let m be c(29). Solve -m + 27 = 19*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2\/3 - 1613575*g\/3 + 537858 = 0.\nAnswer: 1, 1613574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16885 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -35 + (-4 - (2 + -8 + -9))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5544 and 3198195.\nAnswer: 25585560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 12:33 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1 = -6, -53 = -3*u + 2*w. Let i be (-19747014)\/(-49) + (-6)\/u. What is i rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -366, -598, -832?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7745 (base 9) in base 4?\nAnswer: 1121033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029895 rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f*(f*f**12)\/f*f*f*f))\/f**10)\/((f\/(f*(f*(f\/(f\/f**12))\/f)\/f)*f*f)\/(f*f\/f**(-1\/12))))**(19\/4) assuming f is positive.\nAnswer: f**(-3401\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*s + 73*s + 11*s)*(9*s**2 + 35*s**2 - 14*s**2).\nAnswer: 4620*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -0.2 (c) -2\/11 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/527? (a) 1\/3 (b) 1.5 (c) -2\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9*f - 39. Let j = -865 + 945. Calculate the lowest common multiple of j and n(-7).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b - 7 - 11*b + 9*b - b**3 - b**2. Let k(h) = -h**3 + 6*h**2 + 14*h + 11. Let w be k(8). What is the units digit of f(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3715, -3685, -3655, -3625, -3595, -3565?\nAnswer: -3535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-279)\/(-18))\/(((-1)\/2)\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6774 and 9032.\nAnswer: 27096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-35*m**2 - 14*m**2 + 13*m**2)*(m - 3*m + m)*(2*m**2 - 2*m**2 + 2*m**2).\nAnswer: 144*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 15 + 1 = -3*a, -5*s + 12 = 2*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g - 1. Let u(c) = 10*c + 1. Let y(d) = -7*i(d) - 5*u(d). Let f be y(-3). Let m(p) = 1 - 7*p**2 - 3*p + 8*p**2 - 2*p. Calculate m(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-4)*4\/5. Let a(t) = 3*t - 9. Let y be a(4). Let k(g) = g**y + 0*g + g - q*g - 1. Determine k(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h + 3. Let k = 23977 - 23980. Let v(n) = -2*n - 2. Calculate k*j(q) - 2*v(q).\nAnswer: q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 1622906?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**20)**(-1\/6)*(x**(-5\/9)*x)\/((x\/(x**(-44)*x))\/x) assuming x is positive.\nAnswer: x**(-829\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 19211, 464 in descending order.\nAnswer: 19211, 464, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1285*a - 1280*a - 1286*a + 5118*a - 1271*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*2 + (-2)\/((-20)\/24890). Let l = y - 2. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11\/22)\/((-2)\/4) + -14. Let w be o\/(-9) + (-308)\/(-42). Calculate the highest common factor of 141 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 212 and 12.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/((-3135)\/(-220))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 6*n + 8. Suppose h = -0*h - 9. Let g = h + 3. Let s be v(g). Solve s = 2*c - 6*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -314, 103051, -4.\nAnswer: -314, -4, 103051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1086*x**2 - 1063*x**6 - 1 + 138*x**2 - 166*x**2 wrt x?\nAnswer: -127560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(4\/3))**(-18\/5)\/(x\/(x\/((x**(2\/27)*x)\/x))*x**(-7\/2)\/x) assuming x is positive.\nAnswer: x**(1519\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1126, -1128, -1130?\n\"Answer: -2*r - 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -1736.6?\nAnswer: 1736.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.5. Let l be (-9)\/(-18) + (-13)\/(-2). Let c = -7 + l. What is the second smallest value in x, c, -0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) 5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 6.6. Let h = d - 0.6. Which is the closest to -2\/7? (a) -0.1 (b) h (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1476, 6154, 13952, 24870, 38908?\nAnswer: 56066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4262*r + 231. Is w(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-318)\/(-27) + (-4)\/(-18). Suppose 3*w = -9 + y. What is the least common multiple of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 1886 = 1892 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17243*-0.05521\nAnswer: 951.98603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = -4. Solve y*v - 5 = 5*v, 27 = 3*d - 3*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-q**4 - 3*q**2 + 3*q**2) + (-15*q**3 - 39*q**3 + 13*q**3)*(-6*q - 25*q + 18*q - 2*q + 6*q - 2*q + (2 - 4 + 0)*(-2 - q + 2) + 2*q - 1 + 1).\nAnswer: 286*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8444.5527 and 12.67.\nAnswer: 8457.2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9760.65 years in decades?\nAnswer: 976.065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011 + -110101110100000000001101?\nAnswer: -110101110100000000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - k + k + 3 - k**2 - 3 + (0*k + 2*k - k)*(0*k + 0*k + k) - 3*k**2 + 3*k**2 - 2*k**2 - 2*k**2 + 3*k**2 + k**2 - k**2 - k**2 + 0*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*m**2 + 966755*m + 120845.\nAnswer: -5*(m - 24169)*(8*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*p + 104, -5*s + p = 2*p - 124. What is the second derivative of -13*x + 5*x - 17*x**4 + 0 - s*x**4 + 3 wrt x?\nAnswer: -492*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -19 - -3 - -10) + 37\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3. Let o(c) = -3*c - 19. Let k be o(-7). Suppose z*y - 765 = -4*g + 3*y, -3*y - 375 = -k*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-405)\/(-145530)*66)\/(45\/42)\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 729 by 592.\nAnswer: 729\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49918911?\nAnswer: 3, 7, 701, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 - 19*q**2 + 0*q**2 + 14*q.\nAnswer: -9*q**2 + 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372860 divided by -186430.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -544 + 532. Let c be (6\/20*v)\/(2\/(-5)). Let s(d) = -d**2 + 8*d - 2. What is s(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c - 4*c**2 - 16*c - 7*c.\nAnswer: -4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 31 = 3*g, 4*y + 30 = -g + 3*g. Let d be 23\/161 - (-717)\/y*-2. Suppose -60*p + d = -55*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 19. Let t be z(-13). Let y be (-3)\/6 + 3\/t. Put y, -6, -4 in decreasing order.\nAnswer: y, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 + -1.45. Let y = v + 1.67. Let i = 2.7 - y. What is the second biggest value in 0.5, 0.1, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (1 + 2\/4)*2188\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/11 - 10\/(-330)*-39?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**3 + 5*l**2 + 6*l - 5. Suppose -c + 3 = 5. Let i = 53 + -43. Let m(d) = d**2 + d - 1. Calculate c*v(y) + i*m(y).\nAnswer: -4*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7994\/(-11991))\/((-7)\/(-87)).\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -3, -0.6, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -8, 33, -4 in decreasing order.\nAnswer: 33, -1, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 7*l**2 + 11*l - 24. Let p be j(8). Let p + 2\/5*h + 2\/5*h**3 - 4\/5*h**2 = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498668?\nAnswer: 2, 59, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ftgsgogkttkgg. What is prob of picking 1 o, 1 f, and 1 s?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(13) - (sqrt(91)*1)\/sqrt(7) - (-1*sqrt(130))\/sqrt(10)))**2*-2.\nAnswer: -58 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32152 by -2.\nAnswer: -16076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*p - p, l - 134 = -4*p. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67.23504657 + 68.205047. Let x = g - 0.97. Round x to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/6 + 7*d**4\/24 - d**2. What is the second derivative of i(y) wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1472053\/7 - -211540. Let f = a + -1244. Find the common denominator of (-81)\/(-6)*6\/21 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 2*p**2 - 11*p - 30. Let z be j(-3). Suppose 185200 = -46*x + z*x. What is x rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*f = 1105647, -36*o + 39*o - 5*f - 1105587 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 621 - 323. List the prime factors of g.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 7*t**2 - 9*t - 4. Let g be x(-6). Let s = -5 + g. What are the prime factors of s*(16\/(-12) + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 7*f**2 + 7*f - 15. Let r(l) = 3*l**2 + 56*l - 13. Let y = -669 - -650. Let z be r(y). Calculate u(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuu when three letters picked without replacement from uuvvquu.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + f**5 + 2 + (f**5 + 0*f**2 + 0*f**2)*(-3 - 1 + 3) - 10*f**5 + 5*f**5 - 2*f**5.\nAnswer: -7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5536 and 1557.\nAnswer: 49824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/g)**25*g**(-2)\/(g*g**(1\/2)*g) assuming g is positive.\nAnswer: g**(-159\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*x - 266 - 252 = -478*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-23))**(1\/22) assuming a is positive.\nAnswer: a**(-23\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 202010?\nAnswer: -202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -3 - (1 - 7). Let i(l) = -4 + 1 + 1 - 1 + 4*l**2 + p*l. Suppose 113*f - 116*f = -6. What is i(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/6*914*5\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2 (c) 138 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -222 * -3.07.\nAnswer: 681.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, g: 9, m: 2}. What is prob of sequence ggg?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.011817 - 29.371.\nAnswer: -4.359183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45013 + 40100?\nAnswer: 125113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 73088 to the power of 1\/2, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - 0) + (-2 - -54 - (2 - -10))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-208286)\/(-130) - (-4)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - -0.94. Let o = -2230.99 + 2231. Let s be ((-4 - -3)\/1)\/9. What is the closest to 0 in o, s, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*l - 2222 = 113*l - 8612 for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6227663 to the nearest integer?\nAnswer: 2496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1636 - 912. Let z = 1047 - o. Is z a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282 and 63370053.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*h - 28 = 0, 59*h - 64*h = 5*q + 65. Let z be (0\/(-2 + -1))\/(-1). What is the third biggest value in q, z, 2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29.9 and 2805.\nAnswer: 83869.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w - 52. Let o be u(8). Which is the biggest value? (a) o (b) -5 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -3\/5 (c) -8\/5 (d) -3\/16 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1683509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -110\/9*x + 0 - 2\/9*x**2 = 0.\nAnswer: -55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 50, 206, 508, 1004, 1742?\nAnswer: 2770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -115*j + 1. Let b be t(1). Let c be (-1)\/(1 + 112\/b). Let n = -38 - c. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1.5. Let z be (-28)\/70 - 218\/(-10). Let x = z - 759\/35. Which is the closest to x? (a) p (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/11, -2, -13, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4 - 2 - 3*n + (0*n + 5*n - 4*n)*(-1 + 0 + 3).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -2\/13, -96\/781, -1?\nAnswer: -96\/781","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)*3*-6)\/(sqrt(7) + (sqrt(7) - (sqrt(1008) - 2*sqrt(1008)))).\nAnswer: -9*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -19, -26, 10338, 4 in ascending order.\nAnswer: -26, -19, -3, 0, 4, 10338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 8. Let w = q - 28.6. Let p = w + 2.3. Sort 6\/11, -3, p in decreasing order.\nAnswer: 6\/11, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.664 + -0.336. Which is the second smallest value? (a) n (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66 - 106 + 0)*(2 - 3 - 2)*(-3 + 1 + 1)*(3*z + 1 - 1) to the form v + l*z and give l.\nAnswer: -1548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeppeeepettpe. Give prob of sequence eppe.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 3*o**2 + 0*o**2)*(998*o**2 + 4280*o**2 + 4839*o**2).\nAnswer: -20234*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 53076 to the nearest one thousand.\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 391 = 3*c. Let b = 218 + c. List the prime factors of b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*2)\/sqrt(6)*-4*2)\/(sqrt(55)\/(sqrt(5) - (sqrt(15)\/sqrt(3) - sqrt(5))) - (sqrt(275) - ((sqrt(275) - -1*sqrt(275)) + sqrt(275))))*-5)**2.\nAnswer: 12800\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**3 - 1. Let d be b(-1). Let k = d - -3. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-95)\/(-57))\/((-120)\/(-45)*(-15)\/(-360))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 129?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 174831, -1, 4 in increasing order.\nAnswer: -1, 4, 17, 174831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 64*z**2 - 5*z - 739. What is g(-64)?\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746 - 151 = -69*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 589158182 to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -643845 or -31548420\/49?\nAnswer: -31548420\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -67 - -68. Put -0.4, d, -0.04, 0.3 in descending order.\nAnswer: d, 0.3, -0.04, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*a*f**3 + 3*a*f**2 - 207*a - 85*f**3 - 22*f + 5 wrt a.\nAnswer: 23*f**3 + 3*f**2 - 207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1522 = 3*y + 317, 0 = 5*d + 2*y - 3037. Calculate the highest common factor of 105 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 39, 57, 73, 87?\n\"Answer: -m**2 + 23*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1384 is divided by 73?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-eight fifths of a meter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeheeeeeeeeh. What is prob of picking 2 e and 1 h?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -430*c + 434*c, 2*c - 6 = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(31 - 1))\/(580\/696). Which is the smallest value? (a) 2\/7 (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l + 8. Suppose -2*n + 0 = t - 2, -t + 20 = -4*n. Calculate the smallest common multiple of t and y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 762 - 760. What is the second smallest value in d, 0.02, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3256762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**2 - 3*u**2 + u**2)*(4 - 4 + 2*u) - 1 + 2*u**3 + u**2 + 2*u**2 - 7*u**2 to l*u + j*u**3 + y*u**2 + t and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/109610 and 73\/7950?\nAnswer: 87139950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -371433\/128 less than -2903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/3 - 64*a**2 - 126*a - 188\/3 = 0. Calculate a.\nAnswer: -94, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 + -16. Let p = 839 + -777.9. Let j = h - p. Round j to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = -13*a - 63. Let l = a - 50. Let k(i) = i**2 - 14*i + 40. Is k(l) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + w - 11. Let k be l(0). Let a be 2\/4 - k\/(-2). Let t be a\/20 + (-3)\/12. Which is smaller: 0.2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lllzllz?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/77100 and 67\/7000.\nAnswer: 5397000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 8*p**2 + 48*p. Let f be r(-4). Solve f*a = 4*o - a + 32, -5*o - 47 = -3*a for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 8:54 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24103 rounded to 3 decimal places?\nAnswer: -0.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 12*l + 2*l)*(15 + 22 - 15)*(0 + 2 - 1).\nAnswer: -220*l - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 495781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.20304061 rounded to one decimal place?\nAnswer: 35.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -f6 (base 16) in base 3?\nAnswer: -100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 7*n - 10. Let d be k(-9). Let g = d - 6. Solve -2*l + 18 = -g*i, -5*i - 40 = -3*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562 (base 9) in base 3?\nAnswer: 1122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l - 2*l = -220. Let f = l - -85. Suppose 4*j - 34 = 98. Calculate the remainder when f is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21322, 85571, 192636, 342505, 535166?\nAnswer: 770607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzbw when four letters picked without replacement from {n: 3, b: 7, w: 2, r: 1, z: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 78 + -52 + (-51 - (-3 + 13))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 5*b + 9, -4*b = 2*a - 2*b - 14. Suppose -g - s = -7, -14*s = -2*g - a*s - 6. Solve -4*p - 4 = -3*n + 6, g*n - 5*p = 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 29*i + 6. Let z be ((-16)\/(-28) - (-10)\/7)\/(6\/51). Let b(p) = 87*p + 17. What is z*y(f) - 6*b(f)?\nAnswer: -29*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/7, -0.2, 7, -1, 1\/4823, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-8))\/(165*(-6)\/(-216))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 3)*(2*a + 0*a + 0*a) - 3 + 2*a + 3)*(39 - 9*a - 39).\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2\/3, -3\/2.\nAnswer: -3\/2, -2\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3*(7 + -13). Let u be -73*5*2\/(-5). What is the common denominator of i\/(-8)*u\/3 and 45\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (sqrt(1900) - ((sqrt(1900) - (sqrt(1900) + -2)) + sqrt(1900))) + -4 + -3)**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/1560 and 6\/13741.\nAnswer: 1648920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5658312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/12*(377\/(-381) + 1). Let u = -137\/1905 + f. Which is the biggest value? (a) -1\/6 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(4\/1))\/((-14)\/(-28))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g - 2 - 9 - 21 + 27 + 2*g**2. Let d(s) = s**2 - 4*s - 4. Let n be -6 - 9 - (-1 + 1). Let j = n - -11. Give j*p(o) + 5*d(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 764 - n**2 + 8*n - 1525 + 761 = 0. What is n?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2371\/21 - -113. Let b = -2.5 - -3. What is the nearest to -0.1 in b, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57989 by 57989.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.132? (a) 0.2 (b) -3\/10 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(6*3\/990). Suppose 0 = -20*o + 23*o - b. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 2\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 1757147*j - 1757147*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 5*w. Let x be (-4)\/4*3\/3. Let l be (x\/2)\/(14\/140). Let t(y) = -3*y**2 - 6*y. What is l*t(z) - 6*h(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -116.\nAnswer: 19\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/75, 0, -11\/6, -0.78 in descending order.\nAnswer: 0, -1\/75, -0.78, -11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 2*n = 56. What is the second biggest value in 104, 1\/3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-16)\/m*m\/m**(-12)*m)\/(m**(-5))**20 assuming m is positive.\nAnswer: m**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -58*j - 53. Let y be u(-1). Let r be -6*6\/(-27)*3. Is (r\/6)\/((20\/1194)\/y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3834.878kg?\nAnswer: 3834878000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(720)) - sqrt(720))**2.\nAnswer: 144*sqrt(5) + 6484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 146204 (b) -2\/15 (c) -0.5 (d) -64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3294778 is divided by 3294698.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 13*42.071907\nAnswer: 546.934791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20935*b**2*v**2 - 503*b**2*v - 968*b**2 + 2*v**4 wrt v.\nAnswer: 41870*b**2 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 5. Suppose 4*f = -7*i + 4*i + 2, 5*f - 4*i - 18 = 0. Suppose f*v - n - 5 = 0. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14419804 is divided by 614?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -53*v**3 - 2*v**2 + 1. Let g be x(1). Let s be -6*(g\/(-12) + -5). Suppose -31*u = -34*u + s. Solve -3 = -2*d - u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**3 + 825422*y**2 + 34066238988*y + 13626363528 = 0?\nAnswer: -82542, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 65.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 + 11 + (-10 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 5:58 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 381618 divided by -2\nAnswer: -190809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 531 + 539 = 0. What is the second biggest value in 6\/11, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 1254*o - 1251*o - 45 = 0, x + 4*o - 40 = 3*x - 0*o for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -15*g + 30. Let s(z) = -z + 7. Let c be s(17). Let d be l(c). What is the highest common divisor of 40 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15113.\nAnswer: 7, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t + 5*t**2 + 14 - 2*t**3 + 7*t**2 - 12 + 6. What is g(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p - 3. Suppose 5*h - 27 = 3. Let b(f) be the first derivative of 3*f**2 + 4*f - 33541. Determine h*b(w) + 7*u(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -407 + 732. Suppose 5*r = 4*q + 1657, -r - q + 5*q = -h. List the prime factors of r.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**2*y**2 + g**2*y + 2*g**2 + 2547773*g*y + 4*y**5 - 1107436*y**2 wrt y.\nAnswer: 8*g**2 + 80*y**3 - 2214872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 36 - 16. Solve 0*d - 4*q - 2 = 2*d, -5*d - y*q - 11 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(160)\/sqrt(2) + (0 + sqrt(245))**2 + sqrt(5) + (1 + sqrt(5) + -3)**2 + -2.\nAnswer: sqrt(5) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {d: 5, v: 1, e: 1, x: 3, m: 6, n: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 115320.6 centuries in years?\nAnswer: 11532060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - 101100?\nAnswer: -111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**3 + 29*m**2 + 14*m + 30. Let c(o) = 21*o - 9. What is the remainder when c(6) is divided by j(-14)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 40*f**2 - 51*f + 65. Let j be g(-38). Let v = j + 1448. What are the prime factors of v?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*i - 1117 + 2349 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.27 - 17. Let k = 0.16 - v. Let h = k - -1.71. Round h to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-8 + -21 - -10)) + -24.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*d - 50*d - 4*d + 2*d**3 - 3*d**4 + 19*d as a*d**4 + y*d**2 + k + t*d + h*d**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 104829119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(275))\/(sqrt(200) + sqrt(200)*-4) + 1.\nAnswer: -sqrt(2)\/150 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 341*r**2 + 6*r. Let s(y) = 194375*y**2 + 3421*y. Determine -3421*q(w) + 6*s(w).\nAnswer: -311*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 9*o**2 + 7*o - 5. Let m be j(-8). Let a(b) = -m*b - 3*b**2 + 2*b**3 - 2*b + 2*b**2. Let p(h) = 2*h**3 - 4*h. Calculate -2*a(r) + 3*p(r).\nAnswer: 2*r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6179129, -12358228, -18537299, -24716330, -30895309, -37074224?\nAnswer: -43253063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*b - 3 = -82*b + 2*q, b + 5*q - 3 = 0. Solve -k = -j, 4*k = -4*j + b*k - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/6, 2\/3, 3, 5626, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 322397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1920 and 713280?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17996 and 18678.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 33 - 89. Let k = 107 - g. 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 12, what is 8 + 936b?\nAnswer: 9377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 22*t - 65. Give k(15).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 4*m**5 + 2*m + 2*m**5 + 0 + 0 + (m**2 - 1 + 1)*(2 - 2 - m**3) - 3*m**5 - 2*m**5 - m**5.\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -227 + 226.9. Let s = 126 - 114. What is the third smallest value in r, s, 0.12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5840*b + 96 = -4*d + 5835*b, -4*b = -d - 24 for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.2 + -4. Let r = -1.78 - 0.52. Let v = r - -2.2. Which is the nearest to v? (a) 0.1 (b) 1\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -495 by -165.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15838.9 + -15839. Which is the closest to -8\/3? (a) z (b) -4\/13 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 4 (c) -275.7 (d) -12.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1940\/24 - -3) + 2. Let a = b + -86. What is the biggest value in 8, 0.2, -5, a?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (4 - (6 + -2))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cidfcicfcdd. What is prob of picking 1 c and 2 d?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 170 divided by -2\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 193. Let l = 172 - f. Solve y + 1 + l = -o, -10 = 2*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6637\/4506 or 1?\nAnswer: 6637\/4506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/10)\/((-6)\/(-15)). What is the units digit of ((-24)\/l)\/((-4)\/(-78))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1909650 to the nearest ten thousand.\nAnswer: -1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**3 + 26*o**2 - 1. Let c(r) = -3*r**3 - 58*r**2 + 1. Calculate 2*c(z) + 5*t(z).\nAnswer: 4*z**3 + 14*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from ffeeeeteeefsfeveeev.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830980 is divided by 1418.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10519923 and 21.\nAnswer: 73639461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -6. Suppose -3*z + 8 = w, c*z + 3*w - 8 = -w. What is the nearest to 0.2 in -2\/19, z, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/595*(-85)\/(-34).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 3*p - 24 = 0. Suppose 0*b - p*t = -b + 5456, 2*t = 5*b - 27254. What is b rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -21. Let q be ((-16)\/(-14))\/(k\/(-14)). Let c be (-14)\/(-8) - 2\/(-8). Solve -2*m - 4 = q*u - c*u, -4*u - 3*m - 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -158*g**7\/21 - 33*g**3 - 297*g. Find the second derivative of j(h) wrt h.\nAnswer: -6320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -283873311 = -283873311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-6)\/3 - 18241. Let f = -10835 - l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620839756 to the power of 1\/3, to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l - 53. Suppose -6*z + 3*z - 5*i = -28, 2*i - 4 = 0. Give k(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9 - k + k**3 + 8 - 1333*k**2 - 3*k + 1328*k**2. Determine m(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 71, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20342, 20345, 20350, 20357, 20366, 20377, 20390?\n\"Answer: m**2 + 20341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 346*g**2 - 164*g**2 - 183*g**2. Let d(k) be the first derivative of -10*k**3\/3 - 2. Determine w(d(u)).\nAnswer: -100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 7*u + 232*u + 11*u - 13 + 34.\nAnswer: 250*u + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 1)*(0*r - 4*r + 3*r)*(224*r - 40*r + 5*r) as w + h*r + u*r**2 and give u.\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b + 33. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 - 76.1. Let o = 37 + f. Let y be -4 - (315\/11)\/9 - -7. Sort y, 4\/7, 2, o in descending order.\nAnswer: 2, 4\/7, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/(-14) + 5 - 0\/1. Let w be -192*(-8 + 276\/36). Determine g, given that r*g**3 - 18\/7*g**5 + 424\/7*g**2 + 128\/7 - w*g - 102\/7*g**4 = 0.\nAnswer: -4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 615926 to the power of 1\/2, to the nearest integer?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*((-2)\/(-2))\/(6\/(-12)). Let p be -1*((-32)\/l + 2\/(-7)). Does 37 divide 1*(p\/6)\/(1\/(-543))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**4 + 16*r**3 - 26*r**2 - 50. Factor t(h).\nAnswer: 4*h*(h - 1)*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.23, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 435*n**4 + 55*n - 180817 wrt n.\nAnswer: 1740*n**3 + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12246650 divided by 5.\nAnswer: -2449330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (91\/189)\/((-199)\/(-1791))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(0 - -8))\/(19*22\/(-4180))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5841767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 8:22 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(432) + (sqrt(432)*2)**2 - sqrt(432)) + sqrt(432)).\nAnswer: 12*sqrt(3) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 75 = 3*t, -353*t + 369 = 20*n - 359*t - 173 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose -5*g + 22 = -p*f, -3*g - 4*f + 3 = -5. Suppose 3*q + 14 = g*q. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 11:28 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and -435.767.\nAnswer: -784.3806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + (sqrt(77)*3 - sqrt(77) - sqrt(77)) + sqrt(77))*-2)\/sqrt(7) + -3)**2.\nAnswer: 36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -2389*z**4\/4 - 3371*z**2 - 1833. What is the second derivative of g(y) wrt y?\nAnswer: -14334*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41913 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -15. Suppose -b*c + 1002 = -3*h, 2*h + 0*c + c = -681. Calculate the remainder when (-4)\/6 + h\/(-9) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 - 9*c - 17. Let z(r) = -4*r**2 + 10*r + 15. Let g(t) = -3*k(t) - 4*z(t). Let u be g(14). Solve -4 = -j + u*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - -6 - (-156 - -133)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1862, 2545, 3228?\n\"Answer: 683*o + 1179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*x**4 + 4*x**3 + 42.\nAnswer: 36*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 15*b + 4. Let z be x(-16). Sort 0.1, 3, 5, z in descending order.\nAnswer: 5, 3, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2773*i*n**3 + 6*i*n**2 + 2*i*n + 31*i - 12719442*n**3 wrt i?\nAnswer: -2773*n**3 + 6*n**2 + 2*n + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 3)*(a + 2 - 2) + (-8 - 8 + 10)*(-4 + 4 + 7*a).\nAnswer: -36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370 is divided by 87.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 486306789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6349*o**2 + 19049*o**2 - 6363*o**2 - 6343*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -25*o**3 + 8*o**2 - 5. Let p(y) = -24*y**3 + 9*y**2 - 6. Calculate -5*p(z) + 6*s(z).\nAnswer: -30*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5900\/(-295) + 28\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 4*t**2 - 3*t - 2. Let x be y(3). Let d = 3.72 + -0.72. Let u = -0.09 - -4.09. Which is the closest to -1? (a) d (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {z: 1, v: 3, c: 1, u: 10}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -y - 9, -72*z - 41*y = -67*z - 231 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o\/o**(3\/2))\/o))\/o**11)\/(((o*o*o**(-1\/43))\/o)\/o**(2\/7)))**(-1\/4) assuming o is positive.\nAnswer: o**(5533\/2408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 7. Let o = -4 - m. Let w = 51 + o. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 507652819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 + 29*n + 78. Let t be p(12). Let v(w) = -2*w**3 + 30*w + 6. Let k(f) = -2*f**3 + 30*f + 5. Calculate t*k(u) + 5*v(u).\nAnswer: 2*u**3 - 30*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*(a*a*a\/(a*a**(-2\/25))*a)\/a))*a)\/a**(-10\/7))**(25\/6)\/((a**(2\/9))**(-32))**16 assuming a is positive.\nAnswer: a**(8614\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 487 divided by 2141?\nAnswer: 487\/2141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.5 - 0.5. Let m = -2.1 + r. Let y = -2\/45 - -53\/180. Which is the closest to 0? (a) -0.4 (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 m when three letters picked without replacement from mmmmlmmmlmmmm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**5\/20 - 5*s**4\/12 - 5*s**3\/6 - 5*s**2\/2 - s. Let z = 9 + -14. What is the units digit of c(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1129952 = 68*t + 1124580 for t.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07042331 rounded to three decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.81, 1\/11, 0.2.\nAnswer: -2.81, 1\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -194937.\nAnswer: -194937.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvj when three letters picked without replacement from rvvfcchhccjhjccjvh.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*f**2*n**3 - 391*f**2*n**2 + 534*f*n - 900*n**3 + 11464*n**2 wrt f?\nAnswer: 12*f*n**3 - 782*f*n**2 + 534*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.215 and -8.83986424.\nAnswer: -8.62486424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 2*m - 3. Let x(a) = 3*a**2 + 6*a - 11. Let s be x(-4). What are the prime factors of l(s)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 183*o**2 + 3615*o + 597. What is n(201)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddmsdddmsdmdsdds. Give prob of picking 2 m and 2 s.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 481143081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7979.583l in millilitres?\nAnswer: 7979583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 (base 13) in base 2?\nAnswer: -1001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/5, 558, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ownewnwwwewwnwweew. Give prob of picking 1 e and 1 n.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwjj. What is prob of picking 1 h and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -15*m**3 + 2*m**2 + 4*m. Let d(z) = -8*z**3 + z**2 + 2*z. Let r be 330\/54 + 1\/(-9). What is r*f(g) - 11*d(g)?\nAnswer: -2*g**3 + g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80118083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*i + 21, -2*t + 7 = -5*i - 13. Let h(g) = t - g**3 - 4 + 0*g**3 + 0*g**3. Determine h(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201 (base 4) to base 2.\nAnswer: -1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -336427 or -336426?\nAnswer: -336426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -2, 70 in decreasing order.\nAnswer: 70, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4954*c**2 - 7055*c**2 - 3943*c**2 + 3181*c**2 as k + s*c**2 + y*c and give s.\nAnswer: -12771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1548.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**3*t\/t**(-1\/15) assuming t is positive.\nAnswer: t**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 1\/144, 1?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -19617*n + 627682. Give s(32).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 8*j - 9. Let f be i(-4). Let g(t) = -t**2 + 9*t - 8. Give g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - 8*w**2 - 3*w + (w + 134 - 29 + 42)*(0 - 4*w + 0).\nAnswer: -12*w**2 - 588*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**2 + 1. Let d be g(1). Let a(k) = 2*k - 2. Let j be a(-1). Let y = d + j. Solve q - y = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118405552009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/6)*b*(b\/(b**8*b))\/b*b)\/(b\/(b*b**2*b))**(2\/51)*(b**(-3\/5)*b\/(b\/(b*b*b\/(b*b**(1\/7))*b)))**(-17) assuming b is positive.\nAnswer: b**(-162151\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 163526.454 minutes in weeks?\nAnswer: 16.2228625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560174 is divided by 185.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31090 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 15181283?\nAnswer: 45543849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 3. Let m(l) = l**2 + 3*l + 2. Let t be m(-3). Suppose 3*n = 3*z - 11 - 13, 12 = 3*z + n. Calculate the smallest common multiple of c(t) and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*((s**2 + 0*s + 0*s)*(1 - 1 + 6*s) + 3*s**3 - 8*s**3 - 5*s**3).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 85\/((3\/(-6))\/(98\/980))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2339992, -4, 5, -1.\nAnswer: -2339992, -4, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2))\/((-9)\/(-24)). Suppose -8 = g*v, -4*p - 6*v + v = -10. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) -4 (c) -22 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4.394815*9.8\nAnswer: -43.069187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 232 - 237. Let v be 1 + 0 + ((-40)\/g - -27). What is the highest common factor of v and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -1.3\nAnswer: 1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*j + 324 = 0. What is j rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqyqaqqyiwawavq. What is prob of picking 1 i and 2 a?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -105 - 12?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50568639 by 4213.\nAnswer: -12003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 10 = -3*r. Suppose -54 = -8*g - r. Let c(h) = -h**2 + h + 1. Let i be c(-2). Put g, 4, i in increasing order.\nAnswer: i, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1910)\/(-60) - (-2)\/12. Find the common denominator of (-20)\/15*522\/c and -43\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -5 - 1\/12*u**4 + 1\/40*u**5 - 1\/12*u**3 + 1\/2*u**2 + 4*u. Let q(y) be the first derivative of l(y). Factor q(z).\nAnswer: (z - 2)*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20624 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33015 + -12300?\nAnswer: 20315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 14*s - 78. Calculate the smallest common multiple of w(13) and 4.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 2 + -68 + 78.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q*u**2 - 8392*q*u + 121998977*q - 633*u**2 + u wrt u.\nAnswer: -6*q*u - 8392*q - 1266*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44782191 divided by 3?\nAnswer: -14927397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 0*f**4 + 0*f + 0*f**3 + 5 - 3*f**2 + 1\/160*f**6 - 1\/80*f**5. Let x(b) be the second derivative of g(b). Factor x(t).\nAnswer: 3*t**2*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006069 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 3*g**2 + 13*g + 53. Let y be x(7). Calculate the highest common divisor of y and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3391, -6617, -9841, -13063, -16283?\n\"Answer: g**2 - 3229*g - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 at most as big as 79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76076683 is divided by 135.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) 1\/2 (b) 5 (c) 17.6 (d) 1 (e) -0.048 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b**2 - b)*(8 + 8 - 9).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5701162, 5701159, 5701156, 5701153, 5701150?\nAnswer: 5701147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 12:10 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 19349*r. Let l(d) = d**2. Calculate f(l(o)).\nAnswer: 19349*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4 - 1. Suppose 5*s - 2*j = 79, 0 = -3*s + 5*s + f*j - 24. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 51. Differentiate 11 - 9*t - 10*t - 5*t**x + 19*t with respect to t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17210809 divided by 2?\nAnswer: 17210809\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -5 (c) 3 (d) -1 (e) -0.1 (f) -248.73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w + 531. Let j be v(85). Solve -2*c = j*c - 69 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -58.3. Let b = -1.6921 - v. What is b rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 34. Suppose 5*k - 9*k - 24 = 0. Let i be 80\/(-6) + 4\/k. Is t(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -23*i - 5. What is the remainder when b(-4) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9207.7 - 8766. Round m to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14989\/(-26))\/(1\/(-2)). Suppose 11*f - 1487 = w. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 - 18*c**2 - 23*c + 24. Give w(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 10*k + 104. Let g be x(-10). Suppose g = -n, 5*b + 11 - 84 = -3*n. Solve b = 5*c + 32 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*v + 1007*v + 1725*v + (-2*v - 3*v + 4*v)*(3 - 1 + 1) as o*v + q and give o.\nAnswer: 2683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 2*m - m)*(0 + 5 - 1)*(m**3 - 6*m**3 + 3*m**3) - 814*m**4 + 1607*m**4 - 819*m**4 + (-2 - 1 + 4)*(-3 + 3 - 2*m**4).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {m: 1, w: 1, c: 2, z: 7, e: 5}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m - 31. Let w be t(14). Let z be (-28380033)\/22 - w\/2. What is z rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 101 (b) -0.028 (c) -0.106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97 + -83. Let z be (10\/4)\/((-2)\/(-4)). Suppose -z*c + 5 = 3*d - 11, i = 4*c + 3*d. Sort -5, -6, c.\nAnswer: -6, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*g - 3. Suppose 25 + 45 = g*f. Suppose -2*o = -f*o + 56652. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 835.2934 years to months.\nAnswer: 10023.5208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 294 + 730. Let y = -80 - o. Let l = -121 + y. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 941 + -991 - (2 + -86).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 620 + -421. Let d = i + -106. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04578 + -0.2.\nAnswer: -0.24578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -1, 59, -3?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*w, i = -5*w + 24. Factor 25*a + 4*a**2 - 20*a - i*a**2 + 5*a**3.\nAnswer: 5*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 4*g - 4*g)*(-514*g - 565 + 565).\nAnswer: 2056*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z**3 + 14*z**3 + z**3)*(-59 - 57 + 117 + 228*z) in the form s*z + m*z**2 + c*z**4 + d + p*z**3 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6519765 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffffffrffffff. What is prob of picking 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 8. Suppose -c + 2 = -z. Factor -3\/4*w**c + w - 1\/2*w**3 + 1\/4*w**4 + 1.\nAnswer: (w - 2)**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 - (-10 - (-7 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 5.06481317539?\nAnswer: -6.06481317539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34 + -0.09\nAnswer: -34.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 90 = 3*c, -2*i = -4*i - c + 40. Suppose 2*k + 86*d - 28 = 90*d, 42 = 3*k - d. Calculate the highest common divisor of k and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 12 - 45*u + 37 - 10*u.\nAnswer: -55*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c - 32. Let n be t(10). Let w be -16 + (n - (-16)\/4). Let i(f) = 2*f + 7. Let a(d) = d + 3. Give w*a(h) + 6*i(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 2*h**2 + h. Let c(t) = 10*t**3 - 60*t**2 - 30*t. Determine 4*c(x) + 120*u(x).\nAnswer: 160*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -3*j + 30. Let v be (-2595)\/(-30) + j\/4. Suppose 225 = 3*h - 5*n, -h + 9*n + v = 4*n. Calculate the smallest common multiple of h and 2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3 - 4*i + 0*i - i. Calculate a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12.2, -11, -2, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-67)\/(-22))\/(2\/4008). Which is greater: -91 or t?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(2299) + sqrt(2299))**2 - (2 + sqrt(171)*-2)**2 - 4*sqrt(95)\/(sqrt(720) + sqrt(720) + -2*sqrt(720) + sqrt(720))*5.\nAnswer: -687 + 67*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -24. Let b(d) = d**3 - 7*d**2 + 2*d - 7. Give b(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4785608*v**2. Let b(g) = -2*g. Determine b(x(l)).\nAnswer: 9571216*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54461496 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a factor of 8637009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -2*c**3\/3 - 2*c + 12. Let w be f(-3). Let v = w + 63. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = -5*u + 42, -24 = -2*u - 4*l. Calculate the remainder when (51\/u)\/(1\/2) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231*j**5*o**3 + 2*j**2*o**3 - j*o**2 + 6*o**3 wrt j.\nAnswer: 13860*j**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(10 - m - 10) + (-2*m - 3*m + 3*m)*(4 - 2 + 1) + 2*m - 3*m - m + 9 + 2*m - 47 - 50 in the form o + b*m and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 8570363*y**2 - 18362724780456*y + 238716870539472.\nAnswer: -(y - 13)*(y + 4285188)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3470 + 3480. Solve 41*o - l = 39*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 2*u**2 + 11*u - 12. Let q be f(4). Solve r - 3*d + 3 = q, 2 = 2*r + 2*d - 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 15*j + 159. Give o(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 126 and -0.4.\nAnswer: -50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/15)\/(-1*32\/12)*2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -121. Let n = -80 + k. Suppose -2 = -g, -a = 2*a - 2*g - 8. Solve 0 = 4*m - a - n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10772 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecc when three letters picked without replacement from {c: 5, e: 1, j: 7}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -83, -178, -277, -380, -487, -598?\n\"Answer: -2*x**2 - 89*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - 2. Let p be y(0). Is 3 a factor of (144\/(-40))\/(p\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + (-9 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 - 16042*m**2 - 384792*m - 2308320.\nAnswer: -(m + 12)**2*(m + 32060)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(1 - (2 - 2)). Let l be 0\/((-3*g)\/(-3)). Suppose l*c - 195 = -5*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**3 - 5*m**2 - 11. Let y(f) be the second derivative of f**5\/20 - f**4\/12 - f**2 - 27*f. What is 2*k(g) - 11*y(g)?\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 31 (c) 0.5 (d) 2 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1754 - 1747. Solve 20 = -3*l - 5*n + 7, -l - 3*n - c = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:48 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 6. Let p be r(-6). Suppose k + 3*k = -4*d + 592, p = -4*k + 2*d + 574. What are the prime factors of 3 + (-1 + k)\/4?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*i = -4, -4*m + 3*i = 8*i - 11. Let r be 2 - (m + 3\/3). Suppose -f + 6137 = 2*l, -f - r*f = -l + 3058. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 26653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 16 = 5*b + t, 8 = -b - 4*t. What is the biggest value in -3, b, -66?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -264 + 637. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4 + 11*u - 6 to o*u + q and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 725051606 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -11, 4, 0, 175, 3, 5 in descending order.\nAnswer: 175, 5, 4, 3, 0, -11, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215598 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 - 2*z - 1. Let j(a) = -5*a**2 + a + 2. Let s(q) = -4*c(q) - 3*j(q). Let r be s(3). Solve 4*y - 12 + r = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.5741 take away -0.981915?\nAnswer: -12.592185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a minute in seconds?\nAnswer: 1044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-8))\/(-10)*16\/12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*k**5*y**3*z + 169*k**3*z - 3*k**2*y**3*z - 47*k**2*y**3 - k**2*y - 14*y**3*z + y**2*z wrt k.\nAnswer: 600*k**2*y**3*z + 1014*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 10. Let d be 3\/i + (-1)\/(-2). Suppose 0 = -51*r + 72*r - 3*p + 42, 2*r - p + 9 = 0. Put d, -25, r in decreasing order.\nAnswer: d, r, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 1\/8, -12515697 in decreasing order.\nAnswer: 1\/8, -1\/8, -12515697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, y: 3, t: 3}. What is prob of picking 2 t and 1 y?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 875 divided by 1\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(-6 + 8 - 14)*(4 - 25*v - 4) as p + c*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - 227\/(-12))*-48\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -908972\nAnswer: 908974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*n + 4 = 0, 4*f - 3*n + 553 - 577 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) -3\/2 (b) -0.1 (c) -1\/6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-180)*-15*(-3 - (-1 + 16)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 4. Let c(x) = 4*x - 8. Suppose 8 = -11*w + 63. Determine w*u(l) + 2*c(l).\nAnswer: -2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + -5 + 6 + 3. Let r(a) = a**3 + 7*a**2 + 2*a - 4. What is the common denominator of (-177*x\/2)\/((-1431)\/53) and r(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -7*u + 66. Let d = u - -37. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8183548.24 rounded to the nearest 100000?\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -34 + 5*v**2 + 62 - 7*v - 26 - 20*v**3 - 4*v**3. Let a(g) = -23*g**3 + 4*g**2 - 6*g + 2. Calculate -7*a(k) + 6*p(k).\nAnswer: 17*k**3 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7052 is divided by 1409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2 = 2*k, k - 2*k = -4*q - 12. Let l(i) = -i + 24. What is the remainder when l(0) is divided by (11 - q) + -1 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*i + 8825 = 155*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*g - 9, -g = 3*o - 565. Calculate the highest common divisor of o and 1197.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4\/5 + 9504*k**3 + 189992*k**2\/5 - 1330272*k\/5 + 1520384\/5 = 0.\nAnswer: -23756, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 - 313?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -2, 23, 68, 139?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -881102 + 55*j + 881102.\nAnswer: 55*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/3 (c) -21 (d) 11 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 2*r - w, 5*w + 82 + 43 = -4*r. Let s = -2 + 0. What is the tens digit of s + 0 - -3 - r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 206 and 31106?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 1, i: 1, a: 1, r: 2, z: 2}. What is prob of sequence kz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*j - 131 = 6*j, -5*i + 302 = j. Let u = -41 + i. Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 533024867 to the power of 1\/2, to the nearest integer?\nAnswer: 23087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.04 (b) 0.01 (c) -3\/4 (d) -1\/4 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*q + 150, -151 = 4*v + q + 2*q. Let l = -50 - v. List the prime factors of l\/24*(-42)\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18500 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 56*b**3 - 99*b**3 - 9*b**3 + 5*b**4 + 153*b - 2*b**4 - 4*b**4 wrt b.\nAnswer: -12*b**2 - 984*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 404643 and 11.\nAnswer: 4451073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 6 = -8. Suppose -k*s + 15 - 7 = 0. Suppose -s*q = 3*w + 92699996, -w + 154500002 = -6*w + 2*q. Round w to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/149 and -31.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 41.55385ns?\nAnswer: 0.00000004155385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3611534 or -3611535?\nAnswer: -3611535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17 + -16)*(-1 + 1 + 3). Suppose 0*x = 2*x + 3*w - 1507, -j*w = -2*x + 1513. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2045*k - 2130. What is the ten thousands digit of x(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*w + 70 + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000110001101010001 - 100?\nAnswer: 1000000110001101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73 + 131. What is the remainder when d is divided by (8\/(-28) - (-3)\/(-14))*-40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 + -14)\/(-13))\/(-1*3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1802 - 1821 - c**2 - 208*c + 3625 + 6*c**3 to w*c**2 + j*c**3 + g*c + k and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - 3 - 3*z - 4*z + 3*z.\nAnswer: -4*z - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 322, 1154, 1998, 2860, 3746, 4662?\n\"Answer: b**3 + 825*b - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 23113.838 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -109033.52292 + 113449.023. Let d = -4416 + b. Let a = -0.5 - d. What is a rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**3 + c**2 + c + 1. Let b be a(-1). Suppose 0 = 662*p - 664*p. Suppose -6*x + b*x + 2 = p. Solve -x*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95953 + 239*n**2 - 95953)*(357*n - 357*n - 14*n**2 + 1).\nAnswer: -3346*n**4 + 239*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8187728 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7224 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2049 - -94195\/46. Find the common denominator of 375\/20 + (-4 - -1) and u.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 + 175 = 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -71919209 rounded to the nearest ten thousand?\nAnswer: -71920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23182\/2768 - 3\/8 - (-22)\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from gjzgffggzzzjggzzjgg?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1515692)\/(-6))\/((-4)\/(-48)). Let c = o + -1499407. Suppose -3*b = -271977 + c. What is b rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365, -733, -1101, -1469?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*v**4 + v**3 - 115*v**2.\nAnswer: -2352*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 5*a + 4. Let r be c(9). Suppose -w = -3*w + r. Suppose 2*s - 3*s + 6 = 0. Calculate the smallest common multiple of w and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 3*s. Let u = 74 - 398. Let b = 321 + u. Determine h(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1565*g + 812 = -1623*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 17*n + 16. Let i be b(6). Let s be -2 + -3 + 2 + (-46)\/i. Factor 0*l + 2\/7*l**2 + s*l**5 + 6\/7*l**4 + 0 + 6\/7*l**3.\nAnswer: 2*l**2*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 862 + -843. Suppose 3*x - 11 = 28. Let o = i - x. Solve 0 = -o*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 122 and 0.018.\nAnswer: 122.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 21294041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2227783*h*j**2 - 74*h*j - 2*h + 4*j - 166 wrt j.\nAnswer: 4455566*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by ((-8)\/(-10) - 7062\/15)\/(-2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 66.6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-3)\/(-4)) + (-1750)\/(-450).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/10)\/((-2)\/10). Let l be (78\/(-24))\/13 - (-1414)\/(-8). Let b = -177 - l. Sort b, 7, s in decreasing order.\nAnswer: 7, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3 - i**2)*(4 - 4 - 2*i + (0 - 1 - 1)*(-3 - 2*i + 3) + i - 4*i + 4*i + 0 - 5*i + 0).\nAnswer: 2*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23292*0.0316.\nAnswer: 736.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21100 and 375580.\nAnswer: 1877900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 4)*(-1393 + 1393 - 1038*z)*(-3 - 3 + 5 + (0 + 4 - 1)*(1 - 4 + 5)).\nAnswer: 5190*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2860*l - 556*l = 82*l + 122430 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27 + -28 + 1*14. Is (-1 - (0 + -5))*g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2249200 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, z: 3}. What is prob of sequence dd?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 431 + -297. What is the fourth smallest value in 4, -2, y, 1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t**3 + 41*t**3 - t**3 - 322*t**2.\nAnswer: 2*t**3 - 322*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + 3 - 3)*(2*t - 5*t + 0*t + (3 + 2 - 3)*(0 + 0 + t) + 2 - 5*t - 2).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4300 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s - 12. Suppose -4*d = w + d + 16, 2*d - 2 = w. Let b(r) = -6*r + 25. Give w*b(g) - 13*x(g).\nAnswer: -3*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 614 - 5*t - 539 + 52*t. What is the tens digit of j(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -509 divided by 509\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eie. What is prob of sequence ie?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Simplify (2*sqrt(425)*3 - (sqrt(425) - -6*sqrt(425)*1))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730*u - 15 = -5*c - c - 729*u, -5 = 2*c - u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5234719 - 0.3?\nAnswer: -5234719.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -15. What is the remainder when 28 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 8*w + 9. Let l be c(-7). Suppose 0*b - l*x + 8 = b, 4*x = -5*b + 22. Suppose 0 = j - b*j + 26. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a micrometer in nanometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 302 and 44.\nAnswer: 6644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**7\/4200 - r**6\/1800 - r**5\/300 + r**3\/3 - r**2. Let c(v) be the first derivative of h(v). Solve c(t) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 27*t - 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/90 - (69\/(-5) - 0). Suppose 5*f**2 + 17*f**2 - z*f**2 - 2*f**3 = 0. Calculate f.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89 - 87) + (4 - 1 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64010?\nAnswer: 2, 5, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36644 - 36647. Let g(m) = -m**3 - 3*m**2 - 2*m - 8. Give g(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.542*-2\nAnswer: 1.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 209*q**2 + 706*q + 107. Give o(101).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4178 - 4177.4. Put i, -24.6, -5, -0.1 in ascending order.\nAnswer: -24.6, -5, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 16. Let f(h) = 12 - 12 + g*h**2. Let n(v) = -v**2. Determine n(f(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 + -32. Suppose -19*n - 15305 = -19960. What is the remainder when n is divided by a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.5, -1, -2, -4\/4805, 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49400*g**3 + 4 + 2*g**4 - g**5 + 6817*g**2 + 50855*g**3 - 4 + 1430*g**2 wrt g?\nAnswer: -60*g**2 + 48*g + 8730","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12836256 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1713.2 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868 - 12072 = -4*l. Let a = -19561\/6 + l. What is the common denominator of -57\/8 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 511 + -584.5. Let f = -71.5 - r. Which is the nearest to 0.1? (a) f (b) 27 (c) 1\/4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001976 divided by -4\nAnswer: -250494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -25. Suppose -2*r - 6 = 4, 3*v - w*r = 31. Let b(f) = 18*f**2 + f. Is b(v) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.1, 5727, -1\/3, 0.5.\nAnswer: -1\/3, 0.1, 0.2, 0.5, 5727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5963 is divided by 36.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 3. Let w be j(-3). Sort 1, w, 4 in decreasing order.\nAnswer: 4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 343 and 950061.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, a: 3, m: 5, v: 4}. Give prob of picking 1 m and 1 v.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66147 + -26719. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2222\/695 at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/2*(-3380)\/(-1950)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*j - 941 = -3915 + 187 - 2757 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3dd5 (base 14) to base 6\nAnswer: -122435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y**(-1)\/y*y)\/y))**(5\/7)*((((y**(-10)\/y)\/y*y)\/y)\/y*y)\/(y*y**31) assuming y is positive.\nAnswer: y**(-298\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 9*b**2 - 8*b - 6. Let l be k(8). Let y be ((10\/l)\/(-5))\/(-14). Let n = -34\/105 - y. Are n and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**7\/525 - 41*s**6\/300 + 151*s**5\/150 - 37*s**4\/20 + 20*s**2 - 2*s + 87. Suppose c(o) = 0. What is o?\nAnswer: 0, 1, 3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:38 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 1. Let t = -219 - -217. Let n(v) = -5*v - 4. What is t*n(a) - 9*k(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {n: 1, m: 1, r: 7}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/(-10)*(-75 + 20226\/270)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -22*j + 5. Let w be a(-1). Suppose 0*n - 9*n - w = 0. Let v(u) = u**2 + 3*u + 2. Give v(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - sqrt(85)*1*-4)\/(sqrt(5) - 1*sqrt(20)) + -1.\nAnswer: -5*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*3*(0 + sqrt(1053)) + -1)**2.\nAnswer: -324*sqrt(13) + 85297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-29)\/58*3*-2. Suppose n - 4*o + 2 = 0, 0*o = -v*n + 3*o + 12. What is the lowest common multiple of n and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h - 4*h**2 + 4*h + 3*h**2 + 46*h to l*h + v*h**2 + d and give l.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110033003 (base 5) in base 13?\nAnswer: 136500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from fffrerrfffr.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:24 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 44 - 40 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 6:26 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3610951.197 to the nearest 100000.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, x: 7}. What is prob of sequence ixii?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -3*v**4\/4 - 49*v**3 + 312*v**2 - 636*v + 10690. Factor f(n).\nAnswer: -3*(n - 2)**2*(n + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 858 and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 353473 + 404134. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -571 - -333. Let i = -238 - x. Which is the second smallest value? (a) i (b) -5 (c) 2\/7 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**3\/2 + 7*i**2\/2 - 4*i. List the prime factors of a(11).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 16 - 172 = 0. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-221 - -224) + 14\/(33\/24 - 6)?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70785 and 10659?\nAnswer: 22863555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6 = 14. Suppose 0 = -n*b + 5*q + 18, -b = 3*b - q - 10. Suppose -201 + 81 = -b*g. What is the highest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -311088, -311090, -311092?\n\"Answer: -2*g - 311086","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18804 - -38301. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -17*z + 12 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 3*h. Let b(x) = x**2 - 4*x. Let p be 6\/(-5)*90\/(-27). Suppose m = 3*i - m + 18, -24 = p*i - 2*m. Give i*z(r) - 5*b(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*r = -156, -7 - 3 = -5*r. Let u be (4\/(-10))\/(3\/(-15)). Suppose -6 + 26 = u*t. Calculate the remainder when n is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78383 times 1079?\nAnswer: 84575257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68) + 0 - (sqrt(68) + 0 + sqrt(68)*-1))**2 + 2 + (sqrt(68)*1*3 + sqrt(68) + -3)**2.\nAnswer: -40*sqrt(17) + 1171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -568840+25653\nAnswer: -543187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + h**2 - 2*h - h**3 + h - h. Let w(g) = -20*g**3 - 2*g**2 + 7*g. Let a(t) = -2*o(t) - w(t). Find the second derivative of a(j) wrt j.\nAnswer: 132*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1665654 (base 8) to base 16\nAnswer: -76bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -331, -3\/2, 4, -1.131 in decreasing order.\nAnswer: 4, -1.131, -3\/2, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*z**3 + 0*z + 4*z - 2*z - 1 - 3*z**2 + 2*z**4 + 0*z - 30*z**3 in the form a*z**4 + o*z**3 + d*z**2 + q + w*z and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.111744 weeks in minutes?\nAnswer: 41446.37952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-564)\/(-329) - (-2)\/7. Solve -d*m - 5 = 3*n, -3*n - 15 = -m + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + m + 210, t + 3*m + 55 = -45. Find the common denominator of 12\/7 and 232\/142 + -2 + (-53)\/t.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b = -6. Let q be b\/9 + 52\/(-9). Let y be (q\/10)\/(6\/4). Is y bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/5)\/((-6)\/20). Let v be y\/((-3 + 4)*-2). Find the third derivative of 4*q**2 - 7*q**6 - 2*q**2 + q**v wrt q.\nAnswer: -720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by -125*((-216)\/180 - (2 + -3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477, -1710, -3723, -6528, -10137?\nAnswer: -14562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 14, -38 in decreasing order.\nAnswer: 14, 0.1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3*t**2 - 19 - 12.\nAnswer: -3*t**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -359.4 + 262. Let q = -8.6 + m. Let s = 105.9 + q. Which is the nearest to s? (a) 3 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 188532717?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*x + 83482, 0 = 9*f - 5*f + 2*x - 166958. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35015333, 70030667, 105046001, 140061335, 175076669, 210092003?\nAnswer: 245107337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 480, 1015, 1568, 2139, 2728, 3335, 3960?\nAnswer: 4603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + 36. Suppose u = -y + 19, q = -u + 5*u + 3*y. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10 = 4*t. Suppose -1 + 0 = -n, -t*v - 5*n + 17 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 404 and 5452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (114 - 271 + 47)*(-4 - 2*m + 4) to p*m + t and give p.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1097267 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 + 7 + 48*f - 45*f + (5*f - 3*f - f)*(-1 + 3 - 1).\nAnswer: 4*f + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137*i + 146*i + 17*i)*(-5 + 2 + 5)*(2 + 1 - 6).\nAnswer: -1800*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2114*y + 1693*y - 6736 = 0 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.155929 times 2\nAnswer: 0.311858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 18. Let u = -2 + 2. What is the closest to 1 in u, 1\/2, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65269 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -17. Let c be 4\/16 - ((-57)\/n + -2). Suppose 4*a - c*a + 762 = 5*m, 0 = 2*a - 8. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.015? (a) -8\/3 (b) -3\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6068 and 80?\nAnswer: 121360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + -2 + (23 - 7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (-32 - -36)) + -20\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 624 or -8?\nAnswer: 624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + -90. Let j(c) be the first derivative of -3\/5*c**5 + 0*c**4 - 2 + 0*c + 0*c**l - c**3. Find the third derivative of j(w) wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = -3. Let p(v) = -34*v + 32. Let o(g) = 11*g - 11. Let j(f) = -17*o(f) - 6*p(f). Does 23 divide j(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 705425.790162 - 705424. Let w = -40.09 + 38.3. Let j = q + w. What is j rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - 11?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69689.76 months to decades.\nAnswer: 580.748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d**3 - 32*d - 6*d**3 - d**3 as q*d + r + s*d**3 + g*d**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1242, 9831, 33136, 78513, 153318, 264907, 420636?\n\"Answer: 1226*l**3 + 2*l**2 + l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2276491346 + 2276491007.99996592. Let s = 338 + f. What is s rounded to 6 dps?\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111 (base 3) in base 2?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 54634796*r**2 + 0 + 54634151*r**2.\nAnswer: -645*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = 2*m - t, 5*m - 23258*t = -23256*t + 193 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-110652645)\/(-3485) - (-4)\/(-34).\nAnswer: 31751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15295338 to the nearest 10000.\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53121041 (base 6) in base 9?\nAnswer: 2822487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/2, -27, -1697, -1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 + -24?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5342, -3501, 1486, 11191, 27186, 51043, 84334?\n\"Answer: 262*p**3 + p**2 + 4*p - 5609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -9 + 11 + 1 - 15*p - 3. Let k(g) = 11*g. Determine k(b(y)).\nAnswer: -165*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-940)*(2\/(-3))\/(26\/(-39))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h - 312 = -33*h. Let p = h + -15. Let i = p - 75\/2. Which is bigger: 2\/7 or i?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*l + 523*l + 5*l**2 - 167*l + 135*l - 4*l**2.\nAnswer: l**2 + 844*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -4\/3*j**3 + 0*j**2 - j**5 + 0*j**4 + 0*j + 3. What is the third derivative of l(d) wrt d?\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40775.317 - 13.2?\nAnswer: -40788.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -281, -286, -281, -260, -217?\n\"Answer: u**3 - u**2 - 9*u - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(300)\/sqrt(5))\/sqrt(12).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {x: 2, z: 5, b: 3, h: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -67698180711 - 0?\nAnswer: -67698180711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*a**3 - 11\/9*a**2 + 20\/9*a - 1\/3.\nAnswer: -(a - 1)*(a + 3)*(6*a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (203\/28 + -7)*0. What is the remainder when 108 is divided by (144\/(-6))\/(-3) - m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w**5 + 2895*w**4 + 86660*w**3 + 530265*w**2 + 414180*w - 646380 = 0. Calculate w.\nAnswer: -18, -7, -2, 3\/4, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19617?\nAnswer: 3, 13, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13 + (-5)\/(-5))\/((-9)\/6). Calculate the common denominator of ((-22)\/135)\/((c\/96)\/1) and 79\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 59.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 14*w - 31. Let y be c(10). Let s be (-2)\/6*y\/(-21). Which is smaller: s or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c**(-1\/2)\/c*c*c*c)))\/(c*(c*c**(-1)*c)\/c*c) assuming c is positive.\nAnswer: sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 5*j**2 - 3*j + 5. What is the units digit of y(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 281 by 29.\nAnswer: 281\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -70259*l**4\/8 + 101*l**3\/6 - 5*l**2 - 4. Let s be h(13). Round s to the nearest 100000.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.9 - 11.89919. Round o to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.08 - -30.08. Put i, -2135, -0.3 in increasing order.\nAnswer: -2135, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r + 2. Let i(j) = -j - 1. Let a(z) = z**2 - 18*z + 15. Let c be a(17). Calculate c*i(u) - x(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + 134*m - 2*m**3 - m**2 + 127 - 71 - 56 to the form r + d*m**3 + u*m + l*m**2 and give u.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/3)\/((-8)\/(-72)). Suppose -4*b = 5*i - 3*b - 9, -c*b = -2*i - 10. Let m be 120\/(-16)*(-1 - i). Solve 0 = -g + 3*g - 3*t - 7, m = -3*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-52)\/(-39)*6\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.526*-0.02829\nAnswer: 0.01488054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12356*w + 160563. Determine t(-13).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 8. Let s(p) = 11*p**3 - 6*p**2 + 85*p - 40. What is 5*h(k) - s(k)?\nAnswer: -11*k**3 + k**2 - 85*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6*286.4\nAnswer: 1718.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3. Suppose -3*g - 2*m + 1 = 0, 5*g + 4*m - 8 = 7*m. Let q(a) = a + 22. Let f(c) = g*q(c) - 5*x(c). What is f(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 468\/24*((-732)\/72 + 10) + (-15)\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*n**5 - 1338*n**3 - 7*n + 1338*n**3 + 0*n**2 - 5*n**2 wrt n?\nAnswer: 3060*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10452, -10453, -10454, -10455, -10456, -10457?\n\"Answer: -g - 10451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:07 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2187 + -2082. Calculate the highest common divisor of u and 2660.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4848\/25 - -194. Let z = -17\/100 - t. What is the third smallest value in z, -3\/4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0*a**3 + 1\/12*a**4 + 0 + 425\/2*a**5 - 9*a - 2*a**2. Let y be n(2). Round y to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 + 3*y**2 - y. Let l(c) = -15*c**2 + 8*c - 3. Let n(a) = l(a) + 5*m(a). Let p(z) = 130*z**3 + 40*z - 40. Determine 40*n(r) - 3*p(r).\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 171*q**2 + 9747*q - 185193.\nAnswer: (q - 57)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**4\/12 + 3*l**2\/2 + 394*l. Determine z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18383.\nAnswer: 31, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -12*f - 510. What is z(-55)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i = -109 + 141 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (14\/47712*-71)\/((-1)\/15)\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 2:14 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/20 and -61\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.79 from -2994508.\nAnswer: -2994507.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 445 = -3*d + 5*t, -2*t = 2*d - 306. List the prime factors of d.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 113113?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 28.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*g**2 - 24*g**2 - 19*g**2 - 63*g**2.\nAnswer: -352*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - (-11 - -5)) - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1520)\/3325 + (-5)\/((-50)\/(-4)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-848.33.\nAnswer: -339.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26576, -26573, -26570?\nAnswer: -26567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1041, 2067, 3093, 4119, 5145?\n\"Answer: 1026*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, -1\/16, -7849.4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6090\/(-1015)*(-1)\/285\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*j + 5. Let z(y) = 9*y + y**3 - j*y**2 - 7*y**2 + 11 + y. Let g be z(11). Solve g*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138*b - 167*b + 116 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16c - -607?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**3 - 240*m**2 + 8*m - 18. Let b(d) = d**3 + 11*d**2 - d + 2. Determine -5*b(q) - s(q).\nAnswer: q**3 + 185*q**2 - 3*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 3. Solve t = -3*a + v, a + 2*v = 3*v + 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620390008.\nAnswer: 2, 7, 61, 193, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.88 greater than 6238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.563453 years?\nAnswer: 0.00563453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -476495288.20297 - 0.5.\nAnswer: -476495288.70297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*((-16)\/(-6) + -3). Let w be (-3 - (2 + m)) + 2. List the prime factors of 0 - w - (2 + -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56905 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1648*0.2\nAnswer: -329.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 80523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.317 + 1.017. Put k, -4, 0.5 in increasing order.\nAnswer: -4, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.0174, 0.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 7:51 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 500172 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -41 in -1\/6, 3, 1, 0.02, 46, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 8*o - 10*o + 5 in the form f*o + m and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 595613617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4291 is divided by 486?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25)\/(-20) - (-6)\/8. Solve d - c = 4*s, -2*s = -d - s - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 96 + -85. Suppose t = -5*z - a, 3*t + 13 = -5*z - 0. Sort 23, 0, t.\nAnswer: t, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 0 + 7 + -3. Solve c = -2 + y, 0 = -4*z + 5*c - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 (base 3) in base 8?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283204415 to the power of 1\/4, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a*i**4*y + 13*a*i**4 - 3*a*i**2*y + 19649*a*i*y - 73*i**5 wrt i.\nAnswer: 96*a*i*y + 312*a*i - 4380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*g + 117*g - 5169536*g**2 - 8 + 5169533*g**2.\nAnswer: -3*g**2 + 7*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(132) - sqrt(132)*2))\/(sqrt(1200)*-1).\nAnswer: -3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1361 divided by -38.\nAnswer: 1361\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-24)\/4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 5, 466\/3, 0.4, 0.056?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5189490?\nAnswer: 2, 3, 5, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 751\/2, -0.5, 97?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 4*q, -5*q - 10 = -4*q - 5*o. Suppose 5*v - 2*v = -4*c + 19, q = 3*v - 15. Differentiate 2*m**2 + 0*m**2 + 0*m**2 + c - 2 with respect to m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(1 - 2) - 2595069\/327306.\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*f = 2*o + 16, 0 = 2*o - 3*f + 9. Let j be 0\/(1 - 2) - o. Let u(v) = v**2 - 4*v - 4. Give u(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-2 + sqrt(847))**2 - sqrt(847)).\nAnswer: -55*sqrt(7) + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -12, 8, 48, 114, 212, 348, 528?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 - 11121*v**3 + 10222515*v**2 + 155693121*v + 145459482 = 0. What is v?\nAnswer: -14, -1, 1861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/9 + 122*p**3\/9 + 1904*p**2\/3 - 488*p\/9 - 22816\/9 = 0. Calculate p.\nAnswer: -31, -2, 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 54 = 2*h, 47 + 48 = -3*h - 5*l for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117925 - 366.929.\nAnswer: -118291.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2. Let s(h) = 112*h**2 - 21*h - 10*h + 75*h + 5*h. Let j(o) = 2*o - 9 + 9 + 14*o**2 + 4*o. Let y(d) = 49*j(d) - 6*s(d). What is y(g(f))?\nAnswer: 14*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2325\/7 - 333. Let p = 0.5 - 0.9. Let s = -2.0982 + 0.0982. Sort m, s, p, 5.\nAnswer: s, m, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -20*i**3 + 105*i**2 + 255*i. Let x(g) = -31*g**3 + 157*g**2 + 382*g. Let p(c) = -8*o(c) + 5*x(c). Solve p(z) = 0 for z.\nAnswer: -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 10) + -5 + -2 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/(-32) + 2\/4)*16708 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.7160271 rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-561)\/15 - (-3)\/5. Suppose 41*u - 120 = l*u. Is u bigger than 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/(28\/(-126)). Let q be 6 - (n - 0 - -4). Solve -k - 14 = o + 4*o, 10 = -q*k - 5*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, 64, 3822?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 860621 smaller than 860611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(-9)\/7*1568\/(-64). Are u and 67 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2649160 is divided by 4843?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 61 - 36 + 76*f**2 - 12*f - 39*f**2 - 34*f**2 - 20*f**2 - f**3. What is l(-16)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) -0.35 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*b + 105*b + 12760 = 0. List the prime factors of b.\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(-1*(sqrt(76) + sqrt(76)*-1) + sqrt(76)) + -2 + (sqrt(76) - (sqrt(76) - (-1 + sqrt(76) + -5))**2) + (1 + sqrt(76))*2.\nAnswer: -39 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 272160 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*t = 3*t - 387 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1dd + -5897?\nAnswer: -5a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.08 and 9061.\nAnswer: 9060.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 + 4\/14. Suppose l = -9*g + 11*g - 122. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-5\/6)*b*b*b*b*b*b)\/(b*b**2))**(-5))**(-2\/31))**(-5\/4) assuming b is positive.\nAnswer: b**(-475\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - 3*u + 3*u)*(-u**3 - 3*u**3 + 5*u**3).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**2 - 92*g - 10. What is the remainder when r(-15) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.008 - -0.008. Let i = 11 - 7. Sort i, s, 0.4 in decreasing order.\nAnswer: i, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*t = 31, 0*o + 12 = 2*o - t. Suppose -2*m = -15 - 3. Calculate the least common multiple of o and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64, 130, 196, 262?\n\"Answer: 66*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 7. Let g = -10 - -15. Suppose -2*p + 1 = -g. Put p, j, -3 in decreasing order.\nAnswer: p, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1765587.2*3.\nAnswer: 5296761.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from kky?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/6754709 and -97\/4977154?\nAnswer: 94565926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-106020)\/135)\/(-76))\/(((-20)\/(-48))\/5).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-3))\/(6*50\/(-360)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34761 is divided by 6952.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 11\/3*k**2 + 2\/3*k + 19\/3*k**3 + 13\/3*k**4 + k**5 = 0 for k.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 58*m + 313. Calculate j(-62).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1140 + 1100. Suppose 25 = -p - 16. Which is bigger: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*a**3 - 3\/8*a**2 + 0 + 0*a - 3\/8*a**4.\nAnswer: -3*a**2*(a + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 2*i + 2*i**3)*(618*i + 1303*i + 934*i)*(2 - 3 - 1) in the form a + w*i**3 + n*i**4 + z*i**2 + f*i and give n.\nAnswer: -11420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 7*u - 3. Let j = -96 - -99. Suppose -2*x = 2*y + 22, -3*x - 2 = -x - j*y. What is n(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7870.001 + 7866. Let i = -4.2461 - c. Let w = i - -0.23. Round w to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 490 and 82087544.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from mbbebebeb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 618*t + 12 = 615*t. What is the third biggest value in 0.3, t, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302084593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508223 = 4054*j + 2529*j - 94409 + 141822 for j.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 8 = 2*v, -2*v - 18 = -3*s - 7*v. Let n be (-62)\/(-124)*(0 - (-84)\/s). Solve 62 = 5*r + n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = 5*o - 0, 2*o - 2 = 0. Let i = 17 + f. Suppose -5*d = 2*p - 39, -2*p + 32 = d - 27. Calculate the remainder when p is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 - 121*b - 48. Determine z(-59).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 + (-7072)\/204. Suppose 0 = 2*f + 92 - 22. Are f and a equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 22*n**2 + 27*n - 87. Give y(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.37 + -0.37. Let i = -1691411\/66 - -25628. Let x = i + -2\/33. What is the third biggest value in d, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101456526 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 353279 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2773.\nAnswer: 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x - 6*x - 5 - 2*x - x**2. Let w be -5*(-2)\/25 + 18\/5. What is i(w)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209068335 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 15636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -24.9. Let b = 0.168 + s. What is b rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 10:04 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 + -1075?\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from ccrvrrvwrc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 725 divide 5183488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*p + 36*p - 54795 = 691*p for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 3*m**2 + 3*m + 3. Let t(w) = w**3 + 10*w**2 - 12*w - 15. Let v be t(-11). Let g(c) = -2*c**3 - 4*c**2 + 3*c + 4. Calculate v*i(l) + 3*g(l).\nAnswer: -2*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6167*w - 6171*w - 5*h - 7, -2*w - 4*h = 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/88? (a) 1 (b) -0.64 (c) 1\/7 (d) -75 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 505, 169, -167, -503, -839, -1175?\n\"Answer: -336*r + 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*y - 2*z, -10 = 11*y - 6*y - 5*z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = -4*i + 48, -2*i + 24 = -2*w. Let a(o) = -5*o**2 - 83*o - 317. Let f be a(-4). Does 26 divide (1\/(3\/i))\/((-2)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 10:52 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.1, -197\/9?\nAnswer: -197\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - g**2 - g. Let b(r) = -5*r**3 + 11*r**2 + 11*r - 1. Let h(z) = -b(z) - 6*y(z). Let k be h(-4). Solve k*w - 6 - 4 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/1 + 3 + -11 + 349. Let u = 729 - v. Is 31 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/2611000 and 89\/334208.\nAnswer: 41776000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*(-7062)\/(-8 - -19). Let j = x - -1167. List the prime factors of j.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 499, 511, 545, 613, 727?\n\"Answer: 2*k**3 - k**2 + k + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 38 - 38 + 38*r + 101*r. Let t(m) = -2*m. What is b(t(o))?\nAnswer: -278*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 30478.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -124*19.6768\nAnswer: -2439.9232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2064 - 5843 - 3488 = -13*z. What is the greatest common divisor of z and 273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -5 (b) -4 (c) 928\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1314127 * -6.7\nAnswer: -8804650.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1628)\/55*((-1275)\/30)\/17.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3447 divided by -280?\nAnswer: -3447\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 0.02163?\nAnswer: -0.0012978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14058 or -140589\/10?\nAnswer: -140589\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31275 < 31276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 2030?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5 - 456*y**4 + 107676*y**3 - 213520*y**2 = 0.\nAnswer: -628, 0, 2, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.635 - -0.6348206. What is z rounded to six decimal places?\nAnswer: -0.000179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zu when two letters picked without replacement from xuzx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of n**3\/6 + n**2\/2 - 358*n. Let f(z) = 28*z**2 - 2*z - 2. Give -f(i) - 2*s(i).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 8*v + 4. Let g(z) = 3*z. Determine g(f(w)).\nAnswer: 24*w + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 125979 divided by 17997\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 4*q - 32 + 65, 3*d = -5*q + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2. Let b(i) = -3*i**2 - 8*i + 3. Let u be b(-7). Let v = 93 + u. Let n(j) = 341 - v*j - 341 + 0*j. What is g(n(r))?\nAnswer: 75*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -4\/5 (b) 0.02 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-1365)*7)\/(1\/(-130))*(-288)\/(-48)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 636669630 to the power of 1\/3, to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 4*y**2 + 6*y + 1. Let h be 0\/((2 - 1)*(-1 - -2)). Suppose -69 = 16*u - 5. Let z = h + u. Calculate w(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 48*c**2 + 157*c - 195. Determine q(51).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 5*j - 5. Let s be m(-7). Let a(i) = i**3 - i**2 - 1. Let h be a(2). What is the third derivative of 7*t**2 + t**h + 0*t**3 - s*t**2 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 163 (b) 1.1 (c) 13.692\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 10\/(-21) - 68\/(-51). Which is the second smallest value? (a) f (b) 0 (c) -1\/3 (d) 6\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6158978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let r be b(1). Suppose -r = 3*w - 25. Calculate the least common multiple of w and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1042851?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + 212406353?\nAnswer: 212406344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 462067.24 and 0.1.\nAnswer: 462067.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -14, 102, 348?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136\/39 + -102\/13. Calculate the common denominator of t and (-86)\/(-22) - 1 - 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98600 divided by -19720\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7941 and 0.3.\nAnswer: 2382.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 65 = 5*m, 5620*m - 5619*m - 5*y = -13 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1)*((-60)\/(-125))\/(-6).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 4 + 11)*(1590*z - 793*z - 774*z) as i*z + s and give i.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(1\/2)\/z*z*z**(2\/11)*z*z*z**(-6)\/z*z**(-5)\/z*z assuming z is positive.\nAnswer: z**(-183\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 31*z = -27*z, 2*r + z + 6*z + 20 = r + 4*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1162382 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 1. Let m be u(1). Let h(x) = m + 1 - 4 - 3*x - 8. Let a be h(-5). Calculate the highest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 + -103. Let m = p + 58. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 757 - 1318. Let p = -370 - j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6786 times -2683\nAnswer: -18206838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 18807 = 26388. Let q = h + 16179. Round q to the nearest 100.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*4*sqrt(567) + 5)**2.\nAnswer: -3600*sqrt(7) + 907225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(4\/(-6))*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 31 + 16 = 0, 0 = 3*l - 5*a - 10950. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {u: 4, x: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 39, -1\/4, -5191, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 10*m = -6*m - 41, 3*m = 3*u + 27 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 108 - 888. Let t = f + -157. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -63, 14, 207, 516, 941?\n\"Answer: 58*v**2 - 97*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*j - 19. Suppose 0 = j*q - 16 + 4. Solve -q*t - x + 11 = -4, -2*x - 2 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0062898618 rounded to 4 dps?\nAnswer: -0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16426, -1\/11, -11, 0.8?\nAnswer: -16426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1202601 (base 7) to base 11\nAnswer: a4424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -444 - -446. Solve -r = d*c - 1 + 6, 2*c = r - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*l**4 - 196*l**2 - 175169.\nAnswer: 68*l**3 - 392*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59174, 118296, 177422, 236552?\nAnswer: 295686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331 (base 6) in base 15?\nAnswer: -36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 95 and -5?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(475) + 0 - sqrt(76)\/(sqrt(256)*3 - sqrt(4)).\nAnswer: 229*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 501 and 30561.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 17497128.\nAnswer: 52491384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + 6 - 2*p**2 - 2*p**3 + 2*p**2. Let d(c) = 4*c**3 + 7*c - 11. Suppose -39*x + 37*x + 4 = -6*r, 0 = -2*x - 2*r + 12. Determine x*a(k) + 3*d(k).\nAnswer: 2*k**3 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 2\/12 - 435\/(-90). Solve t*n - 14 = 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) -0.043 (c) -1\/4 (d) -0.1 (e) -2\/9 (f) -18\/17 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 - -12. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9772 times 1357\nAnswer: -4040.0604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 806 - 36268\/45. Let l be (-114)\/(-22) - 8\/44. Suppose 0 = -l*q + q. Is j equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-512)\/80)\/((-6)\/15). Is -1*(-20)\/i*13196 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228196721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l - 26*l + 115458. What are the prime factors of l?\nAnswer: 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 10, -3, -5, -61, -13.\nAnswer: -61, -13, -6, -5, -3, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 6) + 5 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrrt when four letters picked without replacement from urttwuuruuwurwutwuwu.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, c: 3, w: 1, n: 4, s: 1}. What is prob of picking 1 b and 1 c?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -24b?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 26 + 14. Let v be (j\/14)\/((-2)\/7). Suppose 5*k + v*k - 3*k = 0. Solve k = -y - y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(80) + 5))**2*-6*2.\nAnswer: -840 - 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 - 56. What is the remainder when 93\/k - (-283)\/4 is divided by 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30, 154, 284, 420?\n\"Answer: 3*c**2 + 115*c - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 8 - 1\/8*j**4 + 2*j**3 + 9*j - 12*j**2. Let r(p) be the first derivative of m(p). Factor r(k).\nAnswer: -3*(k - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*m + 10 = 0, -5*m = -4*j + 1 - 11 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*j - 17, 0 = -13*h + 11*h - j - 1. Calculate the greatest common factor of h and 411.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/105*3)\/((-12510)\/14595).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/8 + 2\/4. Let j(k) = k - 5. Let u be j(n). Factor u + 0 - 2*f - 4*f**2 + 4*f**4 + 2*f**5.\nAnswer: 2*f*(f - 1)*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 656*u**2 - 22986*u + 845. What is c(35)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:32 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 718919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w - 51. What is s(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20930, 20872, 20804, 20720, 20614, 20480, 20312?\nAnswer: 20104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5601745?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 35 + (-11 - (-4 + 3)) - 4 - -82.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-415)\/166 - 22\/(-4). Let l(p) be the second derivative of 1\/10*p**y - 15*p + 1\/5*p**2 - 1\/30*p**4 + 0. Suppose l(w) = 0. Calculate w.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-181)\/(-3077))\/(36\/408)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1 - 8*x + 47*x**2 + 19*x**2 + 8*x. Is y(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-30)\/(-4))\/(93\/(-124)))\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 + (-4 + 0 - -9)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -295 and -0.95?\nAnswer: 280.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 - 4*q + 9. Let z(c) = 3*c**2 - 21*c - 235. Let m be z(13). Let p(b) = -b**2 + b. Give m*u(a) - 4*p(a).\nAnswer: -2*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**3\/6 + m**2\/2 - m. Let w be p(3). Suppose -r - 4*g = -21, 4*r + w*g + g = 95. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38457 + 7902 = 17*f. What is the remainder when f is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*o**6 - o**5 + 27*o**3 + 83*o**2 + 12*o + 11 wrt o.\nAnswer: -5880*o**3 - 60*o**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 3 (c) -2 (d) 0.15 (e) -82 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1106 = 32*w - 4494. What is the greatest common factor of w and 6650?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000054651873 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/91, -1\/9, -50?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Let u(m) = m**3 - m**2 + m + 3. Let i be u(0). Suppose 2*f + 4 = -4. Sort f, i, b in descending order.\nAnswer: i, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + 91*k + 1067. Calculate t(-77).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*p - 51 + 18, -40 = 4*a - 4*p. Let f be ((-105)\/a)\/(-7)*-3. Solve -3*g + 5*g = l - 1, g + f*l - 5 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s + 47*s + 123*s + 1360 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2102, 8351, 18744, 33281, 51962, 74787?\nAnswer: 101756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - o + 4. Let w be j(0). Solve 24 = -4*b + w*h, b - 4*h + 14 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12310 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23667173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3018112 divided by 19856\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/491 + 434\/9329. What is the smallest value in p, -2\/75, 0?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11168814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1053.766nm?\nAnswer: 0.001053766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 4*k + 1. Suppose -2*v - 406 = -5*l, -5*v = -3*l - 2*v + 249. Let f(d) = d + 1. Let u be f(-2). Let z be u\/3 - l\/(-15). Determine y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + (sqrt(1573) + 4)*-4 + sqrt(1573) - ((sqrt(832) - sqrt(832)*-1)**2 + 3).\nAnswer: -3347 - 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2543, -2518, -2485, -2438, -2371, -2278?\nAnswer: -2153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s + 3*s)*((1 + 0 + 1)*(1 - 3 + 0) - 6 + 14 - 48).\nAnswer: -88*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357 and 11577.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 i when three letters picked without replacement from pipiipiiifipiippiii?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 23594235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 + 192. Which is the closest to l? (a) -2 (b) 1\/12 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*i - y + 17, -3*i + 3*y - 12 = 0. Is 3 a factor of (-10)\/2*i\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -76, -131, -206, -295, -392, -491?\n\"Answer: u**3 - 16*u**2 - 14*u - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -11, 12, 53, 112, 189, 284?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g - 1\/2*g**2 + 2. Suppose 348 - 303 = 45*m. Give z(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/10 and -3\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497, 1013, 1507, 1967, 2381, 2737, 3023, 3227?\nAnswer: 3337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -92*s + 189. Let k(j) = -467*j + 945. Let q(a) = -2*k(a) + 11*r(a). What is the derivative of q(p) wrt p?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, -2.3, -2\/3, 0.5 in increasing order.\nAnswer: -8, -2.3, -1, -2\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {h: 10, c: 2, z: 3, w: 1, n: 1}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 211197565 and 678.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.394123557 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1853309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 22*i**3 - 8*i + 9. Give a(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7949, 4815, -3681, -20221, -47487?\n\"Answer: -447*i**3 + i**2 - 8*i + 8403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33) + (sqrt(33)*-1 - sqrt(33)))*2)\/sqrt(3)*2 - -5*1*(sqrt(4400) + sqrt(44))\/sqrt(4))**2.\nAnswer: 28611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21378)\/36648 + 26\/(-24)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h + 4. Let q be t(4). Let r be (-39)\/(-12) - 5\/q. Find the second derivative of 4*z**r + 0*z**2 - 2*z**2 + 2*z**2 - 2*z wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3733242\/31031 + -1564\/13. Let d = c - -59687\/14322. Which is greater: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -11*s**3\/6 - s. Suppose -71 + 69 = -r. Let n(t) = -8*t**r + 7*t**2 + t - t. What is v(n(h))?\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10900 or 0.41?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9255524 divided by 292\nAnswer: -31697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42338 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28767 + -13178. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 0. Let y be v\/(-4)*(-5 - -5). Suppose y = 5*r - 16 - 9. Solve -w = -z + 3, 0 = -r*z - 1 + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 25. Let n = b + 81. Let l = 33 + -8. Calculate the remainder when n is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43135680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-132)\/(-9)) - (-18 + 675\/(-297)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w = 2*w. Solve a - 6*a + 15 = w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 125 = -97. Let i(f) = -f**3 + 8*f**2 - 6*f + 4. Calculate i(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 48*z**2 - 163*z - 9. Calculate the remainder when 147 is divided by k(-20).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 10*o - 4. Let c(i) = 2*i**2 + 21*i - 9. What is 6*c(f) - 13*y(f)?\nAnswer: -f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(34*a + 32*a - 17*a)*(4*a - a - a).\nAnswer: 196*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -170 - -301. Does 41 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4 - 1)*0\/(-40). Solve 0 = -3*m - p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -629 - -1169. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+5080912413\nAnswer: 5080912412.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 21514\nAnswer: 13\/21514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 9591.4 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -5*m**4\/66 - m**3\/3 - 2*m**2\/11 + 14*m. Factor k(o).\nAnswer: -2*(o + 2)*(5*o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1159 - 3?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 4 + -770 + 0. What is the tens digit of r\/(-8) - 9\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -34 - 19 - 5*q - 19. Let f be p(-15). Suppose -x - f*x = -4*b + 996, 3*b + 3*x = 729. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32, -76, -130, -194, -268?\n\"Answer: -5*h**2 - 29*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + r - 3*r + 2 = 0, -4*j = r - 5. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 10. Put 3, b, -1 in ascending order.\nAnswer: -1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in decades?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*n**2*x**2 - 45*n**2*x + n**2 - n + 2*x**2 + 6*x - 1 wrt n?\nAnswer: 28*x**2 - 90*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/54*-3*8\/4.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 3523.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/17 (b) -31 (c) 0.1 (d) -65 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6019 and -0.4032004469?\nAnswer: 1.0051004469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341348 is divided by 1355.\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4331 - 4325. Let h = -2 + 6. Let a = r - h. What is the third smallest value in a, -0.2, 1\/5, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16, 54, 92, 130, 168, 206?\n\"Answer: 38*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**3 + 4*p**4 - 49 + 2*p - 19*p**4 + 43 wrt p.\nAnswer: -180*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72085 a multiple of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 425306 + -140009. Let g = 6848611\/24 - t. Let o = g + -411\/8. Calculate the common denominator of -29\/2 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - 30232101123?\nAnswer: -30232101040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a week in minutes?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -16375*f. Let w(h) = 2*h**2. Determine y(w(m)).\nAnswer: -32750*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40407564 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 698, 740, 782?\nAnswer: 824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*p + 1019 + 1572 - 539 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = 9*y + 5, -4*n - 3*y = -15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4266148.\nAnswer: 2, 619, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 - g + 2. Give t(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0756 times 9.3958?\nAnswer: 0.71032248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17165, 34988, 54121, 75218, 98933?\nAnswer: 125920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329*o**2 - 459*o**2 + 140*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*u + 99*u + 70*u + 140*u - 333*u + 61*u.\nAnswer: 151*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -5*a + 8. Suppose 6*d - a*d = 0. Solve c - 3 + 2 = d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -251*r - 501. Let c be x(-6). Calculate the highest common divisor of 469 and c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 1, -3566, 5.\nAnswer: -3566, -5, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/887 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2*(-19 - (10519 - 16)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1852*(-3)\/12*3 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8733 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = -0*s. Suppose -3 = -3*t - 4*n - 11, -4*n = -4. Sort 1, t, s in decreasing order.\nAnswer: s, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25.89882 and 0.04844?\nAnswer: 25.94726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716231182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-20)\/2*(-14)\/(-175))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4021 is divided by 128.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -21*o**2 + 8*o + 173. Let v(t) = 59*t**2 - 25*t - 518. Let i(r) = -14*f(r) - 5*v(r). Determine p so that i(p) = 0.\nAnswer: -8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 427\/45336 or 3?\nAnswer: 427\/45336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, b: 10, w: 2, h: 1}. What is prob of sequence hb?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 - -209. Suppose -70 = 14*w - 19*w. Calculate the highest common factor of a and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2517, -3321, -5483, -9681, -16593, -26897, -41271, -60393?\n\"Answer: -113*u**3 - u**2 - 10*u - 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 111. Let g(m) = -m - 55. Calculate b(g(f)).\nAnswer: -f - 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -52841717 and 1.270974.\nAnswer: -52841715.729026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Suppose 0 = -9*k + 8*k - 24. Let t = -23 - k. Which is the closest to t? (a) m (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2*sqrt(1088) + sqrt(1088))*-4 - sqrt(1088) - sqrt(1088) - (5 + (sqrt(51)\/(sqrt(3)*1))**2)) + -2.\nAnswer: -112*sqrt(17) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*h - 2, 4*h + 15 = -1. Suppose -j*z + 19*z - 60 = 0. Let y(c) = c - 8. Let i be y(z). Is 7 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5648029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -37*g + 58422. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25, -283, -749, -1459, -2449, -3755?\n\"Answer: -6*b**3 - 68*b**2 - 12*b + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 8*k + 6. Give t(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.018 + 4.532. Let r = 4570 + -4570.55. Let p = r + g. Which is the biggest value? (a) 1\/2 (b) 0.3 (c) -2\/5 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31919 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*c + 35 = 6*n, -4*c + 8 = 4*n. Suppose 2*o = n*o - 447. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 13 = 3*l, -5*m + 5*l - 4 = 6. Let x(z) = -z**2 - z. What is x(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*b + b = 292, 4*b + 140 = 2*y. Suppose -a + y = 4*w + 11, w = -2*a + 150. Calculate the highest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let k = 2 - 4. Let p(m) = 1. What is k*p(u) - v(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-66))\/(-1*(-1)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 499332 divided by -1\nAnswer: -499332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 0 + 0)*(-250 + 128 + 123 - 725*v) + (-v + 2*v + 3*v)*(-v + 0 + 0) as z + o*v + t*v**2 and give t.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/32)\/(-1)*-3.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48366.\nAnswer: 2, 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**6\/120 + l**5\/10 + l**4\/24 + l**3\/2 + 2*l**2 - 4. Give k(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, 3, 57, 153, 303, 519, 813, 1197?\nAnswer: 1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 25 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:18 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.22 - 0.2535. Let c = m - 49.5665. Let j = c - -39. Round j to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50*c**4*r**2 + 16*c - 2462*r**2 wrt c?\nAnswer: 200*c**3*r**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 408453*s**3 - 3252749*s**2 wrt s?\nAnswer: 2450718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j**3 - 40*j**2 - 462*j - 74. Is l(-57) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325094903.\nAnswer: 7, 23, 2019223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 43260 divided by 4\nAnswer: 10815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**3 - 3 + 1 + 2*a**3 + 1 + 3*a**3.\nAnswer: 18*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4272 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 373476248 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 674150 rounded to the nearest one thousand?\nAnswer: 674000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m**(3\/2)\/m)\/m))\/m**3*((m*m**(-1))\/m)**(-25))**(-20))**24 assuming m is positive.\nAnswer: m**(-11280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/7 (b) 41 (c) 1\/2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-11)\/((-198)\/45))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4 - 0. Let s(o) = 40*o - 3. Let f be s(i). Let r be 10 + (12\/3 - 3). Calculate the greatest common divisor of f and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27484 + 92782. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**5\/12 + 2*r**2 - 33. Let x(h) = 22*h - 15. Let p(g) = -17*g + 14. Let a(u) = 4*p(u) + 3*x(u). Give i(a(o)).\nAnswer: 20*o**2 - 220*o + 605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2397580?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*w + 109, 88 = 2*i - 0*i - 5*w. Let p(f) = -31 - 4*f - f - 2*f + i. Let z(y) = y - 1. Calculate -p(r) - 5*z(r).\nAnswer: 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88)*1*6 + 2*sqrt(88)*-1)\/(sqrt(121)\/(sqrt(11) - (sqrt(539) + (sqrt(539) - 1*sqrt(539)) + sqrt(539)))))**2.\nAnswer: 33800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 260\/3 - 1291\/15. Let l(f) be the first derivative of -7 + 0*f + 0*f**2 + 0*f**4 + 2*f**3 - i*f**5. What is the third derivative of l(h) wrt h?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -789620 - 0.363.\nAnswer: -789620.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s = -85. Let o = s - 12. Suppose 0 = 7*h - o*h + 25400. What is h rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26120, 25701, 24602, 22493, 19044?\nAnswer: 13925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2280 and 345705.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8) + sqrt(800)*2 + sqrt(8)).\nAnswer: sqrt(7)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*a + 125, 0*l - 47 = -a - 4*l. Let w = a - 31. Suppose -12*i + w = -10*i. Solve -2*f - 6 = 2*z + i*f, 4*f = 3*z + 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(20\/(-5)) + 69. Let x = -3 + 12. What is the greatest common divisor of x and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-2) + (-2)\/4. Suppose -2*d + b = -7. Determine h, given that -2*h - 2*h**3 + d*h**2 + 9*h**3 + 8*h**4 + 7*h**3 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-12)*(0 - 9). Calculate the common denominator of s\/4*(-65)\/(-15) and 101\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68 - -67)\/((-1)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233 - 45 - (-7 + 0) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 3*f - 1375. Suppose 2 = -8*i + 7*i. Find the common denominator of (-1205)\/f - i\/(-10) and -57\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 l, and 1 t when three letters picked without replacement from eltff?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*o - 5083 = 54*o. Calculate the greatest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (-33 + 9)) + (-1 - -11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 312 = 13*g - 175, -2*m - 19 = g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s - 2*s)*(-2*s + 2*s + 2*s)*(20 - 409 - 466 + 182).\nAnswer: 4038*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-6))\/(r*r**(-3\/5)))**(-13))**(-5\/4) assuming r is positive.\nAnswer: r**(-351\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5320462307?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 425177 and 0.2.\nAnswer: 425177.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1858 + 691 + 2328)*(3*d - 7*d + 3 + 6*d) as g*d + u and give g.\nAnswer: 2322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-17) + 0 + 4 - (8 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*w + 15520, 4*w + 473*a - 471*a = 15484. Is w a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(153)\/(sqrt(18)\/sqrt(2)) - (sqrt(170)\/(sqrt(10) + sqrt(90)))**2).\nAnswer: -17\/4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 0*q + 5 + 3\/2*q**2. Let r(w) = -7*w - 4. Let y(v) = -20*v - 11. Let a(g) = -11*r(g) + 4*y(g). Give i(a(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.63*0.17.\nAnswer: 0.4471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 58861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -61420, -122785, -184160, -245551, -306964, -368405?\n\"Answer: -d**3 + d**2 - 61361*d - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 491 and 19481898?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(-2)\/(-6)*3. Calculate the remainder when 10 is divided by u\/5*(2 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -354 - -356. Suppose -8\/15*m**3 + 0 + 2\/15*m + 2\/5*m**g = 0. Calculate m.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7935 + -7932. Suppose 7\/5*x**s + 4\/5 - 19\/5*x**2 + 8\/5*x = 0. Calculate x.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58331 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 31 = -4*h, -h + 7 = j - 0. Suppose h*q - 14 + 6 = 0. Solve -q*w + 0*t = -4*t + 28, 21 = w + 5*t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -93\/95 (c) -0.1 (d) -10 (e) 60\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (84\/(-24))\/(1\/(-2)). Let z(j) = 4*j - 20. Let l be z(d). Is (-2)\/(-3)*168\/l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -42*m**3 - 113*m**2\/2 - 200*m. What is the units digit of r(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -218.6 + 212. Let p = 12.6 + h. What is the biggest value in 4, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10006.78+8099110\nAnswer: 8089103.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8326 is divided by 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 30255 = -2*u. Let w = -4288 - u. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -38. What are the prime factors of (-177)\/(-2)*x\/(-24)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r**3 - 4*r**2 + 2*r. Let h(q) = -7*q**3 - 5*q**2 + 2*q. Suppose 3*n = -0*w - 3*w - 12, -5*n = 2*w + 8. What is w*u(g) + 3*h(g)?\nAnswer: 3*g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1491012 times 13\nAnswer: -19383156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 2847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 5592357*b**2 + 16777078*b - 11184720.\nAnswer: -(b - 2)*(b - 1)*(b + 5592360)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Let h = 1 + -1.05. Let m = -1.95 + h. What is the biggest value in 0.2, m, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -952 - -2229. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1)*17*15\/102\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - -89. Solve -3*x + 4*t = 2 + w, -2*t + 17 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, a: 6, x: 1, b: 2, m: 2}. What is prob of picking 1 a and 1 b?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 298672277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -210*i + 252. Is v(-34) a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 0 to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*p**3 - 176*p**3 + 7947*p - 7950*p.\nAnswer: 19*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/6)\/45*25?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 36 = -w + 12*j, -42 = -2*w - 3*j. Solve -16*v - w*v = -230 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1085*a + 8916. Give j(8).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0)*(180*x**3 - 778*x**2 + 778*x**2) + 0 + x**2 - x**3 + 0 - 2*x.\nAnswer: 539*x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648*p**3 - 1910*p**3 + 1266*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 23*t - 16. Let y be d(-22). What is the hundreds digit of (-2842)\/(-22) + y\/(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -0.5 (c) 7 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y*y\/(y\/y**(-3\/7))*y))**(-37)*((y**(-13)*y)\/y)\/y**(-7))**(7\/6) assuming y is positive.\nAnswer: y**(-206\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-25*10\/(-100).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + y - 3*y - y + y - y + (1 - 4 + 1)*(0*y + y + y))*(0 - 1 - 6) to the form b*y + q and give b.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 + 1103*o + 3 + 1 - o**3 + 1069*o - 2166*o. Let p(g) = g**2 - 1. Calculate h(d) + 4*p(d).\nAnswer: -d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5 - -4)\/(-9) - 5) + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -37, -43, -33, -1, 59, 153, 287?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31656*h + 48072 wrt h.\nAnswer: 31656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*q - 13, -3*r - 5*q = -0*r - 11. Solve 15*b = r*b - 26 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3))**(7\/6)\/((j\/(j*j*j*j\/(j*j**2*j*j)*j*j*j))\/j**2) assuming j is positive.\nAnswer: j**(47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 3 + sqrt(21)\/sqrt(3) - (-2 + 2*sqrt(7)) - 3*(1 + sqrt(448) + sqrt(84)\/(sqrt(12)*2)))**2*-4.\nAnswer: -18223 + 408*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1664 + (14 - (-1 + 12) - (1 + 0)). What is the greatest common divisor of 34 and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.136 times 0.546\nAnswer: -0.074256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 389, 0, -6?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - 1010?\nAnswer: -100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 309275187 to the power of 1\/2, to the nearest integer?\nAnswer: 17586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2565422 is divided by 2393?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 1562\/(-2) - 2. Let n = w + -656. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u)\/u*(u**9\/u)\/u)\/(u*(u\/(u**0\/u)*u)\/u)**(-38) assuming u is positive.\nAnswer: u**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4\/3 - 8*a**3\/3 + 7*a**2 + 8*a\/3 - 20\/3 = 0.\nAnswer: -10, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8*x = -11*x + 243, 5*q + x + 318 = 0. Let d = 66 + q. Solve -5*b = -5*w + 5, -d*w = -b - 6*w + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 18 + (-20 - -9)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 4*q + 324. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, -0.5, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 3, r: 2, k: 4, i: 3, c: 3}. What is prob of picking 1 r and 1 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 20 - (4 + -15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 368, 703, 1036, 1367, 1696, 2023?\n\"Answer: -i**2 + 338*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o + 2*o - 3*o + 17 - 17 + o + 3*o + 2*o - 4*o + (2*o + 3 - 3)*(5 + 2 - 5) to n + x*o and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48\/7? (a) -6 (b) 0 (c) -0.1 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**2\/2 + 35*q - 1. Is h(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = o - 8, 736 = -2*o - 16*a + 692 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.6 + -3.6. Let t = h + -6.1. Is t > -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*m - 43706 = 0, 11*m = 9*m + 4. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 7091199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35271 + -34991. Solve 118 = 54*p + i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 217*y + 429. Calculate m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -n**8\/7 - 3*n**4\/4 - 9*n - 2. Let v(f) be the first derivative of x(f). What is the third derivative of v(m) wrt m?\nAnswer: -960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + (-25 - (11 + -14 + -5)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*u + 27*u + 828 + 271 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6176504 or 6176485?\nAnswer: 6176504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*n - 13, -2*n + 12 = 3*q - 0*n. Suppose -q*z = -12 - 14. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k - 6. Let j be p(-5). Let y(w) = w**3 + 16*w**2 + 18*w + 48. Let i be y(-15). Calculate the highest common divisor of j and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 19 - 11 - 17 - 8*a + 40.\nAnswer: -(a + 1)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1620*v + 72. Let c be s(-5). Suppose -15*n + c = -6*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17c90117 + 8?\nAnswer: 17c90122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -r + 5 + 2, -2 = -2*r - 4*l. Suppose 2*i = r*j - 10*j + 10696, 4*j + 3*i - 8561 = 0. Suppose 0 = -6*d + j - 338. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -25*g - 34 + 28. Does 1.74 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/13 (b) 0.2 (c) 5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65604 in -0.1, 4, -0.18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 4, -1, -5 in ascending order.\nAnswer: -5, -3, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4504 - 5570. Is -1066 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368794139 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113\/887 or -3?\nAnswer: 113\/887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -0.6 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/26339 or 1?\nAnswer: -6\/26339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7*k - 4)*(-3 + 5 - 3)*(-2 + 1 + 3) + 703 - 703 - 52*k.\nAnswer: -38*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1316\/5*(-1 + 26). Let z = -38420 - j. Round z to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -525 + 1110. Let m = -269 + c. What are the prime factors of m?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (8 + -3 - 0 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 352 and 1.\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*u - 24, 2*a + 3*u - 6*u = -1. Let h be (567\/(-6))\/a*2. Does 13 divide h\/(-2)*(-20)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 0*y**2 - y - 1\/6*y**3 - 20. Suppose d - 5*d - 4 = 0. Let a(z) = -3*z. Calculate d*a(f) + q(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 16) to base 13\nAnswer: -16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 788*s - 1193*s = -621*s - 2592 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**4 - n**3 - 3*n**2\/2 - 3*n - 2. Let a(c) = c**3 + c**2 + c + 1. Let z = -25 - -19. Give z*a(f) - 2*y(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -368277 by 368277.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16343524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - k + 0*k)*(3 - 2*k - 3) + (-2*k + 2*k + 3*k**2)*(5 - 1 - 3) - k**2 - 4*k + 4*k.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 327192030 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 3*u + 5*u**2 + (0 - 1 + 0)*(-u + 4*u - u)*(-150*u - 185*u - 124*u + 68*u) as o + g*u**2 + j*u and give g.\nAnswer: 787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a1 (base 14) to base 16.\nAnswer: -525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*q = 16, -5*v - 18 = -3*v + 5*q. Suppose y - 12 = 3*s, -y = 3*s - 0*s + 6. Let r = 5 + 0. Put r, v, s in descending order.\nAnswer: r, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -40 + 11836*j**3 - 6*j - 11835*j**3 - 9 + 21*j - 11*j**2. Determine a(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6956\/38258)\/((-59)\/(-11))\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -232 + 364. Suppose -2*w - 2*j + p = w, -57 = -w - 5*j. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 50, 1\/3, -2\/5, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g**3\/4 - 10271*g**2\/4 + 874429*g\/2 - 97032 = 0 for g.\nAnswer: 2\/9, 208, 933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 355 + 0*j + 463 - 172 + 56 to the form x*j + d and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -77, -113, -163, -227, -305, -397?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvnynnbeffnbnbf. What is prob of sequence nvff?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(0\/1 - 1). Suppose 0 = 12*r - 202 + 10. Let w be 4\/(r\/3)*z. Put 0, w, 5 in descending order.\nAnswer: 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 622389888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -339\/8 - -4423\/104. What is the closest to 29 in 0.3, l, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508620?\nAnswer: 2, 3, 5, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wppppppssspggppw. What is prob of picking 1 w and 1 s?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Which is the second biggest value? (a) -1\/2 (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 28*u**2 - 9*u + 5. Let n be (1\/3)\/(2\/36). Is g(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14803 is divided by 875?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 28, 25, 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5))**14\/(g*g*g*g**6*g\/(g\/(g*g**(2\/23)*g))) assuming g is positive.\nAnswer: g**(-1865\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -a**2\/2 - a + 5. Let v(z) = -13*z - 15. Let u(h) = -d(h) - v(h). What is the tens digit of u(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 divided by -78?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -10. Let l be ((-8)\/20)\/(x\/(-300)). Suppose -7*s + l = -4*s. Which is smaller: 21 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - l - 30. Let a be b(6). Let j(t) = t**3 + t**2 + t + 30. What is j(a)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**3 - 240*h**2 + 2370*h - 6482. Let o(m) = -14*m**3 + 1200*m**2 - 11865*m + 32411. Let n(y) = -11*l(y) - 2*o(y). Factor n(j).\nAnswer: -5*(j - 36)*(j - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*4\/8 - -93. Suppose -4*b + o = 3*d, -2*d = 3*d + 3*b - 135. Suppose 131 = 5*l - d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*k + 148*k - 114*k - 336*k + 151*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 608039833 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 4*u + 6 - 6*u + 0*u. What is the lowest common multiple of o(0) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-1)\/(-5))\/(((-12194)\/(-70))\/67)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6417920 and 41216.\nAnswer: 44925440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/11, -3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000326088989 to five decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4727 + 7241. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -3 + 2 + sqrt(405))**2*3 + 3*(sqrt(405) + -2*sqrt(405) + -1 + sqrt(405))**2)*-1*-2.\nAnswer: -216*sqrt(5) + 9732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000077627 to 7 decimal places.\nAnswer: 0.0000776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**8\/504 - w**7\/315 - w**6\/180 + w**5\/90 + 7*w**2. Factor v(z).\nAnswer: 2*z**2*(z - 1)**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3712, -3725, -3762, -3835, -3956?\nAnswer: -4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33707361 (base 8) to base 10.\nAnswer: -7311089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1. Let w(n) = n + 5. Let t(l) = -3*c(l) + w(l). Let g be t(12). Calculate the highest common divisor of g and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.7 + -9.7. Suppose 15 = g + 4*g. Suppose g*f + f = 0. What is the nearest to f in l, 4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1460 and 892425?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487*v = 486*v + 2*p + 201939, -5*v = p - 1009739. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15362 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 6:18 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and -1.5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -28690*x + 28643. Calculate o(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*c = -7671, -c + 236 = 231. Calculate the highest common factor of 122 and a.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144615)\/(-19282)*(-84)\/(-10).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 62 = -17. Solve 0 = 5*b + 3*h - 19, -b - h + v = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1554 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -113, -169 in ascending order.\nAnswer: -169, -113, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 11. Let f = z - 0.7. Let h = -5 - -2. Which is the smallest value? (a) h (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167555952205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 215373.5g?\nAnswer: 215373500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/139536 and -79\/1922496?\nAnswer: 17302464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147 - -190. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 + 2182\/21. Let o = 138 + -135. What is the nearest to 2\/5 in o, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 2*y + 25. Suppose 0 = -2*s - 6*s - s. Calculate the remainder when 39 is divided by i(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((-12)\/(-2) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -12\/23 (b) -3 (c) 2\/11 (d) 2 (e) 1 (f) -3\/4 (g) 1\/14\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 21*l**2 + 25*l + 11. Give z(-20).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 1. Let l(m) = 2*m**2 + 4*m - 20. Let t(g) = -l(g) - 4*x(g). Let w(k) be the first derivative of t(k). Let f(y) = -15*y**2. Determine w(f(z)).\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(4 + (-610)\/155). Suppose -h - 5 - c = -5*d, 0 = -4*d + 3*h + 20. Suppose 0 = -d*j + 4*j + 204. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l. Let r(b) = 1414*b**2 - 10*b - 4. What is r(j(h))?\nAnswer: 1414*h**2 + 10*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 156, 231, 306, 381?\nAnswer: 456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jllw when four letters picked without replacement from ljrwalllwwl.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -42.93. Let y = r - -13.93. Do y and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97656201*t**2 - 153541186?\nAnswer: -195312402*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, c: 3, b: 5}. Give prob of picking 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -31080700 to the nearest 100000.\nAnswer: -31100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*c - 390. Suppose -31*q + 33*q = -104. Let a = q + 74. What is the remainder when c is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 + 176. Calculate the greatest common divisor of 336 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -24. Solve r = -3*z - 8 + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**3 + 13*u - 13*u - 3*u**3 - u**3 + 0*u**3 + (-1 - 3*u**3 + 1)*(-2 + 1 + 0).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 17, -1\/2.\nAnswer: -4, -1\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (11\/((-484)\/(-24)))\/((-44)\/(-242))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -25*u + 25. Give i(-4).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 + 0*j**2 + 4*j**2)*(0 + 0 + 1 + (2 + 0 - 3)*(-1 + 1 - 2) - 6 + 10 + 7) to the form m*j**2 + a*j + d and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -59*l. Let f be d(-5). Let k = f + -196. Suppose 0*y + y - w = 26, 3*y + 4*w = k. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.4 and 106117.\nAnswer: 106115.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*785\/30 - (1 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182, 0.21, -111\/121, -0.5 in descending order.\nAnswer: 182, 0.21, -0.5, -111\/121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 67774 = 136463 + 283335. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f + 2. Let x(d) = -d - 103. Let y(m) = 6*m + 207. Let k(g) = -2*x(g) - y(g). Determine -2*h(z) - 3*k(z).\nAnswer: 4*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46603 or -46604?\nAnswer: -46604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/(135\/1140) + 1\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 9*o - 12*o = 6, 6 = -3*y - 3*o. Suppose 0 = -10*t - y*t + 30. Calculate the highest common divisor of 69 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3075999452?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 122.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23b0 + -9d?\nAnswer: 2311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 33*r**2 + 187*r + 658. Calculate t(-27).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 28 = -5*w, 3*z - 13 = 68*w - 70*w. Solve -w*x - 3*x = 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6619)\/4 - 1) + (-12)\/48. Does 46 divide ((-4)\/(4\/3))\/(12\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155256 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.112 and -3?\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1 (c) -4\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d**2 + 6*d**2 + 25*d**2 to x + f*d + l*d**2 and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -127010 + -6201?\nAnswer: -135211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359370645?\nAnswer: 3, 5, 157, 152599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 35. Suppose 3 - b = -j. What is the highest common divisor of j and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -eaf (base 16) in base 13?\nAnswer: -1932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**(-4)\/m*m)\/m)*m*(m*m**6\/m*m)\/m)\/(m**2)**20*(m*m**4*m*m\/((m\/(m\/m**2))\/m))**15 assuming m is positive.\nAnswer: m**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z + 3 - 7 - z**2 - 1 - 2 + 5. Suppose 5*p - 13 = 3*c, 1 = 4*p + 2*c - 27. What is m(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**7\/210 - n**6\/60 + 3247*n**4\/24 + 3749*n**3\/2 - 15208*n**2. Differentiate d(c) with respect to c.\nAnswer: 4*c**3 - 6*c**2 + 3247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 3*o**2 + o - 2. Let b be m(7). Let y = -141 + b. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 459 and -9.25548655.\nAnswer: 449.74451345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -402423, 3 in increasing order.\nAnswer: -402423, -5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 0 - 1\/60*z**5 + 0*z + 1\/6*z**4 - 4*z**2 + 0*z**3. What is the second derivative of u(d) wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182.8799ug to grams.\nAnswer: 0.0001828799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, y: 3}. What is prob of sequence yyr?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -2*t**3\/3 + 129*t**2\/2 + 1920*t - 39. What is the derivative of q(i) wrt i?\nAnswer: -4*i + 129","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0704+-266.5\nAnswer: -266.4296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(44)\/sqrt(4) + ((sqrt(33) + (sqrt(66)\/sqrt(2) - sqrt(33)) - sqrt(33))\/sqrt(3))**2 - (-1*-2*sqrt(88))\/sqrt(8).\nAnswer: -sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 - -15 - (1 + -3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 30. Suppose -z*v + 111 = 3. Let y be v - 3 - (-6)\/(-3). What is the greatest common factor of 55 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68469*h**2 + 10382*h - 5?\nAnswer: -136938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.27034204 - 0.26998. Round z to 6 dps.\nAnswer: 0.000362","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*o + 293 - 2253 = 0 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -13) + 9 - 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 473\nAnswer: -8\/473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549 = -6*j + 5*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 223 = -5*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j*j**(3\/2))\/j)\/j)**(-30)\/(j**(3\/8)\/(j**8\/j)) assuming j is positive.\nAnswer: j**(-307\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 106. Let h(k) = k. Let c(x) = 2*x**2 - 2*x + 4. Give l*c(r) - h(r).\nAnswer: -2*r**2 + r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8561 is divided by 165?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -28*x + 225. Let y(r) = 37*r + 50. Let t be y(-2). What is the tens digit of q(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 - (-25)\/(-90). Factor i*v**2 + 0*v - 8\/9.\nAnswer: 2*(v - 2)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 33, -256.\nAnswer: -256, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 1:04 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 2*j**3 + 8*j - 5. Differentiate i(x) with respect to x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770*v**3 - 5*v**2 + 9*v**2 + 6*v**2 - 5*v**2 - 5*v**2.\nAnswer: -770*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - c - 5318 = 0, -4*b + 6374 = -5*c + 2128. Suppose 7*y = 11*y - b. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3151584 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -7*n - 21. Suppose -4*p + 3*p + 4 = 0. Let u(m) = -m + 1 + 0*m - p*m. Let q(y) = y. Calculate n*q(s) - u(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 2\/7 (c) 140 (d) 0.11 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.4131 times -0.2?\nAnswer: -5.28262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i + 8 = 2*t, 2*t - 8 = -i. Solve i = -5*c - 3*z + 5*z - 6, -5*c - 3*z - 16 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4\/11 - 1690*v**3\/11 + 154574*v**2\/11 - 3282878*v\/11 - 3439140\/11 = 0.\nAnswer: -930, -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9837 + 6600 = -100*l - 64*l - 8649 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/3))**47\/(z**(1\/3)\/z**(1\/9)) assuming z is positive.\nAnswer: z**(139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -27\/40*k**6 - 63 + 0*k + 0*k**3 + k**2 - 1\/3*k**4 - 2\/15*k**5. What is the third derivative of s(q) wrt q?\nAnswer: -486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1026577, 2053158, 3079739, 4106320, 5132901, 6159482?\nAnswer: 7186063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from zzyiyeziiyyii?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-2*b**3 + 2*b**3 - 2*b**4) + 4*b**4 - 2*b**4 - b**4 - 1 - 3*b**4 + 1.\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*j**2 + 21*j**2 + 28*j**2 - 169*j**2 + 32*j**2 + 27*j**2 + 36*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 118581 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 63*t + 49 = -60*t, -4*t = 4*l + 28 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - (-63)\/135*6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b + 128. What is the remainder when c(23) is divided by -1 + 4 - (6 + -47)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1656690 and 25\/1848?\nAnswer: 72894360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-70 + 70 + 6*u + (-3*u + 3*u - 2*u)*(-1 + 2 - 2))*(-17 - 10 - 9) in the form i*u + p and give i.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 3*p**5\/20 + 3*p**4\/4 - 6*p**2 + 5*p. Factor b(s).\nAnswer: 3*(s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 smaller than 10642\/253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*h = -5*h - 24, -3*h = 5*f + 32. Is 41 a factor of f*-41*(-4 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17760)\/64*10\/(-25)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 4*w**5 + 20*w**4 + 8*w**3 - 56*w**2 - 12*w + 36 = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.122764 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-13*15\/(-195))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 307127414 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 274?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -15, 19, 103, 255, 493?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 434\/4861 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -i - 3*i. Let v(w) = 28*w + 2. Let h be v(i). Find the common denominator of h\/66 + (-8)\/(-12) and 25\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}