diff --git "a/data/dm_maths/full_data_1/252_11255.jsonl" "b/data/dm_maths/full_data_1/252_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/252_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in -3*h**2 - 215615 + 215615.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-4)\/(-14) + 1 + 9009\/(-147) + 61)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*d + 45*d - 486 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24714525 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -182 (base 10) to base 15\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3)*(-6)\/(-16))\/(-1). Let r = -8 - -7.76. Let a = r - -0.24. What is the smallest value in 5, a, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 1 + 7, -5*i + 2*o + 11 = 0. What are the prime factors of i\/(-2)*(-568)\/3?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1863638 + -1890.\nAnswer: -1890.1863638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 543503334 (base 6) in base 10?\nAnswer: 9697450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-2)*4\/(-3). Let i = -10 + 38. What is the greatest common factor of i and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292908404 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-3)\/(-9)) - 7. Let m be (x + 2)*6\/4. List the prime factors of (-70)\/(-6) - m\/9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/119*2 - ((-4212)\/55692)\/((-210)\/(-304))?\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*t**2*w**3 + 574316727*t**2*w**2 - 20905060*w**3 wrt w.\nAnswer: 24*t**2 - 125430360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -36*k + 3. Give o(2).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) -5 (b) 28 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 47. Suppose 4*z - h = -2*x - 0*x, 50 = 2*x - z. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -509*w**6\/60 + w**4\/8 + w**3\/3 + 5*w**2. Let q be s(-1). Let t = 2066 - q. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 14 = -h, 2*h = 3*z + 13 - 2. Let x(v) be the first derivative of -3\/2*v**2 + 5\/3*v**3 + 0*v - h. What is the second derivative of x(r) wrt r?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*g - 806 + 806)*((-1 - 5 + 4)*(-3*g + g + 5*g) + 0*g - 3*g + g - g + 2*g + 0*g).\nAnswer: -231*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 - 4 + 4 + (1 - 5 + 2)*(-2*l - l + 2*l)*(3*l - l + 0*l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 935 + -0.1.\nAnswer: 934.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148 - 843728?\nAnswer: -843877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(3 - (-14993)\/(-4999))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*u + 3*n = 485*u - 36, n + 23 = -4*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 216*v + 284*v + 302*v.\nAnswer: -v**2 + 802*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -27\/40*i**6 + 0*i + 0*i**5 + 33*i**2 + 0*i**3 - 55\/24*i**4 - 2. What is the second derivative of j(o) wrt o?\nAnswer: -486*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**5\/90 - q**4\/27 - q**3\/27 - 14*q. Let g(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**4 + 88*k**3 + 604. Factor f(o).\nAnswer: 4*o**2*(o + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 8*w**2 - 8*w - 10. Give d(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Suppose k*j - 32 = -4*h, 4*h + 38 = 3*j + 8*h. What are the prime factors of 255\/18 + (-1)\/j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (10 - -7) + 34 + -10 + -21.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 16632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-5) - (-2)\/5. Let u(g) = -g**2 + 7*g + 4. Let l be u(a). Suppose -3*y + l = 2*y. Solve -y*d + 25 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.1 (b) -2 (c) 144 (d) -1.1675\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*a + 4 = 4*h, h + 2*a + 2 = 0. Solve h*c = -p + 5*p + 20, 2*c - 11 = p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -15 + 9 + 5. Let u(c) = c - 7. Let v(p) = -u(p) - 4*y(p). Suppose l + 194*h - 199*h = 30, -4*l + 5*h + 60 = 0. Give v(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/7)*z)\/z*z*z*z*z)\/z**(22\/9)*((z\/z**(-8))\/z)**(1\/8) assuming z is positive.\nAnswer: z**(242\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20547 - 48403 = -1379*y for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q - 2*y + 1, -2*q = -5*y + 4. Let b be (14 + -2)*(-125000)\/q. What is b rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 2*p**2 + 3*p + 2. Suppose -2*z = 5*r + 16, -2*z + 2*r - 2 = -0*r. Let a(t) = -t**3 - 2*t**2 + 2*t + 2. Give z*a(q) + 2*o(q).\nAnswer: -q**3 + 2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5*u - 323575, -3 = -5*u - 23. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-215*m**3 - 190*m**3 + 8*m**3)*(3*m - 2*m + 8*m - m) as k*m**2 + h*m**3 + d*m + s + z*m**4 and give z.\nAnswer: -3176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -8. Let t = 345678819.00000103 - 345678825. Let i = d + t. Round i to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((((sqrt(1539) - 1*sqrt(1539))*4 - sqrt(1539)) + 5 - 3*3*sqrt(1539)*-2)*6)**2.\nAnswer: 55080*sqrt(19) + 16012654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*a**2 + 6\/7 - 8\/7*a.\nAnswer: 2*(a - 3)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 841*c**2 - 22533*c + 603729\/4.\nAnswer: (58*c - 777)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 = -53. Let f be (d\/3)\/(6\/(-54)). Let j be 4\/(-14) + f\/21. Solve -2*o + 3 = -j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3\/5 (c) 0.1 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10485 or 16184?\nAnswer: 16184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -791692 divided by 3788\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.8 (b) -1 (c) 2\/11 (d) 3 (e) 119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 3071286?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184 - -2026\/11. Let n = -59747 + 59750. What is the closest to 8 in -0.04, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 12) to base 7\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 50*q**3 + 29.\nAnswer: -50*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2\/3 - 1139*k\/3 - 10892 = 0. Calculate k.\nAnswer: -28, 1167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0053 - 1.8653. Let f = i - -1.8599422. Round f to six dps.\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z + 593936 = 10*z - 602952. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 32 + -2?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -335\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 + -44. Suppose 73*q + s = 75*q. Solve -2*x = 2*x + q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 24*m**3 + 6*m**2 - 21*m - 12. Let z(o) = -17*o**3 - 4*o**2 + 14*o + 8. Determine -5*c(j) - 7*z(j).\nAnswer: -j**3 - 2*j**2 + 7*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = -3*a, -43 + 22 = -5*l - 3*a. Solve -2*g + 1 = 3*t - 20, 4 = l*g - t for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510\/(-153)*8*6\/(-180)*-9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 11586 + 9844 = 0. What are the prime factors of q?\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -4512?\nAnswer: -4513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -137 in 5\/2, 4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 3*s + 0 + 0*s + 3. Let x(p) = -p**2 + 8*p + 8. Give 8*h(t) - 3*x(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 100 - 659 = -3*y, 3*z = 4*y - 1033. Let g = y - 133. List the prime factors of g.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 4*c**2 - 5*c - 5. Let m be p(-5). Let q(b) = -3*b**2 - 3*b + 3. Let y be q(m). Let f = -24 - y. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*j + 38, -j = -2*s - 5*j - 28. Suppose -3*t - 3 = -0. Let k = t - s. Solve 7 = 4*o - 3*o + 4*f, 0 = k*o - 5*f + 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4 - 73762*n**3 + 1253336*n**2 + 1474632*n - 2654208 = 0.\nAnswer: -2, 1, 18, 36864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -28347?\nAnswer: 28354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -1\/5 (c) -21683 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 2)*(55*w + 2*w - 402*w).\nAnswer: -1380*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v - 54 - 3*v**3 + 6*v**3 + v**3 + 55 to the form l + q*v + k*v**3 + i*v**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4352\/(-48))\/136)\/(-37)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 48578903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 3*v - 13*v to the form i + q*v and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.6, -0.5, -5, -0.2, 46?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 - 66*z - 72 + 41*z + 33*z - 101 as p*z + q and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -76 - -6?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n**2 - 132*n - 1. Let z(r) = 3*r**2 - r - 4. What is the remainder when x(15) is divided by z(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1096*b**5 - 361*b**2 - 3622*b**5 + 361*b**2 - 18 + 59*b wrt b?\nAnswer: -50520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 5. Let h(l) = l - 7. Let j(k) = -5*h(k) + 8*u(k). Calculate j(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -469, -1067, -1665?\n\"Answer: -598*i + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**2 - 3*y + 1. Let g(j) = 6*j**2 - 2*j + 4. Let r(d) = -7*d**2 + 2*d - 5. Let i(c) = 4*g(c) + 3*r(c). Let u(o) = -9*i(o) + 4*q(o). Give u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5642783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 30*v + 122 + 4*v**2 + 130 + 2*v**2 - 4*v**2 - 98. Let u be i(-11). Calculate the greatest common factor of 33 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 383 = 988. Suppose -20*c + 15*c = -k. Suppose o = c*o - 750. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013448 rounded to seven dps?\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*o - 11 + 88, -4*y - 4*o + 340 = 0. Suppose y = 6*k + 11. Is k at most 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((72\/(-99))\/(258\/(-6149)))\/((-1)\/(-3)*-7)?\nAnswer: -52\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 367, 1449, 3251, 5773?\nAnswer: 9015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010915275 to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36 or 2075\/58?\nAnswer: 2075\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1081 divide 203474381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(5\/2)*q)**24\/(q**(13\/2)*q**(-18)*q*q))**(3\/13) assuming q is positive.\nAnswer: q**(561\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*w - 2*w. Suppose w*g - 82 + 22 = 0. Let n(i) = i**3 + 25*i**2 + 64*i - 34. Calculate the remainder when g is divided by n(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**3 + 20*d**2 - 6*d - 6. Let q(v) = -12*v**3 + 39*v**2 - 13*v - 13. Determine -6*q(k) + 13*y(k).\nAnswer: -6*k**3 + 26*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 19940*r + 19944.\nAnswer: -4*(r - 4986)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**2\/g)**(-3\/4))**(1\/28))**(-43) assuming g is positive.\nAnswer: g**(129\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96292704, 192585412, 288878126, 385170846, 481463572?\nAnswer: 577756304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 197398637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11316*b**3 - 3*b**2 + 1. Let u be n(1). Let r = -6241 - u. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64*h**2*u - 56445509*h**2 - 6*h*u**2 + u**2 - 2106*u wrt u?\nAnswer: 64*h**2 - 12*h*u + 2*u - 2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610 + 136 = -79*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 9. Suppose -3*q + 2*q + u = -18, -17 = -q + k*u. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.02 (c) -0.2 (d) -2\/3933\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 2, i: 1, r: 1, s: 2, z: 1}. Give prob of picking 1 r and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-4 - (-2 - 1))) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 12 = -4*d. Determine n, given that -18*n**2 + 0*n**2 - 5*n**3 - 12*n + 2*n**3 - d*n = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.77*467\nAnswer: 359.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206.9 + -208.869. Let h = -0.089 - u. Let z = h + -1.8646. What is z rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 + 0.79. Let v = z - 0.2. Let n = -0.81005 + -0.18995. Sort 0.1, n, v.\nAnswer: n, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:42 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 15, q: 3}. Give prob of picking 3 v.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + x)*((-x**2 - x**2 + 0*x**2)*(8*x - x - x) + x**3 + 2*x**3 - 6*x**3).\nAnswer: -15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 274 + -274.01. Suppose -5*r = -3 + 8. Which is the smallest value? (a) -0.4 (b) r (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, 1, 0, -4 in increasing order.\nAnswer: -4, 0, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-39394)\/393890 - 1\/(-10). Let b = i + 6223507\/3545010. Find the common denominator of b and 83\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2707*w = -2680*w - 135 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 71.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 13*w**2 - 3*w + 22. Determine c(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3 + 4 - 3 - 3 + (-5 + 1 + 2)*(-1 - 6 + 5))*(-136*t**2 - 14*t**2 - t + 10*t**2).\nAnswer: -420*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 11*o - 7. Let j be p(12). Let r(x) = -x**2 - 6*x - 2. Suppose 6*t + 4 + 8 = 0. Let k be r(t). Is j at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*z - 45. Suppose -z*o - 4*o + 16 = 0. Solve 6*v = 7*v + o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + q**2 - 5*q - 8. Let t = -156 - -154. What is the lowest common multiple of x(t) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -10313?\nAnswer: 10304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*l + 6. Suppose 8 = -4*i + 4*s, 3*s + s = -l*i. Find the common denominator of i + 3 + (-107)\/14 and 95\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 468.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r**40\/r))*((r**31\/r)\/r*r*r)\/r*(r\/(r\/r**(1\/15)))**(-2\/21) assuming r is positive.\nAnswer: r**(21733\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64403051, 128806102, 193209153, 257612204?\nAnswer: 322015255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 v when three letters picked without replacement from vvdv?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21983.\nAnswer: 13, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22\/145 - 12149\/1160. Let a be (-3 - 2455\/(-815))*6\/(-16). Let h = a - -3595\/1956. Calculate the common denominator of j and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1876*a - 4. Let y(t) = -t**2. Calculate q(y(i)).\nAnswer: -1876*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-297)\/(-20592)*117\/18.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.06 + 1.16. What is the nearest to w in 10\/9, -1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -1607, -6001, -14569, -28703?\nAnswer: -49795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12216 is divided by 6104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - -2a?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/s**(-2))\/(((s**(-1\/2)\/s)\/s)\/(s**(-1)*s)) assuming s is positive.\nAnswer: s**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.88 - 2.27. Let o = -0.49 - l. Let r = -3.5 - 0.5. Which is the second smallest value? (a) -9 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 - 2 = 0. Let c be (2 - (-2)\/x) + 9. Let o = c - 5. Solve 2*j = o + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2236, -2635, -3300, -4231?\n\"Answer: -133*a**2 - 2103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 - 0.25. Let f = -27.29 + 41.386. Let v = 0.096 - f. What is the third smallest value in a, 1\/3, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28752344998.6 and -10.1.\nAnswer: 28752344988.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*a + 2*a - 213, 0 = -4*a + 12. Let f be k - (12\/(-3))\/(-4). Let o be (-2)\/5 + (-297)\/f. Calculate the greatest common factor of 35 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 2 - 4)*(616*w**2 - 2889*w + 2889*w)*(-w + 6*w - 4*w)*(-1 - 2 - 2*w - 3*w) as m*w**3 + z*w**4 + y*w**2 + k*w + t and give z.\nAnswer: 3080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 2480 divided by -10?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 10:17 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 11 + 0 - 25*k)*(-3*k + 3*k - 2*k**3) in the form w*k**3 + u*k + g*k**2 + y + f*k**4 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 27 + 2*z - 2*z + z - 22. Let h be w(-2). Solve -h*j = -6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 7*q**2 + 29*q - 6. Let m be a(-10). Let r(p) = -3*p**3 - 11. Let d(v) = 2*v**3 + 6. Calculate m*r(s) + 7*d(s).\nAnswer: 2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86\/40 - (-4068)\/(-1695). Let p = -1.1 + 0.1. Which is the nearest to 1? (a) k (b) p (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11411 or 11410?\nAnswer: 11411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/6)*q**(-26)*q**24\/q*q*q\/(q*q**23*q) assuming q is positive.\nAnswer: q**(-155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 913266049 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200000211122101 (base 3) to base 9.\nAnswer: 20024571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -2467.\nAnswer: -14802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 + -110. Suppose 0 = -2*b + 4, -5*b - 18 = -n*w - 0*b. Solve 5*j + 1 = -2*c, -2*c + 2*j = j + w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3100\/496)\/(5\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608 + 159 = 129*g - 394 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108, 83, 40, -21?\n\"Answer: -9*b**2 + 2*b + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200111002 - -2202002?\nAnswer: 2210020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 4*t**2 + 3*t - 2. Suppose -15 = -5*l - v, 5*l - 3*v - 5 = -2*v. Determine a(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -6*t**5 - 49*t - 48. Differentiate y(g) with respect to g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.244 - 4.26701. Let m = -140.5 - -140.477. Let c = m - l. Round c to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 2*b + 34. List the prime factors of j(-5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjc when three letters picked without replacement from {l: 1, o: 2, c: 5, j: 1, m: 5, q: 1}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, 5, -1, -50, -5 in increasing order.\nAnswer: -100, -50, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*(-8)\/42. Let i(l) = 0*l**2 - 6 + 5 + 3*l**2 - l + l**3 + 0*l**2. Let r be i(-3). What is the closest to q in r, -1\/2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325 divided by 65\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/x**(-1))))\/x**6)\/(x*x**(-1)*x)**13*((x**(2\/9)\/x)\/x**(2\/3))\/((x**(-5)\/x)\/(x*x**(-1\/3))) assuming x is positive.\nAnswer: x**(-106\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7020224909 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1656 + -1653. Suppose 4*v + 0*v = 8. Solve -v*t + c*u - 7 = 0, 3*t + 3*u = -u - 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 3, -2, 1521, 763?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**4\/12 + c**3\/3 - 5*c**2\/2 + 2*c. Let b be m(-4). Suppose -v = -2*u + 2, -u = 4*v + 2*u - 36. Solve v*h - 15 = b*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.4 - 3785123?\nAnswer: -3785260.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4486503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.46 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**4\/12 - m**3\/6 - 3*m**2 + 272*m. Calculate d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*l + 188*l + 185*l + 189*l + 183*l - 935*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 28\/6 + 2\/6. Solve 0 = -c*p - 3 - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(85) + (sqrt(85) - 3*(sqrt(85)*-2 - sqrt(85) - sqrt(85)) - sqrt(85)))\/(sqrt(180) - -2*sqrt(180)).\nAnswer: -3 + 13*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -68357*z**4 - 1388?\nAnswer: -273428*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 11:24 AM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**3 - 4*u + 1. Let k(d) = -9*d**3 + 7*d - 1. Suppose -2*z - 174 - 178 = 0. Let i = -183 - z. Give i*w(h) - 4*k(h).\nAnswer: h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 17*a - 528. What is m(31)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3*v + 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 12758*k + 153035. Give o(-12).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzlllzzzlllzzzz?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -644 divided by 109.\nAnswer: -644\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23805 and 2025.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35530*m + 7 - 62 = 35525*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n**3 - n**2. Let m be t(-1). Let z be m\/(-6)*(3 - -6). Let l be -3 - (-126 + (0 - -3)). Calculate the greatest common factor of l and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (880\/70)\/((-134)\/469)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 29*h - 7*h. Solve 0 = -h*d + 8*d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 13) + 0 + 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-3) - (-106 - 11). What are the prime factors of ((-1688)\/10)\/((-12)\/c)?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/5)\/z)**(-39) assuming z is positive.\nAnswer: z**(351\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2. Give r(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0 + 0)*(-u + 2*u - 3*u)*(4*u**2 - 8 + 8).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3*-4)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11800681?\nAnswer: 2399, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(8))\/sqrt(4) + 1*(sqrt(2) + 2).\nAnswer: 2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 1 + (-4 + 1 + 1)*(5 - 3 + 0) + 1 - 1 + 1)*(-6 - 10851*y + 10760*y + 2).\nAnswer: 455*y + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 59. Put g, -4, 7 in ascending order.\nAnswer: g, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -3 (c) 339 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8 = -g. Solve -v = -g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/8 - 180\/25 and 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 26180, -4, 0, 3.\nAnswer: -5, -4, 0, 3, 4, 26180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 386 and 9843.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 21*l**2 - 22*l + 36. Let c = 190 - 110. Suppose -4*d = 4 - c. What is the remainder when b(22) is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14908*y - 4932*y = 768152 for y.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34202736, 34202734, 34202732, 34202730, 34202728?\n\"Answer: -2*r + 34202738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 - (4 - 2) - (455 + -449).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1736 - 1218. Calculate the remainder when 98 is divided by 22*(3\/7 - (-37)\/w).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 15) in base 2?\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8531*n**3*x**2 + 20*n**2*x**3 + 2*n*x**3 - 966*n*x + 7*n + 5*x**3 wrt n.\nAnswer: 51186*n*x**2 + 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**4 + 5*a**4 - 9*a**4)*(7*a - a - 2*a)*(2 + 23 - 51).\nAnswer: 1144*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnennnnnllncn. What is prob of sequence nc?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7533226 rounded to 2 dps?\nAnswer: 4.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101*k*s + 68*k wrt s.\nAnswer: -101*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 597400425 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 143766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*1*1*sqrt(5) + -5*(sqrt(500) - (sqrt(500) + 2)) + sqrt(500) + sqrt(500) + -5)**2.\nAnswer: 250*sqrt(5) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + 3*3*-1*sqrt(80)))**2.\nAnswer: -1800*sqrt(5) + 162025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*s**2)*(4*s - s - 4*s) + 2*s**3 - 4*s**3 + 4*s**3 - 4343*s + 4343*s - 62*s**3 to the form j + o*s**3 + u*s**2 + p*s and give o.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 261279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15*t - 234 + 235 - t. Let f(v) = 2*v. What is g(f(x))?\nAnswer: 28*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**5*f*f**(-2\/19)\/f*f*(f**(1\/3))**(-29))**(-13\/6) assuming f is positive.\nAnswer: f**(1313\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75018 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/9)\/f*f**(-2))\/(f**(-1\/2))**(-2\/17))**(-30) assuming f is positive.\nAnswer: f**(4850\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3138491 is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) - 73\/9. Let f be 1 - 0 - 260\/24. Let y = f - c. Which is smaller: -3 or y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 15 - 3 = 0. Differentiate -s - 11 - 3*t + 10*t**3 + 3*t wrt t.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/12)\/((-10)\/42))\/(51\/68)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + s = -152 - 76, 2*s = -g + 39. Solve -3*u - 3*p = 0, -6 = -g*u + 43*u - 5*p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 7, x: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 569 by 66.\nAnswer: 569\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005155 times 2?\nAnswer: 0.01031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 + 101?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/8)\/(f**(-4\/3)*f) assuming f is positive.\nAnswer: f**(11\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. Let g be h + 0 + 0 - 0. Let u be (52001 - g)\/1*-2. Round u to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -223 + 322. Suppose -u + 3*u - 68 = -2*h, s = 3*u + 2*h. Solve 3*v = 4*a - u, -4*a - 6 = 5*v + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*76\/(-38)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*w + 51 + 30 = 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 1025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 19 + 6. Let z = f - 1. Solve -j = -x + 1, z*x = 2*x - j - 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16831586 (base 9) to base 5.\nAnswer: -4131334102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (12 + -6)) + -2 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 2*z + 0*z - z - 9 + 0*z + 18 + 3*z + z - 6*z + (-2 - 2 + 2)*(-2*z + 6*z - 3*z) - 3*z + 4*z - 3*z + (145 + 2 + 8)*(z + z - 3*z).\nAnswer: -163*z + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*i - 4*i + 24 = 0, -4*s - 3*i = -93. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 3\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 973570, 1947243, 2921020, 3894901?\nAnswer: 4868886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -707 - -692 - (-38 + 2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0.04. Suppose -11*j + 65 = -45. Suppose -j*i = i - 55. Put i, n, 0.5 in decreasing order.\nAnswer: i, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1761046 by -125789.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 34*m**2. Is 17 a factor of j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*w**3 + 186*w**3 - 806*w**3.\nAnswer: -925*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*j - 15, -5*n + 4 - 2 = 4*j. What is the remainder when 11 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from mjxmyxi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/32, 0, -50 in decreasing order.\nAnswer: 1\/32, 0, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypppppyppyp. Give prob of picking 2 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 290.3337 millilitres?\nAnswer: 0.2903337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51279 - 51279.1. Let k = 2 - 5. Let n be (-4)\/6*(12 - 9). What is the nearest to s in n, k, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:55 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*v = -67*v - 60 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-637 + 733 + 271)*(-2 + 5 - 2)*(2*h - 3*h - h)*(2*h**2 + 0*h + 0*h) in the form y + q*h**2 + d*h + s*h**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**4 - 34794*f**3 + 27344296*f**2 - 5299454934*f - 5326834023 = 0.\nAnswer: -35567, -1, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9*(32 - 26). Let d = 75 + -80. Sort d, h, -1, -55.\nAnswer: -55, d, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.04 (c) 63 (d) 3\/5 (e) -2\/13 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -223407.887 to the nearest one hundred.\nAnswer: -223400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 6:25 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**5\/20 - c**4\/4 - 3*c**3\/2 + 5*c**2\/2 + 37*c + 4. Calculate x(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-9) + (-32)\/6. Let g = -8 - -13. Which is the closest to -0.3? (a) -2\/7 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825063 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81499716 to the nearest integer?\nAnswer: 9028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4575*l**4\/2 - 106065*l**3\/4 - 76734*l**2 + 2523*l\/4 = 0.\nAnswer: -29\/5, 0, 1\/122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-9 - 1 - -15) - (-2 - (-11 - 67))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1826, 3651, 5462, 7253, 9018, 10751?\nAnswer: 12446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11 - 23 + 12 - h. Let s(r) = 18*r**2 - 3. Calculate g(s(q)).\nAnswer: -18*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 11. Let i be u(-9). Let s be 1*3 - (-3 + i). Let f = -0.2 + -0.1. What is the second biggest value in f, 0.3, s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2404 + 2225 + 11591 - 3001)*(2*f + 0*f + 1 - 2) as k*f + w and give k.\nAnswer: 26438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194748 or 0.45?\nAnswer: 194748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2011*q + 751*q + 698*q + 750*q.\nAnswer: 188*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121 (base 3) to base 6.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -4*z - 67. Let v be z\/(-707)*(-1 + 2)\/2. Let n = v - -95\/303. Put n, -1\/7, 0.01 in ascending order.\nAnswer: -1\/7, 0.01, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10427400 divided by 2606850.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 670 - 670 + 521*d as l*d + x and give l.\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-390)\/(-6) - (-5520020)\/(-84700)\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 8:34 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9151621 is divided by 784?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**4\/3 + 8*z**3\/3 - 6*z**2 - 2*z - 4. Let c(b) be the first derivative of m(b). Determine n, given that c(n) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Solve 0*m + 4*m = p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -328, 6 in decreasing order.\nAnswer: 6, -2, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l*(l\/(l\/(((l\/(l**(-11\/4)\/l*l))\/l)\/l)*l))\/l))\/l**3)**35 assuming l is positive.\nAnswer: l**(-245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 5 (c) -1.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 147 + -149 + 0 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14246984497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46742048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Round 7116.89 to the nearest 10.\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1446\/10604)\/(4*(-3)\/(-9768))\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -666787 (b) 2 (c) -5 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68868 - 116250. Let h = a + 212582. Round h to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*a + 2 = 0, -2*o - 2*o + a = -8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(102)\/sqrt(6))*-5 + sqrt(17) + sqrt(51)\/(5*sqrt(3)).\nAnswer: -44*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 4*d**2 + 9. Let n be w(3). Suppose 5*m + 4 = -2*a, -3*a + n*m - 2*m = 28. Is -10 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -9, 5*f - 2*f = -d - 7. Let g be (d - 1)*(2 + 3). Let n be (9 - 5)*(-2)\/(-2). Solve 5*k + 5 = q, -5 = -g*q + n*k + k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -1311?\nAnswer: -130b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let j(y) = -1. Suppose 663 - 167 = 4*g. Let t(q) = 4*q + g*q**2 - 2*q + 3 - 127*q**2. Let z be t(-1). Determine z*b(r) - j(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129242758.\nAnswer: 2, 7, 80660197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -3*c + 116. Suppose -95*f = -81*f + c. Put 8, f, 1, -3 in ascending order.\nAnswer: f, -3, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*a - 16*a + 77*a + 2*a to the form q*a + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 175*k**2 + 848*k + 337. Determine z(170).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -44. Calculate the remainder when 68 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 176. Which is the nearest to v? (a) -0.03 (b) -0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2 + 8 + 1. Let q be (-16)\/v - (-12)\/20. Let y = 4 - q. Solve 18 = -y*g + 2*k, 6*g - 3*k = 2*g - 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, 0.1, 86, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ammaaamammmamaaa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2223\/(-1482)*17\/((-306)\/(-1320))?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 790009349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvwvw. What is prob of sequence wvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus 1441?\nAnswer: -1429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = -0*a - 4*o, 0 = -5*o + 5. Suppose -z = -l - 38, a*z + 0*l = -2*l + 96. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -4*k - 9\/4*k**2 + 1\/10*k**5 + 7\/6*k**3 + 60 + 9\/8*k**4. Let q(d) = 0. Calculate d.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:38 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47367684?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:42 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-6))\/(2\/(-4) - -1). Solve 3 = -i + f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q + 7*q + 16*q + 5*q - 39*q. Let j(r) = 46*r**2 - r - 7. What is j(k(b))?\nAnswer: 184*b**2 + 2*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 4*k**2 + 4*k - 1. Let h be i(3). Let j = 4 - 6. Let s be (-2)\/(j\/2) + -1. Let u(w) = w - 1. Let z(f) = -f + 4. Give h*u(r) + s*z(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39868260558 minus 0.16?\nAnswer: -39868260558.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d**8*d))\/d*d)\/d*d**7*d\/(d*d**4*d*d)*d\/((d\/(d\/((d**(-2)*d*d)\/d)))\/d)*d)**(9\/10) assuming d is positive.\nAnswer: d**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 18*i**2 + 24*i - 19. Let z be v(17). Suppose -z = 8*r + 20. Let l = r - -21. Solve 12 = -3*a + l*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n = 41*n + 150. Let j = n - 45. Which is the fourth biggest value? (a) 4 (b) 3 (c) j (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586479589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -503*a**4\/24 - 3*a**3\/2 - 46*a**2. List the prime factors of b(-1).\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*a**2 - a**2 - 28 - 4*a**2 wrt a.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*f + f. Suppose r + f = 2*r. Suppose r*t = 3*t + 84. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a. Let w(b) = 83*b + 1. Determine w(u(j)).\nAnswer: -249*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgngoogggnrrfnrron. What is prob of picking 3 n?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (12 + -21)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**3*s**2 + 2*g**3 - 37772038*g**2*s**3 - 396*g**2*s - g**2 - 4*g*s - 104*g + s wrt s.\nAnswer: -4*g**3 - 226632228*g**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516 + 174 + 175 + 167 - g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11\/2 + 83\/15. Let d(c) be the third derivative of 0*c + 0*c**4 + 0*c**3 - l*c**5 + 9*c**2 + 0. Let j(i) = 10*i. Determine d(j(z)).\nAnswer: -200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3307*j**3 + 3194?\nAnswer: -9921*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 17*o - 80 = -2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 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: Collect the terms in -289*k + 142*k - 109*k - 273*k - 1.\nAnswer: -529*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 119710 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 3220403?\nAnswer: 3220343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -2 - 0) + 3. Suppose -2*j = q + 4, -2*q = -3*j + 7 + 1. Suppose j = -f + 8*f - 7. Which is the third smallest value? (a) z (b) 0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -621? (a) -4 (b) 1354 (c) 2\/17 (d) 0.6 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w*w*w\/w**(-10)*w))\/(w**(2\/21)*w))\/(w\/w**(-18)*(w*w\/w**6*w)\/w) assuming w is positive.\nAnswer: w**(-632\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, g: 13}. What is prob of sequence fgf?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 741895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -24. Let k(j) = -10*j**3 + j**2 - 1. Let s be k(o). List the prime factors of (s\/(-8))\/((-1)\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/52)\/(3\/12). Let d = 0.185 + -0.085. Which is the closest to d? (a) r (b) 0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.4, -2 in ascending order.\nAnswer: -6, -2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*x, 6*x - 11*x - 13 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -98 + 96, -2*c - 4*z = -28. Solve -2*x + 11*l - 14*l + 6 = 0, 5*x - 5*l + c = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 27 (b) 0 (c) 138\/11 (d) -2 (e) 2\/11 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 143 + -185 - ((3 - (0 + -18)) + -6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -563. Suppose k + 3*k - m = -4*n, -237 = -2*n + 3*k. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3\/9 + 91*i**2\/3 - 539*i\/9 - 271\/3 = 0?\nAnswer: -1, 3, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*t - g, -5*g = -4*t + 25 - 5. Let h = -209 + 210. Suppose 0 = 2*z + h - 5. Solve 0 = t*q + 5*c, -4*q + 0*q = -z*c + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 13500020 = -3*v, 2*v + 12906208 = -3*r + 3906196. Round v to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -70 - (-21 - 6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474 = -10*c - 544 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 + 142 = -i. Suppose 2*r - 5 - 17 = -4*z, -2*z = 3*r - 49. Let a = r - 12. Solve 4 = i*v - a*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26472*p - 12166 = 26314*p for p.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85b78 (base 13) to base 15.\nAnswer: -4b806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*29\/522*-846\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4, -13, -15\/4, 2, -15 in increasing order.\nAnswer: -15, -13, -4, -15\/4, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1335 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 228\/23 - 4645\/276. What is the common denominator of g and (-1)\/1 - (116\/(-3422) - 10926\/1416)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2606.\nAnswer: -3\/2606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 418258073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -1\/2 (b) 5 (c) -11 (d) -2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346069?\nAnswer: 97, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, h: 2, t: 1, p: 4}. Give prob of sequence tfpp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d + 3186 + 3342 = 0. Let q be (-1984)\/d + (-5)\/(-3). Solve -6*v = q + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) 14852 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 4. Let m be t(-7). Suppose n - 5 = -c + m*n, 29 = 3*c + n. What is the remainder when 11 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26540 and 133.\nAnswer: 3529820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780\/13*1\/2.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m - 53. Let c be f(-8). Calculate the greatest common divisor of 69 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181 - 181. Suppose f*x - 20*x = -400. Solve l = -8*w + 3*w + 10, 4*l - x = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4603304 divided by -75464\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 97*h**2*x + 418*h - 138*x - 112 wrt h.\nAnswer: 194*h*x + 418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2843643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(0*f + 4*f - 3*f) - 2 + 363770*f - 2 - 363810*f.\nAnswer: -42*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by (-1)\/(-2)*17*(-9 + 11).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q. Let y(z) = -1266*z - 7. Give c(y(j)).\nAnswer: -2532*j - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.21539 to one dp.\nAnswer: 58.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*a + 27*a + 90 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -230*q + 7. Let b(g) be the second derivative of -115*g**3\/6 + g**2\/2 - 32*g - 1. Let i(x) = 10*b(x) - 4*s(x). What is the derivative of i(o) wrt o?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -15*c**2 - 3*c + 16. Let r(t) = -13*t**2 - 2*t + 17. What is 2*b(s) - 3*r(s)?\nAnswer: 9*s**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 - 6 = 0. Let x(v) = v**3. Let y be x(-2). Let j = y + 11. Calculate the remainder when s is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8817 + -8829. Let b(c) = -c**3 - 11*c**2 + 17*c + 72. Give b(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 21*a + 6. Let j be o(2). Suppose j = 3*r + 6. Suppose r*m = 15*m - 3. Solve 0 = -m*q - q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6) + (-5 - (728\/(-222) + 382\/(-1146))).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 11)\/(2 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1955 by -105.\nAnswer: 391\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4466 is divided by 236?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 747229331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -7 - (-12)\/9*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82522 and 968?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 16, -76 + 29 = -5*o + 3*c. Let a(y) = 3082*y**2 - 3*y + 3. Let g be a(o). Round g to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*d - b, -5*b = 16*d - 11*d + 35. Which is bigger: d or -1\/3069?\nAnswer: -1\/3069","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-112)\/24 + (-2)\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9879*a**2*s + 1506*a - 4*s wrt a.\nAnswer: -19758*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -1065.67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4981211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 2*p**2 + 11*p + 6. Give a(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p - 9. Let w(s) = -s - 1. Let t(n) = m(n) - 3*w(n). Let d(i) = -i**3 + 4*i**2 + i - 15. Let q be d(3). Give t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*282.9417\nAnswer: -84.88251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3573512, 7147116, 10720720, 14294324?\nAnswer: 17867928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 1 = 0, -18*o + 210 = 2*y + 226 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*g**3*n*z + 33*g**3*z + g**3 - 19*g**2*z - 9*n*z wrt n.\nAnswer: 10*g**3*z - 9*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6082819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 23*w + 9. Let r be a(-2). Let o = -36 - r. What is the tens digit of 3017\/42 + o\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**3*n)\/n)\/n**(-2)*(n*n**(-1))**(-8\/11) assuming n is positive.\nAnswer: n**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and 120456.\nAnswer: 361368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 5*c + 6. Let o(b) = 2*b**3 - b**2 + 10*b + 11. Let g(l) = -11*f(l) + 6*o(l). Factor g(h).\nAnswer: h*(h - 5)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(j**2 - 6*j**2 + 4*j**2)*(-20 + 52 + 11).\nAnswer: 43*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33144*b**2 + 21251*b**2 - 12083*b**2.\nAnswer: 42312*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83\/((-16683)\/335)*18\/(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 883 - 94 = 0. Let d = m - -220. What are the prime factors of d?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)\/i)**29*i*i*i*i\/i**1*i*i**(-2)*i assuming i is positive.\nAnswer: i**(-228\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -25 + -1 - (22 + (45 - 67))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 16*j. Let q(c) = 4*c - 85827. Give q(z(s)).\nAnswer: 64*s - 85827","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-4)*6\/(252\/(-7))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-1)\/2 - (-1160)\/(-174).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*g + 3*g - 4*r, -g - 5 = 3*r. Suppose 9 = 2*d + c, 7*c = -5*d + 2*c + 35. What is the lowest common multiple of d and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401 + 395 = 3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 899904\/20 - (4\/5)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.44 - 8.1. Let y = -1.34 + q. Let p = -147\/4 - -71\/2. What is the nearest to 2 in y, p, -3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30543.51 to the nearest 100.\nAnswer: -30500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14090669 and 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2\/3)\/(82\/(-369))*-7\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4 - 15 + 11*c - 7 - 5. Let g be l(3). Determine z so that 6*z + 19*z**3 + 15*z**g - 2*z + z + 5*z**4 - 4*z**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3 (b) 0 (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 123783 at most as big as -1516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let a(f) = -f**3 + 9*f**2 - 7*f - 7. Let g be a(8). What is the closest to g in 2\/21, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a. Let p(n) = 3*n**2 - 2. Let x(q) = q**2 + 1. Let b(v) = p(v) - 2*x(v). Let z(h) be the first derivative of b(h). Determine z(y(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 8*s**3 - 2*s - 10*s**2 + s - 2*s**3 + 5*s**2 as x*s**2 + c + g*s**3 + h*s and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -322428*-676\nAnswer: 217961328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76232459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -8 - 13. Let v(x) = x - 6. Let p be v(r). Solve -j = p - 5 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*n + 3*s = 3, 0 = 4*s - 20. Suppose a - 2*w = 3*w + 28, 4*a = -n*w - 3. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 1. Let z be s(4). Suppose -3*k - 65 = -4*i, 2*i = 3*i + k - 18. Let f = z + i. What is the third smallest value in -3, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 52.2377 millilitres?\nAnswer: 0.0522377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10*(-8)\/20 + 15. Suppose -p + 5*f = 2*f - l, -2*f - 17 = -p. What is the remainder when 219 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*g + 72*g = -709*g - 12975 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/8*(0 - -1). Let w = -1\/35 - 33\/70. Let a = -2.6 - -3.1. What is the closest to -1\/3 in a, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.807343 meters?\nAnswer: 4807343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -47. What is the second smallest value in -4, a, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 take away 0.3?\nAnswer: -88.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.370898941 rounded to two decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 32 = -3*s + s, 30 = -5*s + 5*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -3\/7 (c) -0.4072 (d) 3\/2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 604*d - 439. Let g be u(1). Solve -9*s = 24*s - g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16456413 divided by -3?\nAnswer: 5485471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t**2 + 9*t**2 - 18*t**2)*(1 + 3 - 3)*(1 - 5 + 3)*(3 + 7 - 4).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2448)*2 + sqrt(17))**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w + 58. Suppose -14*c - 132 = -26*c. Let x be r(c). Put x, 1, -4, -9 in descending order.\nAnswer: x, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3036 and -0.4181.\nAnswer: -0.12693516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a*((a*a**2)\/a)\/a*a)**2 assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*n**4 + 50434*n**3 - n**2 + 4*n - 159549?\nAnswer: -60*n**2 + 302604*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1991953?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 59037 divided by -4\nAnswer: -59037\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 175*q**2 - 45*q + 45. Let j(o) = -8*o**2 + 2*o - 2. What is -45*j(m) - 2*x(m)?\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**5\/60 + h**4\/36 + h**3\/18 - h**2\/6 - 5*h. Factor u(q).\nAnswer: -(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -48\/22105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-845)\/91 + 9)\/((-1)\/49). Suppose 0 = 4*n - 2*i + 20 - y, 0 = -4*n + 4*i - 12. Solve 3*o + h - 3*h - 3 = n, -4*o = 2*h - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71345*g**2 - 20*g + 3344.\nAnswer: -142690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 542*i**4 + 229*i**2*m + 41323*i*m + 2*i - 3*m wrt i?\nAnswer: 6504*i**2 + 458*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*c + 73*c + 122. Which is greater: c or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 3712*j + 1053*j - 2122*j + 2975*j.\nAnswer: 5618*j + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y + 5. Let k be l(4). Suppose -c = -0*c - k. What is the remainder when c is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*n = 2*n + 4, 2*n = 4*v - 4. Let y = v + -4. What is the second smallest value in -2\/5, y, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 36*a**2 - 4919*a - 1. Let y(x) = -5*x**2 + 704*x. Give 3*w(r) + 22*y(r).\nAnswer: -2*r**2 + 731*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2613 + -2586. What is the greatest common divisor of y and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 7. What is the smallest common multiple of 10 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 2*d + 1. Let x be y(-1). Suppose -4*m - 17 - 3 = x. Let q = 23 + m. Calculate the smallest common multiple of 10 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 308, 752, 1330, 2042, 2888?\nAnswer: 3868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - ((-88)\/154 + 1886\/(-399)). Are j and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2\/3 + 1452*n - 127980 = 0.\nAnswer: 90, 4266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**5\/15 - a**4\/24 + a**2 - 3. Let u(i) be the second derivative of g(i). What is the second derivative of u(t) wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8806057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 - (-9 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 - w**2 - 420*w - 418. Let a be m(-1). Suppose 4\/3*r**5 + 8\/3*r**a - 4\/3*r**3 + 0*r + 0 - 8\/3*r**2 = 0. What is r?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*n + 14*n + 16*n)*(-n - n + 6*n)*(-1 + 0 - 3)*(0*n - n - 2*n)*(3 - 3 + n)*(-5 + 3 + 6) as x*n + s + v*n**3 + l*n**2 + j*n**4 and give j.\nAnswer: 4224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 41 = 47. What is the remainder when (-4)\/22 + 202\/q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.134796 bigger than -526\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 8. Let b be (7\/14 + 0)*-30. Let p = d - b. Calculate the highest common factor of 21 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, s: 4, g: 8, b: 3}. What is prob of sequence ob?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(325) + sqrt(1300) + 1)*2)**2.\nAnswer: 160*sqrt(13) + 20804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 15 = -3*k + k, 4*k = -4*h + 20. Let q = 0 + 0.1. Let g be (0 - -3)*-1 - 100\/(-50). What is the nearest to q in g, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(20\/4))\/(17\/765)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - ((-28)\/21)\/(3\/(-6)). Sort 5\/2, g, 8 in decreasing order.\nAnswer: 8, 5\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -2052, -6912, -16368, -31950, -55188, -87612, -130752?\nAnswer: -186138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69344 divided by -394.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -20*q - 3 + 1 + 9*q + 7. Determine t(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5059*t - 5056*t - 6 = 0. Solve -5*w + t*s = 22, 3*w - 4*s = 7 - 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j - 32*j + 55*j + 7 = -28, 0 = r + j - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*b - 30, -5*j + 10 = b + 4*b. Suppose 5*p + 15 = -3*o, -o - 4*o + b*p = -15. Let g be o\/(-4 + (0 - -2)). Solve 3*n + g = 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1764 and 4263?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 3:01 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 1519282224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 6, f: 1, c: 3, m: 1, h: 1}. Give prob of picking 1 e, 1 g, and 1 h.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - 4*o + 31, -w - 449*o + 241 = -388*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*f + 15*l - 13*l, -3*l - 7 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-12.\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -297375, -297296, -297217, -297138?\n\"Answer: 79*p - 297454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-4) - -5 - -37) + -2. Let c(m) = m**3 + 5*m**2 + 4*m + 2. Let g be c(-3). Let y = j - g. What are the prime factors of y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11857\/22 - 540. Let f = -1579\/8 - -199. What is the common denominator of f and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 330022?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 279, -4, -4\/5, -283647?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -5, 956, -4, -6561\/5, 5.\nAnswer: -6561\/5, -5, -4, 1\/2, 5, 956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*m**3*n - 31*m**3 - 16*m**2*n**3 - 8*m**2 + 5242*m*n**3 + 126*n**3 wrt m.\nAnswer: 468*m*n - 186*m - 32*n**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 + -44. Sort v, -5, 4 in ascending order.\nAnswer: -5, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:26 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1589*z = -34622 + 109305 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-8)*(-22)\/5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**(3\/2)*a))\/a)**(-1\/74)\/(a**(-3)*a*a**(-4\/3)) assuming a is positive.\nAnswer: a**(1507\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -84, -577, -1918, -4533, -8848, -15289?\n\"Answer: -71*w**3 + 2*w**2 - 2*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12840 and 240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1044409, 2088867, 3133351, 4177861, 5222397, 6266959, 7311547?\nAnswer: 8356161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 4:41 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -329, -473, -597, -695, -761, -789?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -146582 * -0.081\nAnswer: 11873.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a = 64*a - 650. What is the third biggest value in a, -6, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6677311601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 6:20 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) + (-130)\/(-15) + -4. Suppose 0 = z - 2*z. Let g(w) = -w**3 - w + 2. Let n be g(z). Solve 5*c + v*h = -0*c + 17, 0 = -n*c + 3*h - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -92 (c) -2\/3 (d) 0.04 (e) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 8 + 14 = 0. Let w be ((-96)\/(-20) - z)\/((-1)\/(-5)). Calculate the greatest common factor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111111110100101000 - -100?\nAnswer: -11111111110100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 60*r**3 - r - 1. Calculate d(-1).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120521 is divided by 15017.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 8*v = -18*v - 748 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (428\/(-36) + 12)\/(3\/9). Which is the nearest to -1\/2? (a) 2 (b) -2.32 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**5\/5 - 4472*u**4\/5 + 223404*u**3\/5 - 548928*u**2\/5 - 755568*u = 0. What is u?\nAnswer: -1166, -3, 0, 6, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -5. Which is the biggest value? (a) 5 (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/132*(-1)\/(2\/500) and -107\/3000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 260*a**2 + 109*a + 15. Does 4 divide i(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aamnvfv. Give prob of sequence mf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1546, 1577, 1634, 1729, 1874, 2081, 2362, 2729?\n\"Answer: 2*n**3 + n**2 + 14*n + 1529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5648, -5599, -5438, -5159, -4756, -4223?\n\"Answer: i**3 + 50*i**2 - 108*i - 5591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 9. Let p be o(7). Let c(k) = -10*k - 1. Let z be c(p). What is the greatest common factor of z and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 15*a**2 + 21*a - 362. List the prime factors of d(31).\nAnswer: 5, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -554.3 - -554. What is the fourth smallest value in -2\/17, n, -2, -11?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116795 - -34295. What is n rounded to the nearest 1000?\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 r, and 1 h when four letters picked without replacement from xxbrhmcm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 314, 346, 428, 584, 838?\nAnswer: 1214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, g: 3, w: 7}. Give prob of sequence gwdd.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + (-2)\/(-2))\/((-1)\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*u)*(0 + 0 + 3*u**2)*(-u + 3*u - 4*u).\nAnswer: 18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*l - 79*l + 5*l in the form x*l + r and give x.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h = 234 - 6. What is the second smallest value in -0.2, -3\/8, -2, h?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*s - 4 + 4 - 248*s + 144*s)*(4 + 0 - 6).\nAnswer: 524*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*h = -126, h + 8 - 6 = 0. Let k be 2\/(y\/(-36) + (-2)\/9). Solve c + 13 = -5*p, k*p = -5*c + 2*c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98a9 (base 13) in base 2?\nAnswer: -101001100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2514 (base 6) to base 8.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0021457 to four decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -9802338 to the nearest 10000.\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by 466\nAnswer: -95\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7267687*s**3 - 6804100 wrt s?\nAnswer: -21803061*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4496 + -4492. What is the greatest common factor of 484 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 41*m**2 + 366*m - 21. Does 4 divide p(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11 = 5*w, -3*w + 0*w = 3*m + 21. Suppose -p = 2*p - 150. Let c = p + w. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702985003?\nAnswer: 7, 17, 5907437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 28. Let b(r) be the second derivative of -2*r + 1\/6*r**h + 0 - 2*r**2. What is b(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {s: 7, p: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q + 1. Let m(y) = -10320*y**2 + 4298*y + 12. Let d(z) = -m(z) + 12*v(z). What is the second derivative of d(a) wrt a?\nAnswer: 20640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 = 3*u, -5*u = -u + 2*w + 28. Sort -5, u, 0 in increasing order.\nAnswer: u, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -7*r - 5. Suppose 0 = 3*y + n + 2894 - 9759, -y - r*n = -2279. Suppose -5*m = y - 6334. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*m + 299*m = 60648. Is 21 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 436 (base 10) to base 9\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 7*g + 9. What is h(-10)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -511407502092932 minus -5?\nAnswer: -511407502092927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/45*1184\/(-48)*5\/20?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.8271 - 22.36.\nAnswer: -17.5329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -17736144.32.\nAnswer: 17736142.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n + 28 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/6 or 291?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9337 is divided by 54?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 0 + sqrt(396) + sqrt(396) - sqrt(396))*-5.\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l - 3*l + 4*l + (2 - 3 + 3)*(-5*l - l + 4*l))*(4 + 4 - 2 + (-2 + 0 + 3)*(-1 - 5 + 5))*(1 - 1 + 9*l) as a*l + c + w*l**2 and give w.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1317722 - -5?\nAnswer: -1317715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + i - 10. Find the third derivative of 4*r**3 - 6*r**i + r + 0*r**3 - r wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 46 = 4*b, -5*u + 7*u - 31 = -3*b. Suppose 4*z + 18 = -d, 4*z - 2*d + 3 = -b. Let h = z - -7. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 5*i**2 + 7*i + 9. Let t be n(-6). Let s be (-17)\/(51\/18) - -8. Suppose 49 + 55 = 5*l - s*u, -2*u + 76 = 4*l. Solve -l = 8*z - t*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r + 1\/72*r**4 + 1\/90*r**5 + 1\/360*r**6 + 0*r**3 + 0 + 1\/2*r**2. Let s(a) be the first derivative of i(a). Factor s(n).\nAnswer: n*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 28*y + 29. Let c be i(-29). Find the common denominator of -3 + c + 1 - 1043\/(-490) and 65\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 186*z + 56. Let h be f(-31). What is h rounded to the nearest 100?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 32 + 65 + 30 - 150 + 22. Let q(u) = -63*u**2 + 45. Give -45*p(f) - q(f).\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-9\/2))**(-9\/5) assuming g is positive.\nAnswer: g**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 17 = -9. Suppose 0 = g*u - 3*u + 8. Let v(m) = -7*m**2 + m**2 + u*m**2. Let n(d) = 3*d. What is v(n(l))?\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -237.49 + -4.01. Round x to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o**2. Let r = 11 - 9. Let d be 3\/(-6) + 10\/4. Let j(p) = 4*p**r + 0*p**2 + p**2 - 3*p**d. Calculate j(w(x)).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f - 5*k + 40 = -24*f, 6*f - 3*k = 108. Solve 12*b = -f*b - 192 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6607*b + 11275.\nAnswer: -6607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23254 and 5646494?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 x when three letters picked without replacement from hhfhsxafhhf.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006513 is divided by 335482?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32212035\/41 or 785659?\nAnswer: 32212035\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 4, 1\/3, 3, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 175*p**2 - 7912*p - 22188.\nAnswer: -(p + 3)*(p + 86)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*z - 109 + 13 = -172*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + ((-6)\/(-20))\/((-1)\/(-10)). Solve -3*d - 9 = -3*n, -4 = -4*n - 3*d + t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 85705.\nAnswer: 514230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a factor of 2768846375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 8, -943, -50.\nAnswer: -943, -50, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 7 - 1 - 302*h - 8.\nAnswer: -302*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 29665 + 261*d**3 - 2486 + 0*d.\nAnswer: 261*d**3 - 32151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198367751?\nAnswer: 449, 441799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 12 = -11*s. Let q be ((-3)\/6)\/(2\/s). Let x = 0.38 - -0.02. Which is the third smallest value? (a) q (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 10, z: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0139461513 rounded to four dps?\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 2*o**2 - 2*o + 3. Suppose -2*y - 10 = -h, 4*h - y = -3*y + 70. Let n = h - 15. Let s be r(n). Solve s = -5*k + 9 + 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = 0. Let z(q) = -q**3 + q**2 + 16. What is the tens digit of z(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.18588 centimeters?\nAnswer: 71.8588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + a = 296411 - 296380, 0 = 4*n - 2*a + 32 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/12402 and -55\/114374?\nAnswer: 1029366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 3 + sqrt(17))*3 - sqrt(17) - (0 + sqrt(2057)) - (2 + -5 + sqrt(17) + sqrt(85)\/(sqrt(5) - sqrt(5)*-2)))**2.\nAnswer: -176*sqrt(17) + 9524\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 109*j + 3 - 4 + 5 - 106*j. What is d(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 19*s - 23\/10*s**5 + 9\/2*s**2 + 0*s**3 + 1\/6*s**4 + 6. Find the third derivative of d(k) wrt k.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(95) + (sqrt(95) - (4*3*sqrt(95) + sqrt(95))) - -1*sqrt(95)*2))\/(6*sqrt(15)\/(sqrt(15)\/sqrt(45))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*h = -1224, 0 = -n - 0*h - 5*h - 284. Let c = n - -305. What is the closest to c in 9, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1614*f**5 - 96*f**4 - 1552600*f wrt f.\nAnswer: -32280*f**3 - 1152*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(3\/13))\/(n*n**(-1\/9))*(n**(1\/8)\/n)**(-9\/4) assuming n is positive.\nAnswer: n**(6923\/3744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -656, 0.5, -1, -71?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, -11, 0.5, 0.75?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tstsgsgss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v**3 + 2*v**2 - 2*v + 2. Let h be -6 + -6 + 1 - -2. Let l(g) = 28*g**3 - 9*g**2 + 9*g - 9. What is h*t(f) - 2*l(f)?\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 50468, -3, 2, 3, -1 in decreasing order.\nAnswer: 50468, 4, 3, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00356901 rounded to 4 dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 12*b - 23. Let d be f(-9). Solve d*j = -0*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(20)*1 + -3.\nAnswer: -5 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 3. Suppose -4 = -4*u + 5*u. Let p be d(u). Solve 0 = 4*f, -4*l + 4 + 0 = -p*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1295 and 1664 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -270 - -2159\/8. Let o = 35 - 51. Calculate the common denominator of 94*(-2)\/o - 0 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -652 or -1024?\nAnswer: -1024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k. Let z(m) = 129*m - 33. Suppose -r - 2*r - 6 = 0. Let t(c) = 8*c - 2. Let w(h) = r*z(h) + 33*t(h). What is -10*n(q) + 3*w(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*x = -15, -4*q + 75 = -x + 6*x. Let o be ((-10)\/q)\/((-1)\/(-5)). Let u(v) = -15*v**3 + 3*v**2 + 2*v - 1. Is u(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5 - 7 = 0. Suppose 3*k = 4*k + 15. Let t = 29 + k. What is the remainder when t is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vylvydj. Give prob of sequence dv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18990 * 0.2.\nAnswer: 3798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3240 by -648.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 55*g**3 + 5051*g**2 - 801*g + 2479. Give q(-92).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + -49)*252\/(-588)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 + (-203)\/(-28))\/((-1)\/(-4)). Let x(l) = 49*l**3 - l. Give x(m).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + 2\/7. Let j(z) = -z - 1. Let x(l) = -2*l + 8. Let w be x(7). Let o be j(w). Solve o*f = -a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -m + 5*u, -7*u + 10*u = m - 18. Suppose 16 = -4*y, -m*y - 42 = 2*p - 5*p. Which is the third biggest value? (a) -2\/9 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 0.2, 38, 2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.90397 and -3.\nAnswer: 5.71191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2021 or 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 5*h**3 + 3*h**3 + (3*h**2 - 3*h**2 + 4*h**2)*(9*h + 42*h - 14*h) as v + g*h**3 + a*h + f*h**2 and give g.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2 - 8048792*y + 8097881582408 = 0 for y.\nAnswer: 2012198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v - 25*v + 5 = 4*c, 1 = -4*c - v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13040.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.34 (b) 78 (c) 4 (d) 1\/6 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 + 170.9. Let i = l + -14. Let m be 0\/2 + -1 + -2. What is the closest to i in m, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -685 + 188*f**2 - 1197*f**2 - 1245*f**2 - 378.\nAnswer: -2254*f**2 - 1063","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 16*d**2 - 15*d + 1. Suppose -r + 4*s - 23 = 0, 0 = -5*s + 10. Suppose -j - 3 = -2*j. Calculate the remainder when j is divided by i(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.4, 466?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 36*o + 308. Give l(-10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-22)*(-8318750)\/45375\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*c - 1 - 6. Put 1, -3, 137, c in descending order.\nAnswer: 137, c, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 33*h + 10. Determine x(31).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 25*z + 20 = 24*z, -15 = 3*q - 5*z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*c = 92*c + 89*c - 912. What is the remainder when 3694 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*f = -14*d + 16*d - 82*f - 30, 3*d - 2*d = 67*f - 192 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 1:15 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -1\/4, -98310, -2\/83, -2\/15, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/27)*r*r)\/(r**(-5)*r)*r\/(r\/(r\/((r\/r**(-2\/3)*r)\/r*r)))*r\/(r**(1\/5)\/r) assuming r is positive.\nAnswer: r**(838\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 558065, 1116949, 1675837, 2234729, 2793625?\n\"Answer: 2*q**2 + 558878*q - 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43487, -40370, -35175, -27902?\nAnswer: -18551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - 6*v)*(-3 + 3 + 1) + (0 - 2*v + 0)*(2 - 1 - 4) - 9*v - 3*v - 11*v.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 86 - 83. What is the derivative of 457*d**3 + 8*d**4 - w - 457*d**3 wrt d?\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 1101 = -1185 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3237710+-4\nAnswer: -3237714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 27*o**2 + 61*o - 102. List the prime factors of l(-20).\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3825 is divided by 1098.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 430, 860, 1290?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 3. Let n = -9 - v. Let a be (5*n)\/(2\/(-5750)). Round a to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 10*i = -4, l - 1 = i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 3864.\nAnswer: 19320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b = -64. Calculate the lowest common multiple of b and (-3)\/(-18) - 310\/24*-2.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 214.4 - 214. What is the biggest value in b, 2\/9, 17, -1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from iiiijjijijij.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 459.8273 decades in millennia?\nAnswer: 4.598273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - (101 + -120 + 101).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 220?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 41. Suppose f - 31 - 17 = -q, -10 = o*f. Is 29 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -47*m + 10. What is y(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 24c?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 6*i**2 + 2*i - 8. Let j be d(6). Let b(w) = 8*w + j*w - 4*w. Let f(y) be the first derivative of -y**3\/3 - 4947. Calculate b(f(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - w - 1 + 3 = 0, -5*w + 8 = -3*k. Let b be 812\/21 - (k\/3)\/1. Let q = b + -18. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 h, and 1 z when three letters picked without replacement from {s: 4, g: 2, h: 1, z: 6, n: 4}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 11?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11234\/4)\/((2 - 4)\/(-4)). What is the third derivative of 2 - 99*f**2 + 5568*f**3 - 2 - h*f**3 wrt f?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2224.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412830?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -9 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2142794, 7, 4 in ascending order.\nAnswer: 4, 7, 2142794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 2:05 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f + s + 4, 0 = -f + 4*s + 23. Suppose 5*m - 12 = 2*m. Suppose -66 = -m*r - 3*c, -3*c = -r - r + 24. What is the highest common factor of r and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 4:37 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, g: 7}. Give prob of sequence gg.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12403526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 11 = -r - 24, -2*u + 3*r + 9 = 0. Solve 4*c = 2*m + 4, c - 1 = 2*m + u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*p = -1318, 0 = -3*s + 8*p - 4*p + 973. List the prime factors of s.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 74 - 359*i + 101*i - 20.\nAnswer: -258*i - 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*t - 43*t - 1766*t**4 - 37*t + 39*t + 46 wrt t.\nAnswer: -21192*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 1. Let w = -1015 + 1003. Let p(q) = 6*q**2 + 6*q - 6. Determine w*t(b) - 2*p(b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -277 + 186. Let h = b - -131. Let r(w) = 16*w**2 - 19*w - 2. Let p be r(-2). Calculate the highest common factor of p and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/6 - 863*j**2\/6 - 5116*j\/3 - 8510\/3.\nAnswer: -(j + 2)*(j + 10)*(j + 851)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 185567.857 + -185468. Let f = -0.143 - t. Let n = 121.5 + f. What is n rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 - 74616240*w\/13 - 695947908967200\/13.\nAnswer: -2*(w + 18654060)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15444422 (base 6) in base 13?\nAnswer: 163772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 + 16\/(-8) - -11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244.78 rounded to the nearest integer?\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1188523 is divided by 2251?\nAnswer: 2246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 8:42 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 802.2 rounded to the nearest ten?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -10. Suppose 210 = -38*s + 742. Let d = s - p. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34394416 to the power of 1\/2, to the nearest integer?\nAnswer: 5865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 5*k**2 - 4*k - 1. Let q be w(3). Suppose -m = -q*m - 8. Let y be -3 - (m - 1 - 0). Solve -4*r - 35 = -3*c, -4*r - c - 10 - 5 = y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - x + 18, 2*g - 4*x + 21 = -g. Let s be (-1)\/(5\/30*g). Is s\/(-5) + (-1854)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t + 859 = 20*t + 299 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y - 6. Let l = -122 - -30. Let j = l + 88. Give s(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1792)*1 - sqrt(1792))*5 + sqrt(1792))*-5)**2 - ((sqrt(847)*2 + 0 - sqrt(847))**2 + sqrt(49)\/(sqrt(49)\/sqrt(63))).\nAnswer: -3*sqrt(7) + 43953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:35 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36555 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6132754 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -19*j + 1672. Give o(90).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2546212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(637) - sqrt(637)*2))**2.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 1. Let h be b(5). Sort 0, -3, h in increasing order.\nAnswer: -3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 11:49 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35140 + 7*t**2 + 35140.\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4399 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -44*((-3127)\/6490 - (-3)\/10). Solve 3*t = -4*h + 2, -12*h + m = t - 7*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -10315?\nAnswer: 10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114.53 + 121.597. Let q = 0.167 - d. Round q to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-33) - (66\/9 - -1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.8 + -2. Let o be (0 - (-4)\/(-14)) + (-874)\/(-266). Which is the biggest value? (a) 0.7 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/44 (b) 1218 (c) -0.2 (d) -1\/8 (e) -2\/7 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 + -607\/6. Calculate the common denominator of 125\/12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3638 + 6204. Suppose s = 4*p - 118. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*c)\/(c\/(c\/(c*c**8*c)))*(c\/(c*(c*c**(-4\/7))\/c)*c)\/c*c**(3\/19) assuming c is positive.\nAnswer: c**(-36\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a kilometer in meters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (7 - (5 - (-3 + 13) - -6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5 - 49028*p**4 - 149865600*p**3 + 2259815168*p**2 + 2409631744*p = 0. Calculate p.\nAnswer: -6136, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - -34. Let v = p + -56.3. Let o = v + 6. Is o greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (6 - (-35 - -6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5019293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/8*(-704)\/(-80). Which is the closest to k? (a) 4\/7 (b) -2\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o + 14. Give g(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7702, 7525, 7348, 7171, 6994?\n\"Answer: -177*c + 7879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158176190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 30*l + 36 - 27*l + 44. What are the prime factors of m(20)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 525 and 5985.\nAnswer: 29925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -55*t - 1. Let w be k(1). Let j = w + 115. Suppose 0 = -4*s - y + 421, -y - 45 = -s + j. What is the greatest common divisor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.060876 to 4 dps.\nAnswer: 0.0609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 101036 and 3752268.\nAnswer: 108815772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 19*q = -q + 589 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*g + 4*q - 29 = 0, 2*g + 5*q - 31 = 0. Let y(b) = -b + 2. Let s be y(g). Let t be ((-2)\/(-1) - 2) + s. Does -3 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/8 - 580*q**3 + 243111*q**2\/8 = 0. What is q?\nAnswer: 0, 53, 4587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 297 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 75*f + 480. Let x be k(-43). Solve 114*r = -3*l + 112*r - x, 0 = -2*l + 3*r - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 884 and 7514.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*a - 11, 5*a + 12 = -3*q - 5. Let y = -476.5 + 423. Let v = 54.41 + y. Do a and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j + 376 - 689 + 315.\nAnswer: -36*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 4*c - 3*c + 9*l - 3, 59 = -5*c + 17*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 10*c**2 + 4*c - 25. Calculate k(11).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 7*i**6\/120 + i**4\/24 - i**3\/6 - 2*i**2. Let a(r) be the first derivative of v(r). What is the units digit of a(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 16 = -y. What is the tens digit of 53 - (3 + -1 - y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5397326 divided by 13.\nAnswer: 5397326\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1623180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 1, 5, 11538, 0 in decreasing order.\nAnswer: 11538, 5, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, a: 2, y: 2, t: 3, r: 3}. Give prob of sequence rr.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10*3*120\/(-54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.145 * 8080\nAnswer: 1171.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 6. Let f be u(11). Suppose -w + 3*x = -20, 0 = -5*w - f*x + 64 + 56. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 20 (b) 7.8 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -19\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -229*i**5*o**2 + 17*i**5 - 2503*i**2*o + 6*o**2 wrt i.\nAnswer: -13740*i**2*o**2 + 1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 2*g**2 + g + 27. Determine v(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 3*x - 8. Let t be (-34)\/(-2023)*68\/8. Sort -5, t, x.\nAnswer: -5, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 f when four letters picked without replacement from gggffgggeggegffg?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x + 5*a = -10, 0 = 5*x - 2*a - 4. Suppose -m + 4 + 185 = x. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3222 rounded to two decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21, 14, 3, -12, -31, -54, -81?\n\"Answer: -2*h**2 - h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.2 (b) 2 (c) -57 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86593511?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3432?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -95, -119, -143, -167, -191?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-270)\/(-54) + -10*1. Let o = 509 + -509.5. What is the nearest to 0.02 in -2\/9, l, o?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -6.5. Let f = 1.63 - 1.6. Sort 5, f, u in ascending order.\nAnswer: u, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 6:40 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292775230.\nAnswer: 2, 5, 3733, 34631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34760065?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -56*116\/29*(-1)\/(-14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -627 = -4*q + 1949. Is (-4)\/18 - q\/(-63) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 79014?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22a39 (base 12) to base 9\nAnswer: 70600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 140.772 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (4 + -1 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2) + 27\/1. Suppose b - 2*b + o = 0. Suppose -2*i = -3*i + m + 8, 3*i - b = m. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 4*z = 20. Suppose -z*v + 0*p + 168 = 4*p, 2*v - p = 90. Let t = 116 - v. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -14*l + 17*l. Solve 8 = -4*d - l*y, -d = d - 5*y - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/6 + 7*f**5\/60 + f**4\/4 - 2*f**3\/3 - 2*f**2 - 46. Let t be p(-2). Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 932\nAnswer: -1\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1241 times -5\nAnswer: 6205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2108 = 4*x + k - 5*k, -3*k = x - 519. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1277*p + j = -1273*p - 9, -5*j = 5*p - 55 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by (-2 + 0)\/((-3)\/27).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 14 + -23 + 5\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.45 in -4.6, 1\/7, -2\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -189.7 times -0.047\nAnswer: 8.9159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.240274 rounded to two dps?\nAnswer: 11.24","meta":{"dup_signals":{},"source":"numbers__round_number_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: Collect the terms in -3*c - 3*c + 3*c + 0*c + 11*c**3.\nAnswer: 11*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + (67 - -4) - 1.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + -3.14. Let m = 3 + n. Which is the smallest value? (a) -0.06 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23023201300 - -21?\nAnswer: 23023201321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**6\/30 - 34*b**5\/5 - 21*b**3\/2 + 3*b**2 - 285*b. Find the second derivative of u(j) wrt j.\nAnswer: 12*j**2 - 816*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 69431 = -4*r, 11503 = o + 5*r - 2400. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/27)\/(-16)*3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 92.9 (c) -2 (d) 0.5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12321 - 27*m**2 - 12321.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*y**2 + 45*y**2 + 77656*y**3 - 38844*y**3 - 38830*y**3.\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 16 - 44. Let y = t - 14. Solve 3 = -2*j - y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7364 by -935.\nAnswer: -7364\/935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(15\/4)\/(w*w**(7\/4)))**32)**(2\/9))**37 assuming w is positive.\nAnswer: w**(2368\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 65137.21 seconds in milliseconds?\nAnswer: 65137210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(sqrt(231)\/(5*sqrt(33)\/sqrt(3)))\/(-4*(5*(sqrt(7) + sqrt(112)) - sqrt(7))).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64860 = 4*g - 63337 - 105039. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442841 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38\/15 or 3?\nAnswer: 38\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(192) - (-1 + sqrt(192))) + 4))**2 - ((sqrt(27) + -1 + sqrt(27))*1 - (sqrt(1728)*-1 - sqrt(1728) - sqrt(1728)))**2.\nAnswer: -18153 + 156*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3655883692*h**2 - 3*h**3 + 3655883692*h**2.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/5 - 9*f**2.\nAnswer: 3*f**2*(f - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0257 - -5.0843. Let a = u - 0.11. Let r = 46 + -51. Put a, -3, r in decreasing order.\nAnswer: a, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - -0.2. Let h = 8 - 8.1. Let g = 1 + -0.7. What is the nearest to h in g, 2, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2 - h - 2. What is m(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 1, 0.1, -1\/11, -2 in decreasing order.\nAnswer: 1, 0.1, -1\/11, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -621 + 606. What are the prime factors of 1\/((w\/9)\/(-5)) + 555?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from 56846453074519.\nAnswer: 56846453074527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**3 + 4 + 3*m**2 + m**2 - 3*m**3 + 3*m. Let i be g(-3). Factor 0*q - i*q + 7*q + 3*q**2.\nAnswer: 3*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132 + 364. Suppose -n = -3*y + y. Suppose 82 + y = 6*x. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 5 - 3*p**4 - 6*p**3 - 2*p + 5*p**3 to the form i*p**2 + l*p**4 + f*p + h*p**3 + v and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35870965 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m + 6. What is the units digit of (272\/56)\/(m\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 8*g - 43 + 23.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.443989 nanometers in meters?\nAnswer: 0.000000008443989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 5\/24*x**4 - 4*x**2 + 0 + 2\/3*x**3 + 0*x + 1\/60*x**5. Let y be i(-5). Solve -4*h + 11 = 2*j - 5*j, -y*j + 4*h = 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -672206689 divided by 93583.\nAnswer: -7183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1284.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*a - 424, r + 2*a - 55 = 25. Let g = 0 + r. Suppose -10*z + g = -6*z. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**6\/120 + h**5\/10 + h**4\/8 + 2*h**2. Let l be p(3). What is the tens digit of (-101)\/(-9) - 8\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -174 - -174. Suppose 16*h - 27*h + 17699 = a. What are the prime factors of h?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*r + 33 + 71, -5*r - 5 = 0. Let m = z + -21. Suppose -102 = -6*v - m. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32912342, 65824681, 98737020, 131649359, 164561698, 197474037?\nAnswer: 230386376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/75*(-4)\/14*-44*(-11)\/(-88).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-80)*2840\/1775?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-4 - (-510)\/125)\/(-6)). Let k = t + 81. Calculate the remainder when 10 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147250 by 1.\nAnswer: 147250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.5999809 rounded to 0 dps?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 = 4*y - 139. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8*h + 3*h + 2*h)*(3*h - 2*h**2 - 3*h) + (-2 + 4*h**2 + 2)*(0*h - 5*h + 3*h) + 2*h - h**3 - 2*h)*(61*h - 131*h + 63*h).\nAnswer: 21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*u + 224*u - 3 = 0, 0 = -4*y + 3*u - 35. Let f(g) = 0 + 0 + 5*g. Let m(n) = -14*n + 1. Calculate y*f(i) - 3*m(i).\nAnswer: 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37868*a**4 - a**3 - 108151*a**2 wrt a?\nAnswer: 908832*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*m**3 + 15644*m**2 - 46924*m**2 + 15642*m**2 + 71*m**3 + 65*m**3 + 15638*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 + -63. Sort 0.2, 3, i.\nAnswer: 0.2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/8*(-14)\/28*10\/50.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 88\/48*-3*-194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 + 25*c + 17. Let u(f) = -f**2 + 6*f + 4. Let p(t) = 9*u(t) - 2*z(t). Let r be p(4). Solve d + 6 = -0*y + y, y - 11 = r*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Let i = -3 + j. Suppose i = -u - 2*u + 27. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 582*g*m*t**2 + 236*g*t**2 + t**2 wrt m?\nAnswer: 582*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4208047 and 222.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (sqrt(140)\/sqrt(7) - (0 + sqrt(45) + sqrt(5)))**2 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416 and 613600?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1743*s**2 - 41828*s + 29. Calculate z(-24).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 31. What is the remainder when 40 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 106*f - 108*f + 4. Solve 2*p = -4*h, f*h + 1 + 3 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 981 greater than or equal to 1071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -10*d + 16. Let o(z) = 2*z - 3. Let c = -7 + 11. Let y = c - 1. Let l(n) = y*s(n) + 16*o(n). Let v(a) = 13*a**2. What is v(l(w))?\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -273908, -6, -13.\nAnswer: -273908, -13, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(6\/7)*f))\/f)**29*(f**(6\/5)*f)**37)**(-2\/59) assuming f is positive.\nAnswer: f**(-1928\/2065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 46499, -2, 1\/9, -10\/11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 73356808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -14 - (56 + -16) - -2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.005? (a) 3 (b) 0 (c) -5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 397266258 or 2780863810\/7?\nAnswer: 397266258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6679.079 tonnes to nanograms.\nAnswer: 6679079000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 + 3*l**4 - 3*l**4 + (-2*l + 0*l + l)*(-2*l**3 + 4*l**3 - l**3) - 55*l**3 + 57*l**3 - l**4 + 2*l**4.\nAnswer: -l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 862813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12157316*k**3*l + k**2 + 1481973*k*l - 2*l wrt k.\nAnswer: 72943896*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2*(-5*(-7)\/(-210))\/((-30)\/3420)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-548*a + 442 - 442 + a**2)*(1 + 2 - 1)*(-1 - 1 + 0).\nAnswer: -4*a**2 + 2192*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 6:05 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 8, 2\/5, 1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**7\/n)*n**(1\/17)\/n assuming n is positive.\nAnswer: n**(-101\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 k, and 1 s when three letters picked without replacement from qknmsql?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 + -2.995. Round o to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 - 0) + 0 + 5 + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 14*g. Let r(v) = -5*v. Let s be (5\/(-10) + -1)*(-2 + 0). Let o(h) = -2*h. Let z(p) = s*o(p) - r(p). Calculate w(z(x)).\nAnswer: -2*x**2 - 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 940 - 905. Let h be g\/(-3) + 26\/39. Is -17 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q = 4*u - 76, -5*u - q + 86 = 0. Let z = -95 - -104. Calculate the greatest common divisor of u and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*o - 149 + 292 - 141)*(2 + 2 - 3)*(-1 + 0 + 0)*(3*o + 4*o - 5*o) as m + c*o + a*o**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 3. Let i(y) = y**2 + 14*y + 4. Let f be i(-14). What is the remainder when 24 is divided by r(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from huhhahhhuhha?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 8.5. Let t be (4\/((-32)\/6))\/((-15)\/(-8)). Which is the second smallest value? (a) z (b) t (c) -9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 118, 288, 532, 850, 1242?\nAnswer: 1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -1 + 12\/15*(-5330)\/(-13) and 763?\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3059?\nAnswer: 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 13) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = w + 142, 206 = 108*a - 105*a - 5*w. Calculate the lowest common multiple of a and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 3*l - 6. Let j be n(-5). Suppose -2*o = 7*m - 4*m - 72, -5*m + j*o = -120. Calculate the remainder when m is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 3. Let w be f(6). Suppose -15 = -4*q - q. Let z = 1 + q. Solve 4*i - i - 14 = -x, -w = x - z*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 + 3*k - 6. Is q(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3899196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s**4 + 2*s**3 - 20*s**2 + 20*s. Let v(h) = h**3 - h**2 + h. Let q(a) = u(a) - 12*v(a). Factor q(z).\nAnswer: 2*z*(z - 2)*(z + 1)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**4\/2 + 1533*l**3\/2 - 27699*l**2 + 52320*l = 0.\nAnswer: -545, 0, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 4*w**2 + w - 4. Let s be r(4). Let v = 15 - 5. Suppose -4*c - d + 15 = s, d + d = -v. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5 - 200*q**4 + 1912*q**3 - 3008*q**2 - 12572*q - 7448 = 0. What is q?\nAnswer: -1, 7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/14)\/(192\/(-4032))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 426892672 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/3)\/(i\/(i\/(i**1\/i)))*i**4\/(i\/i**7*i*i*i)*(i**(-6\/13)\/((i*i**(-3\/2)*i)\/i))**(6\/13) assuming i is positive.\nAnswer: i**(3896\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2 and -3\/1239322?\nAnswer: 1239322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 60*b**2 + 0 + 1\/24*b**4 + 0*b**5 - 1\/3*b**3 - 23\/40*b**6 + 0*b. Find the second derivative of x(f) wrt f.\nAnswer: -414*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 - 1 + 5*x**2 + 3)*(-58*x - 25*x - 48*x).\nAnswer: -786*x**3 - 262*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100215253 + 14?\nAnswer: -100215235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55987.63967 + 0.36033. Let l = m + -55963.9948. Let i = 24 - l. What is i rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236701009 rounded to the nearest 10000?\nAnswer: -236700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54595 and 850645?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.6, 2, 12, -5, -0.329, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 17*x - 13. Suppose 0 = 4*a + a + 70. List the prime factors of j(a).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 0*l**2 + 0 + 1\/3*l**3 - 2\/5*l**5 + 0*l**4 + 6*l. Find the second derivative of x(b) wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 9. Let i be n(7). Let y = 31 + -31. Which is smaller: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -25*b**4\/4 - 6*b**3 + 28*b**2 - 13*b - 2165. Find the second derivative of t(r) wrt r.\nAnswer: -150*r - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 - -3. Let z = -0.6 - b. Let s = 24 + -25. What is the nearest to s in -3, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5) - 4*(-33)\/220.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 6 (b) -1\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 4*d - 1. Let y be w(5). Let n = -60 - -86. Suppose -3 + y = u, -5*x = u - n. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 650\/90 - (-4)\/(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2280 and 4560.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 39*z**2 + 13*z + 25. Is c(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39039135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 7*d**2 - 6*d - 6. Let p = 6 - 1. Let f be l(p). Suppose -3 = 5*q - 13. Solve q*v - f = 3*j - 6, -j - 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*j - 27 = 56*j + 30*j - 607 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 2*n**2 + 48*n + 198. Determine h(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2868320 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -51*g. What are the prime factors of r(-1)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 6) in base 10?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 5 - (-12 + 3 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*a + 173, -4*z - a + 6*a = -289. Let m = z + 161. Let s = m + -126. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 2*n**2 - 3*n + 7. Suppose 20 = -4*r + 36. List the prime factors of p(r).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 5.7. Suppose 14 + 11 = 5*o. Suppose 3 + 7 = k - 2*i, k - i = o. Which is the nearest to 1? (a) k (b) m (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*1*sqrt(77) - sqrt(77)) + sqrt(77))*-1)\/(sqrt(275) - (sqrt(275)*-2 - sqrt(275)) - (sqrt(33)*1)\/sqrt(3)).\nAnswer: -2*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from jnn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248972 = 3088*w + 628*w for w.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 37 + 51 = 2*v, -2*v + 19 = t for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -605, -1206, -1809, -2414, -3021?\n\"Answer: -i**2 - 598*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r + 2. What is s(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-210)\/(-45) + 1\/3. Let a(q) = -15 + q**2 + 20 - n + 2*q. What is a(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 508, 0.1 in increasing order.\nAnswer: -2\/3, 0.1, 508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:18 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 58 = -2*q + q, 0 = w - 5*q - 2. Let l be (-6)\/w - (-24)\/9. Suppose 4*f = -f - 5, -3*f + 42 = l*i. What is the highest common factor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 4:57 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437092852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*r**3)*(17 + 64 + 3)*(5*r + 17*r - 5*r).\nAnswer: 2856*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 12:15 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z. Suppose -3*w + 5 = -7. Let q(d) = 671*d - 663*d + 3 - 3. Give w*v(m) + q(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**3)\/d**(-1\/7) assuming d is positive.\nAnswer: d**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + p = 4*p - 73, 6*z - 95 = 6*z - 2*z - 3*p - 70 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 4, -18\/5 in decreasing order.\nAnswer: 4, -1\/6, -18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(2\/23)\/q)))**(-1\/22))**(-2\/19) assuming q is positive.\nAnswer: q**(-21\/4807)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 24539064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9713110 is divided by 8309?\nAnswer: 8198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 16.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azz when three letters picked without replacement from djzdadzadzpzza?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40.999804 + -41. What is u rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3703.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 169646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 2*q**2 - 3*q + 3. Let u be p(3). Suppose -2*a + 40 = u*h, -3*a - 11 = 1. Solve g - 5*g = -h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 41 = h, -321*h - 320*h = -943*h + 311*h + 27 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppr when three letters picked without replacement from {p: 3, r: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1233*f + 34524. Let j be q(-28). Determine c so that j + 6\/5*c**2 - 6\/5*c**4 + 0*c + 3\/5*c**3 - 3\/5*c**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 14782*l + 221714. Give d(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**3\/6 + 3*v. Let d(r) = -r**2 + 2*r**2 + 2*r**2. What is d(s(h))?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -45571 times -2?\nAnswer: 91142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 29*d**2 + 4*d - 21. What is the tens digit of l(29)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20674 - 34631 = 640*b + 589*b for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from zllyyyzyzyzzzllt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189524.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 821 in descending order.\nAnswer: 821, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 2*k - 1\/2*k**2 - 5. Calculate m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -380 (base 11) to base 14\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 156 + 196 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j + 5. Suppose -3*w + 5 = -2*w. Let h be s(w). Let m = 57 + h. What is the remainder when 32 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 5*b**2 - 6. Let h be d(-5). Let u be 4\/h + 14\/3. What is u rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/288 and 57\/55136?\nAnswer: 496224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 93. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeffexaxxxmxem. What is prob of picking 2 f and 1 e?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = -3*f + 170. Solve f = -l, 16 - 21 = 5*k - 3*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 8054\nAnswer: 2\/4027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3883 times -3?\nAnswer: 11649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 5*q = -38, 42*f - 5*q - 6 = 40*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 83536028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-387)\/(-135) - (-2)\/15. Let v be ((-2)\/5)\/((-98)\/(-42) - c). Find r such that -v + 2\/5*r + 1\/5*r**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 7 - 1)*(-8 + 8 - 24*x**3 + (2*x + x - 2*x)*(-4*x**2 + x**2 + 2*x**2)).\nAnswer: 75*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18685 - -0.3?\nAnswer: -18684.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/9 (b) 28 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*j - 28 = 0, 27 = 3*v + 4*j + 6. Let a = -94\/21 - -71\/7. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 4922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*w - 149*w + 24 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 767.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-1)\/205)*11655\/(-75). What is the first derivative of 142*u**3 + 100 - 31857*u**2 + a*u**2 wrt u?\nAnswer: 426*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104651 (base 7) in base 6?\nAnswer: 221405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 214\/5889665 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 199 = 7*t. Suppose t*d - 45*d + 3 = 0. What is the least common multiple of 4 and (132\/(-6))\/(d + -4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjjccwwdvdwccjfvfdv. Give prob of sequence jcfd.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 635\/2, 0.4, -288, -2\/5, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 22*m**2 - 33*m - 65. What is the remainder when g(20) is divided by 0 - -24 - (-3 - -8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32188*b**3*c + 9*b**2 + 403*c wrt b.\nAnswer: -193128*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -4 - (-2 + -8). Suppose 3*k + b = k. Let u(m) = 2*m + 7. Give u(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253283 divided by -99?\nAnswer: -253283\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -12*k**3 - 40*k**2 - 12*k = 0.\nAnswer: -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/9 + 29216*i**4\/9 + 58418*i**3\/9 - 87644*i**2\/9 - 116840*i\/9 + 116848\/9 = 0 for i.\nAnswer: -14606, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 24*a - 430. Let h be k(-36). Solve 0 = -5*p - h*y + 5, -8 - 8 = p - 3*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-24))\/(-30*(-10)\/(-280)*(-7)\/2)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 17, 4\/5, 1\/4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 84317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2018 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**5\/20 - g**4\/12 + g**2 + 15*g. Let k be l(2). Let r(c) be the first derivative of -c**2\/2 + 3*c - 1. Calculate r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 155. Suppose f*n = 11*n - 3324. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4) - (-2)\/4. Suppose 0 = 2*f + 6, -w*v = -5*f + 86 - 281. Let r be ((-27)\/6)\/((-2)\/16). What is the highest common factor of r and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*y - 48. Let h = 10621 - 10606. Calculate the lowest common multiple of h and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12165271?\nAnswer: 397, 30643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15*i**2 + 10*i + 1. Let q(o) = 21*o. What is w(q(v))?\nAnswer: 6615*v**2 + 210*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 45?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 152, 156, 160?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37039.70069 - -37039. Let o = 1 + -0.3. Let n = o + j. Round n to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 2. Let c(z) = 8*z - 186. Let r(g) = c(g) - 4*y(g). What is the first derivative of r(m) wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13109889997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -545.548 - -545. Round f to 2 decimal places.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -266 * -0.1.\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 + 13. Let g = 125 + b. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5555263 divided by 5?\nAnswer: 5555263\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3337 = g, -36*g + 38*g + t - 6659 = 0. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85)*1)\/(sqrt(5) + sqrt(45)\/sqrt(144)).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 486\/(-36)*-1*10*((-76)\/285)\/2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30412*d**2 + 4 - 4 + 19211*d**2)*(0 + 4 - 6) as h + v*d**2 + r*d and give v.\nAnswer: 22402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 7 - 0) + (12 + -43 - (19 - 7))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 517, 342, -155, -1136, -2763?\n\"Answer: -27*y**3 + y**2 + 11*y + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) -15 (c) -2\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 421 = 465. Solve a = -2*x + 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/28196 + -967571\/28196. Which is bigger: -35 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -715.9129 rounded to one decimal place?\nAnswer: -715.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 533 + -346. Suppose -d + w + 0 + 17 = 0, d - 17 = -2*w. What is the highest common divisor of b and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(6\/13)\/((x*x**2*x)\/x)**24)\/(x**(3\/7)*x*x**(-3)*(x**2*x)**(1\/12)) assuming x is positive.\nAnswer: x**(-1979\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from zmvvzmmzuvyuuvumzmmu?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 6*j. Let b = 9 + -3. Let r be b\/((-2)\/4*2). Let x be c(r). Solve v + 2 = x, -5*p - v - 6 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1 + (-1 + 0 + 3)*(0 - 3 + 2))*(3 - 3 + 4*f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, 4, 534 in descending order.\nAnswer: 534, 4, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 q when three letters picked without replacement from nlnqqry.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 413629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -864, 93 in descending order.\nAnswer: 93, -0.04, -864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*x = -313, -3*u + 5*x = -2*u - 79. Sort -2, 4, u.\nAnswer: -2, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/33*(12\/7)\/(-4).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -3*t**4\/8 + 5*t**3\/4 - 3*t**2\/2 + 8*t. Factor n(c).\nAnswer: -3*(c - 1)*(3*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idd when three letters picked without replacement from {t: 12, d: 5, i: 1}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*z - 10 = 12, -c + 5 = -z. Suppose -2*g = -c*g + 20. What is the second derivative of i**5 + i + i**g + i wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1022334311?\nAnswer: -1022334312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7121, 7114, 7103, 7088, 7069?\nAnswer: 7046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 822026.4 micrometers in meters?\nAnswer: 0.8220264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 1. Let t(z) = 21*z - 9. Let x(h) = -7*h + 3. Let r(j) = -3*t(j) - 8*x(j). What is -6*g(m) + r(m)?\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {j: 12, h: 4, i: 3, g: 1}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62493*t**4 - 9020*t**2 - 15*t wrt t.\nAnswer: 1499832*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188813 divided by -2.\nAnswer: -188813\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x + 24. Let d be j(0). Let b be (-12)\/10*(-80)\/d. Suppose 0 = -b*r - 109 + 681. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 0*k - 4 + 0*k + k**2 + 3*k. Let m be v(3). Solve 2*q - 4 = y, y - q = -1 - m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 456\/913409 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2071045, -4141626, -6212205, -8282782, -10353357?\nAnswer: -12423930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2569)\/1101)\/(2*(-4)\/(-12)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/3*(-4705)\/44. Let f = 637 - m. Calculate the common denominator of 91\/54 and f.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Let j(u) = u + 14. Let m be j(-9). Suppose 0 = 3*p - 2*k - 22, -34*k + 10 = -36*k. Solve p*g + m = a*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.7 + -7. Suppose -4*x - 320 = 168. Let k = -613\/5 - x. Put s, k, -2\/7 in descending order.\nAnswer: -2\/7, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.6 + -1. Sort m, 8, -4 in decreasing order.\nAnswer: 8, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(540))\/(sqrt(36)\/sqrt(75)).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7 - 3 + 0*c**2 + c**3 + c**2 - c. Let b = -1 - -3. Suppose -3*y - 6 - 6 = 4*l, 5*l - b*y - 8 = 0. Calculate m(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001146 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 5*s**9\/756 + s**5\/15 - 7*s**3 + 4. Let z(x) be the third derivative of l(x). Find the second derivative of z(p) wrt p.\nAnswer: 400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221 - 222. Is l less than -2\/511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1015 - -234523?\nAnswer: 235542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*r**2 - 24*r - 47*r**2 - 130 - 41 + 26*r.\nAnswer: -448*r**2 + 2*r - 171","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.827 and 0.3?\nAnswer: 1.1481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o - 35*o + 4 = 0. Let f be (-6)\/o + (-264)\/(-99). Which is the third biggest value? (a) 17 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-2)\/(-2 - 0). Let d(r) = -49*r**2 + 391*r + 13. Let b be d(8). What is the closest to 2\/5 in i, b, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*i + 16*i - 93*i + 15*i + 14*i + 12*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.570374 days in hours?\nAnswer: 133.688976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24173, -96685, -217537, -386729, -604261?\n\"Answer: -24170*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -66\/25415 and 81\/3128.\nAnswer: 203320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -3 + 37\/4*m + 3\/4*m**4 + 9\/4*m**2 - 37\/4*m**3 = 0.\nAnswer: -1, 1\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294001 to the power of 1\/2, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 168*x**2.\nAnswer: -2*x**2*(x + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16399886, -32799782, -49199678?\nAnswer: -65599574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004413 rounded to 5 dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 4:45 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 7*v**2 - v + 8. Let o be f(7). Suppose -o = 2*l - 9. Suppose n - l + 2 = -p, -3*n = 12. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 11:08 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q - 3*q**2 - 3*q + 5*q**3 + 4*q**2 + 2*q + 1 - 2*q**4 in the form l*q**3 + z*q + b*q**2 + v + c*q**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*g - 48 = -5*g. Calculate the common denominator of -7\/3 and (-3)\/(-30)*(-141)\/(6\/g).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 1)*(-4*o**4 + 5*o**4 - 3*o**4 + (-o + o - 4*o)*(2*o**3 - 3*o**3 + 3*o**3))*(-2*o + 31 - 31).\nAnswer: -20*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.16985 times 0.2?\nAnswer: 0.43397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, g: 11}. Give prob of sequence egee.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*c**4*s + 77*c**3*x + 2*c**2*s*x + c**2*x - c*x - 24*s*x wrt c.\nAnswer: -240*c*s + 462*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-48)*(-270)\/(-5) - 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202815 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -1\/2*w**3 + 0*w**2 + 0 + 1\/4*w**4 - 4*w. What is y(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/48 and -91\/1693260.\nAnswer: 6773040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 5*j + 16, -3*z + 4*j = -22. Let y be z + (6 - (0 + 3)). Suppose -5*i = -2*i + a - 362, 3*a + 580 = y*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**5 + 6*y**2 - 6*y**2 + (-14 + 25*y - 63*y + 16)*(0*y**4 - 4*y**4 - 13*y**4).\nAnswer: 650*y**5 - 34*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2667.49 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3*g + 3 = -0, -5*c = 4*g - 4. Suppose c = -3*r + 6*r. Is 2\/11 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2189025.\nAnswer: 3, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**4\/12 - i**3\/3 + 4*i**2. Let c(x) = 6*x - 1 + 2 - 6. Determine 4*c(l) - 11*n(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*o + 92 - 239 - 623. What is the remainder when 109 is divided by o?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42200202 to the nearest integer?\nAnswer: 6496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 415.9999794 - 416. What is g rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7724 + 9306. What is the third smallest value in l, 0.2, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 - l - 5. Let y(s) = 9*s**3 + 6*s**2 + 2*s + 42. Give 7*o(x) + y(x).\nAnswer: 2*x**3 - x**2 - 5*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 14*i + 4. Let q(z) = 3*z**2 - 28*z - 9. Let g(j) = 9*k(j) + 4*q(j). Is g(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(11) + -1 + 3 + 1*(sqrt(11) - sqrt(11)*-1) + (3*-2*sqrt(88))\/sqrt(8) + 2.\nAnswer: -3*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*v - 3260 = 0, -4*v = 5*q + 1708 + 1587. Is (-1 + q\/35)*-7 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 5*a + 7. Let m be (-10)\/(-1) + -4 + 1. Let r(g) = -5*g**2 - 11*g + 13. Let u(l) = m*k(l) - 3*r(l). Is u(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 12:04 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 68*u**2 + 431*u - 47. Determine o(61).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from {f: 4, p: 7, v: 2, i: 1, l: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + 5*w + 2. Let t be r(-3). Suppose 2*g = 10*g - t. Suppose 4*o - 5*o - g*j + 33 = 0, o + 3*j - 32 = 0. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -9*n**2\/2 + 11*n + 1. Let u(r) = -4*r + 5. Let a = 103 - 5. Let m = a - 95. Calculate m*j(x) - 7*u(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/7)*t**(4\/7)*t**(-13)\/(t*t\/t**(-5\/4)*t*t))**(2\/33) assuming t is positive.\nAnswer: t**(-73\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/42*784434\/(-76). Is r less than 1963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 7*r - 8*r - 5 + 3 + 0. Let d(k) = -k**2 + 7*k + 1. Let b(u) = 5*d(u) + 2*l(u). Let z(c) = -c**2 + 6*c + 1. Give -6*b(m) + 5*z(m).\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 301? (a) 0 (b) -358 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 362673?\nAnswer: 725346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 - -1201222?\nAnswer: 1210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2034 + 1010. Suppose 306 - 1445 = -3*m + 5*s, 2*m - r = 5*s. Suppose -2*h - 4*z - m = -7*h, 0 = -4*h - z + 315. Is h a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/6)\/(-6*(-7)\/(-238))*2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 10*c - 2*r - 25, -5*r = 2*c - 35. Solve -2*h - 4 = -2*f, c*h - 4 = -2*f - 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*y + 18*y**2 + 3\/4*y**3 - 7260 = 0. Calculate y.\nAnswer: -22, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-30))\/(1\/(-2))*0. Suppose y = 16*i - 4*i. Suppose i = -31*k + 30*k + 5. Solve k*p - 10 = 10*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -12 - (8 + 5)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 178889009.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + ((-539)\/33 - -6) - (-29)\/(-21).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2246, -4505, -6750, -8975, -11174, -13341, -15470, -17555?\nAnswer: -19590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llooooolxollllloloo. Give prob of sequence oolo.\nAnswer: 63\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**3 - 56*o**2 + o + 24. Suppose -z + 4*r = -4 + 32, 2*z - 4*r + 56 = 0. Let c be u(z). Let w(g) = -g - 1. Give w(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 142427*d*w**3 + 7*d*w + 2660340*w**3 wrt d.\nAnswer: 142427*w**3 + 7*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192) + 4 + 2)**2.\nAnswer: 80*sqrt(3) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 659876.3 days?\nAnswer: 15837031.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 58*t**3 + 2*t**2 - 46*t**3 + 203*t**3 + 5*t**3.\nAnswer: 104*t**3 + 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58.5 + 73. Let q = -18 + b. Round q to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j + 3587 - 519 = -36*j for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -357321739*v**3 + 500253*v**2 + 333502*v - 166751. Let d(k) = 12857*k**3 - 18*k**2 - 12*k + 6. Give 166751*d(b) + 6*u(b).\nAnswer: -12827*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.035+0.25\nAnswer: 0.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*u + 6 + 5 = 0, -5*u - 25 = -5*z. Suppose z*q = -14 - 2. Is 119 + -1 - 4\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 16*s**2 - 18*s + 8. Let i be x(17). Let n(k) = k**3 + 8*k**2 - 8*k + 12. Calculate n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202537548 by -6.\nAnswer: 33756258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 12 = 4*r. Let b(g) = -4*g + g + r*g - g. Let h(m) = 2*m**2. Give h(b(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-4) - (-6 + 3). Suppose 2*s - 13 + 9 = i. What is the first derivative of -10*k**2 - 3 - 11 - 17*k**2 + 2*k**s wrt k?\nAnswer: -50*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 13*u**4\/8 - u**3\/2 + 10*u**2. Does 25 divide k(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 1\/8, -4, 1\/6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4386, -4165, -3742, -3117, -2290, -1261?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. What is the third derivative of h - 1 + 2*a**6 - 2*a**2 + 0*a**2 wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + -3 - (-35 - -18) - -48?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 20*j - 8*j + 16*j.\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*o - 105 = -1662, -2*h + 2*o = -1038. What are the prime factors of h?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 637\/1851 or 0?\nAnswer: 637\/1851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -64297 at most -64297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 - t**2 + 2 - t + 2*t**2 + (4 + 0*t + 3*t - 4*t)*(0*t + 2*t + 0*t).\nAnswer: -3*t**2 + 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 62*l**2 - 48240*l + 3099. Give w(778).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*g + 963 = 117*g. Calculate the remainder when g is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 28 - 84 = 11*c, -3*r = -6*c - 87 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -2. What is the least common multiple of 1 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/10 - 3\/(-2). Let i = -3.843 - 0.157. Let s = -28 - -33. Put 0.3, f, i, s in ascending order.\nAnswer: i, f, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -12*l + 4. Suppose l*g = 3*g - 3. Calculate the lowest common multiple of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 6*w**2 + 8*w + 7. Give j(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 0.05 (c) 0.3 (d) 2.5 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2787685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 260466 divided by 424\nAnswer: 130233\/212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 85390.2 (b) -0.4 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79178092, 158356183, 237534274?\nAnswer: 316712365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 564 and 17436.\nAnswer: 819492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*t**2 - 136*b*t - 101439*t**2 + 123*t wrt t.\nAnswer: -4*b - 202878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4 - 14) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 2\/9, 0.16, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -27955?\nAnswer: -27957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v = -33504 + 31671 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 22*f + 4*f + 95 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41375770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*k + 19*k + 8. Suppose 5*b = -m + 58750, 4*m = 2*b - 28731 + 263753. Let p be (m + -5)\/(k\/320). What is p rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4917, -9794, -14681, -19578, -24485?\n\"Answer: -5*j**2 - 4862*j - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/226 and -87\/8.\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -s - 3*t, -2*t - 180 = 5*s - 3*t. Let m be 3\/7 - (-260)\/s. Let u(p) = -17*p - 28. Let l be u(m). Calculate the greatest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -3\/38 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p + 3*r + 31113 = 41*p, -p + 2*r + 31116 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 1 + 1)*(19*k - 2*k**3 - 20*k + 3 - 1).\nAnswer: -2*k**4 - k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -3499377?\nAnswer: 13997508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12425 - 2?\nAnswer: -12431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2715, -2749, -2783, -2817, -2851?\nAnswer: -2885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24801 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/117)\/(2\/(-5)*310\/(-186)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-96)\/(-1152) + 13\/(-12). Let x be (-9)\/(-12) - h*558\/24. Calculate the highest common factor of x and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 5*f + 5, -3*f + 10 + 13 = 4*j. Suppose -2*g + j*o = -5, 0 = -4*g + 6*o - 5*o + 55. Suppose -g = -3*m + 48. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 18*k - 2. Suppose -31 = -7*u + 3*u - 5*j, -23 = -2*u - j. Is 25 a factor of r(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-4\/9))\/f)\/f**16*(f*f\/(f\/(f**6\/f))*f)**(-36\/11))**10 assuming f is positive.\nAnswer: f**(-38080\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-225)\/(-6))\/3*18\/(-15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j**2 + 2*j + 1. Let s be b(-1). Let n be 4*1*((-15)\/(-10) - 1). Let y be (-1 + n)*(-1 + 0). Sort y, -5, s in descending order.\nAnswer: s, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 9:55 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 - 2*k**4 + 3*k**4)*(-4 + 4 + 1)*(-4 + 0 + 0)*(-3 + 3 - 2*k).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/7 + 594345*t\/7 + 594344\/7 = 0.\nAnswer: -594344, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 28953?\nAnswer: 28953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19647 + -19647. Solve 0*g + 12\/5*g**3 - 3\/5*g**2 + v - 9\/5*g**4 = 0 for g.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1371*n**4*s**2 - 8189*s**2 wrt n?\nAnswer: -5484*n**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 11*y**4\/6 - 5*y**2\/2 + 36*y + 23. Let r(i) be the first derivative of j(i). What is the first derivative of r(s) wrt s?\nAnswer: 44*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 3*u**2 - 2*u + 4. Suppose -79*t + 81*t + 3 = i, t + 9 = -i. What is b(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = -5*h + 8*h. Does 29 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 + 143 + (2 + -5 - 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 552071 to the power of 1\/2, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1785 + -1055. Calculate the highest common divisor of 150 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*c**4 + 1857*c**3 + 54447*c**2 - 336288*c + 80640 = 0. Calculate c.\nAnswer: -112, -48, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 9. Determine t(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -621\/83 at least as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 25*v - 4320. Let a = v - 25063\/29. Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9019 divided by -9019\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -58*l - 6644. Determine g(-116).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32826 is divided by 3646?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/3, 3\/8, 0.4, 200, -5\/4, 0.3 in descending order.\nAnswer: 200, 8\/3, 0.4, 3\/8, 0.3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -j, -5*j + 2*m = -0*m. Suppose -5*f + 0*f + 40 = j. What is the smallest common multiple of f and 6 - (-2 + 0 + 1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004635 to 4 dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -609245 divided by 1339\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6996071 is divided by 999400?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(125))**2 + 5 - (2 + sqrt(125))*-5.\nAnswer: 25*sqrt(5) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -36*d. Let n(t) be the third derivative of -t**4\/12 + 154*t**2. Determine n(z(q)).\nAnswer: 72*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 3)*(-68*q + 68*q - 3*q**2) in the form v*q + a + c*q**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from {z: 1, o: 4, j: 2, n: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from wooaeeieeoeeo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 298 - 297.1. Is 1\/2 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/27*0)\/(-1*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -3*o - 1, 7*o + 10 = 9*o + 4*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1327*p**2*s**2 + 156*s**2 - s wrt p?\nAnswer: -2654*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10113040 (base 6) to base 11\nAnswer: 188706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 18519*u + 699390.\nAnswer: 3*(u - 6135)*(u - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w**2 + w)*(2*w**2 + 2*w**2 - 3*w**2) + 6*w**4 - 4*w**4 - 5 + 4.\nAnswer: 4*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 14*y**2 - 16*y**2 + 4*y**2. Let c(g) = -4*g. Determine t(c(r)).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t**3 + 17*t**2 + 15*t + 22. Let d be b(9). Is (d\/(-2))\/(270\/20 - 13) 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 1252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2 - 2 - 2*d + 3*d - 3*d + (d + 0*d + d)*(1 - 1 + 2))*(-3 + 2 + 2).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of (-93)\/(-3) + 0 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (13 - -1) - (-2744 - -2748).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 4*v + 5 - 7 - 4*v. List the prime factors of p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*y - 26*y - 358*y - 312*y - 40*y.\nAnswer: -796*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/188911489 and 40\/698027?\nAnswer: 2078026379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4726012 - 39?\nAnswer: -39.4726012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-40)*(u**38\/u)\/u*u)\/(u**(-35)\/(u\/u**(-25))))**(-3\/5) assuming u is positive.\nAnswer: u**(-174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6054486*d**3*x**2 + 6*d**3*x - 3*d**3 + 2*d**2*x + 12*d*x + 67*x wrt x.\nAnswer: 12108972*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 24*d**3 + 10. Let o(q) = 5*q**3 + 2. Suppose 4*f - 20 + 12 = 0. Let i = 5 - f. Calculate i*y(w) - 14*o(w).\nAnswer: 2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 21 - 17) + 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2910151*o**2 - 18133128?\nAnswer: 5820302*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103520 rounded to the nearest one thousand?\nAnswer: 104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -960*i - 1473 = -30273 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13187 (base 9) in base 3?\nAnswer: -110012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1113569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411425 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 5*f**2 - 5*f + 8. Let s = -8 - -8. Let l(g) = g + 4. Let u be l(s). Suppose 0 = -u*m - 11 - 13. Determine o(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4410 - -4469. Let f = -12645.57 + 12704. Let t = p - f. Which is greater: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-99) + (-136)\/(-9). Let s = u + -1. What is the least common multiple of 6 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/5, 0, -6, 30 in descending order.\nAnswer: 30, 3, 2\/5, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -433654 (base 7) to base 5\nAnswer: -4411133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12241883\/2175405 - 2\/42655. Let v = m - -921\/68. Let x = -6\/7939 + 1008325\/95268. Find the common denominator of v and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 <= -16\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + 29. What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*o**2 + 6*a**3*o + 3*a**3*p**5 + 2*a**2*o*p - 3*a**2 + 978*o**3*p**3 - 4*o**3*p wrt p?\nAnswer: 60*a**3*p**3 + 5868*o**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*c - 67. Suppose 4*l - c = 0, 4*u + 0*l = -4*l + 20. Suppose 6*y + 5 + 397 = u. Which is smaller: -68 or y?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-25)\/(-15))\/5)\/((-8)\/(-53808)). Suppose -3*m + 5*p + v = 0, 5*m - 5380 = 2*p - 1656. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 5210508?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 greater than or equal to 1502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*1\/(-5)*(1116\/24)\/31.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53482*b**4 + 55603*b**2?\nAnswer: -1283568*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 3:49 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -48. What is the hundreds digit of (804\/20)\/(p\/25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 + 75 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -35. Let x be -6*(-4)\/b*(-3)\/4. Suppose t - t + x*t = 0. Solve t = -3*s - 0*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/3448 and -26\/39352455.\nAnswer: 314819640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12567 - 8508. Suppose k + 0*m = 5*m + 801, -5*k = 2*m - c. What is k rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 11110011100111011?\nAnswer: 11110011100111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*f - 97211 = 0, 127*q - 131*q + 3*f = -388855. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-72)\/(-6)))\/((-3)\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*k + 245, 511 = 5*k + j - 144. Suppose k = 3*u - 4*r, -3*u + 24 + 136 = 2*r. Calculate the least common multiple of 16 and u.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 708 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1616 + 534 + 539 + 3*z**2 + 543.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.44 - 0.06. Suppose -p - 4*p = -20. Suppose -z = -p*z + 4*k - 7, 5*z = -k + 19. Which is the nearest to 2? (a) z (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115081 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5\/(s*s**(-3\/2))*(s*s*s**(-6))\/s**3)**(1\/31))**(-13\/2) assuming s is positive.\nAnswer: s**(39\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8515142 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 greater than or equal to 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) + 1) - sqrt(275) - sqrt(275)) + -1 + 5)**2.\nAnswer: -60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107.8 - -111.8. Which is the nearest to -0.3? (a) -2\/5 (b) i (c) 4\/7 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((70\/(-5))\/7) - -19?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 162, 451, 860, 1377, 1990?\nAnswer: 2687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttox when four letters picked without replacement from {t: 2, x: 5, o: 2}.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16.457 and -0.2.\nAnswer: -16.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 383495969\/846 - 453305. Find the common denominator of a and 137\/18.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/21)\/(1\/(-7)). Let o be q\/(-3)*(-6)\/114. Let d = -25\/57 + o. Is d smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d2e1 (base 15) in base 3?\nAnswer: 202021012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 206 - 353.7. Let s = -0.5183 + 148.5183. Let y = s + h. What is the third smallest value in y, 0.2, -12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37.13 and 17.4?\nAnswer: 19.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4 = -2*h, h - 1 = -2*i - 3. Suppose 5*y + 4*j = -41 - 29, 4*y + 3*j + 55 = i. Let c be (-28 + -2)\/(-1*(-15)\/y). Solve -c = -v - 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15557 + 14?\nAnswer: 15572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**4\/7 + 80*w**3 - 5836*w**2\/7 + 2976*w - 24768\/7 = 0?\nAnswer: 3, 4, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*o - 231*o - 223*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 39?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211358, 845438, 1902246, 3381788, 5284070?\nAnswer: 7609098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 8, -5*z + 4*z + 2 = -2*j. Let a be (-52371)\/(-27) - j\/6. Suppose -a = l - 5*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25893 and 2738904.\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 13*b - 40. Let k be q(-23). Suppose 10 = -6*f + k. Let t = f - 26. Solve 2*l - h - 5 = 4*l, h + 5 = t*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-2)\/(-18) + (-40)\/15. Let y be (5*z\/(-45))\/((-2)\/6). Do 4\/17 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/13, 0.2, -2\/11, 0.3, 4, 5, 807731?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 2:20 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 3*v**2 + 5*v - 1. Let s be w(4). Let g be 35\/(-42)*(-5 + 5 + -18). Suppose -g + 135 = b - s*u, -9 = 3*u. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -408, -412, -416, -420?\n\"Answer: -4*b - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b + 3a7?\nAnswer: 37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and (2891\/1 - -10) + 22\/2?\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -5. Let f = -0.015 + -0.04. Let h = f + -0.015. What is the second smallest value in h, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/20055 and 29\/3977766.\nAnswer: 139221810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7041635 and 290?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98415*l**4 + 37146195*l**3 + 16496460*l**2 + 2443280*l + 120640.\nAnswer: 5*(l + 377)*(27*l + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2015850?\nAnswer: 2, 3, 5, 89, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-92)\/(-22) - (-12)\/(-66). What is the second derivative of z + 17*p**4 - 2 - 2 - 15*p wrt p?\nAnswer: 204*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 7. Let n = 1 + -6. Let m = -1 + 2. Which is the closest to k? (a) n (b) m (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000329893 to 6 decimal places.\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2885442 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3 (c) -29 (d) 0.1 (e) 0.211 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -74 times -102.8\nAnswer: 7607.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -709, -689, -669, -649, -629?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 77*b = -30375. Calculate the highest common divisor of b and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 510 = -792. What is the smallest common multiple of 540 and f?\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*n**3 + 16*n**2 - 16*n**2 + 0*n**2 in the form b*n + i + a*n**3 + k*n**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9166599803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 240430001 - 2222?\nAnswer: 240422224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 2. Suppose 3*a - g = 2*m - 0, 0 = 2*a - 4*m. Suppose 4*t - 2 = 2*o, 0 = 3*o - 0*t - a*t - 17. Solve -3*v = 2*p + 22, -2*p - 1 = o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 4*b**2 + 4*b + 15. Let a be i(-3). Let q be -2 + (a\/16)\/(4\/64). Solve 10 + q = 5*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3203000 rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j - 15. Determine i(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9268 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19163 = 2*s - 2103. Let c be 2\/(-7) - (-7)\/(s\/42). Is -1 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.657645 - -0.6616. What is h rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = s - 54*w + 55*w, 0 = -5*s + 3*w + 44. What is the highest common divisor of s and 4910?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from {y: 3, p: 6, m: 1, x: 1, h: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 = -2*f. Let u be -2 + (-12)\/(-3) + 1. Put f, -1, u in decreasing order.\nAnswer: u, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 18 (b) -0.8 (c) -0.2 (d) -0.5 (e) -1\/3 (f) -2.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5421445354 - -2?\nAnswer: -5421445352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13588 + 13596. Suppose -g = -5*n + 109, n + 5*g - 3*g - 24 = 0. What is the least common multiple of p and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 7\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:19 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + sqrt(2057)*3 - (2*(1 + sqrt(2057)) - (((sqrt(2057) + 1)*-6)**2 - sqrt(2057))).\nAnswer: 792*sqrt(17) + 74096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 243378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336046 is divided by 128?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 100307, 200616, 300927, 401240, 501555?\n\"Answer: w**2 + 100306*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 587666507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Suppose a*k - 3 = k. Suppose k*x - 4*x = -3*z + 16, 4*z - x = 21. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1845 = -3*h + 5*k, 2*h - 4*k - 2492 = 6*h. Let c = h + 800. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61.34 - 294.84983008\nAnswer: -233.50983008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, 48, 114, 206, 324, 468?\n\"Answer: 13*c**2 + c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x = -2*u - 382 + 62, 4*x + 120 = -x - 0*u + 5*u for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5213 times -0.05\nAnswer: -260.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -17. Suppose -5*j = -x + 15, -5*j + 3*x - 7*x + 10 = 0. Let m = s + j. What is the greatest common factor of 19 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 1, t: 11, c: 6}. What is prob of picking 1 c, 1 t, and 1 g?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1245 divided by 5\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-1)\/(-3)) + -4 + 4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 9*k + 21. What is u(-16)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 12\/28789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -101\/26 (b) -1\/13 (c) -2\/11 (d) -2\/7 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 122222842 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12359071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + 29*c - 11. Suppose 27 - 119 = 4*g. What are the prime factors of z(g)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 24*k - 310. Determine u(16).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/33 and -68\/43395.\nAnswer: 43395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1100) + sqrt(1100) + -3 + -3)*6)*-5 + 5)**2.\nAnswer: -210000*sqrt(11) + 3990625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 85*p**2 - 4*p + 4. What is the tens digit of k(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4130*i**3 + 2047*i**3 + 2084*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) -0.09 (c) 53 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*g + 3*g + 27, g + 18 = 4*w. Solve -c = 3, w*c + 7 + 6 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**2\/2 - 3*h + 3. Let t be j(-4). Let c be (-1)\/(((-1)\/2)\/t). Does 0 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + 0. Suppose -5 = 4*o - 25. Suppose -2*x + 2*q = 0, 0*x = o*x + 5*q. What is the second smallest value in x, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 0 - l + 23 + 0*l. Is b(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1333*w + 2806*w - 318*w + 2296*w.\nAnswer: 6117*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10191 divided by 68\nAnswer: -10191\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.15565 - -1.15995. Let v = o + -0.0043. What is the nearest to -2\/7 in 9\/2, -0.1, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cttcctcctzcttddzctzh. Give prob of sequence zhz.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 3*l + 2*l - l - l + 3*l + (-3 + 2*l + 3)*(-3 - 2 + 3))*(91 + 4*l - 91)*(3*l + 168*l - 16*l) to the form c*l**3 + r + d*l**2 + m*l and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 4*d - 49. Let q(c) = -c**2 - 5*c + 49. Give 5*j(y) + 4*q(y).\nAnswer: y**2 - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-7))\/(t\/t**(2\/7)))\/(t**(-1\/2))**(-5\/11) assuming t is positive.\nAnswer: t**(1087\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*m - 2 + 15, 0 = m + s - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -157 and 404670 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18882 * -34576.\nAnswer: -652864032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from {u: 3, k: 1, f: 2, b: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 6\/6662317 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 76. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (863 - 379 - 186)*(2*r**3 - 2*r**5 + 0*r**5 + 0*r**3).\nAnswer: -596*r**5 + 596*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(1715) - 2*sqrt(1715)) + 1*sqrt(315) + sqrt(315))\/((sqrt(343) - (sqrt(343)*2 + sqrt(343)))*2))**2 + 5.\nAnswer: -sqrt(5)\/7 + 7061\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 26*o + 4365. Let j = -490 - o. Let i(y) = 2*y**2 + 8*y + 5. Calculate i(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + 27\/(-6) - 1. Which is smaller: 256 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-168)\/105*1\/(-8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3297404, -3297413, -3297422, -3297431?\n\"Answer: -9*q - 3297395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 2*q**4\/3 - 10*q. Let p(y) = -4*y**2 - 3*y**2 + 5*y**2. Calculate p(u(j)).\nAnswer: -128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a + 45*a**3 - 43*a**3 - 499*a**2 - 205*a**2 - 210*a**2 + 2 as p*a**3 + r*a + t + q*a**2 and give q.\nAnswer: -914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3*l + 58 = 50, 0 = 4*n + 4*l + 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 2:24 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 353087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 1 - (-100 + 166) - -16?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.427 - 28.573. Let j = -9 - -8.6. Which is the second biggest value? (a) -4 (b) -3 (c) j (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36 + -22 - 6) + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 17*a**2 - 3*a + 214. Give q(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m - 5. Let w(a) = 24*a - 16. Let t(n) = -10*n - 109. Let r be t(-11). Suppose -r = -x, 84*v - 79*v - 4*x - 21 = 0. Calculate v*w(d) - 16*k(d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -16 (c) 7784\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/331 in 0.15, -1, -4, 3, 4\/13?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 73*c - 521. Give g(13).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13b (base 14) in base 9?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*p + 353 = 0, 6*h - 8*h + 2*p + 676 = 0. List the prime factors of h.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 7*o - 6. Let v be h(8). Suppose 0*f - v*f - 6 = 0, 5*f + 35 = 4*b. Suppose b*x - 393 = 72. What are the prime factors of x?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3414.122 minus 134.2?\nAnswer: 3279.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -12*6\/8*-3 and 4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 18*s**2 + 46*s. Let d(h) = 8860*h + 8857*h - 26580*h + 8861*h. Calculate d(l(q)).\nAnswer: -36*q**2 - 92*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 9 = 2*x, -5*x = 2*n + 8583 - 8574 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63900 and 1125?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*r = 56*r + 10. Let s(w) = -2*w + 4. Let o(h) = -1. Give r*s(c) - 3*o(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 18181*l + 7 - 119133*l.\nAnswer: -100952*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 75. Suppose 0 = 4*i - t - 21. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192953 (base 14) to base 3.\nAnswer: 1200021002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 f when three letters picked without replacement from {f: 2, o: 1, r: 1, a: 3, l: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 7*f**2 - 5*f + 10. Let z be v(6). Let l be (-126)\/z + 2\/(-8). Put l, -2, 4 in ascending order.\nAnswer: -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - ((4 - 56) + 22) - -24.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 + 1. Calculate h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/90*(-4)\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6273 at least as big as 232126\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/9, -1, 8?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/21 and 61\/364959.\nAnswer: 364959","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 5*k**2 + 8*k - 11. Suppose 6*h - 3*s - 12 = 3*h, 0 = h - 5*s. What is the units digit of g(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 616\/110)\/(((-108)\/(-48))\/(6\/(-4))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0513357 * -1.895\nAnswer: -0.0972811515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 288349367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5975\/38028 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 11) to base 3\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6760 + -6738. Solve 3*q - 31 = -w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogy when three letters picked without replacement from {g: 3, o: 1, u: 2, y: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3362597, 6725110, 10087623, 13450136, 16812649?\nAnswer: 20175162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/13 + 350302*h\/13 + 3503220\/13.\nAnswer: -2*(h - 175161)*(h + 10)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f = 0. Suppose f = 8*g - 4*g - 160. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + sqrt(567)*-2 + sqrt(168)\/sqrt(6) - ((sqrt(112))**2*2 - sqrt(7) - (sqrt(63) + -4)**2))*6 + -1 + 2.\nAnswer: -869 - 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95649626?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*w + 37354 + 14268 = -1069*w for w.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50521 - -50532. Calculate the remainder when z is divided by 140\/21 + (-2)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24633920891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*g + 4*t, 3*t - 29 = 5*g - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**3)**(9\/2))**(6\/11) assuming j is positive.\nAnswer: j**(-54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = 5*p + 2, 0 = -2*f + 5*p + 13. Let d be -1*(-4 + 2 - -3). Let s be d + 5 + (2 - 6). Solve s*b + f = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63540645?\nAnswer: 3, 5, 7, 17, 35597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -111*z - 285*z + 113*z - 26 wrt z.\nAnswer: -283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9039778 bigger than 9039774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s = 5*d, s = -3*d. Let y(w) = -33*w**2 - 10*w - 240. Let p(b) = 4*b**2 + b + 2. Let u(o) = -8*p(o) - y(o). Does 28 divide u(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.9 and 74998526490.\nAnswer: 74998526489.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*j + 0*j + 10*j.\nAnswer: 232*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzzztwwwztzmzwtwttz. Give prob of picking 2 w.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**2 - 14 + 305 - 38*w + 203 + 6*w**2 with respect to w.\nAnswer: 8*w - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/23672 at most -1.94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1 + -18 + (-143)\/(-11) + 637\/52?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -126a3 + 4?\nAnswer: -1269a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628666621 is divided by 461?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 351137 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/3 - 26*j**3\/3.\nAnswer: 2*j**3*(j - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1101*c + 3780. What is i(-5)?\nAnswer: -1725","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 + -48)) + 13271 + -13272.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 4*b - 15, -3107*y + 35 = -3105*y + 5*b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bd30b (base 14) in base 10?\nAnswer: -1534495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 1. Let n(z) = 7*z. Let a(l) = -3*k(l) + n(l). Let t be a(2). Suppose 0 = -3*w - 3*m - 6, 0*w + 4*w = -t*m - 13. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 12*l + 3. Calculate r(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176046 divided by -6?\nAnswer: -29341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 17 = -3*i, 5*d = -2301*i + 2290*i + 39 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28203*v**3 - 42556*v.\nAnswer: 169218*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18832201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.819 rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44 in -2, -3\/2, -191, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23246.\nAnswer: 2, 59, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 11*q - 9. Let m be f(12). Suppose -s = -5*y + 13, -2*y - m*y + 4*s = -7. What is the closest to 0 in 3\/8, y, -7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11770 and 10700?\nAnswer: 117700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 + 77. Let a(v) be the first derivative of 0*v - 1 - 2\/3*v**3 + 0*v**y. Let p(t) = -3*t. Calculate a(p(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16971 + -16534. Solve 0 = p*y - 447*y + 70 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l + 3*l. Let f(c) = -4*c**3 - l - 6*c + 5*c**3 + 0 + 3*c**2. What is the units digit of f(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23931 at most as big as 23931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 78, 86, 110, 162, 254?\n\"Answer: 2*f**3 - 4*f**2 + 6*f + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80.47 + -1.47. Let g = 7.4 - -60.6. Let w = g - o. What is the closest to w in 2, 2\/13, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 95, 145, 195?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 14. Let c be b(6). Suppose c*q - 15 = 5*q. Suppose -q + 25 = 4*i. Solve -2*t + 3*t + i = -3*n, -5*n + 20 = -4*t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**10)**(2\/57)*(p*p**5*p)\/((p\/(p*p*(p*p**(2\/5)\/p)\/p)*p)\/p)*p*p**1*p*(p**7\/p)\/p assuming p is positive.\nAnswer: p**(4189\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - c**2 + 3*c + 5*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-67 - (-3 - (13 - (-9 + 13 - 0))))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.4 - 1?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otzttototzztzoozotot. What is prob of sequence ztzt?\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6525 and 3819735?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000896 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 171 = z. Calculate the remainder when z is divided by ((-5)\/(-4))\/(4\/48).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1433 is divided by 176?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 + 3*y + 15. What is i(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 4*q + 5. Suppose 2869 = 25*t + 11794. Let c = 350 + t. Calculate z(c).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c*l**2*z - c*l**2 + 2*c*l*z + 23*l*z + 57*l + 17 wrt z.\nAnswer: -c*l**2 + 2*c*l + 23*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r - 1. Let m = 24 + -10. Calculate the lowest common multiple of u(-1) and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 77*t**2 + 657*t - 15. Give i(-67).\nAnswer: 856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 704, 11, -2, 5, 268 in increasing order.\nAnswer: -2, 5, 11, 268, 704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 596650945?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 700.497559 + -700.5. Round n to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418 and 992598.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*h, 2*v + 14*h - 9*h - 23 = 0. Solve -8*b + 3 - v = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45601296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44440 and 17776?\nAnswer: 88880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-12) - (90\/(-1876))\/((-366)\/2135)\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29040 + 29040. Let q(z) be the third derivative of -14*z**2 + w*z**4 + 0 + 17\/30*z**5 + 0*z - 3*z**3. Find the first derivative of q(c) wrt c.\nAnswer: 68*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2 + 1275*q + 2538.\nAnswer: 3*(q + 2)*(q + 423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1758, 1609, 1466, 1329, 1198, 1073, 954?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.9 + -4.900042. Round o to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t. Let p(q) = -28*q - 1. Determine p(c(i)).\nAnswer: -168*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 0*p + 4*p**2 + 4 + p - 7*p - 3*p**2. Let f be m(3). Let u(r) = r. Give u(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6190 + 6189.971. Let n = 5.4 - 5.371. Let g = n + q. Put -3\/7, g, -3 in decreasing order.\nAnswer: g, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 16 - 16 - k**2. Let c(t) be the first derivative of 5*t**4\/2 + 19*t - 30. Let s(w) be the first derivative of c(w). What is s(m(u))?\nAnswer: 30*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7710066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7 + 1621*c - 3 - 1 - 8 - 1650*c. Calculate g(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(68)*-1 + (-5 + sqrt(425) + -1 - sqrt(425)).\nAnswer: -6 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.52 - -3.52. Sort 125, 0.4, i.\nAnswer: i, 0.4, 125","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = 45. Let r = 3 + f. Let c = r + 2. Put 1, c, 0 in descending order.\nAnswer: 1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = 3*r, -4*r + r = p + 3. Suppose 11*s - 355 - 1460 = p. List the prime factors of s.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53254781 to the nearest integer?\nAnswer: 7298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 620673 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174186 is divided by 9065.\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 3 + 3 + 3 - 3 - a + (2 + 2 - 2)*(-3 + 2*a + 3) + a - 4*a + 4*a + 2 - 2 + 10*a to the form u*a + l and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12232112 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, a: 5, j: 3, k: 2}. Give prob of picking 2 s and 1 j.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Let d = j - -1. Let l = -2 + d. Do l and 2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39050 - 39049.9999871192. What is x rounded to 7 decimal places?\nAnswer: 0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 4*a**3 + 2*a**3)*(-2*a**2 + 5*a**2 - 6*a**2)*(6 - 2 - 7) + a**3 - a**3 - 6*a**5.\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000360932 to 7 decimal places.\nAnswer: -0.0000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 5*u - 19 + 6, 0 = w - 3*u + 12. What is the fifth biggest value in -19, w, 4, 1\/2, -2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 64392 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37 + 30*n**4 - 28 - 39 with respect to n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -8 - (14 - (26 + -12)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + k)*(-4*k + 7*k + 5*k + (-1 + 4 + 0)*(0 + 0 + 2*k)).\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:14 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.18 + -6.18. Let t = w + 6. What is the closest to t in 0.2, -1, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*t**2*v**2 + 763*t**2 - 259*t*v**2 - t*v + 2*t - 5*v**2 wrt t?\nAnswer: -36*v**2 + 1526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -0.02506\nAnswer: 0.010024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 21\/43 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3308 is divided by 2929.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a factor of 330311209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-18) - 1\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/23 (b) -1\/2 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 44*q - 37*q. Let f = -17 + 89. What is the remainder when f is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {k: 1, y: 1, j: 2, x: 1, h: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 290 (b) 290\/81 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -238, -1.4, 0.1?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + 70. Suppose 2*s - 2328 = -4*z, x*z - 10*s - 2897 = -6*s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -25. What is the remainder when 11\/p*59*1 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -131?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l**0))**(2\/11)\/(l\/l**(1\/4)*l)**(-6\/7) assuming l is positive.\nAnswer: l**(37\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, -2, -270 in descending order.\nAnswer: 56, -2, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-21) + (-60)\/14. Let g = -14 - -18. Let v(q) = 2 - q**2 - g - 70*q + 63*q - 4. Calculate v(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112834, 451277, 1015334, 1805005, 2820290?\nAnswer: 4061189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 43\/((8\/2)\/8). Suppose 0 = -2*f + y + 104. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*-45 - 17\/((-85)\/(-90))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 6*n**2 + 77*n**4 - 3*n**2 - 72*n**4 in the form t*n**4 + f*n**3 + g*n**2 + p*n + v and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 5*z**3 - 2*z**3)*(-3 - 8*z**2 + 3).\nAnswer: -40*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 - 4*u**4 + u**4 + (0*u**4 - 2*u**4 + 8*u**4)*(-1 + 0 - 2) - u**4 - u**4 + u**4 to v + y*u**4 + c*u + b*u**2 + j*u**3 and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - (sqrt(504) - -4*sqrt(504))) + sqrt(224)\/sqrt(4))\/(3*sqrt(8)\/sqrt(4) - sqrt(2) - sqrt(2) - sqrt(10)\/(sqrt(5)*-2)).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 223391*i. Let b(u) = 5*u. Determine b(o(w)).\nAnswer: 1116955*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 12 = u + 2*u, 0 = k + 4*u - 23. Suppose -2*p + w = -323, k = -2*w - w. What is the remainder when p is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(2 - (-2 + 3)). Let b = t - -17. Calculate the greatest common divisor of 49 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-3)\/4*(3 + -7). Suppose -2127 = -r*t - 333. List the prime factors of t.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8*g**3 - 130*g**2 + 35*g - 45. Let f be u(16). Suppose 0*c + 3*o - 6 = -3*c, -5*o - 30 = -5*c. Solve f*r + 4 = -5, 0 = 4*q + c*r + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(45\/(-10))*(-9)\/(-12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 27 = -5*a, -28 = -4*t + 2*a. Sort -3, t, -5, 38 in decreasing order.\nAnswer: 38, t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 113 (c) 0.9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2 = 2*w - 5*i, -3*i = -4*w + 18. Let p(s) = s + 6. Let q be p(-6). Suppose -3*a - u - w*u = -82, q = -a - 5*u + 20. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1.2 (b) 0 (c) -0.4 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.952 + 1.852. What is the nearest to -0.1 in h, 5.2, -0.2, -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3278 - 1637 - 1641 + 31*j.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1697, 1698, 1699, 1700, 1701?\nAnswer: 1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.21 + 0.91. Let t = 3.3 + z. Let u be (27\/6)\/(6\/(-8)). Which is smaller: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**5 - 546718*r**4 - 37365031578*r**3 - 336248655002*r**2 - 523028436700*r + 896642670000 = 0.\nAnswer: -136675, -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 87, 422, 983, 1770?\n\"Answer: 113*x**2 - 4*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-172.8.\nAnswer: -172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 13*a**2 - 4*a + 5. Let c(x) = -88 - 3*x - 20 + 13*x**2 + 112. Calculate 4*c(v) - 3*h(v).\nAnswer: 13*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a kilometer?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 6039 and -2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.06633 and 39.\nAnswer: 38.93367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100184699.\nAnswer: 211, 474809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -252698 and 4.\nAnswer: -1010792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x - 4. Let n be y(0). Which is greater: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.22878s to hours.\nAnswer: 0.01006355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - -45. Let d = -700 + 702. Calculate the remainder when t is divided by (1\/2)\/(d\/92).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 1. Let z(s) = 1346*s**2 - s. What is z(u(b))?\nAnswer: 1346*b**2 - 2693*b + 1347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -3*u + 318. Let d = 414 + u. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -9 - 0 - (14 + -29 - -29) - -59?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = -0*g, -3 = -5*t - 4*g. Suppose 2*n - 20 = -t*n. Suppose 39 = -n*y - 3*u + 117, 3*y = -5*u + 64. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 23, 1, 2 in ascending order.\nAnswer: 1, 2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**8\/84 + 8*r**7\/105 + r**6\/10 - 22*r**5\/15 + 2*r**4\/3 + 16*r**3 - r**2 + 169. Suppose o(h) = 0. Calculate h.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = 3*o + 2*g, 2*o - 161*g - 161*g = -321*g - 137 for o.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 958 divided by -17684.\nAnswer: -479\/8842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.3 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**2 - 5*w. Let x(r) = -10*r**2 - 12*r. Suppose 4*u - 14 = 3*v, 2*v - 3*v - 5*u = -8. Let g = v + -3. What is g*x(s) + 12*j(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 1:05 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -74, -283, -632, -1121, -1750, -2519?\n\"Answer: -70*k**2 + k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*w + 4*u - 0*u, 0 = 4*u + 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 6 = 16*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*6*1\/4. Let t = 0.039 - 0.369. Let p = -0.23 - t. What is the third smallest value in p, b, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52735968 divided by 32796.\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 71*t + 36. What is w(-23)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**3\/3 - 43*d. Let r be p(2). Put -5, r, -4, 1 in ascending order.\nAnswer: -5, -4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106.727*-0.4\nAnswer: -42.6908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 108*k**4 + 1168*k**3 + 3638096.\nAnswer: 432*k**3 + 3504*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 13*t + 7*t)*(-5 + 5 + 1)*(-7 + 8 + 17)*(0 + 2 + 0).\nAnswer: 756*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1010000100110110110010?\nAnswer: -1010000100110110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345689, 345687, 345685, 345683?\nAnswer: 345681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2)*57\/(-171))\/(13\/(-416))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*(15\/(-9))\/((-4)\/(-12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/((-1)\/1))\/((-2)\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10000110111000 (base 2) to base 14\nAnswer: 3208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255435 is divided by 357?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54, 236, 538, 960, 1502, 2164, 2946?\n\"Answer: 60*q**2 + 2*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 3*a**2 - 2*a + 1. Let x be c(1). Suppose -3*j = -2*w - 4, w = -0*w + j - 1. Let l = x + w. Calculate the greatest common divisor of 16 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149\/3 - -49. Let g = 44 - 41. Which is the biggest value? (a) 1\/3 (b) g (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71766907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 4*q + 3, 369*p + 2*q = 736*p - 365*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2. Let a(x) = -x**2 + 3*x + 3. Let m be a(3). Let q(r) = -2*r**2. Calculate m*h(p) - 8*q(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -121\/29539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffofofooffffof. Give prob of picking 4 o.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a - a)*(-5 - 1 + 4)*(2 - 8 - 2).\nAnswer: 48*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 137 - 121. Suppose 0*l + 30 = l + 5*z, -5*z = 3*l - 40. Suppose 0 = -l*t + 2*d - 0*d + 143, d + 144 = 5*t. What is the remainder when t is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153*d**4 - 23024*d**3 + 11775163*d**2.\nAnswer: 3672*d - 138144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-3)\/2 - 2). Let k = -3 + -1. Put k, 1, d in increasing order.\nAnswer: k, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j + 11. Let a be z(0). Let w(y) = -a*y + 2 + 17*y + 0 - 1. Give w(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -9*h + 26 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 2*m**2 - 2*m**2 + m + 0*m**2 + 1. Let f be h(2). Solve -4*r - f = 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - n - 2. Suppose 0 = -t - 0*x + 3*x + 1, -2 = -2*x. What is the least common multiple of l(-3) and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -52, 5, 3 in increasing order.\nAnswer: -52, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6638 - 6637. Which is the second biggest value? (a) 3\/7 (b) n (c) 0.5 (d) -72 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/3, 91\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006729257848 to seven dps.\nAnswer: 0.0006729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305 - 308. Sort 2, n, -2, 5 in descending order.\nAnswer: 5, 2, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6197, 12367, 18537, 24707, 30877?\n\"Answer: 6170*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqyby. What is prob of picking 1 q and 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6076131 (base 8) to base 14.\nAnswer: -2dab33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 198 + 198. Suppose n = -10*x - 57 + 377. What is the remainder when x is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g - g)*(3*g - 2*g - 2*g) - 7*g**2 + g**2 + 4*g**2 + g**2 + 0*g**2 - 2*g**2 + (4*g + 0*g - 3*g)*(0*g + g - 3*g) + 1 - 1 - 2*g**2.\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**4\/9 - 366892*l**3\/3 + 1100672*l**2\/9 + 366892*l\/3 - 1100674\/9 = 0.\nAnswer: -1, 1, 550337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 277 - 309. Let p = d - -193. Calculate the greatest common divisor of 46 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 6*k - 3. Let b be x(9). Let a = -8 + b. Suppose 3*z - z = a. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -24*p**2 + 2*p + 1. Let c be w(-1). Let v be (-1 + 4)*c\/(-15). Suppose -4346 = v*o + 5454. What is o rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2272 is divided by 174.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*x - 4*u, 5*x + 2*u = 6 + 59. Let s be 130\/(-3)*30\/(-20). What is the remainder when -2 - (2 - s - -2) is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 439*c**2. Let l(m) = -53*m + 2. Let d(y) = 316*y - 12. Let v(b) = d(b) + 6*l(b). Determine v(p(i)).\nAnswer: -878*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, x: 4, b: 3}. What is prob of picking 3 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -396916 and 7.593.\nAnswer: -396908.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/(-2)*9\/27. Suppose 0*t + 3*i - 19 = -4*t, 0 = 3*t - 5*i - u. Solve -4*q - t*j = 0, q - j - 6 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99584407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 greater than or equal to 764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -3205961.\nAnswer: 1282384.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -137 take away -0.44?\nAnswer: -136.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1681*y - 4*b = 1679*y - 6, -2*y - 4*b + 10 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*h + 2\/7 - 1\/7*h**2.\nAnswer: -(h - 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 832 + -3?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -1\/3 (c) -0.8 (d) -30 (e) 115.97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -315*c**3*t**3 - 3*c**3*t + 8*c**2*t**3*y + 2*c**2*t**2 - 29*c**2*y + 2*c*y + 2 wrt t?\nAnswer: -1890*c**3 + 48*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/5 + 573978*r\/5 - 27454228707\/5 = 0 for r.\nAnswer: 95663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (4 - -6) + -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-10)\/175*(-5)\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10861211?\nAnswer: 10861211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63043183, -63043182, -63043181, -63043180, -63043179, -63043178?\n\"Answer: k - 63043184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 743*w**4 - w**2 - w - 3*w + 2*w**3 - 742*w**4 - w**2 + 5 - 2 to the form g + m*w**3 + z*w + h*w**2 + a*w**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 17*l**3\/6 + 7*l**2 + 10*l. Let v(y) = 84*y + 69. Let d(j) = 24*o(j) - 5*v(j). What is the derivative of d(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -u - 74, -4*u + 165 = 5*y - 142. Solve 105 = 46*g - y*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-11\/5)\/k)**(-22\/5)*(k**(-1\/5))**(7\/3))**(-3\/4) assuming k is positive.\nAnswer: k**(-1021\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 21 - 1 = 0. Let -19*r + 44*r**3 - 45*r - 52*r**2 + 68*r**4 - 26 + 20*r**5 + g = 0. What is r?\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -2\/7 (c) 3\/7 (d) 5\/96 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/373029?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-11)*2\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9986.\nAnswer: 2, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/sqrt(7))**2*-3.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/10 - (24 + 1). Let g be (2\/(-5))\/((-20)\/r). Let q = -3 + 3.4. Which is smaller: g or q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f + 2*f + 0*f + (3 - 3 + f)*(0 + 1 + 0) + 4*f - 2*f + 0*f)*(f - 4*f + 4*f) + 0 - 3*f**2 + 0 to l*f**2 + d + h*f and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 + 131. What is the second derivative of j*s**3 - 4*s**3 - s**4 + 353*s - 3 - 346*s wrt s?\nAnswer: -12*s**2 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -2.4 (c) 2 (d) -2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -8 (c) 0 (d) -9143\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 0. Let t be (-2)\/14 - (-24)\/21 - -4. Let k be (-190)\/200 - (-1)\/t. Which is the nearest to -1? (a) 0.5 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019079 to 6 decimal places.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b52779ba + -5?\nAnswer: b52779b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3174 and 276.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2943314 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 38 = -2*f. Let c be (-2 + -58 + 0)*1. Let k be (-144)\/c - f\/5. Solve 2*h + k + 4 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**9\/181440 + f**8\/12096 - f**7\/2520 - 37*f**5\/30 + 9*f**2 - 5*f. Let n(y) be the third derivative of j(y). Factor n(l).\nAnswer: l*(l - 1)*(l + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4 + 6*f - f - 2*f**2 + 3*f**2. Let w be z(-7). Suppose v - 2*u = -w, -v - 3*u = 2*v - 15. Solve v = -2*g + 9 - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by -297\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 903.33024 to the nearest ten.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 12*f - 18. Give q(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l\/(l\/(l*l*l\/l**2))))\/l)**(-16\/3))**(-25\/3) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**5\/30 + k**4\/3 - 4*k**3\/3 - 33*k**2. Let i be z(-5). Calculate the highest common factor of 16 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62600\/27 less than -2318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9809522, 9809613, 9809858, 9810335, 9811122, 9812297?\n\"Answer: 13*m**3 - m**2 + 3*m + 9809507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46, -149960, -2\/17?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*6*(-46)\/4. Let r = -127 - p. Is r*(-2)\/8*10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*y + 11. Suppose y = -5*c + 14. Suppose 5*s - 12 = -c. Solve a = -4*k - 20, 3*k + s*k - 5*a + 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.74 + -2.04. Which is the nearest to -0.1? (a) 12 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*(sqrt(288)*-1 - sqrt(288)))\/((sqrt(64)*-2)\/sqrt(8)))\/((-6*-1*sqrt(96) + sqrt(96))\/(sqrt(800)*2)))**2.\nAnswer: 1200\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - h - 1. Let s(m) = 3*m**2 - 36*m - 5. Let b = -47588 + 47593. Determine b*k(j) - s(j).\nAnswer: 2*j**2 + 31*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 - 7798*s**2 + 2960653*s - 14608190.\nAnswer: -(s - 358)*(s - 5)*(s + 8161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-11) - 15276\/33. Let k = 533 + a. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 37 and -63386539543?\nAnswer: 63386539580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 541838808 to the power of 1\/2, to the nearest integer?\nAnswer: 23277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (54 - 59 - ((-1 - -1) + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*m - 22479 = 7170, 0 = 4*x + 3*m - 39561. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 4*k + 11. Suppose -2*l - 4 = -w, 0*l + 3*w + 3 = l. Determine r(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 59*n**7\/42 + n**6\/30 - 49*n**3\/6 - n - 4. Find the second derivative of q(s) wrt s.\nAnswer: 1180*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 4*r - 60, -3*r = 1736*t - 1737*t - 25 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12561 - -4?\nAnswer: 12565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 2*a = -0*a - 14, -5*f - 5*a + 5 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**4 - n**3 + n**2. Let x(s) = 9*s**4 + 6*s**3 - 6*s**2 + 93. Let h(c) = -6*q(c) - x(c). Differentiate h(o) with respect to o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72\/53 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*s + 17 = -5*s, -s = 2*q - 1. Suppose -q*g = -358 + 16. Let c = g + -51. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*g - 22. Suppose 7*h - g*h + 5 = 0. Solve -h*y + 0*y + 15 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 0, -2, -14\/55?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21573 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0569 minus -108.53?\nAnswer: 108.4731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55.9 - -56. Let t(k) be the first derivative of k**4\/4 + 2*k**3 + k**2 - 9*k + 16. Let r be t(-5). Is r greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7499187.\nAnswer: 3, 41, 20323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 10 + 3 + 9 + (14 - 0)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 7382*m + 81. Let t(b) = -b. What is g(t(q))?\nAnswer: -2*q**2 + 7382*q + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - sqrt(153)*1 - sqrt(17) - sqrt(17)) + 5.\nAnswer: -2*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o*p**3*u - 2*o*p**3 - o*p**2*u + 115*p**3*u + 7*p**2 - u + 2 wrt p?\nAnswer: 6*o*u - 12*o + 690*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 - 90. Is 37 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*m, 4*r = -m + 5*m + 284. Suppose 0 = -a - 5, 2*a = 5*o - 164 - r. What is the smallest common multiple of 6 and o?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2326 + 0.5326. Let w be ((-2)\/(-15))\/((-4)\/(-6)). Let h be ((-1)\/1)\/(-6 - 1). Which is the fourth smallest value? (a) w (b) 5 (c) h (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l**3 - 7064435*l + 7*l**3 + 7064435*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2 + 14. Suppose -3*k = f - 18. Suppose -k*m + 9 = -z, -m - 1 = 4*z - 7. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 611 and 973793?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005244617445 to 5 decimal places.\nAnswer: -0.00524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6048 and 119056.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 - 93*b - 656. Calculate p(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 29260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n**(-4\/9)\/n*n)\/(n*(n\/(n*n**(-4)*n))\/n))**(-20))**(5\/3))**(3\/20) assuming n is positive.\nAnswer: n**(110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 1, d: 1, e: 2}. Give prob of sequence de.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in -9, -0.4, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 302 and 94682.\nAnswer: 14296982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + 5*j**2 - j - j**2 + (36*j - 3599 + 3599)*(2*j + 0 + 0) + (j - 4*j + 4*j)*(-7*j + 3*j + j) + (4 + j - 4)*(j - 1 + 1).\nAnswer: 71*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 9*y**2 + 3*y - 7. Let f be x(-6). Suppose -8*i - 27 = -f. Suppose i = 10*r - 13. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68120712 divided by -132.\nAnswer: 516066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*l - 6*l - 600. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(-166)\/(-498)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - p**2 - 3*p**2)*(4*p - 6 + 6)*((-4*p - p + 6*p)*(1 + 2 + 2) + 2*p + p - p - 3 + 3 - 24*p).\nAnswer: -68*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - 0. Let l(h) = -10*h**2 - 15*h + 71. Let y(f) = 2*f**2 + 3*f - 14. Let c(d) = 2*l(d) + 11*y(d). Let b be c(o). What is b rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -355141?\nAnswer: 355133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -67*b + 4. Let h(x) = -399*x + 397. Let q(c) = 598*c - 633. Let v(t) = 8*h(t) + 5*q(t). Give -11*u(z) + 4*v(z).\nAnswer: -71*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 37*w**5\/60 + w**4\/24 + w**3\/6 + 3*w**2. What is the tens digit of k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t - 16 = 21*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/10 + (-124)\/(-10). Let o = d - 7. Suppose 3*j = o*t - j - 80, 2*t - 5*j = 15. Solve -2*q = -6*q + t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1.3, -2\/9, -3\/5 in descending order.\nAnswer: 6, 1.3, -2\/9, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/522 and -41\/6.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -22. What is the closest to -2 in 2, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + 9 + (-12 - 13) + 7.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 47676863?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvllvvvlvlvvv. What is prob of picking 1 l and 1 v?\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40933 - -90872. What are the prime factors of w?\nAnswer: 49939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43227, -170535, -381925, -677397?\nAnswer: -1056951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z + 65 - 323 = 62 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.6, -0.1, 2\/5, -2\/7, 11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1740689 is divided by 148.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/11 (b) -2530 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -32. Let s = r + 20. What is the third derivative of -14*j**2 + s*j**4 - 2*j**4 + 3*j**2 + j**4 wrt j?\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78535 by 3.\nAnswer: -78535\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((5 - 2) + 3)\/2. Let b(h) = -h**3 + 3*h**2 + 2*h - 1. Let s be b(z). Is s > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.2 take away 721.5?\nAnswer: -742.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -7 + 9, 3*a = 3*m - 3. Suppose w - 331 - 147 = 4*r, -4*r + 1482 = m*w. Does 49 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4, 3*y = 3*b - 4*b + 73. Calculate the remainder when y is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 16*d**5 - 8*d**3 + 8*d + 7. Let r(a) = 47*a**5 - 25*a**3 + 25*a + 24. Let i(g) = 2*r(g) - 7*v(g). Find the second derivative of i(c) wrt c.\nAnswer: -360*c**3 + 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39981 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 + 296 = -3*v, w - 35*v = 141 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 4:47 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2052920 and 6279520?\nAnswer: 106751840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 = 36*m - m. What is the greatest common factor of m and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -13. Suppose -q*b + 0*b + 10 = 0. Suppose -b*r + 27 = 4*n - 57, -4*r = n - 32. Calculate 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 l(u) = -2*u**3 + 22*u**2 - 37*u - 218. What is l(5)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -226. Let s = i - -100.8. Which is the nearest to s? (a) -12 (b) -4\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161.44 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1887493*0.11\nAnswer: 207624.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2791 divided by 9?\nAnswer: -2791\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(((-9)\/6)\/(-1)). Suppose -4*p = 5*h - 20, -4*p = -i*h + 6*h - 20. Solve 2*d + p = u, -30 + 0 = 5*d + u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32960.5 rounded to the nearest 100?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 825, 774, 687, 546, 333, 30?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 16. Let z(i) = i**2 + 8*i + 2. Let m be z(-7). Let l = m - -22. Calculate the greatest common divisor of a and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 2. Suppose 0 = o - 2*o + 4*b - 22, 3*o - 5*b + 31 = 0. What is the lowest common multiple of p(o) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7534898.9 rounded to the nearest one hundred thousand?\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 0. Suppose -6*k = -a*k - 18. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2a53a (base 11) to base 15\nAnswer: cc2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.814647 and -5.\nAnswer: 19.073235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 1. Let b(y) = -2*y**2 - y. Let d(r) be the first derivative of 4*r**3\/3 + r**2 - r + 1. Let i(a) = 5*b(a) + 3*d(a). Determine -3*c(n) - i(n).\nAnswer: -2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from ooglrww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 483203 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6*v + 81376 = -173864. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 9, -5, -3, 5 in descending order.\nAnswer: 9, 5, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 428*a**3 + 45*a**2 - 5*a - 648. Let m(j) = 214*j**3 + 27*j**2 - 3*j - 324. Let q(k) = -5*m(k) + 3*u(k). Differentiate q(f) wrt f.\nAnswer: 642*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1565*a + 1548*a + 17. Sort -1, a, -6 in increasing order.\nAnswer: -6, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 = 5*a - 2*j, 5*a + 4*j + 5 = 0. Is a bigger than -1\/307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10642840 to the nearest 10000.\nAnswer: 10640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -3*o - 1128. Let g = o + -98. Let j(t) = t**2 + 4*t - 4. Calculate j(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*o + 453 + 1951, 3*o - 15 = 0. Let d = r + 7212. Round d to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - 4194714?\nAnswer: -4194729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 143616625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 3*z**4\/4 - 3*z**3 - z**2\/2 - 11*z + 6. Is n(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5*m - 11 - 4, -3 = x + 2*m. Let a = 29059 + -29066. Sort a, 2, 4, x in increasing order.\nAnswer: a, x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 7*g**2 - 9*g + 6. Suppose z = -z + 26. Let t = -21 + z. What is the units digit of i(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6738502*b**2 + 18004914*b wrt b.\nAnswer: 13477004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26 + 140)\/(4*-1)*-10. Calculate the greatest common factor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 1057?\nAnswer: 1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -3987451\nAnswer: -797490.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -46. What is the third smallest value in -4, -2\/9, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s + 3 - 136*s**2 + 38*s**2 + 91*s**2 + 2*s**4 to the form r*s**4 + l + d*s**3 + v*s**2 + o*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 165 (b) 38 (c) 1\/29 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 561 - 521. Solve -12 = 43*m - d*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 114665289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 0*c + 0*c)*(1 - 1 - 34*c) + (-2*c - 2*c**2 + 2*c)*(-1 + 2 + 0).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n + 38*n + 31 = 0. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -578*s**4 + 5*s**3 + 4*s**2 - 2345?\nAnswer: -13872*s + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 4*c + 4. Suppose -47 + 15 = -4*y. Let r be p(y). Let g be (-2)\/(-3 + r\/(-8)). What is the closest to 3 in -0.4, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 963593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k. Suppose -5 = -6*f + 5*f. Suppose -f*l + 40 = -k*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-174 - -9) - -84\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -120*c**2 + 4882*c + 431. Calculate p(41).\nAnswer: -1127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 7*v**2 - 2*v - 18. Let j(k) = -3*k**3 - 13*k**2 - 5*k - 37. Let q(b) = -2*j(b) + 5*l(b). Differentiate q(u) wrt u.\nAnswer: 3*u**2 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298.98 + -299. Let u be (-9)\/(-5) - (-5 - -6). Which is the closest to l? (a) -0.1 (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -81, -161, -241, -321, -401, -481?\n\"Answer: -80*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -4*s - a, -3*a + 7*a - 92 = -2*s. Calculate the remainder when 130 is divided by s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/1869 - 356\/(-210)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31646346, -31646331, -31646312, -31646289, -31646262, -31646231, -31646196?\n\"Answer: 2*k**2 + 9*k - 31646357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(11) + sqrt(132)\/sqrt(3) + sqrt(44) + sqrt(44) + (sqrt(44) - (sqrt(176) + sqrt(44)))**2)*-2 - (-1*(2 + sqrt(176) - sqrt(11)))**2*5))*5.\nAnswer: -4350 - 370*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3c0 (base 14) to base 12\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 minus 1?\nAnswer: -514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o = -42 + 171. Solve -8 = -g + o*f - 14, -2*f = 5*g - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(93\/(-6) + -3). Let c = -49 + i. Let h = 1 - c. Solve -4*w + z = 16, -2*z - 1 = -3*w - h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51698?\nAnswer: 2, 25849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = 3*u, 0*u + u - s = -2. Let f = -103\/30 + 18\/5. Let n = 67 - 67.3. What is the closest to -2\/17 in u, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b2 (base 12) in base 16?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5597321 is divided by 3127?\nAnswer: 3118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13916723*u**3 + 320703*u**2 + 3*u + 16 wrt u?\nAnswer: -83500338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 x when three letters picked without replacement from {z: 1, w: 3, y: 4, q: 2, x: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5 + 12*f**4 + 9*f**3.\nAnswer: 3*f**3*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.04 - 0.04. Suppose -21*l + 8*l - 105 = 8*l. Which is the third smallest value? (a) 3\/5 (b) -7 (c) k (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, 2871 in increasing order.\nAnswer: -18, 5, 2871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6, -24, -30, -18, 18, 84, 186?\n\"Answer: i**3 - 25*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 12*h - 9. Let m be 1 + (-5)\/(15\/42). Let u = m + 23. Calculate the least common multiple of u and p(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 5*c + 21, -5*c + 672 = q + 690 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -30*s**2 - 7*s - 9. Determine n(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3055 - 1029. What are the prime factors of k?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-5))\/(14\/(-70)). Let z = -3 + c. Let u(f) = -f**3 - 20*f**2 + 20*f + 12. Calculate the remainder when u(z) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 5*j - 0*j + 25, 3*j = 2*k - 1. Let n(y) = -3*y**2 - 4*y - 1. Let c(m) = 2*m**2 + 3*m + 1. Calculate k*n(h) + 6*c(h).\nAnswer: -3*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13077 - 1883 = -3*q - a, 4*q = -2*a + 19948. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-22) - 612\/(-220) and (-1)\/4 - 711\/(-60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 13 = -2*k - c, 34 = 4*k - 2*c. Let o = -24 - -26. Suppose 2*t - o = k. Solve -t = h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -549.6 or -3?\nAnswer: -549.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/17 in -5, 0, -0.06, 1, 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4126896 decades in centuries?\nAnswer: 0.04126896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1090348 - 1090348 + 49*i**2.\nAnswer: 49*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(5\/2)\/5. Let n(g) = 3*g. Let f be n(w). Let p = 4 + f. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*h + 8, 2*h = -3*x - h + 3. Solve -4*b = x*o + 30, 11*b + o + 30 = 6*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.5 + -2. Which is the second smallest value? (a) -0.6 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 2. Let v be p(-2). Suppose v = -u - 2*u + 156. Suppose 4 = a + 3*l - 2*l, -5*l - u = -3*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -149.8, 132, 0.7, 0.5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8175 divided by -109.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u**2 - 57. Let o(t) = 16*t**2. Give f(o(x)).\nAnswer: -2560*x**4 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*i**3*r**2 - 54120*i**3*r*v**2 + 64*i**2*r*v - 2*i**2*v**2 + 224*r**2 - 109*r*v**2 wrt i.\nAnswer: 216*r**2 - 324720*r*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1191022*g**2*m*x**2 + g**2*x**3 - g*m*x**3 - 115154*g*x**3 - m*x wrt g?\nAnswer: -2382044*m*x**2 + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: -18992697 divided by -3\nAnswer: 6330899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n + 29. Calculate the remainder when 47 is divided by w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o - 77*o = 3584 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n + 8. Let k(u) = 5*u + 26. Let y be -4 + 5 + (-70)\/7. Let h be k(y). What is the tens digit of c(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (2 - -1) - -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 267501 - -1?\nAnswer: 267502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23659, 47441, 71221, 94999, 118775, 142549, 166321?\n\"Answer: -d**2 + 23785*d - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17715, -17684, -17663, -17652, -17651, -17660?\nAnswer: -17679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -425 + -4?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -965 (c) 2 (d) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10712477 is divided by 554.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -536\/45?\nAnswer: -536\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*h = 235*h - 82*h + 18007 + 3115 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 19232 = 4*x, 8*q - 20*q - x + 57619 = 0. Calculate the remainder when q is divided by 1198.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7206919226*j**2 - 133192*j + 8\/13.\nAnswer: 2*(216437*j - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*r + 2*b, b - 3 = -r - 0*b. Let j = -1 + r. Suppose -8 = -j*z + z. Solve -z*s + 14 = -2*h, -22 = 2*h - 0*h - 4*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*c = -193*c - 12, 0 = -3*m + 2*c - 108 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2184, 25068, 87182, 208140, 407556?\n\"Answer: 3269*f**3 + f**2 - 2*f - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 1*12\/16*4. Is 3\/28 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427807753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**4 - m**2 - 2*m + 2. Let j(u) = -4*u**4 - 3*u + 3. Let x = -16 - -14. Let b(s) = x*j(s) + 3*d(s). What is the third derivative of b(z) wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**3\/3 + 3*i**2\/2 + 191*i. Let w(h) = 2*h + 3. What is -3*w(m) + 2*x(m)?\nAnswer: -2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2961 divided by 987.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -60. Is 7 a factor of ((-4)\/(-4))\/(r\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15790 or 15786?\nAnswer: 15786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q. Let p(l) = -4*l - 20. Let j(y) = -6*y - 35. Let n be j(-7). Let d(i) = -i - 7. Let w(o) = n*d(o) - 2*p(o). Calculate u(w(r)).\nAnswer: -3*r + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**3 + 8*l**2 - 6*l - 3. Let i(a) be the third derivative of -a**6\/30 - 7*a**5\/60 + 5*a**4\/24 + a**3\/2 - 48*a**2. What is -6*i(b) - 5*x(b)?\nAnswer: -b**3 + 2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6 + 1)*-36. Let n = i + 40. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -215 + 403. Suppose o = m + 80. Suppose 19 = -n - 5*l + 168, o = 2*n - 5*l. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 5*s**3\/3 - 146. Let v(z) = 11*z**2 - 9*z + 9. Let h(r) = 5*r**2 - 4*r + 4. Let i(b) = 9*h(b) - 4*v(b). Calculate i(u(l)).\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 14) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/25, -0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.14 - -0.114. Let f = 4890.997 + -4891. Let r = f - j. What is r rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5407568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 12:34 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 18*o + 63. Let c be h(-4). What is the third derivative of 13*z**2 - 6*z - 88*z**5 + 13*z - z**4 + 15*z**2 - c*z wrt z?\nAnswer: -5280*z**2 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + (10 + 55 - 53)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (-2)\/(-2 + 1). Solve 4*k + 1 = -s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 * 1\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -3320\/7 (c) 755 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 35. Solve -s + 0 = 5, 4*s + g = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.49032355 to 3 decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let g(i) = -211*i. Let s(k) = -213*k. Let v(a) = 5*g(a) - 4*s(a). Determine b(v(r)).\nAnswer: 406*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xiib when four letters picked without replacement from xiixiixzbb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(2\/7)*g)\/g))\/g)**(5\/11)\/((g**8\/g)\/g**(-4))*(g**(-1\/2))**(-2\/65)*(g**(-1))**(-1\/3) assuming g is positive.\nAnswer: g**(-161879\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561414 is divided by 187021?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 10*y**2 + 18*y - 19. Let z be t(-7). What is h in -28 + 14 - 3*h + 12 - h**z = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3954105 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53896360 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/2)\/t*t\/(t\/t**(-2\/7)*t*t)*t*(t*t**1)\/t*t*t*t\/(t**(-4)\/t)*(t**8\/t)\/(t*t*t**(-1\/10)*t*t)*t\/(((t**(1\/2)\/t*t)\/t)\/t)*t**(-4) assuming t is positive.\nAnswer: t**(547\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142275 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/27, 1, -1, 19, -0.5, 0.3, 0 in descending order.\nAnswer: 19, 1, 0.3, 0, -8\/27, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, 1, -2, 62 in ascending order.\nAnswer: -11, -2, 0, 1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**5\/60 - 5*w**4\/36 - 245*w. Factor s(m).\nAnswer: -m**2*(m + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 57\/10, 4, 0.2?\nAnswer: 57\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, 0.05, -1, 18, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 48*u**2 + 38*u - 20. Let r be p(10). Calculate the greatest common divisor of r and 240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from zeeeewwweew?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-817)\/(-430) - (-4)\/(-10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (182 - (2 + -4)) + -4. Suppose -i - 124 = -4*v. Are v and 75 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93418 is divided by 249.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 12 - 2 - 12 = -42*x + 11, 0 = -2*s - 74 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0, 0.5, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**3 - p**2 + 3*p - 2. What is o(2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 24. Let p = -6 - -4. Sort m, p, 0.\nAnswer: p, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**2 - 129*k + 360 = 0 for k.\nAnswer: 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -67\/305316?\nAnswer: -67\/305316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-44088)\/(-135270) - 4\/(-54)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 14 + 10. Let d = w + -3. Suppose 2*j = 2*x, 0 = -2*x + 3*j - d*j + 4. Solve 5*o + 2*m + x = 0, 3*o + 9 = -6*m + 2*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335421.94 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**5 + 943*l**4*x**2 + 60*l**2 - 2*l*x + x**2 wrt l?\nAnswer: -120*l**2 + 22632*l*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -175590 to the nearest ten thousand.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**6\/60 - b**4\/4 - 2*b**3\/3 + 540*b**2. Solve p(k) = 0 for k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138305)\/13205 + 2*-1*330\/(-60)?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/16)*n**(-2)*n*n)\/(n*n**(-5\/11)*n\/n**1))**(-14\/3) assuming n is positive.\nAnswer: n**(749\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -5\/922 (c) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37370?\nAnswer: 2, 5, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n**2 - 104*n - 1044. Calculate y(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymmymymmm. What is prob of picking 2 y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - k**2 - 5*k**2)*(k**3 - 3*k**3 + 4*k**3) - 3*k**5 - 2*k**5 + 7*k**5.\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + u)*(-19747923*u**2 + 19747923*u**2 - 2710*u**3) - 2*u**4 + u**2 + 2*u - u**2 to the form y*u**3 + m*u**2 + d*u**4 + p + c*u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 2 = 16*s. Suppose -3*h + 0 = -3. What is the highest common divisor of s and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than or equal to 3\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 91, 221, 389, 595, 839, 1121?\n\"Answer: 19*h**2 + 73*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1322)\/(-5) + (-3)\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummmuumvmukmumuuvu. Give prob of picking 1 m, 2 v, and 1 k.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 22*d**2 + 3*d - 2. Is i(-2) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272083115 to the power of 1\/3, to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.067194 and 0.1?\nAnswer: 0.032806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 13*q**2 - 5*q - 1. Is 16 a factor of b(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6088, 12171, 18254, 24337, 30420, 36503?\n\"Answer: 6083*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 4, u: 2}. What is prob of picking 1 u and 1 y?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1303\/8 - -783\/4. Let n = 33 - z. Which is the nearest to 0? (a) -5 (b) 1\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 609 - 609 + 600*x.\nAnswer: 600*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from ffkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610119.\nAnswer: 3, 59, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f - 59. Calculate s(-14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 951*o**2 + 5*o - 3. Is k(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifoaaooonf. Give prob of picking 1 o and 1 f.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 7*m**2 + 4*m - 2. Let h be u(4). Let b = h + -89. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*z - 117*z + 40 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 13*t. Let i be b(-10). Let k(s) = s + 43. What is the remainder when 193 is divided by k(i)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = -10. What is the third derivative of -2*a**6 + 10*a**2 + 4*a**f - 7*a**2 wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 106*r + 1053. Let c be a(11). Solve 2*l + 6 = h, -11*l + h + c = -16*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - w = -7, -2*l + 3*w - 9 = -8 + 11 + 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-81)\/15 - 6\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 285 + -285.04. What is the closest to -0.1 in q, -3, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 960, 1661, 2382, 3123, 3884?\nAnswer: 4665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73610930?\nAnswer: 2, 5, 47, 156619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g - 23. Calculate the remainder when j(-10) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 4 - 5)*(4 - 2 + 1) + 4 - 6 + 0 - 2 - 23 + 1)*(-2*q**2 - 3*q**2 + 4*q**2).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 188, 782, -3, -1\/17, -2\/3 in ascending order.\nAnswer: -3, -2\/3, -1\/17, 188, 782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*s + 29*s - 23*s + (2133 - 3845 + 1922)*(3 - 2*s - 3) to g*s + n and give g.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-18)\/(-135)*-20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 14. Let t = -160.59 + -2.41. Let x = -164 - t. Which is the second smallest value? (a) m (b) 1\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) 10 (b) 4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*f + 213 - 213)*(-2 - 2 + 3 + (-2 + 3 + 0)*(0 - 3 + 1) + 6 - 8 - 4).\nAnswer: -189*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -6441 and -6440 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:10 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 909903?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225213560 and 112606780.\nAnswer: 225213560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -5*x + 2*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*5\/(-2)*(-1501)\/228152\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189, -629, -1317, -2253, -3437?\nAnswer: -4869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*(f**0\/f*f*f)\/f)\/f*f*f)**37*(f*f*f*f**(-4\/3)*f)\/f**4 assuming f is positive.\nAnswer: f**(329\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)\/y)**5\/(y*(y*y**(3\/14)\/y*y)\/y*(y**(-6\/11)*y)\/y) assuming y is positive.\nAnswer: y**(-10883\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150*z - 558*z = 528*z + 2048 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60358269119\/730 - -82682548. Let u = -156\/73 - d. Calculate the common denominator of 16\/51 and u.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616 = -20*g + 9*g. Suppose -80 + g = -6*w. Solve -w*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425, -1697, -4305, -8657, -15161, -24225?\nAnswer: -36257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37527, 37534, 37529, 37506, 37459, 37382, 37269?\nAnswer: 37114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.7 + -0.3. Let s = d + 3. Let w be (-2)\/20*5\/(-2). What is the closest to s in w, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*m - 67 = -52, 0 = -2*z + 20*m - 100 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96039460?\nAnswer: 2, 5, 11, 17, 25679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from pndppxpdnnondnndn.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -60. Which is the fourth biggest value? (a) -5\/4 (b) 0.06 (c) g (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268 + 232 = 6*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 154 = -554. Let a be 775\/f - 2\/(-8). Let m = 22 - a. Calculate the greatest common divisor of m and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 30 - 44 + 25 - 4*u. Let z(b) = 15*b - 46. Let a(i) = 22*g(i) + 6*z(i). Give a(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (17 - -3) - 2. Let s = w + 6. Let a(f) = -f**3 - 14*f**2 + 16*f + 18. What is the units digit of a(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-4 - 373\/6). Let f = 62 - x. Let b = 0 + -2. What is the third smallest value in b, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111247*d + 221641*d + 1505 - 106935*d with respect to d.\nAnswer: 3459","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 31*r**3 - 6*r**2 - 26*r + 76. Calculate the remainder when a(3) is divided by 256.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 4)*(-2*r + 6*r - 2*r) - 2*r + 2*r - 2*r)*(3*r**4 - 6*r**4 + r**4).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 484*f**2 - 220*f + 128517. Calculate x(-485).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/138*(-183)\/(-3599)?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 8, i: 3, u: 2}. What is prob of sequence wrw?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 2:53 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.514327 rounded to 1 dp?\nAnswer: 158.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 0.4, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202514003 to the nearest integer?\nAnswer: 14231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -275, -574, -1073, -1772, -2671, -3770?\n\"Answer: -100*l**2 + l - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.895 + 4.24. Which is the second smallest value? (a) k (b) -0.1 (c) -0.4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**5\/20 + i**4\/6 + i**3\/3 + i**2\/2 - i. Let a be r(-1). Suppose -2*b + a*b = -22. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.216.\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -937*g**3\/6 + 629*g**2\/2 - 165*g. Find the first derivative of o(x) wrt x.\nAnswer: -937","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 19*w - 20.\nAnswer: (w - 1)*(w + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j**(-5\/3)*j)*j)\/j*j*j**0*j*(j*j*j*j\/(j\/(j\/j**2))*j)**(-2\/67))**(2\/25))**(-9) assuming j is positive.\nAnswer: j**(-1104\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 14. Suppose 47*z = -3323 + 3793. What is the least common multiple of z and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + j. Suppose 4*x - 4*o - 5 + 1 = j, -5*x - 1 = o. Suppose x = -5*u + 6*u - 5. Solve u + 7 = 5*c + 4*m, -c + 6 = -m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t - 683*t**2 + 0*t + 12*t.\nAnswer: -683*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -21. Suppose -5*b + 14 = g, -5*b + r*g - 8 = -b. Determine i so that 27*i**b - 21*i**2 + 4*i**3 - 7*i**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/20*-85 + 1\/(-4). Calculate the highest common factor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27566 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44190 + 70257. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -4241875166217?\nAnswer: 4241875166221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + -2 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.24 (b) -2.8 (c) 5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 1, 3, 188888.\nAnswer: 1, 3, 42, 188888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 4*x**2 - 5*x - 2. Let d be o(-3). Let s be (-10)\/d*(-5)\/10. Which is the third biggest value? (a) 2 (b) s (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 + (-4)\/(-3)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3.43+15382731683\nAnswer: 15382731686.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 6. Let y be z(0). Let s(u) = -4*u + y + 2 - 5. Determine s(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 965, 1836, 2709, 3584, 4461, 5340?\n\"Answer: w**2 + 868*w + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.62 + 0.08. Let h = q + 0.2. Let p = 0.1 + h. Which is smaller: p or 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2063.17 to the nearest ten.\nAnswer: -2060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:56 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2477624 and 12?\nAnswer: 7432872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 5*f - 8. Let c be s(7). Suppose 4 = 5*g - c, 2*g + 1250 = 3*n. What are the prime factors of n?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7719528 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z = 3*d - 60*z + 16, 26 = 2*d - 4*z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-12)*-2*2. What is the least common multiple of 30*(2\/a)\/1 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.18373 and -177408.\nAnswer: -177408.18373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-13))**(-28)\/(v**38*v**(7\/2)) assuming v is positive.\nAnswer: v**(645\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125697634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 2:43 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 29*q**3 - 3*q**2 + 11*q - 16. Is a(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 + 3 + 267*o**2 - 3*o + 371*o**2 + 10 to p*o + u*o**2 + j and give u.\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -7*v - 35*v. Let t = -7 + 10. Solve v = -i - t - 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*r**2 - 6*r**2 - 16 + 7*r**2 + (r - 2*r + 0*r)*(2*r - 2*r - 2*r).\nAnswer: -2*r**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6577, 6510, 6443, 6376?\n\"Answer: -67*q + 6644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 - -66. What is the third smallest value in 0.3, 1, p, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 2 + 6)*(-3 + 14*v**2 - 11 + 15 + (4 + 1 - 4)*(v**2 - 2*v + 2*v)) to the form f + m*v**2 + y*v and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + (4 - (-5 - -4)) - -8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:21 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 2 + 0 + 4*g**2 + g**3. Let q be (1 + 13)*(-68)\/(-238). Let y be (-24)\/15*(13\/2 - q). What is o(y)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 10:03 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249561 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4))\/(5\/(250\/10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 864288*b**2 + 67400775*b + 1314226134.\nAnswer: 3*(b + 39)**2*(b + 288018)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/115 - (1819\/(-23) - -5). Solve -15 = -k*c + 79*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36531747?\nAnswer: 3, 7, 579869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**5\/60 + 3*z**4\/8 + 1283*z**3\/6 + 13*z**2. Is k(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -4*g**5\/15 + 23*g**4\/12 + 10*g**3\/9 - 23*g**2\/6 - 2*g - 888. Suppose q(p) = 0. What is p?\nAnswer: -1, -1\/4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1275 - 2588 - 67*m - 4*m + 1322 as t + v*m and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-4 - (3 - 9 - -5)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3a7 (base 12) to base 11\nAnswer: -469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/40*(3016\/130)\/(-29)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 l when four letters picked without replacement from ecacccaclclcccela?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (55\/(-25) - -4)*80\/48. Factor 81\/2*p + 9*p**2 + 1\/2*p**h + 0.\nAnswer: p*(p + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436.827635 rounded to the nearest 10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10843818 divided by 6\nAnswer: 1807303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105044 is divided by 103448.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-272)\/78 + 3 + (-8)\/(-52).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 92 - 48 = 0. Suppose -18 - m = -20*c. Put 6\/5, -5, 0.3, c in decreasing order.\nAnswer: c, 6\/5, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.1, 0.1, 0.07, -1 in descending order.\nAnswer: 0.1, 0.07, -1, -9.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13053?\nAnswer: 3, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -11799170\nAnswer: -9\/11799170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 206793\/7659 - ((-2 - 0) + 76)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -0.4, 2 in decreasing order.\nAnswer: 2, -0.4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 207 + -212.4. Let o = d + 5.400985. Round o to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Suppose 2*l + 0*q + 5 = -q, z*q = 3. Is 3 + -3 + (-1623)\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17238 divided by 2?\nAnswer: 8619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 589993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -210\/62317?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (3 - 10) - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j + 17*j + 9*j)*(-453*j**3 - 911*j**2 + 1818*j**2 - 909*j**2).\nAnswer: -7248*j**4 - 32*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 11*l**8\/336 + 107*l**7\/210 + l**5\/30 - l**4\/4 - 1436*l**2. Find the third derivative of u(o) wrt o.\nAnswer: 660*o**2 + 2568*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2)*(4 - 2 + 3 - 4 + 1 + 5 + 0 - 2 + 1 + (0 + 1 + 0)*(4 - 5 - 9))*(8*o - 2*o - o) as a*o + c and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/286650 and -197\/122850.\nAnswer: 859950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.199 rounded to one decimal place?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 113408 (b) -0.04 (c) -13\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001373 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 5 - 6*w - 27\/2*w**2. 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: Add 516 and 3.\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312940 and 48460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 11*z - 10. Let p be v(-9). Suppose -p = -8*f + 4*f. Suppose f*b - 40 = -3*b. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145162.\nAnswer: 2, 181, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 6:48 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000110418 to seven dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**7\/483 - k**5\/230 - 8*k. Factor l(a).\nAnswer: 2*a**3*(a - 1)*(a + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3 + 224*u**2 = 0.\nAnswer: 0, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h + 3. Let b(f) = -5*f - 2. What is 5*b(v) + 6*o(v)?\nAnswer: -v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 52495256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 324327803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 57*z**2 - 115*z + 123. Determine m(59).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45401 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*b**4 - 31802*b**3 - 25319130*b**2 - 55560974*b - 10099684 = 0. Calculate b.\nAnswer: -1589, -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 11. Let g(l) = 17*l. Determine g(w(k)).\nAnswer: 34*k**2 - 187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386, 385, 384?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11342 - 13051?\nAnswer: -24433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2, 5.\nAnswer: -5, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*l + 19*l + 5*x = 25, 2*l + 2*x = -6. Let h(o) = 6*o - 2. Let w(j) = -7*j + 1. Let g(f) = -f. Let b be g(-6). Let d(p) = b*h(p) + 5*w(p). Give d(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.5 - -47.5. Let n = q + -42.000092. Round n to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12502.\nAnswer: 2, 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90500105 by 18100021.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*r - 2028, 0*r + 3*r - 4*x = 1524. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 426*j**4 + 393*j**2 - 5*j**5 - 668*j**4 + 372*j**4 wrt j?\nAnswer: -300*j**2 + 3120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 40 = 15. Suppose -3*j - 37 = 4*u - 2*j, -3*u - 5*j = 49. Is u != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*n**2 - 107*n**2 - 99*n**2 - 80*n**2.\nAnswer: -43*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-260)\/20)\/(2\/(-86))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29050*r + 149779.\nAnswer: 29050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/1865 - -50287\/63410. Find the common denominator of n and -1\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 331 = 4*f + 350, -4*f = 2*z - 250. Suppose z = q - 0*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(11)*-1 - sqrt(22)\/sqrt(2)*-5)**2*3 - ((0 + sqrt(1331))**2 + 2*sqrt(11) + -1).\nAnswer: -802 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 1, n: 2, b: 4}. Give prob of picking 2 w and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20178 is divided by 582?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 11\/28, 4\/9 in increasing order.\nAnswer: -0.5, 11\/28, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/14 + -2)\/(28\/14). Let n = -0.06 + -1.94. Which is bigger: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 242393.\nAnswer: -5\/242393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3\/(-18) + (-32)\/(-144) + 778750\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 148650 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2535 and 3.16372.\nAnswer: 3.41722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - j**3 - 2*j - 119*j**2 + 117*j**2 + 10 + (-13*j**3 - 5*j**3 + 51*j**3)*(2 + 1 - 1).\nAnswer: 65*j**3 - 2*j**2 - 2*j + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64055 and 33420?\nAnswer: 768660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 261, -5, 172 in increasing order.\nAnswer: -5, -1, 3, 172, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 4*f + 15. Suppose 3*d + 2*d = 120. What is the least common multiple of l(3) and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - o - o**2 + (-32*o + 3*o - 4*o)*(-3*o + 4*o - 3*o) to the form d*o**2 + z + i*o and give d.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 82614053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 429 and 4332?\nAnswer: 619476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by (0 + -2)*(3 - 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -399*g*w + 266256*g - 366*w wrt w?\nAnswer: -399*g - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + y = -6, -5*y = 5*d + 44 - 34 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 23. Let c be y(-16). Put c, -9, -5, -3 in decreasing order.\nAnswer: -3, -5, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 107. What is the greatest common divisor of d and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 765841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o + 1. Let j be q(1). Suppose -5*r - j*b = -3*b + 28, 2 = -2*b. Let u(k) = -k - 3. List the prime factors of u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12876 (b) -0.28 (c) -364\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 7*x - 12. Let w be y(-9). What is the common denominator of ((-27)\/(-8))\/(w\/4) and 151\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*a - a**4 - 6*a**2 + 8 + 5*a + 8*a**3 - a**4.\nAnswer: -2*(a - 2)**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-200)\/10*2\/5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -624 + 14355\/23. Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213643 is divided by 487?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 2:35 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 34 and -3202360109903.\nAnswer: -3202360109869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -40. Suppose 4*t = n*f - 57330, -4*f = t - 3*t - 114690. Let k = f + -688315\/24. Calculate the common denominator of k and 5\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c**5 + 205491*c**4 + 1370240*c**3\/3 + 761300*c**2\/3 = 0.\nAnswer: -10\/9, 0, 7613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/144119689 or 1?\nAnswer: -6\/144119689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10276900 rounded to the nearest 100000?\nAnswer: 10300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 852845*a**4 + 34983165*a**3 + 179774850*a**2 + 3472480*a + 16800 = 0.\nAnswer: -35, -6, -4\/413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4649 - 3306. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -155 + 115. Suppose 18*i - 92 = -x*i. Factor 4\/5*d**4 - 16\/5*d**3 - 8\/5*d + i*d**2 + 0.\nAnswer: 4*d*(d - 2)*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1)*(1 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3\/3 + 11*u**2\/2 + 3. Let f be t(11). Is -4\/7 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/40 and -23\/78.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6072 + -847?\nAnswer: -6919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131213 (base 4) to base 15.\nAnswer: -865","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 8. Let z be y(-7). Let q = z + 17. Suppose -q*b + 664 = 2*t, 3*t = -b - b + 665. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -25*j + 151. Let p be z(-9). Calculate the highest common factor of 47 and p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -801.999999522 + 802. What is i rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -70*x - 3024. Give q(-47).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:13 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102022101 (base 3) to base 15.\nAnswer: -269a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 16. Calculate f(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(90\/(-576)*4\/3)*5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-5))**(4\/7)*(z**(-2\/21))**12 assuming z is positive.\nAnswer: z**(16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -18*d - 16. Does 28 divide w(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -295 + 766. Let j = k + -419. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-238)\/(-51)*(-1800)\/(-560)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6128 and 40796394.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/15*6)\/2. Solve -2*v = -v + y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -60.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -6 + 20\/(-36).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2489 + 2493. Solve -3*v + s + 16 = 0, s - 8 = v + w*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1940855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a decade in months?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -3*j**4\/4 - 28*j. Let y(g) = 5*g. Calculate w(y(n)).\nAnswer: -225*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3142 - 23222?\nAnswer: -20040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -394 - -120. Let f = i - -273. Let a = -0.3 - -2.3. What is the closest to -2 in a, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2093332?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 11, 12, 9, 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 594.64772.\nAnswer: 594.24772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1111814 tonnes?\nAnswer: 111181.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4851 + -1485. Let x = i - 2179. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 <= -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 4*p**2 + 177*p**3.\nAnswer: 177*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(126) - (sqrt(126) - 3*1*sqrt(126) - sqrt(126)))\/sqrt(6))\/(sqrt(108) - -6*-1*sqrt(108)).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-464)*(456\/(-532) + 76\/(-42))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-1\/4)*p\/p**(4\/5))\/(p\/(p\/(p\/(p*p**(-4))))*p*p**(-6)*p)*(p**(1\/3)*p)**4*(p\/p**(2\/5))\/p**(2\/3) assuming p is positive.\nAnswer: p**(403\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 2*i + 11. Let f(q) = 15*q**3 - 690*q**2 + 4365*q - 1671. Let p(a) = -f(a) - 3*j(a). Suppose p(c) = 0. Calculate c.\nAnswer: 2\/5, 7, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 2 a when four letters picked without replacement from paatk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -l + 24, 2*l - 5*l - 40 = 5*g. Let b be (-45)\/6*g\/10. Suppose 0 = b*p - p - 15. What is the least common multiple of p and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2 - (4 - 5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*l - 32 = -96*l + 2*m, l - 3*m = 50 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.26? (a) 1 (b) 0.1 (c) -1\/3 (d) -280\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-321*n + 73*n + 139*n).\nAnswer: 218*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03418407 rounded to three decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961290369?\nAnswer: 3, 13, 2738719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1331 - -2.133063981. Round f to six decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6*w + 14 = 0. Let i(y) = -3 + 0 - 2*y - 2*y - 5*y**2 + 13*y. Let x(f) = f**2 - 2*f + 1. What is w*i(p) - 9*x(p)?\nAnswer: p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021211212 + 1101?\nAnswer: -1021210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5799 - 1733. Calculate the highest common divisor of 38 and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2899 + 2900. Let d(g) = -9*g**2 - 2*g + 1. Give d(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159843400769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 526 + 114674?\nAnswer: 11509a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**4 - 7*n**3 - 1263145*n - 73635318.\nAnswer: 12*n**3 - 21*n**2 - 1263145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71 and (-1)\/(-12) + (-517984)\/(-384)?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 217b - 83?\nAnswer: 20c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2917 or 0.3?\nAnswer: 2917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 2*z**2 + z + 6. Let g be c(0). What is the highest common factor of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 12*h - m, -35*h - m + 12 = -37*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -282 - -429. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96454793*b**3 + 65*b**2 - 8408?\nAnswer: 578728758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4882.497 micrometers?\nAnswer: 4882497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -3. Let p(y) = y**2 + 6*y - 5. Let b be p(-7). Let a = b + v. Calculate the remainder when 14 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (sqrt(147) + 0 + 4) - (sqrt(147) + 2 + -1))*3.\nAnswer: -21*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6664441*u**2 + 37926*u + 6321. Let r(c) = -2109*c**2 + 12*c + 2. What is 6321*r(d) - 2*s(d)?\nAnswer: -2107*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46819.59257 rounded to zero decimal places?\nAnswer: 46820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10*u = 0. Suppose b + 411 = 3*t, 4*t - 3*b - 548 = -u*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:43 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4184\/3, -4, -0.4 in descending order.\nAnswer: 4184\/3, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and 3785733394426.1.\nAnswer: 3785733394426.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1349.7 - -750. Round q to the nearest 10.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 0 - ((-3 - -20 - 1) + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -882676 - 1.2?\nAnswer: -882677.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 + 3*p\/2 - 1978.\nAnswer: (p - 86)*(p + 92)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 t when four letters picked without replacement from {z: 1, k: 14, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.1*-183029.\nAnswer: -1848592.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 248\/(-16) + (-81)\/54?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 46*h**2 - 46*h - 77. What is x(47)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b - b + b)*(42 + 18 + 10)*(-227 + 227 + 146*b**3) as x*b**4 + i*b**2 + g*b + l*b**3 + o and give x.\nAnswer: 30660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 - 26*h + 10. Let l be i(7). Let b be 9\/2*l\/(-18). Is 0 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12bee7 + -8b?\nAnswer: 12be5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 18879 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1. Let x(p) = -4*p + 8. Let l(k) = -x(k) - 8*z(k). Let m(n) = 5*n - 8. Let v(y) = 3*y - 5. Let j(h) = -5*m(h) + 8*v(h). Calculate l(j(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.05, 4630.\nAnswer: -0.5, -0.05, 4630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22959 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2058.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256 times 0.4?\nAnswer: 502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:18 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013846 rounded to 7 dps?\nAnswer: -0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (1 - 0) - (-1 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 1. Let b = -3.639 + -0.061. Let d = 3.7 + b. What is the third biggest value in k, 0.4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -893610997\nAnswer: -893610997.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000049 to seven decimal places.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67951528?\nAnswer: 2, 8493941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.9376 + -0.7806. Let i = -27 + r. Let l = i - 0.087. Which is the fourth biggest value? (a) 0.3 (b) -0.2 (c) -4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -2, -21580, 3 in increasing order.\nAnswer: -21580, -2, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -3*x + 264. Suppose x*t = 120*t + 96. Calculate the remainder when 109 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 4 + 4. Let b = 8 - 6. Let s(a) = 4*a + 0*a + b*a - 4*a. Give s(f(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.5 + 6.5. Let n = -16.2 + g. Which is the closest to 3? (a) 2 (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 167607\/38 + -4411. Let i = d - 579\/133. Find the common denominator of 137\/18 and i.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - (3 - 13)) + -47 + (3 - 2) + -5?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 886974291 divided by -63?\nAnswer: -14078957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*l - 1538*l + 91833 = 2121*l - 121457 for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 20 = p. Let z be (2\/p)\/((-2)\/(-24)). Let f = z - -8. What is the greatest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 3. Suppose -x*o - 4 = -5*k, 4*k + 5*o = -0*o + 36. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369\/6 - 5\/10 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 + -73. Let r(b) = b**2 - 11*b + 7. What is the remainder when g is divided by r(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d**(-1\/7))\/(d**(1\/5)\/(d*d**5*d))*((d\/(d\/d**(-1\/2)))\/d)**(-1\/24)*((d*d**3)\/d)\/d**0 assuming d is positive.\nAnswer: d**(3923\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 183928 and 528793?\nAnswer: 4230344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227 = -63*u + 11*u + 71 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3058*f**2 - 4330*f**2 + 1490*f**2)*(f + 1 - 1).\nAnswer: -5898*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6*o*o*(o\/(o*o**(-2\/7))*o)\/o)\/(o*o**(-5)*o**(-9)) assuming o is positive.\nAnswer: o**(149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + 0)\/(-15) + (-539)\/(-2499). Let u(t) be the third derivative of -t**4\/24 - 7*t**3\/6 + 2*t**2. Let a be u(-6). Which is bigger: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 706477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -0.5. Let v = 0 + -0.6. Let q = v - 2.4. Put q, z, 4\/7 in descending order.\nAnswer: 4\/7, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 2 = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 5*r + 4. Suppose 2*g = -2*u - 2*g + 12, 5*u = -3*g + 37. Suppose -o + 4 = u. What are the prime factors of d(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41267244 != -41267221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 472907, 472908, 472909, 472910?\n\"Answer: p + 472906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21*((-210)\/(-7))\/30\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1546*k - 1565*k = 0. Let h = -5 - -7. Sort k, -3, -13, h in ascending order.\nAnswer: -13, -3, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 186*b - 189*b + 78. Suppose -3*w - 1 + 13 = 0. Suppose -p + 4*o = o + 2, 40 = w*p + 4*o. Calculate the remainder when b is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 231366452?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 14. Calculate the least common multiple of 2 and k(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.5 + 119.5. Let g = -124.999818 + q. Round g to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**4\/12 + x**2 + 3*x. Let y be u(0). Suppose -3*n + 99 = -y*s, 0 = -3*n - 2*s - 3*s + 78. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 651 (base 7) to base 8.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 10:40 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.2 (b) 0.3 (c) 0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 160 = 2*t - 4*p, 2*p + 82 = 2*t. Let u be (-2)\/(-4) - (-13)\/((-26)\/(-383)). Calculate the highest common factor of t and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 85. Let r = 16 - o. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(4 + -2*((sqrt(539) + 2)*-3 + sqrt(539) - (sqrt(539) + 5*-2*sqrt(539)))))**2.\nAnswer: -211800 + 6272*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9.71, 7, 0.1, -0.03?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 592 - 568 + 1160.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 31ed?\nAnswer: -31eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2411981 and 1001?\nAnswer: 16883867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3, -3*m + 6*m = q + 13. Let z(p) = p**3 - 11*p**2 + 11*p - 8. Let j be z(10). Solve 14 = j*v + m*r - r, 2*v - 10 = -r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6784\/3 - -2262. Factor 2\/5*z - j*z**4 + 0 + 2\/15*z**2 - 14\/15*z**3.\nAnswer: -2*z*(z + 1)**2*(5*z - 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.351 + 0.051. Let r = 1.7 - k. Is 13 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 67. Is -24 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 - 4220*u**2 - 21135*u - 10. What is i(-5)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -253?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 - 2*i**2 - i\/2 + 2.\nAnswer: (i - 4)*(i - 1)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6aa4241 - -5?\nAnswer: -6aa4238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 3*o**2 + 2*o + 1. Let a be i(3). Let j be 260\/24 + (-82)\/(-492). Suppose 0 = a*s - j - 59. What is the remainder when s is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (4 + -36 - -22 - (-16 - -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 10.762696052.\nAnswer: 7.762696052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 9*k**2 - k + 14. Let x be r(9). Which is smaller: 9\/2 or x?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 20*y**2 + 276*y - 5751. Calculate q(18).\nAnswer: -1431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1018706 and 156?\nAnswer: 6112236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 5*y + 80 = 0, 4*y - 2*y - 8*y = -4*c - 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*d + 42 - 42 - 91*d.\nAnswer: -32*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Suppose 2*h - 2 = x, h + 29 = g*x + 4*h. What is the derivative of -2*q**4 + 11 - 7 + 0*q**x wrt q?\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -77085 - -51?\nAnswer: -77034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17.37? (a) -4 (b) -5\/12 (c) 1 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -468*k + 176*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2606 <= -0.087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7184855 is divided by 100.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 232 + -214. What is the smallest common multiple of 24 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3565483 + -1923265. Let i = 1642218.690041 - m. Let k = -0.69 + i. Round k to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -45*f + 49*f + 8, 0 = -f + 3*u + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-1 - 2) + 9 + (4 - 17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + 50. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.01842?\nAnswer: -0.07368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(-4*k**4 + 2*k**4 + 4*k**4 + 2*k**4 - k**4 - 2*k**4 + (2*k**3 - 7*k**3 + 3*k**3)*(0*k + 3*k - 2*k) + 0*k**4 + 7*k**4 - 3*k**4).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cb92 (base 13) to base 9.\nAnswer: -86045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15003, 15032, 15061, 15090?\nAnswer: 15119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 69. Which is the closest to z? (a) 0.2 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201 (base 9) to base 16\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 17*k + 4. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s - 24*s - 4*s**2 + 37*s**2.\nAnswer: 33*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4405*d - 92*d - 552*d)*(d**2 - 4*d**2 + 2*d**2 + 2) to z*d**3 + b + i*d + w*d**2 and give i.\nAnswer: 7522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*v + 256, -2*v + 236 = 2*v - 2*g. Suppose 2*f - 6*f = -128. What is the remainder when v is divided by f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-399)\/15 + (-4)\/10. Let m be (-105)\/k + -3 - 1. What is the third biggest value in m, 0.1, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 0.04 (c) 1\/3 (d) 14 (e) -131 (f) -1 (g) -419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/(4\/24). Let g be (5 - (x + 4))\/1. Let f(m) = 8*m**3 - 1 + 2*m + 25*m**2 - g*m - 26*m**2. Give f(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 0 + sqrt(2057) - (sqrt(2057) - 1*sqrt(2057))*-2) + -3*(5 + sqrt(2057)*-4) + 3)**2 + -5.\nAnswer: -2574*sqrt(17) + 347709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448))**2 + 2 + (-3 + sqrt(7))*2.\nAnswer: 2*sqrt(7) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*q**3*r*u**2 + 10*q**3*r*u - 2*q**3*u**3 + 2*q**3*u**2 - 2*q**3*u + 2*q*r + 18*r*u**4 - 319*r*u**3 wrt u?\nAnswer: -12*q**3 + 432*r*u - 1914*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00094146264 to 7 dps.\nAnswer: 0.0009415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85.95 + -85. Let y = 79713.05118 + -79714. Let s = y + h. What is s rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/27, -3\/7, 0.4 in ascending order.\nAnswer: -3\/7, -0.2, 2\/27, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:26 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 29, 101, 237, 449, 749, 1149, 1661, 2297?\n\"Answer: 2*p**3 + 20*p**2 - 2*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 783181171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/8 + 15\/20. Let q(l) = 5*l - l**w - 5*l + 0*l**2. Let g(p) = -8*p. Calculate g(q(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 1)\/(-2)*-6. Is 26\/r - (-2)\/3 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*s = -5, -3*z + 0*s = -7*s + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56816313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25032 divided by 6.\nAnswer: -4172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**4 + a**2 - a. Let d(t) = 21*t**4 + 5*t**2 - 5*t + 15. Let m(s) = d(s) - 5*k(s). What is the first derivative of m(u) wrt u?\nAnswer: 64*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 270 - 245. Calculate the remainder when 96 is divided by g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329 = -18*m + 72 + 49 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25247745.0473 and 3.\nAnswer: 25247748.0473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 8*o - 2. Let g(c) = 7*c**3 + 17*c**2 - 87*c - 13. Give g(a) - 5*m(a).\nAnswer: 2*a**3 + 17*a**2 - 47*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 3. Let z(p) = -p**3 - p**2 + 3. Let c be z(0). Calculate l(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6059 + 5811.1. Round d to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 25 = 2*o, 5*s - 25 = 2*o. Solve s = 2*u - 0*u - t, -9 = -u - 2*t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**2 + 51955*m - 806634 with respect to m.\nAnswer: 2*m + 51955","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h**(-2\/13)*h*h)*h**(4\/3))\/((h*h**20)\/h)**(2\/13) assuming h is positive.\nAnswer: h**(-179\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3, -5.\nAnswer: -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 14893.2849.\nAnswer: -29786.5698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -2*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*z - 2*o + 8, -5*o = 4*z - 20. Suppose -19 = -5*h - 2*b, z = -5*h - 3*b - 6 + 27. Suppose -h*k + 125 = -520. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 92*i**2 + 7 - 75 - 75 + 157.\nAnswer: -92*i**2 + 3*i + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + 0*q - q - q**3 + 6*q)*(-2*q + 14*q + 14*q).\nAnswer: -26*q**4 - 52*q**3 + 130*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 156 = 11*u. Let r = u - 18. Is (-981)\/(-12) - 1\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 22*n = -d + 94, -4*d = -2*n - 200. Calculate the remainder when 446 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.9 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*i**2 - 22\/3 + 13\/3*i.\nAnswer: -(i - 11)*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21310 (base 4) to base 3\nAnswer: 212021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*o = -105*o - 115*o + 297088. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)*y*y\/y**(-10))**18\/((y**(-2\/9))**(-1\/4))**(-3\/14) assuming y is positive.\nAnswer: y**(4537\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*v - 9*v. Suppose 48 = h + 2*m, 2*m = -5*h + v*m + 296. Which is smaller: h or 57?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/30*(-5)\/2?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 23*v**3 + 6*v**2 - 7*v + 1. Let s be o(1). Suppose -6*a = -s + 17. Let l be -2 - (a - (4\/4 - -4)). Solve -6*f + 20 = -l*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = 3*x + 47*r, -1778*r = -1776*r - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97149 - -97673.986. Let h = -539 + g. Let o = -14 - h. Round o to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 7*f**2 + 11*f - 9. Let j be v(8). Suppose 3*t = j + 12. Suppose -3*q + 11 = 2*n, 4*n + 2*q - 1 = t. Let c(a) = 5*a + 1. Calculate c(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, h: 12}. What is prob of picking 3 h and 1 k?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 8 - 8)*(0 + 1 - 4) + 2*n**2 - n**2 + 6*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*v - 226, 0*d + 224 = 4*v - 2*d. What is the remainder when 125*-5*(56 - v) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*-0.13\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*190\/(-280) + 3\/(-2) + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-373 - (0 - 2))*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 10:47 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 4*n + 195. Let t be c(12). Let q(s) = -2*s - 19. Let y be q(18). Let x = y + 78. Solve -x + t = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 1:28 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3.7*0.5\nAnswer: -1.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -263*x**3 - 10*x - 130. Let q(c) = -262*c**3 - 9*c - 129. Let r(n) = -6*g(n) + 7*q(n). Find the second derivative of r(z) wrt z.\nAnswer: -1536*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/12 + -1 + 2. Let k(z) be the second derivative of x*z**3 + 0 + 2*z + 1\/2*z**2. Find the first derivative of k(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -3, -4, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/928 and (-1455)\/(-6528) + (-103)\/1751.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/27 + 20\/(-9). Let w = 2008 - 2015. Let o = w - z. Is o less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -17*w + 5*w. Calculate the remainder when w is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 18*y**2 - 20*y + 15. Let n be s(-19). Suppose n*q - 36*q = -6. Solve -q*o + 3 = -0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l - 5 = 0. Differentiate -l + 2*z - 4*z + 1 wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**3 + 6*r**3 - 17 - 32 + 49.\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 7*l**2 + 11*l + 15. Let n be q(5). Sort 41, 1, 9, n in decreasing order.\nAnswer: 41, 9, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 90, -4, 3 in decreasing order.\nAnswer: 90, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 141113*x - 141129*x + 161 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2920 divided by 292\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -332799*f**2 - 233988.\nAnswer: -665598*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2448))**2 - (-1 + sqrt(17) + 0) - ((sqrt(17) + (2*sqrt(68))\/sqrt(4))**2 + (sqrt(2448)*-1)**2).\nAnswer: -148 + 47*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 7*w - 69. Let r be h(-5). Let a(z) = z**2 + 11*z - 10. Determine a(r).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*j + 7, -55*j - 17*n + 179 = -59*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57275943 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1415, -2834, -4253, -5672, -7091, -8510?\n\"Answer: -1419*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(2\/37))*t)\/t**(-23) assuming t is positive.\nAnswer: t**(886\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1736, 3321, 4644, 5573, 5976, 5721, 4676?\n\"Answer: -22*q**3 + q**2 + 1736*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - 1*sqrt(175))*3)**2 - (((5*sqrt(63))**2 - sqrt(7)) + sqrt(7) + (sqrt(63) + sqrt(7))*-2).\nAnswer: -1575 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 3*i**2 - 3*i**2 + (-2*i - i + i)*(i + 0*i - 2*i) + 3*i**2 - i**2 + 4*i**2 + 2 - 2 + i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 321 = 4*h - 2*h, -2*h = -2*b - 336. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4182?\nAnswer: 2, 3, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 2*y**2 - y - 1. Let p(w) = 660*w**3 + 12*w**2 + 6*w + 655. Let h(d) = 6*j(d) + p(d). Differentiate h(l) wrt l.\nAnswer: 1944*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1012314 + -2334?\nAnswer: 1004430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnnvtntn. Give prob of sequence vtn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {p: 11, q: 2, g: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2 - 107*l - 882. What is the remainder when r(-7) is divided by 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -840 by -21.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -178909100 rounded to the nearest 100000?\nAnswer: -178900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 234*k - 68846. What is p(136)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 - (-2 + -1)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.554 - -78.566. Round m to 0 dps.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q - 52*q + 1807 - 3742 = -1615 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2427, 4848, 7267, 9684, 12099?\nAnswer: 14512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23231 (base 4) in base 16?\nAnswer: -2ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/8 and 39\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21374 - a?\nAnswer: 21366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003055033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 0 - 12*z**2 - 2\/3*z**3 + 0*z - 1\/24*z**4. Suppose -4*g = -28 + 8. Give b(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1203475136 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 + g**3 - g**3 + (0 + 1 + 0)*(21994*g**3 + 173*g**5 + 21994*g**3 - 43996*g**3).\nAnswer: 175*g**5 - 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 5*h**4\/4 + 145*h**3\/3 + 400*h**2 + 660*h + 994. Factor g(u).\nAnswer: 5*(u + 1)*(u + 6)*(u + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 289? (a) 1 (b) 2\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.171 + 0.171. Is -1\/658 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((144\/420)\/((-76)\/190))\/((-26)\/14).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q = -2*m - 18, -306*q + 309*q = 4*m - 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*p + 86*p + 66 + 113 = 3*v, -6*v = -p - 25 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*b - b. Let h be (-182)\/21 - 4\/b. Let j = h + 7. Let p(q) = q**2 - q + 1. Let a(l) = 4*l**2 - 5*l + 3. Determine j*a(m) + 3*p(m).\nAnswer: -m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -23*n**3 - 8*n**2 - 17*n - 31. Give b(-3).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8 - 2\/56. Let t = 39 - 38.7. Which is the biggest value? (a) 2 (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 9*t = -7*t - 3, 5*t = -3*y + 7. Let x(o) = -1. Let u(h) = -4*h - 3. Determine y*u(k) + 2*x(k).\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9056.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((3 - -78)\/(-3) - 5)*-4. Calculate the greatest common divisor of x and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 76 = -5*i, -2*i + 20 = -2*j + 4. What is the highest common divisor of 219 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 + 17) - -38.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**4\/12 + 3*r**3\/2 - 3*r**2 - 158*r. Determine o(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w = 4*w + 236. Which is bigger: 31\/11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afaafaaaansoaafaoa. What is prob of sequence oano?\nAnswer: 11\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 1)*(5918\/100606 + 0 + (-234)\/(-68))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 - 11850*h**2 + 248741*h\/3 + 710860.\nAnswer: (h - 35543)*(h - 12)*(h + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.33812 and -48.9.\nAnswer: -16.534068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1424192712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 2*s + 3. Suppose 0 = -5*c + 4*w - 17, 2 = 4*c - 0*w + 2*w. Let b be (-4)\/(-3) - c\/(-3). Let h(p) = -2*p - 1. Let u be h(b). Calculate d(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 0. Let b = -0.42 - 4.98. Let h = j + b. What is h rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from huweq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 22\/6*(-12)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*r - 309 = -118*r. List the prime factors of r.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 6*p - p - 2*p + 3 - 3 + (0 + 1 + 1)*(-p + 0*p + 0*p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, r: 2, j: 1, t: 1, z: 1, o: 1}. Give prob of sequence taoj.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*q - 28 + 260, 2*q = -3*r + 166. Solve 719*o - 709*o = q for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 906 = 4526. What are the prime factors of f?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/13))\/s*s*s**(-2\/7)*s*s*s**(-2)*(s\/s**0)\/s*(s*s\/(s\/(s\/((s\/(s\/(s\/s**1)))\/s))))**(-4\/5)\/(s**4\/(s*s*s**(-6))) assuming s is positive.\nAnswer: s**(-4477\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, o: 10}. Give prob of sequence ooo.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - 25861 + 23*x - x - 6*x + 22*x.\nAnswer: 30*x - 25861","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**6\/30 - r**5\/5 - 8*r. Factor m(t).\nAnswer: -t**3*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*b + 5*q, -4*b - 2*q + 0*q = -26. Suppose -4*c + 4 = 0, 0*c = -2*n + c - 13. Let d be 14\/(-7) - (n + 1). Solve d*y = b*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*f = -22195 + 8135 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002455 to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s. Suppose l + 4*l + 30 = 0. Let g = 6 + l. Let w(a) = a + 1 + g*a - 1. Determine w(z(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -i + 11 + 48, 0 = -q + 3*i - 1. Let j = 18 + q. Let w be 54\/14 - j\/(-14). Solve -w + 1 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1054038577.\nAnswer: 1259, 837203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 4*x**2 + 10*x + 10. Let z be f(-5). Does 17 divide 147\/(-9)*(z + 6) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*z - 4*d + 12, 0 = 3*z - 2*d - 6. Let g be (-33)\/39 + -1*6\/39. Let r = 3 + g. Solve 3*l = 3*p + 17 + 13, -10 = r*l + z*p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*x - 7, -x = -0*x - 4*z + 2. Suppose x*g - 162 = -b, 9*b - 13*b + 5*g + 596 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from nqnnqnnn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 2*i - 3)*(2 - 1 - 3).\nAnswer: -4*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/140 and -87\/350.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 14 = -1706*y + 1680*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 40 - 34*v + 75*v - 130799*v**2 - 28*v. Let w be u(-5). What is w rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3681.\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 230 = 5*z - 5*s, 212 = 5*z + 4*s. Let m(t) = 15*t + 66. Let o be m(-6). Let q = o - -34. Calculate the least common multiple of q and z.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*s**2 - s - 1235*s**2 + 8*s + 489*s**2 - 1231*s**2 as i + f*s + y*s**2 and give y.\nAnswer: -2161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 6968280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1322555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 70\/(-10)*6\/(-14). Let d(x) = 5*x**2 - 2*x + 4. Let w(j) = -6*j**2 + 3*j - 5. Give s*w(a) + 4*d(a).\nAnswer: 2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9277 is divided by (-70)\/21*3 - -42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(210))\/sqrt(7) + sqrt(30))\/sqrt(6) + (sqrt(5)*1*6)**2 + sqrt(5)*-1*-2.\nAnswer: 4*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20 = 6*n. Let j = n - 1. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3248 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/11731 and -1\/5.\nAnswer: 58655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100170490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7043841 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 3) + (1\/(-1))\/1. Find the second derivative of -50*a - i*a**2 + a**2 + 43*a wrt a.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 + 23. Let q = 53.000045 + v. What is q rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1459, -3097, -4755, -6427, -8107?\nAnswer: -9789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 6 + (2 + 0 + 0)*(2 - 5 + 4))*(0 - 1 - 2)*(3*r + 4*r - 4*r).\nAnswer: 54*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f - 43570 + 44328)*(6 - 4 + 2).\nAnswer: 8*f + 3032","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:17 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 3*j**2 + 0*j**2)*(-4*j + 2 - 3 + 5*j).\nAnswer: 5*j**3 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12666756 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(10)*-1) - sqrt(3)) + (sqrt(3) + 4*sqrt(3))*1.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186732054 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4078876 millilitres?\nAnswer: 0.0004078876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44757.\nAnswer: 3, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 4*v - 12. Let y be z(6). Suppose -7*j - 5*j - 1882800 = y. Round j to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.46312 rounded to one decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 3. Suppose -m - m + 3*o + 138 = 0, -m + 71 = -o. What is the remainder when m is divided by y\/(-10) - (-528)\/20?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1873317.51 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 7*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-2 - r + 2)*(9 - 1 - 1)*(15*r - 16*r + 4*r).\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 1\/3*a**3 + 94 + 28*a + 0*a**2. Give g(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a. Let o be r(1). Differentiate 6*k**3 - 8*k**3 + 2 - o with respect to k.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 26*j - 49. Let t be o(-24). Let v = -0.02 + 5.02. Put -5, v, t, 2 in descending order.\nAnswer: v, 2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.3, 773 in descending order.\nAnswer: 773, 6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14091?\nAnswer: 3, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 4*y + 4. Let j(s) = -3*s**2 - 11*s - 13. Determine -4*j(a) - 11*u(a).\nAnswer: a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (7 - -1 - 19)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 11781?\nAnswer: -1177a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 107 = 3*z, -18*z - 1298 = -14*z - q - 1152 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/6*4\/12*100. Differentiate -45*d**4 - 13 + n*d**4 + 50 + 96*d**4 wrt d.\nAnswer: 404*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 16*b - 48. Let k be u(12). List the prime factors of -49*(((-180)\/14)\/5 + k).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**4\/4 - 4*x - 5476. Let j(l) = 1 + 4 + 1 - 5. What is -12*j(k) - 3*t(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49499332.\nAnswer: 2, 19, 67, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*l - 20, -4*p + 3*l + 40 = l. Let y = -273 + 273. Suppose y = o - p*o + 1503. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 3*p. Let w(c) = 6*c**3 - 10*c**2 + 16*c - 11. Calculate 10*t(a) + 2*w(a).\nAnswer: 12*a**3 + 2*a - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(1\/68*4). Let q = 142 + k. Calculate the remainder when 112 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46c (base 15) to base 3.\nAnswer: 1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -177*x. Let o(m) = 2*m. Determine a(o(p)).\nAnswer: -354*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 14*r - 3*o, -4*r = 5*o + 36. What is the common denominator of (-15)\/(-1 + r) + (-138)\/(-8) and 31\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 39*y**2 - 23*y + 210. What is the hundreds digit of c(27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.079 + -13.24. Let l = -0.061 - n. What is the third biggest value in -0.4, 3, -4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 24*h**2. Let s(v) be the first derivative of -5*v**3\/6 + 129*v + 136. Let o(k) be the first derivative of s(k). What is l(o(m))?\nAnswer: 600*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 7801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/9)*z)**(-2\/91) assuming z is positive.\nAnswer: z**(-34\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6650107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 693536553 to the power of 1\/2, to the nearest integer?\nAnswer: 26335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4958.\nAnswer: 2, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9566, 9567, 9568?\n\"Answer: h + 9565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -70269.6996 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*s - 263 - 469, 0 = 5*s - 20. What are the prime factors of y?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = 4*g, 2*x = 3*x - g - 10. Suppose 0 = 2*b - x*o - 3262490, -b + 5*b - 6524980 = 5*o. Let a = -4171245 + b. Round a to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 6 - 3)*(-v - 5*v + 2*v) + 1 + 3*v - 1 to the form w + o*v and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 21. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g + 6*g - 20*g + (2 + 0 - 3)*(2*g + 2*g - 6*g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3515, -3505, -3495?\n\"Answer: 10*d - 3525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*m = 1971*m - 25*m - 79096 - 6431 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - q + 6, -5*q - 175 + 178 = 7*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -43416 divided by 4\nAnswer: -10854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4082581634?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + a**2 - a**3 + (-1343*a - 322*a**2 + 1343*a)*(a - 5*a + a).\nAnswer: 965*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/((-75)\/9))\/((-4)\/(-20)). Let n(w) = -7*w**2 + 7*w + 2. Let i(k) = 48*k**2 - 48*k - 16. Let y(p) = q*i(p) + 20*n(p). Solve y(j) = 0 for j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1256, 1116, 882, 554, 132?\n\"Answer: -47*d**2 + d + 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 1228983240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 78\/21 - (-10)\/35. Suppose -4*q = -z*h + 40, -3*h = -1 + 7. Let s = q - -24. What is the least common multiple of 6 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12623*m*r**3 + 6*m*r**2 - 689034*m - 2705*r**3 + 7 wrt r.\nAnswer: -75738*m - 16230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 13 + 14 = -5*l, 15 = -l - 3*x. Let k be (-10)\/l - (-4)\/6. Let n(o) = -o**2 + 4*o - 2*o + 0*o - k*o. Give n(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**7*i))*i)**(2\/69))**(-1\/13) assuming i is positive.\nAnswer: i**(-6\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1686601362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from ejeejjvnfeeefenenle?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = c - 30. Suppose 6*f - c*f - 12 = 0. What is the highest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 271, -2\/3, 4, 0, 1134?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -c - 3, k + 4*k - 5 = 0. Let u(x) = -2*x + 3. Let f be u(c). Let j(q) = -36*q. What is the units digit of j(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8986 divided by -659\nAnswer: 8986\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5787.6 - -5790.6. Let o = -2.7 + 3. Sort o, 2\/19, n, -0.05.\nAnswer: -0.05, 2\/19, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-20)\/16 - 45\/60)\/((-2)\/(-3)). Let y(x) = 11*x + 14*x - 20*x. What is y(r)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90189 and 2277?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3 = -5*z. Let t = -22 - -22. Suppose -3*n + 2*n = 5, -z*f - 5*n + 95 = t. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2360 * 0.4\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -297697*d**5 - 103*d**2 + 4*d - 335 wrt d.\nAnswer: -17861820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000310791681 rounded to 7 decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/10)*l)\/l**(-7\/2)*l**23*l*l**(-7) assuming l is positive.\nAnswer: l**(107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b3 + -132445?\nAnswer: -132352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -123*y**3 + 181?\nAnswer: -369*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 713 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -59166, -59144, -59132, -59136, -59162, -59216, -59304?\n\"Answer: -u**3 + u**2 + 26*u - 59192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -6*x + 67. What is the highest common divisor of x and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.955 + 0.666. What is r rounded to 2 dps?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*m, 12 + 35 = -2*y + 5*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -52 * 116.193\nAnswer: -6042.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - -33886?\nAnswer: 34017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -695 + 694.999593. What is t rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -82, -161, -262, -379?\n\"Answer: n**3 - 20*n**2 + 2*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 774 and 222?\nAnswer: 28638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-10)\/(-14) - 1) + 4608\/56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a - 36. Let w be t(-3). Sort w, 1, -1.\nAnswer: w, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8611.721 litres in millilitres?\nAnswer: 8611721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34529 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, o: 5, p: 1, t: 8}. Give prob of sequence tjo.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwyvweywwwvwy. What is prob of sequence eyv?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 - -3) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73770, -73771, -73772, -73773?\nAnswer: -73774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i + 331 - 331)*(156*i + 146*i - 19*i + 38*i + 63*i) in the form n*i + l*i**2 + k and give l.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(-4 + sqrt(99) + -4 + 1).\nAnswer: -56 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 1. Let d = 4 - -1. Let r be t(d). Suppose -4*w + 2*q + 2*q = 20, -4*w = 4*q - 4. Put 1, r, w in decreasing order.\nAnswer: r, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 9. Let o = -16 + 18. Let j be -3 - (-71*o - 4). Calculate the greatest common factor of i and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 89754, 358992, 807708, 1435890, 2243526, 3230604?\n\"Answer: -2*h**3 + 89751*h**2 - h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.078 (b) 28622 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-3))\/((-16)\/(-36)). Suppose 75 = -x*p - 5*w - 17, -4*p + w = 92. Let y = 32 + p. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*l - 5, -2*l + 4 = -4*x + 14. Solve 0 = x*n + 2*y + 9, -2*y = 5*n + 3*y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/8245 and 47\/16490.\nAnswer: 16490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**3 + 4*z + 3*z**3 - 9*z - 4*z**2 - 1 - 5*z**3 to r*z**2 + i*z + o*z**3 + j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*k**2*q + 741*a**2*k*q + 10*a**2*q - 13005695*a*k**2*q**2 - a*k - 15*q**2 wrt k?\nAnswer: -2*a**2*q - 26011390*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 88675144 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -331.\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**7\/63 - y**6\/20 - y**5\/30 + y**4\/36 - 189*y**2. Factor c(l).\nAnswer: -2*l*(l + 1)**2*(5*l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/3))**21)**(-1\/94) assuming z is positive.\nAnswer: z**(-7\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.11?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/98*82075\/23100 and 89\/154.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-9)\/(-3)))\/((-95)\/30)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(6)\/sqrt(2) + sqrt(15)\/(sqrt(5)*-1 - sqrt(5)).\nAnswer: sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/243760 and 47\/4986.\nAnswer: 2193840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 139568103 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -310*m - 1243. Let c be s(-4). What is the nearest to 0.6 in 5, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 773.8 - 773.6. What is the closest to j in 0.26, -4\/7, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -1120435\nAnswer: 26\/1120435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w - 47. Let r = -146 + 139. Let z be n(r). Solve p = z*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3066 + 3069. Let h(y) be the first derivative of 0*y**2 + 5*y + 0*y**g - 13 - 9\/4*y**4. Differentiate h(p) wrt p.\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 - n + 2. Calculate r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -43*p**3 + 7*p**2 + 43*p - 9. Let j(q) = 23*q**3 - 3*q**2 - 19*q + 4. What is 7*j(b) + 3*z(b)?\nAnswer: 32*b**3 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 2 (c) -1\/9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 18 = 20. Put y, -3, 16 in decreasing order.\nAnswer: 16, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -1\/6*j**4 - 16*j**2 - 1\/360*j**6 + 0 - 4\/9*j**3 - 1\/30*j**5 + 0*j. Determine k, given that z(k) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let k(r) = 2*r - 4. Let t(s) = 10*s - 20. Let d(f) = -11*k(f) + 2*t(f). Let b(y) = -4*y + 9. Let z(v) = 4*b(v) - 9*d(v). Determine z(c(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 350331 - 350331.0573253. Let f = -0.0573 - z. What is f rounded to 6 decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/966 and -121\/546?\nAnswer: 12558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 762 a factor of 80010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21*(2\/(-2))\/((-483)\/(-138))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-27 + 54 - 23).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -301, -773, -1463, -2365, -3473, -4781, -6283?\nAnswer: -7973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11082 is divided by 291?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 3, t: 7, a: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 8*n**2 + 109*n - 145. Calculate the remainder when p(14) is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (1 + -1 - -1 - (25 + -70))) + -4\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3*l = 5*n - 14, 5*n - 11 = -4*l. Which is the smallest value? (a) 3.3 (b) n (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kiuuxauiki. What is prob of picking 3 i?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 + 12*c + 123. Calculate h(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 16091.918 to the nearest 100.\nAnswer: 16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-5 + (sqrt(272) - (0 + sqrt(272)) - sqrt(272))**2)*6 + (2*(sqrt(272) + 2 - sqrt(272))*-6)**2).\nAnswer: 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + z + 118. Calculate the remainder when d(0) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 4*p - 14 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3608037.\nAnswer: 3, 133631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 4*u - 12, -2*u = -56*h + 51*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, l: 4, i: 2}. Give prob of picking 1 l, 2 m, and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3477, 4042, 4981, 6294?\n\"Answer: 187*t**2 + 4*t + 3286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 18670 = 5*y, -777*y + 780*y = -i + 3738. Is i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 divided by 11\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -90, -65, -18, 57, 166, 315?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-28))\/((-3904)\/(-54656))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 86 + (3 + -2)*-2. Suppose 0 = d + 1, -21*w + 16*w + d - 1574 = 0. Let q = -231 - w. Does q = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 324.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**4\/4 - 7*n**3 - 11*n**2 - 52*n - 1986. Give p(22).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(480)*-6)\/(sqrt(10) - (sqrt(10) + sqrt(160))*6).\nAnswer: -5 + 24*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.83 + 19.17. Let z = 35022\/5 + -6865. Let p = z - 139. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a day in minutes?\nAnswer: 29520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*c, 9*l + c = 4*l. Solve 2*h + 5 = l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.99 + -0.01. Let o = -0.16 - 0.04. Let f be (0 + 1\/3)*-2. Which is the closest to 2? (a) f (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -772 - -1194. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 10. Suppose -48 - 33 = -j*m. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5239)\/(-338) + 28\/(-2). Let o = 56\/93 + 2\/31. Which is the nearest to -2\/7? (a) o (b) 1\/4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -3 (c) 0.0087\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 16 = -116*m + 116*m, -4*m = -174*u + 1384 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1033.652 millimeters?\nAnswer: 103.3652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * -0.859.\nAnswer: -0.14603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-56))\/((-231)\/60 - -4). Let o = 73\/483 + g. Which is the third biggest value? (a) 3 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23182, -23296, -23486, -23752, -24094?\n\"Answer: -38*a**2 - 23144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*q + w + 3, q = -0*q - 2*q + 995*w + 9022 - 2060 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000033092 to 7 dps.\nAnswer: -0.0000331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*u - 58*u + 13*u = -331*u + 8725 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53983*b**3*o + 69849*b**2*o - 2 wrt b.\nAnswer: -323898*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4824\/96)\/(-1 - 43\/(-44)). Let g = x - 1089. Round g to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48622748?\nAnswer: 2, 19, 491, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-643 + 643 - 66*n)*(5*n - n - 2*n) + n + 3*n**2 - n in the form f*n + c*n**2 + q and give c.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 28*o**3 + 8*o**2 + 8*o. Let v be ((-5)\/20*-6)\/((-5)\/(-3180)). Let u(l) = -1 - v*l**3 + 5*l + 973*l**3 + 1 + 5*l**2. Calculate -5*c(s) + 8*u(s).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-15\/7)*z)\/z)\/z**(-2) assuming z is positive.\nAnswer: z**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9893\/2 + -4947. What is the fourth smallest value in b, 1, 101, -2\/5?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11\/31?\nAnswer: 11\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwdwdww. Give prob of picking 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*m = 407991, 3*m = 3*p - 2*p + 102009. Round p to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8996 and 670.\nAnswer: 3013660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/72 - -1\/72. Let x = 1147 + -1144. What is the nearest to x in -1\/7, s, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/21)*m**(-6\/11))\/(m**0*m**4))**16 assuming m is positive.\nAnswer: m**(-16448\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a factor of 24994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/6))\/x)\/x**(-4)*x\/(x*x\/(((x\/x**(-6)*x*x)\/x*x)\/x))*x*x**(1\/3) assuming x is positive.\nAnswer: x**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*l - 36 = -628*l + 1238*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 96.4?\nAnswer: 1.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -538.2, 15, 1.3.\nAnswer: -538.2, 1.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*g + 360 = 133*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3696 plus -1597.03?\nAnswer: -5293.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 441\/4 + 15\/20. Let h be (-2)\/(-18) - f\/27. Which is the smallest value? (a) -6 (b) h (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (12 + -36) - -31\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 15) in base 7?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1865, -3699, -5545, -7409, -9297?\nAnswer: -11215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j**2 + 11*j**2 + 8*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4872 and 812?\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 1\/14 (c) 14720\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 11. Let z(b) = -b. Calculate z(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17362934 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 23*c - 28*c, 0 = 3*s - 3*c + 2976. Let r = -374 - s. List the prime factors of r.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + 93 + -63 + (27 - -14)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 h when four letters picked without replacement from whwhhhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -928 divided by 974?\nAnswer: -464\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 224 = 204. Let y = -59 - w. Suppose p - 4 = -z, -5*z - p = -3*p - y. Which is greater: z or 7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105 - 34114524?\nAnswer: -34114415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1032539 at most as big as -1032539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 584 and 6888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23906878866 take away -558?\nAnswer: -23906878308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/7 - 593858*y**2\/7 + 3563234*y\/7 + 593870 = 0 for y.\nAnswer: -296935, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 421464 and 13697580.\nAnswer: 27395160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21483235?\nAnswer: 5, 4296647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -64*m - 381. Is 3 a factor of l(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - -39. Suppose 3*v - 127 - 107 = 0. Let r = v - p. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 126.08 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -4. Suppose -f = -0 - z. Suppose 0 = t + f*v - 128, 3*t - 196 = t + 5*v. What is the highest common factor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -29 (c) 0.1 (d) 5 (e) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11\/5 in 368, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.31 - 0.18. Let i = 0.23 - t. Let y = -0.2 - 0. Sort y, 1\/5, i in decreasing order.\nAnswer: 1\/5, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/20 - j**3\/3 - j**2\/2 + 3*j. Let y(a) be the first derivative of o(a). Differentiate y(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 20 = 5*m, -4*v = -0*v. What is the tens digit of (m - 5)\/(2\/(-754))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 5:17 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.123 + -0.11158472416\nAnswer: 0.01141527584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122934 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(3\/2)*h\/(h\/(h\/((h\/h**(-27))\/h)))*(h**0*h*h)\/h**7)**(-4\/13) assuming h is positive.\nAnswer: h**(126\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1964240*u**3 - 4*u**2 + 33837059*u wrt u.\nAnswer: -11785440*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61213\/18 - 3395. Calculate the common denominator of ((-122)\/(-16))\/(6\/12) and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 v, and 1 j when four letters picked without replacement from {i: 1, v: 8, j: 4}?\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*c = -304 - 518 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 22645, 0.3, 0.08, 3, 4\/3, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 46. Let t be m(12). Let c = -8 - -13. Suppose -4*y - 4*d = 8, -c*y = d - 6 - 4. Solve 3 + y = t*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.497862218 rounded to five decimal places?\nAnswer: 0.49786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -141*j - 3. Let y(o) = 1270*o + 26. What is -52*w(i) - 6*y(i)?\nAnswer: -288*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 + x**2 - x - 2. Calculate g(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19743?\nAnswer: 3, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 5, 1238, 10, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 9:16 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from eylyyyyee?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 + -110. Calculate the remainder when y - (9\/(-3))\/(-1)*-1 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/90 and -121\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8372.\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w - 9*w + 6*w + (0*w + 0*w + w)*(1 + 3 - 2) + (1 + 1 - 4)*(-2 + 2 + 2*w).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + f**3 - 3*f + 4*f**2 - 4*f**2 + 14. What is n(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 2:30 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1497587 to the power of 1\/2, to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 552*f**2. Let k(a) = 4689*a**2. Calculate i(k(y)).\nAnswer: 12136669992*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2728868 divided by -7316\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1650 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97647 * -2.\nAnswer: -195294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 7 - 7 = -2*w, o - 14*w = -2*o - 54 + 46 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*v**5 - 19*v**4 - v**2 - 1621*v - 2 wrt v.\nAnswer: -2100*v**2 - 456*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**15*n*(n*n\/n**(-3\/11))\/n*n\/(n*n*n*n\/(n*n**(-3\/14))*n)*n*n*(n\/(n*(n*n**(2\/31))\/n))\/n)**9 assuming n is positive.\nAnswer: n**(-558819\/4774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 17) + -19 + 9 + 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.04963, 11 in ascending order.\nAnswer: -3, 0.04963, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2091979671.\nAnswer: 3, 1327, 525491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.368 * -33.4.\nAnswer: -12.2912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.4 + 3. Let l = 0.1217 + -0.1217. What is the biggest value in m, l, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3*o**2\/2 + 1. Let m(a) be the third derivative of -4*a**2 + 0 + 1\/20*a**5 + 0*a**4 + 0*a + 0*a**3. Give m(q(t)).\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000400924 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -345 + 339.02. Let z = 28.72 - n. Round z to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 979, 1100, 1291, 1546, 1859, 2224, 2635?\n\"Answer: -a**3 + 41*a**2 + 5*a + 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3*(sqrt(704) + sqrt(704)*2 + sqrt(704) + sqrt(704) + 3) + 0)**2 + -3 + 4)*1.\nAnswer: -792410 - 10800*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 68257.7 days?\nAnswer: 1638184.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 11*x**2 + 2*x + 1. Let a(t) = t**2 - t - 1. Let z(f) = -2*a(f) - r(f). Let g be z(-13). Are g and -1\/25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 471 - 667. Let m = -11 - v. Is 16 a factor of m\/10 + 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 - -2?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*a - 87*a = 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.91, -5, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11168 and 0.5.\nAnswer: 5584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1176 + 1177. Suppose i + 16 = -4*u - 4*i, 5*u + i - f = 0. Suppose 2*d + 2 = 3*d. Solve -3*s + d*t - 18 = 0, -3*t - 2 = 3*s + u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 + 7*r. Let p(g) = -g - 9. Let c be p(-10). Let q(m) = -m**3 - m**2 - m. Let k(a) = c*q(a) + w(a). Let u be k(5). Solve u*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092180 is divided by 685?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6284967 is divided by 148?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**3 - 132*n**2 + 127*n + 23. What is p(32)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*m - 4, -2*m - 3*s + 36 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - (9 - 1) - (1 - 1). Let t(b) = -b**2 + b - 2. Give t(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*a - 46, -2*l - 2*l - 5*a + 26 = 0. Suppose l = -5*w + 34. What is the remainder when 14 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l - 19*l - 85 = -149 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-36)\/(-189)*-9)\/((8 - 4)\/(-756)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 267*l - 259*l + 72 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -64*a**2 + 621*a + 228. Determine y(10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.07, -0.24, 75, -4, -716\/7?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 10, -3*w = -11*t + 13*t - 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.696281 years to centuries.\nAnswer: 0.03696281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2\/23 (c) -126 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4*c + 16. Solve -3*v - 5*w = 20, -c*w - 2*w = 2*v + 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, 4\/11, 3\/4, -10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*12\/(-45)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 21*x + 0*x**3 + 5*x + 10*x**2 - 2*x**3 + 3.\nAnswer: -2*(x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - w + 4 = 0, c = 4*w - 0*w + 5. Let d be -1 - (-92*1 + c). Calculate the greatest common factor of d and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2877, -2872, -2867, -2862?\nAnswer: -2857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-108)\/(-112))\/9)\/((-24)\/(-16)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29608 - 23557 = -35*c. Suppose 0 = -20*d + 13*d + c. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*a**2 + 1294698*a - 88*a**2 - 1294698*a.\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + 1.94. Let h = t + -2. Let x = 0 - h. Which is the third smallest value? (a) x (b) -0.4 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5*d)\/((d*d*d**(-3\/7))\/d))**(-2\/5)*(d\/d**1*d)**(-12\/11)*d**(2\/5)*((d\/(d\/d**(-4)*d))\/d*d)\/d*d assuming d is positive.\nAnswer: d**(-3027\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwlsl. Give prob of sequence sw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (432\/84)\/(388\/(-194))\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 11. Let t = y - 3. Suppose -4*l + t*l = 12. Put -2\/5, 0.1, l in increasing order.\nAnswer: l, -2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 2. Let j = p + 2. Let r(q) = -37*q - 42. Let o be r(-1). Which is the biggest value? (a) o (b) j (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 47 = -5*x + 8*x, 18 = 2*x - 4*d. What is the remainder when 75 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 10) to base 6\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4*i + 10, 0*i = -5*z + 5*i + 40. Let l = z - 4. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:33 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 46746265 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d**2 - 94*d + 49. Let g be f(-19). What is the greatest common factor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*b + 14. Find the third derivative of -2*t**b - t**3 - 3*t**2 + 4*t**2 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*s = -6 + 13, 5 = 3*l + s. Suppose -f = 2*a + f + 4, f = 4*a - 2. Solve 0 = -p + l*b + 1, a = 3*p - 2*b - 1 - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 323620 - 17?\nAnswer: 323601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 + 27*x + 41. Let k(s) = -11*s**2 - 41*s - 62. Let h(u) = 5*k(u) + 8*y(u). Find g such that h(g) = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 7) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-41)\/(i**2*i*i\/(i*i**0*i)))**(7\/5) assuming i is positive.\nAnswer: i**(-301\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from pzqpqqnuzuppqhzup.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 0*l**5 - 1\/56*l**8 + 0*l**3 + 0*l**2 + 0 + 0*l**6 + 0*l**7 - 4*l + 1\/4*l**4. What is the third derivative of d(j) wrt j?\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7697654 = 7697657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 4:05 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39808, -39829, -39936, -40129?\n\"Answer: -43*w**2 + 108*w - 39873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**2 + 2288170*o + 43477035 = 0.\nAnswer: -19, 457653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 163 - 107. Suppose 0 = -2*k + 40 + f. Calculate the smallest common multiple of k and 5.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -578.817884 rounded to 0 dps?\nAnswer: -579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158078 - -158079.83978. Round u to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -380.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)\/j**(-4))\/((j\/j**3)\/j)**(-42) assuming j is positive.\nAnswer: j**(-856\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -100230112?\nAnswer: -100230102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -199.\nAnswer: -1393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 1. Let n = o + 21. Suppose 2*c + 5*z + 13 = 5*c, 4*c = 5*z + n. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-2\/39)\/o*o)*o)\/o**(-9))\/(o*o\/((o*(o*o**(-2\/3))\/o*o)\/o)*o*o\/(o\/(o*o**19*o))*o) assuming o is positive.\nAnswer: o**(-190\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {d: 3, p: 15}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2 - 8*s = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1\/j)**(3\/8)\/(((j*j**(-1))\/j)\/(j*(j*j**3*j)\/j)))\/((j**(-2))**(-38))**(1\/2) assuming j is positive.\nAnswer: j**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2751 (base 9) in base 5?\nAnswer: 31241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 843*r + 5040. Give s(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75884 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 732, 730, 728, 726, 724, 722?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1764.2*-144.\nAnswer: 254044.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8813\/741260 + -1\/2851. Let w = -1\/20 + m. Suppose 0 = 3*d - 2*d. Is w smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 31. Let a be v(-7). Suppose -315 = -a*w - 1155. Let k be 3\/(-5) - w\/(-385). Is k greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*v = 21, -5*y + v + 4*v + 45 = 0. What is the nearest to -1 in y, 4\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*p**2 + 2*p**2 + 50*p**3 + 16 + 9*p**2 - 7*p**3 wrt p.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 1258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(126)*-2 - sqrt(126)) + sqrt(126))*2)\/(6*(sqrt(18) + sqrt(2))))**2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5 = 0, -2*i + l = 2*i - 21. Suppose i*x - 8*x + 136 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1540\/190 - (312\/76 + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 1125347?\nAnswer: 1125347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4313 + 4429. Calculate the remainder when 968 is divided by m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293268 is divided by 48877.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/48*3\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**6\/240 + m**5\/16 - m**4\/4 + m**3\/3 - 1. Let t(j) be the third derivative of k(j). Factor t(y).\nAnswer: -3*(y - 4)*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.38 + -16. Let n = -1200 - -1199.196. Let o = 0.404 + n. Which is the second smallest value? (a) o (b) k (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 7. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*x**6 + 177*x**5 + 3*x**4 - 112*x**2 - 18?\nAnswer: 360*x**3 + 10620*x**2 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -18*c + 16*c, 0 = 2*c + 5*y. Suppose 33*r - 17*r = c. Solve -2*f + 4 = -r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 - 92799740*l + 6458843808050700.\nAnswer: (l - 139199610)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2952 divided by -3?\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - 5 - (-25 + -131 + 146) - -63?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 6)\/(6\/(-4)). Let z(u) = 16*u**2 - 3*u + 2. Does 18 divide z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*l + 19394 = -12606 for l.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5 - 7*l**4 + 15*l**3 - 9*l**2 = 0. Calculate l.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2538293 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0 (base 15) to base 4.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133890*a**3 - 133893*a**3 + 2*a - 2*a.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*l = 383*l - 2100. Calculate the greatest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 1 = 2*h + d, -d = h + 3. Sort h, 1, 45.\nAnswer: h, 1, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 2 - 3 - 3*t. Let c(b) = -3*b**2 - 17*b + 8. Let r be c(-6). Suppose 2*j - u + 2*u - 5 = 0, 0 = -r*j + 2*u - 4. Calculate s(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*y + 765 = 4*y - 93 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3417 and -0.1157.\nAnswer: 395.3469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 86. Let x = 44 - p. Let i = 14 - 10. Which is the closest to -2? (a) 4\/5 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2576 by -1319.\nAnswer: -2576\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 2\/19 (c) -20.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3606595\/8 less than or equal to 450823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 2, l: 4, q: 1}. What is prob of picking 2 l and 1 x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**4\/8 - 21*t**3\/8 + 33*t**2\/8 - 15*t\/8 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -803 divided by 23?\nAnswer: -803\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445623573.\nAnswer: 3, 8297, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/10671 (b) 3 (c) -2 (d) -1 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0) + 12 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 61 = 3*w - 51, -3*w - 3*y - 15 = 0. Let g = 0.09 + -1.09. Which is the closest to g? (a) -1\/12 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 3)*(1 - 3*b - 1)*(0*b + b - 3*b) to d*b**2 + g*b + a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*n + 15*n + 48. Solve -n*i - 5 = 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 2*c + 5. Does 8 divide s(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.66 times -8051\nAnswer: 77772.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 171\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m = -776 + 136. What is the greatest common factor of m and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 13*q - 21. What is h(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 382439 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*x**3 + 2*x**2*z - 14292*x**2 + 6*x*z + 124*x - 416*z wrt x.\nAnswer: -186*x + 4*z - 28584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -21\/2, -1\/4, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9629337 bigger than 9629256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.48 + -0.68. Let j = 0.35 - 0.05. Let f = 1 - 0. Which is the second smallest value? (a) j (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 473526633911.\nAnswer: 473526633910.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 3, -3, 13, -9239 in increasing order.\nAnswer: -9239, -3, -0.7, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 697 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 790534882*r - 455290?\nAnswer: 790534882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and (-3)\/(-9) - (-25)\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -18. Suppose -3*x = 2*j - 44, -5*x + 40 + 60 = -b*j. What is the tens digit of (-804)\/x*(-6)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*i + 5*i - i)*(16*i + 4*i + 13*i) to o + r*i**2 + g*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26709632 + -0.38.\nAnswer: 26709631.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 3*l**2 + 3*l - 1. Let k(m) = m**2 - 6*m + 5. Let h be k(3). Let b be s(h). Factor -13*y + y + 19*y**3 - 15*y**b + 4 + 4.\nAnswer: 4*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4351300 rounded to the nearest one hundred thousand?\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7561476.\nAnswer: 2, 3, 13, 107, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l, 0 = 4*z - 5*z - 2*l + 143. Let s = -76 + z. List the prime factors of s.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpsp when four letters picked without replacement from {l: 2, p: 1, i: 1, v: 1, t: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1615 - 1280. What is the remainder when z is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.062 - -2.962. Let r = 3 - x. Which is the closest to r? (a) -5 (b) 1\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134734 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1007930 and 238.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12134394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (289 - 377)*14\/(-4). Solve -305*y + r*y + 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o = 6*o. Let w(p) = 27*p. Let d be w(1). Suppose o*i - i = -d. Calculate the greatest common factor of 18 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-362)\/15 - 14\/(-105). Let o(s) = s**2 + 22*s - 28. What is the remainder when o(m) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705071078 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111929 rounded to 3 dps?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79\/790)\/((-28)\/(199920\/(-21))).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b - 19401 + 2*b + 38792 - 19391.\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 23. Suppose -i = c - 24. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 13 = 25. Let z(t) = 5*t**3 - u*t**3 + t - t**3 + 14 - 5 - 4*t**2. Let d be z(4). Is d at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362 is divided by 168.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5.82 or 0.04711?\nAnswer: -5.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1204*q + 1709*q - 319*q - 274*q in the form b + a*q and give a.\nAnswer: 2320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/223682 and -145\/1746.\nAnswer: 2013138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 + 9 + (-233 - -198).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -0.4, 0, -6, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5252923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4\/40*-6 - (-11 - -9)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -190 and -191 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -29*y + 0*y**2 + 2\/27*y**3 + 0 - 1\/108*y**4. Find i such that s(i) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a + 2*j + 13, j = a - 6. Let w be 1\/(2\/1*(-11)\/(-506)). Calculate the greatest common divisor of a and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 11 (c) -231\/4 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16433 (base 14) to base 4.\nAnswer: 31212131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 t when three letters picked without replacement from {c: 1, t: 13, n: 3}?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = 3*p - 243. Suppose 0 = -h - p + 29. Let w(y) = y**2 - 9*y - 5. Let q(f) = 2*f - f**2 - 6*f + 0*f + 2*f**2 - 2. Give h*w(c) - 5*q(c).\nAnswer: -3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1932783553?\nAnswer: 11596701318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34205477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2 = -42. Suppose 2*u + 1 = g. Solve -u*v = 17 - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8971, 10691, 12411?\n\"Answer: 1720*c + 7251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.059, -5, -2\/3, 7 in ascending order.\nAnswer: -5, -2\/3, -0.059, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 19397 - 31900 - 19691.\nAnswer: q - 32194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.9 - 29. Let q = 0.02 - -2.08. Let x = j + q. Which is the nearest to x? (a) 3 (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 277451397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2*s - 18*s**2 - 10 - 2 - 80*s**2 + 15 in the form x*s + z + w*s**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 16126504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 - -2 - (56 - 47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 45.55051km?\nAnswer: 4555051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 34890 = 2*r + 4560, 3*s = -4*r + 23670. List the prime factors of s.\nAnswer: 2, 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from {f: 3, o: 1, g: 1, d: 1, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.62 - -40.18. Let h = 40.800802 - z. What is h rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2 + i - 1473*i**3 + 737*i**3 + 734*i**3 - 11*i**2. What are the prime factors of s(-7)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3221176 is divided by 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/43*9*1*-20*(-16)\/2880\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence isns when four letters picked without replacement from sinanssnsnr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**3 - 3*k**3 + 2*k**3)*(6*k**2 - 4*k**2 - 3*k**2) - 11*k**5 + 5*k**5 - 8*k**5.\nAnswer: -17*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 4*u - 9. Let b be q(6). Let f be 2*(15\/(-6) + b). Is 2 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 15*u = -36, 25 = -2*t - t - 197*u + 91*u + 102*u for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 3*v)*(3 - 3 + 3*v**2)*(v + 4*v - 9*v).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 7*b - 2. Suppose -6048*q + 84 = -6036*q. Give h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -703 divided by -6\nAnswer: 703\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -d + 8, -5*m - 12 = -2*d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 10.1. Let s = 0.1 - n. Let l be 2\/(-3) - 40\/(-42). Which is the second biggest value? (a) l (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 22, -19, -117.\nAnswer: -117, -19, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000010011 (base 2) in base 7?\nAnswer: 44616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 5 + -2)*16*(-19)\/4560\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -865 less than -886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 6*m + 4. Let w = 21 - 15. Let f be c(w). Suppose -8 + f = -k. Solve x + k = -3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**3\/4 + 6003*g**2\/4 + 522828*g - 243343440 = 0.\nAnswer: -1128, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(2\/(-24))\/((-476)\/224)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -162*m**3 - m + 8*m**4 + 162*m**3 + 2 as v*m + u*m**2 + i*m**3 + j*m**4 + x and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6533474 (base 9) in base 12?\nAnswer: -1211034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 0*n - n + (4 + 0 - 1)*(-5*n + 5*n + 3*n) - n - 1 + 1)*(-4*n - 30*n**2 + 4*n).\nAnswer: -270*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, o: 7, y: 2, f: 2, p: 1, i: 1}. Give prob of sequence eif.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/1889?\nAnswer: -3\/1889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**2 + 5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 5*w + 1, 11*i - 3*w = 12*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 1659*s - 585998. Determine h(-510).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2825 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w. Let p(d) be the third derivative of 11*d**5\/60 - 34*d**2. Calculate p(c(o)).\nAnswer: 176*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/27*(-3)\/(-2). Put -9, b, 3 in decreasing order.\nAnswer: 3, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + d + 10. Give m(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**2. Let b(t) be the first derivative of t**5\/60 - 50*t**2 + 77. Let l(z) be the second derivative of b(z). Calculate l(y(q)).\nAnswer: 36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -654, 204, 11\/8?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 555 divided by 9122.\nAnswer: 555\/9122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.17 + 0.83. What is the closest to 6 in s, 1, -0.01?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1053, -1631, -2743, -4515, -7073?\nAnswer: -10543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 106 = -3*x - 7*s, -70 = -3*x + 5*s. Suppose -4*w = -x - 18. Sort 1, 4, w in descending order.\nAnswer: w, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24677 (base 13) to base 9.\nAnswer: 111838","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -16 times 40227901?\nAnswer: -643646416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/11 (b) -1\/7 (c) 48\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(3*sqrt(312) - sqrt(312)))\/(2*sqrt(24)))\/((-1*sqrt(324) - (sqrt(4) + sqrt(484)*3))*1).\nAnswer: -3*sqrt(13)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/945586 or 0?\nAnswer: 9\/945586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3849 - 137*z**2 - 9*z + 9*z - 3425 wrt z?\nAnswer: -274*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + n = 6*n - 2198, -4*s + 2949 = 3*n. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 + 1771*f**5 - 1277*f**5 - 3*f**3 + 0*f**3 + 1 + 4*f**5 - 1 - f**5 - 2 + 2 + (-4*f**3 + 0*f**3 + 2*f**3)*(f**2 - 2*f**2 - f**2).\nAnswer: 501*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(((-18)\/4)\/9). Solve -2*u + 5*q = -26, 17 = 3*u - i*q + q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8002 + 269*g - 8002 to t*g + s and give t.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 0*m = 840. What is the common denominator of (2\/(-22))\/((-4)\/m) and 51\/13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 184 = j, 5*y + 168 = 10*y + 3*j. Calculate the highest common factor of y and 306.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56*q**5 + 174*q**2 wrt q?\nAnswer: -3360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -4 - (-10 + 3 + 8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 192 - 188. Suppose 0 = -5*w + 25, 0*w - 15 = -a*o + w. Solve -o*n = -6 + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3488*k + 22322 = -9567 - 9967 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -t - 4 + 5, 2*l = 5*t - 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 15. Suppose -m + 1 = -t*r, -3*r = -r - 4*m - 8. Let w be (-18)\/(-81) + r\/9. Which is bigger: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/((-13)\/104). Solve 2*w = -2*d - 2, 0*d - 26 = 2*w - j*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -10)\/(((-2450)\/84)\/175).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41\/104 + 10\/13. Which is the biggest value? (a) 0.1 (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2 - -7) + -6 - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 11) to base 6.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - ((-2126)\/6 + 1)*15.\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhdrhsshrpshh. What is prob of picking 1 s, 1 d, and 1 r?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -14*p + 5. Let s(w) = -w + 1. Let h(i) = -5*s(i) + z(i). Let x(c) = 2*c**2. Calculate x(h(t)).\nAnswer: 162*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1845926 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 47, 1, -3, -2, 19 in descending order.\nAnswer: 47, 19, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 10:37 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -148341.6 to the nearest one thousand.\nAnswer: -148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -12.0035. Round d to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.2 times -1.1\nAnswer: 7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:07 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 20 = 3*x + 5*p, -5*x + 26 = p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -482243.8 to the nearest one hundred.\nAnswer: -482200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1725, 3, -4 in descending order.\nAnswer: 1725, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1\/6 (b) -51 (c) -31 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4 + 134180*u**3 - 671088*u**2 - 2952464*u - 2147200 = 0. What is u?\nAnswer: -33550, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108196673443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3\/7 - 10*a**2\/21 - 2*a\/21 + 2\/21 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19401 (b) -3\/8 (c) 600\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897439?\nAnswer: 103, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*g + 23, -2*x + 19 = x + 4*g. Calculate the remainder when 49 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2772 + -2774. Let n(q) = -q**2 + 4*q + 1. Let y be n(3). Sort m, 5, y in descending order.\nAnswer: 5, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 1, i: 1, u: 1, b: 1}. Give prob of picking 1 i and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59345088 by 96.\nAnswer: -618178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -4*u**2 + 0*u + 0 + 1\/21*u**3 + 1\/56*u**4 + 1\/420*u**5. Let j(o) = 0. What is o?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-42))\/(44\/(-77))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 242614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, u: 1, q: 5, b: 2, i: 2, h: 1}. Give prob of picking 1 h, 1 u, and 1 i.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = 3*x + 60. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 687 + 651 - 1339 - 515*s in the form t + o*s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 624298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (3\/3 + 0). Let b(w) = 9*w - n + w**2 - w - 2*w**2. What is the tens digit of b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - 5. Let l = b - -21. Let o = l - 1. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4, -410*v + 415*v = -3*q + 426171. List the prime factors of v.\nAnswer: 3, 28411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5282 - -0.0972. What is l rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 654\nAnswer: 261.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 35 = 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28, -171, -422, -781, -1248, -1823, -2506?\n\"Answer: -54*p**2 + 19*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*c + 6 - 8 + (-2*c + 2 - 2)*(-5 + 4 + 3).\nAnswer: -7*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1961370 - 3581370. Round c to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134.999994 + -135. What is g rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6422 = -473*a + 226*a for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-38))\/(((-1326)\/52)\/51)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64953 is divided by 1044?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 186690430*k - 277611137 wrt k?\nAnswer: 186690430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and 1004\/35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/((-290)\/(-60)))\/(15\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 108\/(-108)*4\/(-12). Factor -q*h**2 - h**3 + 2\/3*h + 0 + 1\/3*h**5 + 1\/3*h**4.\nAnswer: h*(h - 1)**2*(h + 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 5*n**2 - 2*n - 2 + 6*n**2 - n. Let m be q(-1). Solve -5 = -5*b - m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 0.12 (c) 2 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -27. Let x be (-4)\/(-20)*(-10)\/n. Let g = -32 - -47. Solve 0 = x*d + 3*d - g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-70)\/25)\/(-2))\/(-18*9\/135)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201342258?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230068?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.78 + 12.0462?\nAnswer: -53.7338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10153, 10156, 10159, 10162?\nAnswer: 10165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13 + 3)*(-1)\/2. Suppose -k = 2*a + k - 72, 2*k = u*a - 208. What is the greatest common factor of 5 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 11:27 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/141*2\/(-7)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4 + -1 - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0\/j*(j*j*j\/(j\/j**1)*j*j)\/j)\/((j\/(j\/j**6*j))\/j**2))\/((j**(2\/7))**(2\/33)*(j\/j**5)\/(j**2\/j)) assuming j is positive.\nAnswer: j**(1151\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 times -8?\nAnswer: -6128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - r = 34*r - 47656. What is the least common multiple of r and 7?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - q = 5400002, 3*o + o + 21599998 = q. What is o rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16693 > -16693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(65)*-3)\/sqrt(5))**2*-6 + -4.\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1*(144 - 3) - 7. Which is smaller: a or -144?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/(-54) + (-42)\/(-4). Let a be (-5)\/(j\/(-5) - -1). Solve k = r + a, 3*k + 5 = -5*r - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - l - l**2 - l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 10*n + 18. Let b be x(-10). Suppose -6*j - b = -30. Calculate the highest common divisor of j and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -691, 0.2, 2\/3, -26, -1\/6, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n - 31057 + n + 31054 - 3*n.\nAnswer: 9*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -0.015, -0.2, -48, -0.36322?\nAnswer: -0.36322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 + -5 + -3 + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 4169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -281*t - 36. Let v(q) = 843*q + 115. Let l = 415 + -432. Let p(f) = l*i(f) - 6*v(f). What is the derivative of p(x) wrt x?\nAnswer: -281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*z - 27, -2643*f + 5*z + 50 = -2648*f. Suppose 20 = -6*m + m. Let j(o) = 2*o + 1. Let u be j(-1). Put u, m, f in descending order.\nAnswer: u, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 693 - 573. Let l be 72\/c - 44\/40. What is the second biggest value in 2\/5, 10\/3, l, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -308*w + 174. Let y(j) = -607*j + 348. Let h(b) = -5*m(b) + 3*y(b). Differentiate h(t) with respect to t.\nAnswer: -281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + -2023000?\nAnswer: -2022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0078572284 to six dps.\nAnswer: -0.007857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/44 and -47\/8188.\nAnswer: 90068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -407 - 52. Let q be (2\/(-3))\/((-34)\/c). Let a(p) = -p**3 - 10*p**2 - 10*p - 12. What is a(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 12 - 72. Suppose -z + d = 3*z. Solve 0 = -3*x + z*j + 6, 2*j + 12 = -2*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 78*a**2 - 864*a + 1944.\nAnswer: -2*(a - 18)**2*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12252 and -92.\nAnswer: -1127184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 21186*o**2. Let h(x) = 3*x**2. Calculate h(n(i)).\nAnswer: 1346539788*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 871?\nAnswer: 2613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 421337281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7621602 and 897?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -224*x**3 + 503*x**2 - 339136*x.\nAnswer: -1344*x + 1006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 30. Suppose t*n - 2*c - 4 = 0, -4*n = n - c - 2. Let m(s) = -s**2 - 6*s. Let i be m(-6). Is i bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.6. Sort k, -0.3, -1, 3\/2 in descending order.\nAnswer: 3\/2, k, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -168379*b*i + 6*b + 39479 wrt i.\nAnswer: -168379*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/2)\/((-12)\/1584). Let r = -129 - i. Let v(f) = -9 - r*f + 18 - 2*f + 7*f. Give v(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8990257?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 709.833 millilitres to litres.\nAnswer: 0.709833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7)\/a)\/((a*a**(2\/15))\/a)*a**(6\/11)\/(a*a**5))**(-11\/2) assuming a is positive.\nAnswer: a**(1121\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:52 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 223421 bigger than 223417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/6)\/((-3)\/6). Sort o, 3, -7.\nAnswer: -7, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*g - 3. Let u(n) = -n**2 + 9*n + 3. Let k be u(g). Find the third derivative of -y**2 - 8*y**3 - k*y**2 - y**3 wrt y.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*u + 13, -5 = -5*l - u + 3*u. Solve 2 = -l*p + p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5704130?\nAnswer: 2, 5, 570413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.3588 - -15.3578. Round a to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 56*p - 18 + 21)*(54*p**3 + 22*p**3 + 9*p**3) to the form x*p**2 + j*p + l*p**4 + t + o*p**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1349 and 6517?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 11*h + 12. Let r be b(-10). Suppose -d + 69 - r = -y, -4 = -4*y. What is the smallest common multiple of d and 22?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3129813.\nAnswer: 3, 19, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5362.33 millennia?\nAnswer: 5362330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4732795364 to the power of 1\/3, to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -1. Which is the third biggest value? (a) x (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204451?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.047399962 to 5 decimal places.\nAnswer: 0.0474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 5\/3, 384, 12, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-165))\/((-127)\/(12065\/228))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28618874 is divided by 11084.\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-151*t - 5143 + 5143)*(-4 - 2*t**2 + 4) as i + z*t + v*t**2 + x*t**3 and give x.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 + 2*u + 46 - u**3 + 35715*u**2 + 97 - 35718*u**2 in the form k*u + s*u**2 + p + g*u**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 9*t + 3. Let i be l(8). What is the units digit of 9\/i*(-160)\/48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256, -285, -314, -343, -372, -401?\nAnswer: -430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2855*v**3 + 791*v**3 + 633*v**3 - 1583*v**3 - 1340*v**3.\nAnswer: -4354*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 41 = 45. Let j be (0*c\/10)\/(-1). Solve 4*q = -2*a - 0*a + 18, 2*a - 2 = j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.70434312009 from -52.\nAnswer: -52.70434312009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 - 2935596*k - 718143656268 = 0. What is k?\nAnswer: -489266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1814*g - 1807. Determine a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -77. Let i(o) = -5*o - 7. Let d be i(-11). Let p = d - h. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/13)\/g*g)\/g**(-5\/7)*(g**2)**50)**23)**(-38) assuming g is positive.\nAnswer: g**(-7997974\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n + 0*n + 3*n)*(-4 + 2 + 4) + 2*n + 3 - 3)*(-n + n + 4*n**2).\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2\/7 - 15818*b\/7 - 848340\/7 = 0.\nAnswer: -7855, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -406919.\nAnswer: 81383.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4254458 to the nearest integer?\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*d*p**2 - 2*d*p + 23*d - 26*p**2 - p + 2 wrt d.\nAnswer: -6*p**2 - 2*p + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17732 - -17731. Sort -4, -2\/7, -4\/13, p, -9 in descending order.\nAnswer: -2\/7, -4\/13, p, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzb when three letters picked without replacement from ffbzzffzfzzzz?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 8. Let u be t(-10). Let p = -8 + 8.1. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 24*p - 19*p - 25 = -45*p, 3*x - 4*x + 36 = -4*x - 3*p for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 y when three letters picked without replacement from {j: 1, r: 1, a: 1, z: 2, o: 2, y: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 13) to base 10.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 2*t - 2*t + 10, -4*t - 20 = 0. Let k be 64 + (0 + 1 - -1). Calculate the highest common divisor of k and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8107 - -3909. Let m = q - -13195. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 15. Let d be 4*(14\/8)\/w. Let v be d*-1*(-4)\/2. Solve -v*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5, 1\/6, -3, -146, 2\/83 in decreasing order.\nAnswer: 5, 1\/6, 2\/83, -0.1, -3, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j + 42. Let s be u(-13). Solve -14*v + s = 20*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, v: 6, s: 2}. Give prob of picking 1 v and 1 q.\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 7048.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 - 19*l - 3. Suppose 4*z - q = 32, -823*z = -825*z - 5*q + 38. Determine x(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:51 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.072964 (b) 1\/7 (c) -5 (d) 0.061\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x + 24. Let j(q) = -q - 3. Let z(v) = -5*v - 12. Let s(d) = 9*j(d) - 2*z(d). Let p be s(x). Solve -6*h + h + 9 = i, 2*i - p = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -129297.1 to the nearest 100.\nAnswer: -129300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77088835*m**4 + 2*m**3 - 205287*m - 24.\nAnswer: 925066020*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5239 - 31595 = 853*t + 12033 - 4269 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -101 + -64627?\nAnswer: -64728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 1853 = -10*v + 5*q, 16907 = 9*v - q. Calculate the remainder when v is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 0*q**2 - 6*q**2 + 1 to the form p*q**2 + y + o*q and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(3\/(-537200)) - 0\/(-559). Round f to the nearest ten thousand.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 151 or 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13*z**2 + 2*z + 1. Let v be b(-1). Let s = -1 - -2. Let l = s - v. Calculate the greatest common factor of l and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 851 = -18*n + 3*l + 560, 2*n + 36 = 4*l for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4780*y = 4754*y + 100 - 724 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*l = -8, -10 = -4*g + 4*l + 6. Let d = -519.99 + 520. Sort d, -3, g, -0.4 in decreasing order.\nAnswer: g, d, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*r - 100 - 180 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 43724*p - 1703748. Determine s(-39).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p. Let u(s) be the first derivative of 64*s**3\/3 + 110. Determine x(u(h)).\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/((-405)\/40))\/((5\/6)\/(-5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2 + 2 + 5 - 8*q. Let o be (2 - 10) + (-315)\/(-21 + 0). Calculate y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -195 + 195.12. Let z = 85 + -80.88. Let y = z - a. Put y, -0.4, 5\/2 in decreasing order.\nAnswer: y, 5\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 35*z**3 - 49*z**2 + 48*z + 9. Let d(k) = 12*k**3 - 17*k**2 + 17*k + 3. What is -11*d(o) + 4*q(o)?\nAnswer: 8*o**3 - 9*o**2 + 5*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -42. Suppose a + a = -2*c + 242, 595 = g*a + 3*c. Suppose 0 = -0*i + 3*i + 4*h - a, -2 = -h. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -16*y**4 - 6*y**3 + 9*y - 48. Let x(z) = -17*z**4 - 7*z**3 + 10*z - 47. Let u(d) = -7*b(d) + 6*x(d). Find the first derivative of u(o) wrt o.\nAnswer: 40*o**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3939.0972 to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by (0 + -21)*-30*12*13\/1092?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.6? (a) -1\/20 (b) 18982 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 3*z = 0, 4*z - 15 = 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + (sqrt(143) + -1*sqrt(143) + sqrt(143))\/sqrt(11))*6.\nAnswer: 6*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5521151, -11042303, -16563455, -22084607, -27605759, -33126911?\nAnswer: -38648063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d - d + 3*d - 2*d - 8*d + 0*d + 2 + 2*d - 2 - 4*d + d + 2*d + (0 - 2 + 1)*(2*d + 0 + 0) - 4*d + 3*d + 3*d.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 48. Suppose 3*n = 4*t + 222, -4*n + 3*t = -j - 254. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 - 49. Let r = -20 + y. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-24) + (-435)\/2286. Let g = -239\/635 + f. Which is the nearest to g? (a) 2\/47 (b) -0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -899.46 times -3?\nAnswer: 2698.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 + -e?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*w + 75*j - 72*j + 10 = -73*w + 1, 0*j - 19 = 2*w + 3*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/5))**28)**3\/((r**(1\/7)\/(r*r*r**(3\/2)))\/(r*r**0*r)**(1\/15)) assuming r is positive.\nAnswer: r**(-6323\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s + 4*q + 4, s - 4*q = -2. Solve s*l**4 - 2 - 2*l**5 - l**5 - 4*l**5 + 10*l**4 - 4*l**3 - 14*l**2 + 11*l = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701680 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j + 83*j - 2*j - 435. Solve 3*b = -2*k - 76 + 81, 0 = -4*b + j*k + 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*(-3)\/684)\/(50\/1880). Let h = -7499\/1140 + p. Find the common denominator of h and -5\/104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -57*u**2 + 6 - 6. Let z(g) = -12 - 9 + 34 + g**2 - 13. Give z(j(t)).\nAnswer: 3249*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:31 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**2 + 24*i - 9. Let n be q(-7). Suppose -4*z = 3*w - 264, 19*w = -z + 14*w + 66. What is the highest common factor of n and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 417 and 255790302?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315048 is divided by 10162?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61*-207481.\nAnswer: -12656341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.08 + 0.29. Let q = -0.37 + k. Let c = 0.9 - 3.5. Sort q, c, 1.\nAnswer: c, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**28\/p)*p*p**(-8)*p*p*p)\/(p\/((p\/((p\/(p*p*p*(p*p**(8\/7))\/p))\/p))\/p*p*p))**(-2\/59) assuming p is positive.\nAnswer: p**(-12462\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 445481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 6*l**2 + 5. Let z be k(-6). Suppose z*f - 4*w = 70, 3 = f - w - 11. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 12975*w + 3 - 13361*w to the form i + n*w and give n.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2410.76 - 2536. Round o to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 20*f + 5 - 1 - 6. Let v(t) be the second derivative of t**3\/6 - 737*t + 4. Determine y(v(w)).\nAnswer: 20*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:37 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 9 = 5*s - 28, -5*s - 58 = -3*v. Let j(g) = -g**2 + 7*g - 5. Let i be j(6). Let c be 267*i\/3 - 1. What is the greatest common factor of v and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 269*f**2 + 3491*f - 29. Give h(-13).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x**3 - 136*x**2\/3 + 212*x\/3 - 40\/3 = 0. What is x?\nAnswer: -5, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 4*g - 5*g)*(-g**2 + 2 - 2)*(0 - 4 + 2 - 1 + 0 + 3 - 1 + 2 - 3 + (1 + 1 + 0)*(3 - 1 - 3) + (-33 - 11 + 12)*(-2 + 4 + 3) + 0 - 2 + 1).\nAnswer: 330*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5244242*d*k*o**2 - 2*d*o**3 - 2*k*o**3 + k*o + k - 2*o**3 + 11*o with respect to d.\nAnswer: 5244242*k*o**2 - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203451 (base 9) to base 7.\nAnswer: -1011523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 14 = -4*m + 7, -2 = -2*q. Let z = -136 - -136.02. Which is the biggest value? (a) 5 (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 18*a**2 + 41*a - 12. What is q(-20)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, 185, -2\/13, -69.\nAnswer: -69, -0.23, -2\/13, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 + 8*w**2 + 0*w**3 + 0*w**3 + 3*w**3 to the form x + k*w**2 + y*w + o*w**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = i - 2*l + 64, 0 = -2*i - 4*l + 32. Suppose 14*u + i = 16*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 132\/217 in 1\/8, 1\/7, -174?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/5)\/p**(2\/9))**(7\/6))**(3\/8) assuming p is positive.\nAnswer: p**(-49\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7*x = 2*x - 30, -5*b + 50 = -x. Let w = 42 + -19. Let c = w - b. Calculate the highest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5677583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*c - 16 = 27*c - 4*t, 4*c + 5*t = 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1234*y + 8. Calculate r(-3).\nAnswer: 3710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*g - 5*g. Solve 0 = -g*r + r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -139, -318, -569?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: What is the ten thousands digit of 3535252785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10776432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 980 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*d**4*g*q + 11383*d**2*g*q - 2*d*g - 4958*d - g*q wrt d.\nAnswer: -96*d**2*g*q + 22766*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/((u**(2\/25)*u)\/u)))\/u**(-20\/9))**(5\/17) assuming u is positive.\nAnswer: u**(293\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j**2 + 3*j - 1. What is d(2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -460965098731.\nAnswer: -460965098731.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -96667.\nAnswer: 38666.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2. Let z(p) = -273*p - 33. Let w(v) = -17*v - 2. Suppose -46 = -2*d + 20. Let t(h) = d*w(h) - 2*z(h). Give y(t(u)).\nAnswer: 450*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -2*h + 3*s, -3*h - 139*s = -18*s + 8551 - 7235 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63308159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 19*z - 12. Give t(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 - 70*c\/9 - 1012\/9.\nAnswer: 2*(c - 46)*(c + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 6) in base 12?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/5 - (-1008)\/30. Let u = -20 - -20. Is d less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1403 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 79, 177, 313, 487, 699?\n\"Answer: 19*f**2 + 3*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9912\/20 + 8\/20. Let a = i - 326. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Suppose 4*b = t*h, 5*b + 0*h = -4*h. What is the second derivative of 3*p**4 + 7*p - p + b*p wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 218.637 - 219. Let f = 0.037 - w. Which is the biggest value? (a) f (b) 5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/60 - 7*t**4\/24 - 2*t**3\/3 - 3*t**2. Let h be r(8). Suppose -v - 33 = -h*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -394 - -393.763. Let p = h - 0.263. What is the second smallest value in -3\/4, 2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 623137936?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2227992, 8911932, 20051830, 35647686?\nAnswer: 55699500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - 50 - -72 - (37 + -2)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15645 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -395158*u**2 - 9121237 wrt u.\nAnswer: -790316*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*i + 25 = 659*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 1129054\nAnswer: -2\/564527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 990, 2339, -2, -1.\nAnswer: -2, -1, 990, 2339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 422158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20*(3\/6 + 0). Suppose -p - 3*p - 2*x = s, 4*p - 5*x - 25 = 0. Suppose 15*z + 18 = 48. Solve -m + z*k + 7 = p, m + k - 7 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3468 and -74\/9.\nAnswer: 10404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 25169 (base 11) to base 2\nAnswer: 1000110100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j - 15. Suppose o - r = -o + 14, -o + 25 = -5*r. Let i(m) = 2*m + 8. Let w(c) = o*i(c) + 3*s(c). Suppose 0 = 4*g - 0*g - 16. What is w(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4006744 <= 4006743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.5 - 6. Let y = o + 1.5000076. Round y to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11562 + 3b1?\nAnswer: 11953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 2*h**2 + h - 4. Let r be v(-3). Suppose -3*k + 5*j + 15 = 0, -k + r*j + 6 = 3*k. Is -3\/10 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 15) to base 6.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 6*q**2 - 6*q - 10. Determine o(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 844937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + (-2)\/(-1))*(15 + -34). Solve -2*d = -5*g - 41, 7*d - n = 3*d + g for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/7 - 4\/14. Suppose -4*o - x = 0, -2*o = -s - 6*o + 2. Let t = -612 + 614. Which is the biggest value? (a) t (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**2 + p**2 + 0*p**2)*(-2*p**2 - 7 + 13 + p**2) as n*p**2 + o*p**3 + y*p + s*p**4 + w and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3552889?\nAnswer: 971, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4642888670?\nAnswer: 2, 5, 7, 9475283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 9*w**3 + 844*w - 2 + 27*w**3 + 380*w.\nAnswer: 18*w**3 - 2*w**2 + 1224*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (16 + -4)) + 2 - (-4 + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k - 4*o = -34, 2*k - 3*o = 6. Let g = -10 + k. Put g, -8, -5 in descending order.\nAnswer: g, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.437454 + -0.4473. What is f rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 456*y**3 - 144*y**2 + 288*y - 408. Let d(k) = k**3 - k**2 + 2*k - 2. Let t(x) = 144*d(x) - h(x). What is the first derivative of t(a) wrt a?\nAnswer: -936*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -882 + 3529\/4. Factor 1\/4 + 1\/2*o + d*o**2.\nAnswer: (o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/4222, -4, 0 in descending order.\nAnswer: 7\/4222, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 114\/27*7617\/6. Let x = s + -5370. Let z = -10 - x. Which is the second smallest value? (a) -5 (b) 1\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 3. Let u be j(2). Suppose -15 + 30 = u*w. Suppose 3*n + p = 128, w*p - 158 - 11 = -4*n. What are the prime factors of n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -12. What is the third smallest value in m, 4, 1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmbmxmmmmmum. Give prob of sequence ubmm.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 13*z = 21 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11818*u**5 - 257*u**3 + 6907101*u wrt u?\nAnswer: 236360*u**3 - 1542*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1955?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 6.99936. What is s rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1935, -0.3, -2, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8b8a (base 14) to base 2\nAnswer: 101111010100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 2*w, -h + 5*w + 8 = 2. Let y(o) = o**2 + 3*o - 2. Let n be y(-4). Let u = h + n. Solve 2*z = -u*r - 0*z + 15, -5*r + 4*z + 25 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5\/1847 (b) 4 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, 5\/4, 4.\nAnswer: -114, 5\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4064 + 4059. Let h(p) = 4*p**2 + 4*p + 4. Let u(i) = -4*i**2 - 4*i - 5. Give c*h(y) - 4*u(y).\nAnswer: -4*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/23)*n*n*n)\/n*n)\/n**(1\/11))\/(n\/n**6*n**(-2\/17)) assuming n is positive.\nAnswer: n**(34897\/4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246*8.2.\nAnswer: -2017.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/11)\/(v**(2\/23)*v))\/(v**(-2))**(-17\/6))\/(v\/(v*v**(-4)*v*v*v*v)*v*v*v**(-2\/11))**(-8\/17) assuming v is positive.\nAnswer: v**(-73756\/12903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/6 + 25*j**3\/6 - 823*j**2\/6 + 3707*j\/6 + 1815.\nAnswer: (j - 11)**2*(j + 2)*(j + 45)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23365 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -32*s**2 - 31*s + 30. What is w(1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 57*y**2 - 20*y + 67. Let k be a(3). Calculate the greatest common divisor of k and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 16. Suppose -3*w + 21 = 3*s - 0*s, -5*s = m*w - 14. Let f(n) be the first derivative of -n**2\/2 + 10*n + 7. Give f(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-8) - 654\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/8 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70134162?\nAnswer: 2, 3, 7, 1669861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**2 + 576115300*l - 41488604861761250 = 0.\nAnswer: 144028825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -510830592 divided by -170276864\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3554 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-10) + (-4)\/10. Let f(q) = -5*q**3 - 2 - i - q + 5. Calculate f(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/220*16)\/((-3)\/15*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056647 is divided by 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4095*d - 1150677. Give q(-281).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + h**2 + 22*h + 91. Let c be r(0). Calculate the highest common divisor of c and 494.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*i*w**3 - 23*d**3*w - 224*d**2*w**2 + 6*d*i - 74450*i*w**3 wrt w.\nAnswer: -6*d**3*i - 446700*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -10*j + 6. Let s(f) = -2*f - 1. Let c(t) = 2*t + 1. Determine j*c(k) + 2*s(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -212000000120 (base 3) in base 5?\nAnswer: -103441344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 5:44 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 63*o + 9. Let u be v(0). Let b(t) = -t**2 + 3*t + 50. Calculate b(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 34.08768 milliseconds?\nAnswer: 0.03408768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 0*o**5 + 0*o**3 + 0 + 1\/24*o**6 + 1\/2*o**4 - 3*o**2 + 0*o. Find the second derivative of p(f) wrt f.\nAnswer: 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-48)\/(-4)*1 - -1*2. Let b be 61 + (-2)\/(-7) + (-18)\/f. Calculate the remainder when 3\/1 - b\/(-6) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*(sqrt(78) - sqrt(78)*1))\/(((2*sqrt(108))\/sqrt(3))\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -29429.\nAnswer: 3\/29429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -891, -3557, -7999, -14217, -22211?\n\"Answer: -888*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5282 + 6384. Calculate the greatest common divisor of 290 and n.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)\/s*s**(-3\/2)*((s\/s**(-1\/3))\/s)\/(s\/(s**(1\/2)*s)))\/((s**5\/(s*s**(4\/3)*s))\/((s\/((s\/s**1)\/s))\/s)**18) assuming s is positive.\nAnswer: s**(167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + t**2 + t + 1. Let j(h) = 6*h**3 + 2*h**2 + 2*h + 9. Let s(i) = -j(i) + 5*m(i). Does 5 divide s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3*q - 2359, 5*u + 147*q - 149*q = 2356. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - -4. What is the remainder when t is divided by 1390\/55 - (-9)\/(-33)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(1\/5)\/d))\/d**(1\/3))**(-2\/95))**(-20) assuming d is positive.\nAnswer: d**(176\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 6\/5*f**2 + 9\/5*f - 3\/5*f**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4817473 and 52429.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 674*p**2*s**3 - 16385*p**2*s**2 + p**2 + 34*p*s**4 - p*s**2 + 2*p wrt s?\nAnswer: 4044*p**2 + 816*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/2 + 147*h**2 + 3777*h\/2 + 1743.\nAnswer: 3*(h + 1)*(h + 14)*(h + 83)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45, -210, -473, -828, -1269, -1790?\n\"Answer: h**3 - 55*h**2 - 7*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*l - 30*l + 288. Calculate the lowest common multiple of l and 414.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-30)*(-14)\/(-63)*-57\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*f = -5603*x + 5598*x + 525, -3*f = 14*x - 85 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(8))\/sqrt(3) - sqrt(135)*2)\/(((-2*sqrt(150))\/sqrt(6))\/(sqrt(605) + -2*sqrt(605))).\nAnswer: -55*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*a + 11, 4*a - 13 = q - 0*a. Let y(h) = -219*h**2 + 4*h - 5. Let k be y(q). What is k rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tftf when four letters picked without replacement from ffttffftttft?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**4 - 2*c**3 - 79092*c**2 - 186103589 wrt c?\nAnswer: -8*c**3 - 6*c**2 - 158184*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26556 = 2*i + 4*f, 146*i + 5*f = 148*i - 26538. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(130)\/(1*sqrt(160) + sqrt(10)))**2 - 2*((sqrt(13) + 1)**2 + -1)).\nAnswer: -662\/25 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 1137963?\nAnswer: 1137959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 4*n + 16, 5*p = 10*n - 8*n + 34 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -159163, -5, 3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:22 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335810000 to the power of 1\/3, to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 89 * 551149\nAnswer: 49052261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m. Let b(k) = -2*k + 7. Let l be b(4). Let a be l\/3*3*(-2 + -2). What is n(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/103 + 313\/206. Let f be 88\/48*3\/(-5) - -1. Sort b, f, -0.3 in ascending order.\nAnswer: -0.3, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**14\/(z\/z**3*z\/(z\/z**2))*((z*z*z\/z**(-1))\/z*z\/(z**(-4)*z))\/(z**(-1\/3)*z\/(z**(8\/7)\/z)) assuming z is positive.\nAnswer: z**(136\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 + 5*x\/2 + 17.\nAnswer: -(x + 2)*(6*x - 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Suppose x + 35 = o*s - 1, 0 = -x. Let m = s + -13. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 1325?\nAnswer: -1335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*y + 38 - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146557 is divided by 5858.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 1, a: 1, i: 2}. Give prob of picking 1 s and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**3 - 6*c**2 + 10*c. Let q(i) = -2*i**3 - 2*i**2 + 3*i. Determine 7*q(o) - 2*w(o).\nAnswer: -2*o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2625969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46582652 by 34.\nAnswer: -1370078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 6091387641.\nAnswer: 6091387641.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13b361837 + -5?\nAnswer: -13b361840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2146640 (base 7) to base 13\nAnswer: 93287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/7 (b) 3\/2 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + f**2 + 217 + 156 - 440.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48\/683 - -2492\/3415. Suppose -r*g**2 - 8 - 161\/5*g = 0. What is g?\nAnswer: -40, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2485114 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520 and 1930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190800?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -12*j**2 + 5*j. What is n(-2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/6 of a hour?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + k**2 + 4 - 4)*(38*k**2 + k**2 + 28*k**2).\nAnswer: 67*k**4 - 67*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*l + 574598 = 5978348 - 184659. What are the prime factors of l?\nAnswer: 19, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyfyyyvee. Give prob of sequence eyfv.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 100 = 78. Sort -26, -4, -5, q in decreasing order.\nAnswer: q, -4, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2388796 is divided by 3268?\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3638 + -2175. What are the prime factors of n?\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/27 (b) 6\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f**(-2\/5))))**(2\/7)\/((f**(-7)*f)\/(f*f\/(f\/(f\/(f*f*f\/f**(-4\/9)*f))))))**32 assuming f is positive.\nAnswer: f**(37568\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 22961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmcorrrrcmrr. What is prob of sequence ocrm?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12142944037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4402 a factor of 232979722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.421730867 to two decimal places.\nAnswer: 3.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*s**4 + 16*s**3 + 46336*s**2 wrt s.\nAnswer: 456*s + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l**3 + 3*l**2 - 1 - 3*l - 3*l**2 + 2*l**3 in the form p*l + a*l**3 + t + c*l**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1500)*4*-2)\/(sqrt(588) - (sqrt(588) + (sqrt(588) - (sqrt(588) + 4*(-2*sqrt(588) + sqrt(588)) + sqrt(588))))))**2.\nAnswer: 8000\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78997367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-605)\/55 - (-298 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0) + (3 - 1). Let o = -238\/9 + 241\/9. Put 3, 0.2, c, o in descending order.\nAnswer: c, 3, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48891902 a multiple of 3156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 4. Let q be p(-4). Let u = -5572 + 5574. Suppose q = 5*s + u*s - 14. What is the lowest common multiple of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -73*k**2 + 0*k - k + 0*k + 77*k**2. Let c(w) = w. Determine n(c(t)).\nAnswer: 4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1219 - 23*l + 6*l**3 - 28*l - 38*l**3 + 82*l - 30*l.\nAnswer: -32*l**3 + l + 1219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, s: 3, g: 4, k: 3}. What is prob of picking 1 s, 1 k, and 2 g?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233370027*i*p*r**2 + 46*i*p*r - 38*i*p - 16*i*r - i - 21*p + 2*r wrt r.\nAnswer: -466740054*i*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42395947*q**2 - 42395947*q**2 + 9*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q**2 - 441*q + 468*q - 26*q**2 - 19*q**2.\nAnswer: -2*q**2 + 27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181678?\nAnswer: 2, 7, 19, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 337*g - 5. Let r be m(3). Suppose 0 = q + 87 - r. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most -87760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -218580447*f - 3887475 with respect to f.\nAnswer: -218580447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10025 + -1480. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.3. Suppose 4*f + t + 0 + 6 = 0, -5*t - 10 = 0. What is the closest to 1\/4 in -2, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 (base 10) to base 5\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 188*v**5 + 44*v**2 wrt v.\nAnswer: 11280*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 151*s**2. Let p(f) = -2189*f. Calculate p(l(x)).\nAnswer: -330539*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-5)\/x))**28)**(2\/11) assuming x is positive.\nAnswer: x**(392\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 56. Solve -4*l + 12 = 3*u, 0 = -l - 5*u + b - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 676, 1, 0.2?\nAnswer: 676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbbbybsbcbqqqbqb. Give prob of picking 1 y and 1 b.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and 1.1.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 13325022?\nAnswer: 53300088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 less than -6414483?\nAnswer: -6414489.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 997, 1029, 1061, 1093, 1125?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -22?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 - 4*u**2 - u + 3. Calculate the remainder when (396 + -400)\/(1\/(-50)) is divided by y(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8492 divided by -11?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89700 and 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*g = -14*g + 568 - 1547 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111 + -109. Suppose 29 = p - 3*t, 2*p = -2*p - j*t + 102. What is the highest common divisor of p and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 17. Let d be w(-14). Let z = -11 - d. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121401 and 8743.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.9 - 20.4. Let u = 404\/7 - 58. Which is the third biggest value? (a) q (b) u (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -1\/3*s**3 + 53\/2*s**2 + 11\/10*s**5 + 0 + 0*s**4 - 172*s. What is the first derivative of u(y) wrt y?\nAnswer: 66*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.54 + -210.24. Let y = s + 208. Which is bigger: -50 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154658 or -1937?\nAnswer: -1937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*l - 2 + 0 = 0, 5*l = -25. Let u be (564\/v)\/((-2)\/(-3)). Let a = u + -66. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 + 7.85. Let l = 37.85 - 40. Let r = -0.15 - l. Is r less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300674272.\nAnswer: 2, 9396071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1995 - 2023 - (-1 + -92).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -108458296 take away -60739.2?\nAnswer: -108397556.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 7*b - 3. Suppose 11*t - 36 = -3. Suppose -1 + t = s. Let m be ((-196)\/(-8))\/7*s. Give j(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -94*q + 609*q - 496*q. Let j(h) = -505*h**2. What is g(j(w))?\nAnswer: -9595*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5755, -7653, -9551, -11449, -13347?\n\"Answer: -1898*s - 3857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -38*v**2 - 228*v + 8. Let b be i(-6). Calculate the highest common factor of 130 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(32) + sqrt(8) - (sqrt(18) + 0)))**2.\nAnswer: -24*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/6))**(-29))**(2\/83) assuming d is positive.\nAnswer: d**(-29\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 748 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 7. Suppose z - r*x - 47 = -4, 4*z - x = 179. Round z to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = 5*o - 66, -r + o + 100 = 89 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3199*c**4 - 104*c**2 - 301*c.\nAnswer: 76776*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 571 + -22?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2681945.\nAnswer: 5, 7, 19, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25.045763 and 0.1.\nAnswer: -2.5045763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 13*i**2 + 32*i + 48. Give g(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 13\/16?\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 931923?\nAnswer: 2795769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 5\/2. Sort 4, 1\/3, l.\nAnswer: l, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.264 + -0.076.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170560 divided by 8.\nAnswer: -21320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98745*x - 98762*x + 221 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 69 - 69 - 2*a + 5*a. Determine o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-260))\/(3\/(-36))*(-2305)\/(-1383).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-4) + (-189)\/(-84). Let g be (-2954)\/(-21) - -3 - (-1)\/k. Let j be 1\/(-3)*26875*g. What is j rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4801 + 7969. Does 99 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*p = -6. Let o be 214 + p - (-10 + 3). What is the greatest common factor of 172 and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -326973\/20 + 16354. Find the common denominator of j and 27\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2135433 and -0.14.\nAnswer: -298960.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -72 + 24 - -34) + (-1 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5679)\/(-51111)*-2*(-12)\/(-16)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 25*u = -200. What is the smallest common multiple of -5*4\/u*28 and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 = -f - 3*a, 5*f - 3*a = 13. Let r = 3 + f. Sort r, -1, -5 in descending order.\nAnswer: r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53521 (base 6) to base 2\nAnswer: -1110010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -15*d**2\/2 + 3*d + 9. List the prime factors of p(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -4*l - 802 + 738, -13*l = 2*q + 239 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53656*q + 114014 wrt q.\nAnswer: 53656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1725*r + 282518. Give s(164).\nAnswer: -382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Suppose -201 = -b - a*b. Let y = b - 70. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3408, -3400, -3378, -3336, -3268?\nAnswer: -3168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/70 + m**4\/42 - 7*m. What is q in r(q) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:47 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, -52, 4, -1 in increasing order.\nAnswer: -52, -1, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 2*l. Let f be q(-5). Suppose 4*t - 4*g = g + 20, g - f = -3*t. Let a(c) = 2*c - 6. Give a(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3 - 1 + 2 + 1 + (2 - 1 - 3)*(-2 - 2 + 5))*(2*t + 0*t + t)*(4*t - 2*t + t)*(-2 - 5 + 5).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130300 (base 4) in base 11?\nAnswer: 75a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1114 - -341?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 25986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from gwqwvwgmmgmwwdwm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7014?\nAnswer: 2, 3, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/12 + (-25730)\/(-3255))\/((-6)\/(-56)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-8)\/(-48)*(-44)\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 + 63. Let d be ((-52)\/b - -3)*15. Put 1, -1\/5, 2\/7, d in ascending order.\nAnswer: -1\/5, 2\/7, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 (base 9) in base 6?\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2185 - 108. What are the prime factors of q?\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*r + 3*r - 10, -3*d = -4*r - 17. Suppose -d*f + 400 = 5*f. Calculate the remainder when f is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -286 + 290. Suppose -f*u = -1023 - 277. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-9))\/(2\/(-3)). Suppose 2*t + t - 1168384 = -2*x, -x - h = 0. Let q = t + -5489464. What is q rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllleleelele. What is prob of picking 2 e?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31325 + -2?\nAnswer: 31323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - (-8)\/10)\/(78\/585). Suppose z*a = -24 + 84. Solve -4*x = x + a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 173*m**2 - 256*m - 11342. What is d(175)?\nAnswer: 5108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 7*c - 5. Determine r(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 26 = -14*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -43*b**6\/6 + b**3 - 296*b**2 - 1491. What is the second derivative of n(z) wrt z?\nAnswer: -860*z**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135*v**4 - 160*v**5 - 3*v**3 - 3 + 91*v**4 - 2 + 162*v**5 - 716*v**2 wrt v?\nAnswer: 120*v**2 + 5424*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181960 divided by -4.\nAnswer: 45490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/25 and -47\/221525.\nAnswer: 221525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-2)*i**(-5\/3)*i**(2\/7)*i assuming i is positive.\nAnswer: i**(34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -13*w + 1. What are the prime factors of j(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {t: 2, o: 4, v: 1, f: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11713 and 22737.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -20.3411334*4\nAnswer: -81.3645336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 224, -1378, 1\/50 in decreasing order.\nAnswer: 224, 1\/50, -1378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 63?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x - 132 = -6*x. Let q(d) = -3*d**2 - 18*d + 2. Let g(n) = 2*n**2 + 12*n - 1. Let h(y) = 7*g(y) + 5*q(y). Determine h(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/922516 and -151\/1692.\nAnswer: 8302644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2. Suppose 5*h + 49 = 3*q, 5*q + 3*h - 20 = 5. Let d(b) = -b**2 - 8*b + q*b. Determine 9*d(i) + 4*v(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0130139 to five decimal places.\nAnswer: -0.01301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*((-16)\/12)\/(5\/45). List the prime factors of 10\/60 - 2098\/m.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -165*t + 160*t - 45 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*g**5 + 236*g**4 - 1752*g**3\/7 - 1424*g**2\/7 - 32*g = 0. Calculate g.\nAnswer: -2\/7, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5 (b) -0.5 (c) -4.1015\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/1)\/(1\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21123131 (base 4) in base 2?\nAnswer: 1001011011011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6737*u + 71. Let m(a) = -3*a + 14. Give h(z) - 5*m(z).\nAnswer: 6752*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 11*s - 4. Let b be q(3). Suppose b*t - 10*t + 416 = 0. Let z = t + -7. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -259 + 242 + (10 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -8*u + 10. Let j(c) = -6*c + 3*c + 2*c + 0*c + 1. Suppose -4*z - 15 = z. Let i = z + 4. Determine i*a(q) - 10*j(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 370 - 132. Let v = 237.999355 - q. Round v to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 0.041 (c) -0.104 (d) -1 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-7 + (6 - (-4 - -7)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417.\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 197, 296, 395?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**4 + 26*u**3 - 55*u**2 + 3*u - 1. Let x(d) = 2*d**4 - d. Let r(z) = -q(z) - 3*x(z). Find the third derivative of r(k) wrt k.\nAnswer: -72*k - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*l + 850309, -450979 - 399365 = -3*c + 3*l. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1230079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -16. Suppose -15 = -5*y - 3*z - 4, -7 = 3*y - 5*z. Let a(j) = y - 2 + 3393*j**2 - 3394*j**2 + m*j. Give a(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -y + 18*y**2 + 25*y**3 + 58 - 184 - 26*y**3 wrt y?\nAnswer: -6*y + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34724742.210452 + 34724847. Let a = h - 157.78952. Let f = -53 - a. Round f to 6 decimal places.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0 (b) 437422 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -16*m**2 + 336*m - 9. What is z(21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1861909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*n**5*x - 13212*n**4*x**2 + 6*n**2*x**2 + 10*x**2 + 50801 wrt n.\nAnswer: 780*n**2*x - 317088*n*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g + 3*g**2 + g**3 - 4 + 2*g + 0 + 0*g**3. Let p = 7 + -11. What is z(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13568 > -13569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 452836 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 161 + -157. Suppose -123 = -2*y + d - n*d, 4*y = 2*d + 222. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/12*(2 + 3\/3). What is the tens digit of 1 + m + 35 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 10*m + 12. Let u(d) = -d - 2. Let g be u(-11). What is the tens digit of i(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20187 - 20186.5. What is the closest to -2.6 in -2\/17, 4, 1, k?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4173.\nAnswer: 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**2 + f - 8. What is the tens digit of k(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 3*b - 1. Let z(h) = -5008*h**2 + 12*h + 3768. Let p(s) = -4*x(s) + z(s). Differentiate p(u) with respect to u.\nAnswer: -10008*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (7 - 2) + -6 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1195291499.\nAnswer: 12109, 98711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.42643ml in litres?\nAnswer: 0.06042643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2601\nAnswer: 1\/867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 + 87. Suppose 1600 = q + h - 2072, f = -5*q + 3*h + 18352. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from zqqatlz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (78\/10 + (-4)\/5). Is 74\/1*(-5 - 117\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4210670 divided by -842134\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -8*r + 14*w - 13*w, -5*r - 4*w = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/2722 and 65\/4083?\nAnswer: 8166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 47.1363102 to three dps.\nAnswer: 47.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 - 10360*c\/3 + 914119\/3.\nAnswer: (c - 10271)*(c - 89)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 387\/36 + 4\/16. Suppose -12*x + d*x = -13. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 5\/2, 25, 1\/6, -0.17, 2, -16\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 + 5*i + 3. Let w be f(-3). Let b = 0 - w. Is (-30)\/4*16\/b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15625 to the nearest one thousand.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68\/85 + (-256)\/(-5) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5186.696 litres in millilitres?\nAnswer: 5186696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -27.89651.\nAnswer: -27.59651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g**(-1)*g*g)**(-2\/133))**(-46) assuming g is positive.\nAnswer: g**(368\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 507*j**3 + 8*j - 18225?\nAnswer: 1521*j**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -167 - -5912227264\nAnswer: 5912227097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 5*o**4\/12 - 11755*o**3\/6 - 5880*o**2 - 3857*o. Let f(c) = 0. What is c?\nAnswer: -1, 2352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7917885 (base 10) to base 5\nAnswer: 4011333020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 23302650.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -1. Factor -1\/3*j**4 + 2\/3*j**w + 1\/3 - 2\/3*j + 0*j**2.\nAnswer: -(j - 1)**3*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(4*-1 + 10 + -8). Suppose 2*f + 2*a + 19 = 3*f, x = 5*f - 2*a - 87. Solve 5*b - 35 = 5*n, f = -b + 2*b - 3*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + f**4)*(3*f - f - 4*f)*((-3 + 1 + 4)*(-1 + 5 - 2) - 2 - 2 + 5 + 1 - 2 + 0 + 9 + 12 - 7).\nAnswer: -36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -398\/5 + 161\/2. Let q = -1\/2 + r. What is the closest to q in 3, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2349940.\nAnswer: 2, 5, 117497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 8. What is q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3177683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, t: 1, i: 4, p: 4, n: 1, k: 4}. Give prob of picking 1 t, 2 d, and 1 p.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z + 4*z + 44. Suppose 3*o - 21 = 3*w, 3*w - 43 + z = -2*o. Let m(f) = -f**3 + f**2 + f + 16. Calculate the lowest common multiple of o and m(0).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 91 - 142. Solve -b*l - 14 = -24*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 21*t**2 - 5*t - 2. Does 9 divide s(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10 + 7)*(1 + -2)\/5. What is the nearest to 0 in -1\/5, -2\/5, -0.5, f?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-21))\/((-2)\/(-12)). Suppose 63 = f*t - 3*m, 3*t + 2*m - 40 = -3*m. What is the remainder when 57 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -38 + 18 + 52?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 + -131. Let f(t) be the second derivative of 0*t**4 + 4*t + 0 + 1\/4*t**3 - 1\/40*t**5 - 1\/2*t**p. Factor f(m).\nAnswer: -(m - 1)**2*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 2*y**3\/3 - 8. Let s(r) = 2*r**2. Determine s(o(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 19 = 8. Let g = l + -10. Suppose 0 = 8*h - 5*h - 9. Solve -u + h = -k - g, 0 = -4*u - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. What is the second derivative of 0*j - j + u*j**2 + 5*j**2 - 11*j**2 wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 - 299324*w\/13 + 10478790\/13.\nAnswer: -2*(w - 35)*(w + 149697)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1025 bigger than -58\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m - 1010. Let f = -135 - m. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 12, -17*q + 15*q = -3*g + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/8 - 2427*p\/4 - 4853\/8 = 0.\nAnswer: -4853, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4\/5, -1\/2, 2\/46963, 0.1 in descending order.\nAnswer: 0.1, 2\/46963, -1\/2, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*d, 0 = 2*z - 0*z - d - 493. Suppose 4*n = -0*n + z. What is the remainder when n is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125346 is divided by 4093.\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 204\/13, -2\/17 in decreasing order.\nAnswer: 204\/13, 1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 143, -130, -118\/9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 823883 and 18193?\nAnswer: 5767181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7652079 from -0.4.\nAnswer: 7652078.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:44 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/5 + 476*h**3\/5 - 3262*h**2\/5 + 6484*h\/5 - 3696\/5 = 0. What is h?\nAnswer: 1, 2, 4, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 29514593.\nAnswer: -29514592.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*k**3 - 6*k**3 + 260*k**3.\nAnswer: 386*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06543890105 - -2996.\nAnswer: 2995.93456109895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) -517 (d) -21 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, -0.2, 2\/15, -9047, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/2 of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*t - 804 = 0, -z + 162 = 5*t - 39. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 95*i**2 + 27*i + 249. What are the prime factors of v(-8)?\nAnswer: 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13877623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 + 27*d - 2. Let a be c(-13). Let s = -15 - a. Let i(m) = -m**2 + 5. Let h be i(s). Solve -4*w = w + h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 21\/(-3) - -2 - -31.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 - -1.94. Let k be (-1)\/(-4*2\/(-24)). Let o(t) = -t - 4. Let s be o(-2). What is the second biggest value in s, k, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -23 (c) 1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 635540380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28710 and 2193705?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 702.6612kg?\nAnswer: 702661200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1041.1271 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -5*(1 + sqrt(7)))**2 + 2 + (-5 + (sqrt(343) + -4 + sqrt(343))**2 - sqrt(343) - sqrt(343)).\nAnswer: -86*sqrt(7) + 1522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**2. Let b(f) = 2*f**2. Let v(n) = -n**2. Let d be -1 + 8 + (3 - 6). Let j(t) = d*b(t) + 5*v(t). Calculate a(j(p)).\nAnswer: -27*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a + 0*a - a)*(-6*a**2 + 3*a**2 + 2*a**2) - 3*a**3 + 9*a**3 + 3*a**3 in the form f*a**2 + k + y*a**3 + x*a and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 117737552, 117737549, 117737544, 117737537, 117737528?\n\"Answer: -a**2 + 117737553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 6:20 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + -112101221?\nAnswer: -112101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5926, -5928, -5930, -5932?\n\"Answer: -2*i - 5924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*f + 22 = 0, f - 190 + 196 = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 912260074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from vcvccvcccc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 + 532*m**2 + 2155*m - 29. What is u(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 181 + 3132. Let a = q + -2214. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2026.08 + -2068. Let u = a - 8.78. Let o = 51 + u. Round o to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.45 - 1.55. Sort 0, d, -3.\nAnswer: -3, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = 40*m - 416 + 446 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -149, -2, -2\/43, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 11 - 4 = 0. Let h = f + 19. Which is the third smallest value? (a) h (b) 0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 q when three letters picked without replacement from qqddddqdqqdqqdddqddq.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123684 - 59587 - 4*h - 64097.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 5841 (c) 10 (d) -0.1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 1095 = 6797. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.69 and 23010.\nAnswer: -15876.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -773*l**5\/60 - 52*l**3\/3 + 4*l**2. Differentiate j(w) with respect to w.\nAnswer: -1546*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2055502, -5, 1, 2 in ascending order.\nAnswer: -2055502, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199.564 + 200. Let f = 0.435817 - z. Round f to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 2*m + 0*m)*(-m**3 + 0*m**3 + 4*m**3 + (-m**2 - m**2 + 4*m**2)*(2*m - m + m) - 15*m**3 - 24*m**3 + 6*m**3).\nAnswer: 52*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 675 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2575082 is divided by 135528.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -67*v + 4516. Let n be i(75). Is -518 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 2*d**2 + 6*d + 5. What is the tens digit of n(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvqv when four letters picked without replacement from qvvqqvq.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a - -1046?\nAnswer: 103a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 7*b**2 - 6*b. Let z be j(-6). List the prime factors of z\/(-8) - 37*-1.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-54) - (-5 + 6347\/1485 + -2). Factor 8\/5*u**3 - m*u**2 + 2\/5 + 4\/5*u.\nAnswer: 2*(u - 1)**2*(4*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s. Let g(j) = 0*j**2 + 2*j**2 - j**2 - 3*j**2. What is m(g(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(5*y**2 - 2*y**3 + 7*y**2 + 0*y**2).\nAnswer: -4*y**3 + 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.149?\nAnswer: 0.0149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x - 366560 = -159*x - 72*x. What is the smallest common multiple of 3476 and x?\nAnswer: 13904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j - 9 = 0. Let i(s) = j - 4*s - 5*s**2 + 5*s + 2 - 1. Let g(t) = t**2 - 1. What is 3*g(u) + i(u)?\nAnswer: -2*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 198627939 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 r = 10451 + -10485. Put -12, r, -1, -2, -4 in ascending order.\nAnswer: r, -12, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(-1))**(-24))**31)**11)**(24\/7) assuming v is positive.\nAnswer: v**(-392832\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.885716 to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 5802*z - 109522. Determine n(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4*5\/60*-14)\/(75\/225)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2627*i**2 + 104*i**5 - 2627*i**2 + (i**2 + 0*i**2 + i**2)*(-4*i**3 + 2*i**3 + 3*i**3).\nAnswer: 106*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 311192*33\nAnswer: 10269336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.88217 - 6.11783. Suppose 0 = -4*i - 4*a - 40 - 40, -2*a = -5*i - 79. What is the closest to 1 in -0.3, i, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvd when four letters picked without replacement from vvdv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + 0)*6 - (sqrt(45) - sqrt(720))**2 - (-2*sqrt(80) + -2 + sqrt(45))**2.\nAnswer: -534 - 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*n + 5*f, 3*n - 28 = 4*f - 8*f. Let l be n\/(-14)*-7 + 4. Solve 12*q = l*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 188 = 2*j, 0 = 2*j + 5*p + 544 - 716. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-2)\/(-4 + 8) + 0. Solve -y + u = v, 4 = y - 2*y + 2*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 11 + 1. Let l be (0 + -26)\/((-1)\/(-6)*-2). Suppose -5*y - l = -93. Calculate the least common multiple of y and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 - 74 + 8*b**3 - 9*b**3 + 3*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 9*d - 16. Does 65 divide p(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 7 + 4 - 4*x + x. Let p be m(-8). Let f = -5 - -5.3. What is the smallest value in p, 1\/11, f?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 34*a - 133. What is the units digit of m(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 27 = 19*s. Suppose -361 = -s*n - g, 4*n - 5*n + 88 = -2*g. Calculate the remainder when n is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 145 + -140. Suppose 0*z - 5*z = -10. Suppose -z*x + f = -1. Let b(h) = -h. Let q(i) = i. Calculate x*b(w) + q(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 10*i = -6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 4108*a**3 + 1375*a**3 + 1360*a**3 + 3*a**2 + 1345*a**3.\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 112323848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*d - 2 = 8, -4*d = -2*q + 4. Suppose 5*g - 3*k = 49358, -3*g - 2*k - q*k + 29609 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -21*h**2 - 5*h + 686. Let n(c) = 17*c**2 + 4*c - 678. Determine -4*a(i) - 5*n(i).\nAnswer: -i**2 + 646","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*c - 22 = -185*c + 365*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10424 + -15?\nAnswer: -10441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4747\/45 - -1004\/9. What is the common denominator of (10\/100)\/((-3)\/(-34)) and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/4 - 104236479*m**2\/4 + 226359253744506*m - 226359227685387.\nAnswer: 3*(m - 17372746)**2*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3*x - 31. Let w be r(-10). Put w, 0, 5 in ascending order.\nAnswer: w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3527, -3667, -3899, -4223, -4639?\nAnswer: -5147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2548191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (-5 - (-4 + 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17657 is divided by 188?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + (-1 + sqrt(700))*-2 + (-1*(sqrt(700) + (1*sqrt(700) - sqrt(700))) - sqrt(700)))**2.\nAnswer: -120*sqrt(7) + 6304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 32\/6 + (-4 - (-44)\/12). Suppose -4*a + i*n = -113, a - 7 = n + 20. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from leddddldll.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10011110011110 (base 2) to base 13\nAnswer: -4802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -10. Let l(w) = w**2 - 6*w + 2. Let n(m) = 1. Let s(g) = -l(g) + 6*n(g). What is the units digit of s(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: c33 (base 14) to base 6\nAnswer: 15033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2218.\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55748 + -39414. Calculate the smallest common multiple of b and 14.\nAnswer: 114338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 50 = -7*o + 3*o for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d. Let w(k) = -1086*k**2 + 27*k - 10. Give a(w(p)).\nAnswer: 7602*p**2 - 189*p + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a gram in milligrams?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 53*r + 32. What is g(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 66 - 46 - 43 - 4\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6*((-845)\/26 - -10). Let o(v) = v**3 + 4*v**2 - v - 4. Let x be o(-4). Solve j - 4*j + d = x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95172 is divided by 425.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -16*r**2 - 14*r. Let u be d(0). Put 1, -8.4, u in descending order.\nAnswer: 1, u, -8.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**5\/100 - 21*j**4\/20 + 441*j**3\/10 + 29*j**2 - 2. Suppose d(h) = 0. What is h?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, 3, -7 in increasing order.\nAnswer: -7, 3, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/4)*z*((z*z**(-4\/5)\/z)\/z)\/z*z)\/(z*z**(-2\/11)*z*z\/z**6) assuming z is positive.\nAnswer: z**(799\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -31412334?\nAnswer: -31412341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21812 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 576612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*h + 19*h - 149*h - 223*h + 49*h.\nAnswer: -529*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 296436 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.510239 minutes in hours?\nAnswer: 0.17517065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*p + 4*p, 5*p = -z - 5. Let k = 107 + -107. Solve z = -2*t - k - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-24))\/s*s**(2\/21) assuming s is positive.\nAnswer: s**(506\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1170*i + 2000259 - 2000259)*(-9 + 4 + 14) to the form l*i + k and give l.\nAnswer: -10530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/(3\/9). Let l = 2.379 + 0.551. Let t = -0.07 - l. Put r, t, 1\/3 in decreasing order.\nAnswer: 1\/3, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 29. Suppose t + 15 = -7. Let n = t - -36. Calculate the lowest common multiple of n and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -335625 (base 7) to base 4\nAnswer: -32210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 10:12 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*h**2 + 7635*h + 6 - 7633*h + h**4 as r*h + f*h**2 + a*h**4 + k*h**3 + c and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51680 and 228.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-1 - (-26 + -2). Suppose 3*l = -0*v + 2*v + s, v = -l - 1. Let c be ((-4)\/v)\/(6\/(-36)). Put 3, 4, c in increasing order.\nAnswer: c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -232\/953 + 1495521\/32402. Let g = r - 7\/17. Let w = 1\/3731 - 406699\/74620. What is the common denominator of w and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 232 and 2.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 10*u + u - 1)*(-10*u + u - 7*u + (0*u - 2*u + 5*u)*(1 - 1 + 3)).\nAnswer: -49*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -51. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - (0 - -9) - ((-50 - -3) + 0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17485 - 17483. Which is the nearest to 0.023? (a) k (b) 1 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.71279 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 0)*(-30)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2401 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + (5 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*n**4 - 2*n**3 + 905*n**2 wrt n.\nAnswer: -696*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 3)\/(-3 + 1 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.9, -2\/9, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*l = 45*l + 42. Suppose -9*b - 16 = -l. Let m be 4*b - 25\/(-5). Calculate the highest common divisor of m and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 p, and 1 u when three letters picked without replacement from {c: 1, x: 2, b: 1, p: 1, i: 1, u: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(5\/6))\/2. Solve -d = 5*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*v = -15. Suppose -1 = -2*h + v. Suppose 3*r = -5*y + 111, -3*r + h*r = 3. Calculate the remainder when y is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 42443*o**2 - 2*o + 408. Let q(t) = t. Give q(r(m)).\nAnswer: 42443*m**2 - 2*m + 408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 19702*b + 334916. What is t(-17)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 220*g**2 + 24\/5 + 68*g = 0.\nAnswer: -1\/5, -6\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*n - 6, 40*n - u = 43*n - 10. Suppose 3*b + 3*y = 5*b + 9, -5*y + 14 = -3*b. Sort n, b, 0, -6.\nAnswer: -6, b, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-33))\/((-598)\/3289).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*-1)\/((-29)\/(-29)*-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -2*u - 1\/30*u**6 + 4\/3*u**3 - 3\/20*u**5 + 1\/2*u**4 + 20 + 0*u**2. Factor n(b).\nAnswer: -b*(b - 2)*(b + 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39176208.\nAnswer: 2, 3, 197, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7700961713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-10) + (-45)\/(945\/924) + 29?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -60, -75, -110, -171, -264?\n\"Answer: -f**3 - 4*f**2 + 4*f - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*((-3*sqrt(68)*3 + -2*(sqrt(68) + sqrt(68)*-3))*-2*3)**2.\nAnswer: -122398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 + 3 - 114) + 13 + (27 - 54)?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 e, and 1 l when three letters picked without replacement from ooossovlellsleorvo?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-15)\/6) + -5. Let w = 285 + -289. Let y = s + w. Which is greater: -6 or y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 8582 - 8552 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 81 + -64. Suppose 3*b + 8 = g. Solve -4*k - 4 = 0, b = v - 0*k + k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 4 - 4)*(-4*d**2 + 4*d**2 + 2*d**3) + (2*d**4 + 2*d - 2*d)*(-6 + 2 - 2) + (15*d**2 + 9*d**2 - 9*d**2)*(-3*d**2 - 27*d + 27*d).\nAnswer: -51*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**4\/12 - u**3 - u**2. Let x be a(-7). Let k(p) = p + 3. Let g be k(0). Solve g*n - x = -4*j, -j - 5 = 2*j + 5*n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17127*m**2 + 17125*m**2 + 27*m**3 + 1434*m**3 in the form k + r*m**3 + s*m + c*m**2 and give r.\nAnswer: 1461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (56\/(-20) + 3)*(0 + 5). Solve 2*y + b + 3 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*f**2 - 69*f**2 + 362*f + 122*f.\nAnswer: -2*f**2 + 484*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(176) + (sqrt(11) - sqrt(11)*2)*3.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18930003 + -1334136.\nAnswer: 17595867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -391 - -626. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 + 270\/(-63)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 24 = 15*t. Let z = t - 2. Suppose 8*r - z = 4*r. What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -162032097 and 3.\nAnswer: -486096291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t**3 - 29*t**3 + 74*t**3.\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6\/5))**(4\/39))**(-15\/8) assuming j is positive.\nAnswer: j**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-13\/4))\/(x**(-2)\/x)*x\/x**(-7)*(((x*(x**(-19)\/x)\/x*x)\/x)\/x)\/x*x)**19 assuming x is positive.\nAnswer: x**(-931\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yufyunvvuunfyqf. Give prob of picking 1 u and 1 f.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 109*w**2 + 170*w + 34. What is f(-56)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458872, -917744, -1376616?\nAnswer: -1835488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136944 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**1)\/k*k))**(-1))**(-1\/3)*((k**(1\/3))**(-26))**(10\/9) assuming k is positive.\nAnswer: k**(-251\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3120780 and 2340.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 4*g + 0*g)*(-2*g**2 + g**2 + 3*g**2) + 25 - 25 + 10*g**3 to the form p*g + v*g**3 + k*g**2 + u and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6315924, 12631817, 18947710, 25263603?\nAnswer: 31579496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3 = -3*o, -f = -4*o - 16. Suppose 3*y - 5*l = 25, 0 = y - 4*l - 0 - f. Solve y*j = 3*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5575574 and 4.73657.\nAnswer: -5575569.26343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:11 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 46*x**2 - 6*x + 8. Let a be h(-8). Let p be (790\/(-3))\/(1\/a). What is p rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)\/(sqrt(27)\/sqrt(3)) - sqrt(27))*3)\/((sqrt(9) + sqrt(108)\/sqrt(108))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckxhmmf. What is prob of sequence mkmf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 5:23 PM?\nAnswer: 46","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wemme. What is prob of picking 1 e and 1 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 17*b**2 - 10*b - 10. Let r be k(8). Which is bigger: r or -164?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggc when three letters picked without replacement from gcgcccgcgcggcgccgcgc.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 20. Let g(y) = 10*y + 85. Let x be g(-8). What is the nearest to w in x, 0, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 18 - 6*w**3)*((-1 + 2*w + 1)*(4 - 3 + 9) - 3*w - 3 + 3) to s + h*w**2 + v*w**4 + g*w**3 + m*w and give v.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + -3 + 0 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -873 times 0.049\nAnswer: -42.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 2038 - 2038.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + t = 900, 2*a + 227 + 133 = 2*t. Let n = 257 + a. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 5*o**2 + 3*o**2 + (0*o + o + 0*o)*(0 + 0 + 2*o))*(4*o + 0*o - 3*o) + 142*o**3 - 3*o**3 + 74*o**3.\nAnswer: 214*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 plus 0.01?\nAnswer: 308.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(300) + -1*sqrt(300)*-4 + sqrt(300) + sqrt(300))\/sqrt(10))\/(-1*(-1*sqrt(120)*2)\/sqrt(12)))**2.\nAnswer: 3675\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*k + 8. Suppose -w = -2*w + 4. Solve 0 = k*d - 4*u + 6, 2*d = -u - 2 - w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6*t + 303*t + 524*t - 2.\nAnswer: 833*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952 is divided by 128?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08571088 rounded to 3 dps?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2 + 5501*g + 2 - 5523*g. Let m(c) = -27*c**2. Calculate m(r(l)).\nAnswer: -13068*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -64. Suppose -44*k + 693 = -y*k. Suppose -12 + 1 = -a. Calculate the highest common divisor of a and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 206\/3? (a) -0.01 (b) 3\/77 (c) 2\/7 (d) -2\/13 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24343 - 17577. Calculate the remainder when l is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 21. Let z be x + 4\/(3 + -1). Let f = -12 - z. Which is greater: f or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = n + 20, 2*n = -0*n + 5*w + 35. Suppose n*o - 662 = -4*s, -5*o + 2*s + 678 = -2*s. List the prime factors of o.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2 + l**2 + 1 + 5*l**2 - 5*l - 5. Let t be k(5). Calculate the least common multiple of ((-16)\/(-6))\/(14\/t) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -11194?\nAnswer: -111a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -8. Let r(u) be the first derivative of u**4\/4 - 7*u**3\/3 - 3*u**2\/2 - 19*u - 9. What is the tens digit of r(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllxlllxwlwll. Give prob of sequence xx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 54*s**2 - 233*s - 45. Give i(-58).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 25*o**2. Let w(q) = -7*q + 436. Calculate x(w(p)).\nAnswer: 1225*p**2 - 152600*p + 4752400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -20. Suppose v = 5*f + 963 - 3308. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 + 0.06. Which is the closest to -1? (a) 5 (b) j (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 436)*(-9)\/15. Suppose -3*r + 84 = -n. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1225*k**2 + 96*k + 186. Let u be g(-2). Is -4905 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - -0.9. Which is the closest to -0.2? (a) h (b) 2 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z**3 + 15629*z - 15629*z + (-5*z + 5*z + z)*(-2 + 2 + z**2) + (-z**2 + 2*z - 2*z)*(-3*z - z + 3*z) as i*z**2 + k + y*z + f*z**3 and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -4 (c) 0.3 (d) -3 (e) 3 (f) 9\/103\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 104\/30 + (-2)\/(-6). Let q = 22\/5 - z. Let t = 77\/10 - 46\/5. What is the third biggest value in -3, t, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 30 = 108618*x - 108621*x, -x + 50 = -5*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3300) + (sqrt(3300)*-1*1 - sqrt(3300)) + sqrt(3300))\/(sqrt(192) + (sqrt(3) + (-1*sqrt(3) - sqrt(3)))*6))**2 + -5)*-4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -109459*m**3 + 109460*m**3 + 2106 + 0*m**4 - 2*m**4 + m**2 in the form d*m + u*m**4 + f*m**2 + p*m**3 + l and give l.\nAnswer: 2106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 2:59 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*u - 8 = 0, 9 + 17 = 5*f - 3*u. Which is the third smallest value? (a) 2\/9 (b) f (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 573561 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -8, 2, 3.\nAnswer: -8, -6, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676641144?\nAnswer: 2, 3, 569, 49549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -210, -441, 1.\nAnswer: -441, -210, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 5*g**2 - 3*g - 4. Let b be t(3). Let c = -158 - -146. Put b, 0, c in ascending order.\nAnswer: c, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 1\/1867, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3967 is divided by 200?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2677 (b) 6\/11 (c) -3 (d) 8\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 8*c + 20*c**3 + 5*c.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2795, 2766, 2719, 2654?\n\"Answer: -9*y**2 - 2*y + 2806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -535*w**3 + 1840*w + 2245262?\nAnswer: -1605*w**2 + 1840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 20*y + 5 + 20, -2*y - 10 = -4*y - 3*y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 15*j - 176. Calculate k(6).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32122844 and 199424.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031778 rounded to six dps?\nAnswer: -0.000318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 260\/19?\nAnswer: 260\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.2, -42, 0, -19.87?\nAnswer: -19.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*s - 15. Suppose 0 = -n - s*g - 6, -4*g - 20 = -0. Suppose -2*l = 3*w - 8, 2*w = w - l + n. Solve -14 = -2*c + f, w = 4*c - 3*f - f - 36 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/1*(-8)\/(-80).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - 6\/(-10). Let o = r + 7. Suppose -5*l + l = -o. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -300 + 1737565067.\nAnswer: 1737564767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 239109 = 4*g, -5*g + 5*t - 119577 = -7*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14568854*b + 11037516 with respect to b.\nAnswer: -14568854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 2139780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-84)\/(-21))\/(2 - 1). Solve c*f + 10 = 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667.\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181*u**3 - 7 + 9 + 55*u**3 + 0 to the form i*u + l + b*u**2 + a*u**3 and give a.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 60. Let s = l - -29. Let m = -70 - -69.9. What is the nearest to -1 in m, s, 0.13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6222\/51)\/(-61)*2\/18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 467, 445, 427, 413?\n\"Answer: 2*v**2 - 28*v + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6835 divide 169890760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*q**3 + 1330*c*q - 359*c - 2524882*q**3 with respect to c.\nAnswer: -q**3 + 1330*q - 359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x + 1 + 3 + 1 + x**2. Let c be l(-4). Suppose 5*u - 159 = 4*y - 137, -78 = -5*u - 4*y. Solve u = 5*b - 0, c = 3*m + 5*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 15 = -k + 4*m, -3*k = -5*m - 46. Let x be (5\/1 - 2)*-1. Calculate the least common multiple of k and x\/((-81)\/6) + 291\/27.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 0 - 1\/132*h**4 + 0*h**3 + 1\/1155*h**7 + 15*h**2 + 0*h + 1\/110*h**5 - 1\/220*h**6. Factor d(l).\nAnswer: 2*l*(l - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28564*v**3 + 2*v - 1827?\nAnswer: 171384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-111)\/(-12) - 4) - 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16605 and 3116820.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*h - 17, -2*h = -6*h + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 1. Let d(t) = 2. Let n(q) = -d(q) + m(q). Let v(c) = -c**2 + c + 2. Let w be v(0). What is the units digit of n(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Let f(s) = 3*s**2 + 143*s + 644. Let j be f(-5). Solve -b = -y*b + j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10) + (sqrt(250)*4 - sqrt(250)) + sqrt(250)).\nAnswer: sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4903719 and 30528.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 458702 <= 458726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 4*n + 0 + (-5 + 2 + 2)*(-6*n + 21*n + 30*n).\nAnswer: -41*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + (185 - 203) + (39 - -6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 0*x + 2*x)*(-x**2 + 0*x**2 + 3*x**2) - 2*x**3 + x**3 - 3*x**3 - 2*x**3 + 0*x**3 + 6*x**3 to b*x**2 + s + y*x + d*x**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((100\/(-25))\/((-10)\/(-6)))\/((-93)\/620).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/1458)\/((-3)\/(-9)). Let n = y - 721\/972. What is the closest to 1 in 2, n, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 604 in 1, 0.4, 6, 0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*a - 3*w - 38, 5*w - 16 = -4*a. Suppose a = 4*p - 15. Differentiate 2*b + 1 + 4*b - p*b + 4*b**2 wrt b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 2. Let o be h(0). Let x = o + 7. Let v be (-48)\/x*3\/(-2). Solve -n + v = n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, g: 1, r: 1, x: 5, y: 1}. What is prob of sequence yg?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 11:28 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/((sqrt(224) - sqrt(14))\/sqrt(2) + sqrt(7)))**2 + (sqrt(68) - (1*sqrt(68) + 0))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -5 + 3 - -5. Suppose -2*l - x*l + 3*p = -61, 0 = -p - 2. What is the remainder when 31 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 18005*l. Let u(w) = 9*w**2. Determine u(k(m)).\nAnswer: 2917620225*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*16\/216*3. Solve -n = -2*n + w - 4, -8 = 2*n + f*w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -301 by 4.\nAnswer: -301\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3*u - 3 = 0, 5*u - 6 = -3*j + 6*u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/9 of a hour?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20730940?\nAnswer: 2, 5, 29, 31, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132 - 122. Let r be (-387)\/24 - 2*(-2)\/32. Let z = -1 - r. What is the remainder when z is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4399, -9380, -14361, -19342?\nAnswer: -24323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/3 (b) 3 (c) -536 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.45815 litres in millilitres?\nAnswer: 37458.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/30 + 5 + 5\/(-5)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 23*p**2 - 205*p - 3. Let v be q(9). Suppose 0 = -4*s + 4 + 4, -h = s - v. Put 0, -3, h in increasing order.\nAnswer: -3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 1404.\nAnswer: -140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 133*i - 135*i + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -31782*x - 667415. What is f(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajjqaaaajjanaaaqjapa. Give prob of picking 1 n and 1 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (74\/3)\/(1\/3). Factor -86*m**3 - 5 + 55*m - 175*m**2 + 137*m**3 + i*m**3.\nAnswer: 5*(m - 1)*(5*m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*x**2 + 12*x**2 - 7*x**4 + 227*x + 10*x**2 - 1 + 9*x**4 - 4*x**3 - 199*x as w*x + d*x**3 + v + s*x**2 + l*x**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -74*q + 473. Let k(j) = 25*j - 161. Determine 6*c(r) + 17*k(r).\nAnswer: -19*r + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*w - 335*w + 408 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -124.998 - 0.2552\nAnswer: -125.2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eugggeububg. Give prob of sequence ubue.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -1.2 (c) -14303\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.23 times 0.7\nAnswer: 0.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 less than 105303282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/(-56))\/((-8)\/272))\/(1\/(-2))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 3*k + 2*k. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1063263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - i = -3, -4*b + 2*i - 19 + 1 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6513419 rounded to 2 dps?\nAnswer: 5.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0)**(13\/2)*(v**4*v)\/(v\/(v\/((v*v**(-6)*v)\/v))*v*v) assuming v is positive.\nAnswer: v**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/62234 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 2, w: 3, e: 4, i: 2}. What is prob of picking 2 e and 1 w?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 3*k - 15*k - 8*k.\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -472, -503, -534, -565, -596, -627?\n\"Answer: -31*j - 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -134*y - 84*y - 2 - 934*y + 2*y**2 to s + q*y**2 + h*y and give h.\nAnswer: -1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.9, 1, 4, -2\/11, 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 96991*c - 1648543. Calculate h(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*1*sqrt(112) + (2*sqrt(112)*-2 - sqrt(112)) - 3*(0 + sqrt(112) + -4 - sqrt(112))))**2.\nAnswer: -1056*sqrt(7) + 13696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 34*x - 70. Let k be b(-32). Let s(t) = 6*t - 1. Let o(w) = -4*w. Let p(i) = -5*o(i) - 4*s(i). Let z(u) = -5*u + 5. Give k*z(l) + 7*p(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**5\/5 + 49*j**4\/24 - 13*j**3\/2 - 12*j**2 - 1. Let l(u) be the first derivative of v(u). Differentiate l(o) wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 71*t + 6. Let k(y) = -71*y - 7. Let o(r) = -4*k(r) - 5*m(r). Let x = 689 + -690. Let q be o(x). Calculate the greatest common factor of 46 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1584 and -1328?\nAnswer: 2103552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.04. Let m = 0.6 + -1.46. Let v = m - -1.06. What is the biggest value in i, v, 1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-42)\/(-3) + 1)\/1. Suppose -3*v - 3 = i. Let s = v + 10. Solve 2 = -2*u + 2*x, -15 = -u - s*x - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 - (-6)\/(-4). Let y(j) = -j - 1. Let w be y(v). Let m be (-25)\/(-10) - (-2)\/4. Solve m*p + w = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538 + 538 - 5*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 9:56 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 36*o - 1856. What is m(65)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 + 236 - (34 + 2) - -57?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*d**2 + 3*d**2 - d**2)*(-d**2 + 4*d**2 + 6*d**2) to t*d**3 + b + s*d + w*d**2 + i*d**4 and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 13302.08?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*k - 292, -4*k + 148 = 3*b - 50. Let z be (-4)\/(20\/(-305)) - (-32)\/4. Is b greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 + 111?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 19*j + 68*j**4 - 46*j**2 + 46*j**2 wrt j.\nAnswer: 816*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598993 is divided by 74868.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12011120000 (base 4) in base 7?\nAnswer: -16361540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 = -10. Let o = 24.4 - 23.4. Which is the closest to o? (a) w (b) -0.4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/(3\/4). Let j = 2.0932 + -7.0932. What is the closest to 2 in l, j, 0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75710 is divided by 83.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -f + 9, 3*f - 1 = 5*o - 8. Let n be 6\/(-1) - f - -1. What is the units digit of (-10)\/(-3)*n\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 20.1. Which is the closest to d? (a) 4 (b) 11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/30 + 1\/15*-7. Let f = 785 - 790. Which is the nearest to y? (a) -2 (b) f (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -571 + 595. Calculate the remainder when 181 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 4, -1, -4 in ascending order.\nAnswer: -4, -1, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(44*c - 21*c - 24*c - 237*c**4).\nAnswer: -474*c**4 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - 0 - (20 - 16). Let g(a) = -19*a**2 - 7*a - a + 30*a**p - 12*a**2 + 1. Give g(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tllllltllt. What is prob of picking 1 t and 2 l?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 501\/(-1304) - ((-234)\/(-16) + -15) and -17\/90?\nAnswer: 14670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 6:22 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.1, -7\/6, -7\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*sqrt(1331)*-1*-2*1 - (sqrt(1331) + -4 + (sqrt(1331) + 2 - sqrt(1331)) + sqrt(1331) - (sqrt(1331) - (3 + -1 + sqrt(1331))))))**2.\nAnswer: 133100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 94950*o - 1 - 47481*o - 47468*o. Let y(i) = -i - 1. What is 2*l(k) + y(k)?\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-28))\/(3\/21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196 - 202. Let p(c) = c**2 + 7*c - 4. Give p(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43719972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 89997997\/1074 - -471\/358. Let x = 57832283\/690 - s. Let c = 158\/23 - x. What is the common denominator of c and -97\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35064183)\/856834 - (-4)\/(-158) - -41?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 6\/(-10))\/(1 + 0). Which is the nearest to -2? (a) -5 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 564*g**2 - 4*g - 4. Let b = -590 - -589. What is the hundreds digit of f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1275231289 to the nearest integer?\nAnswer: 35710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-22230)\/20)\/(-19))\/((-12)\/(-16)). Calculate the greatest common factor of p and 1222.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5\/2, -3, 25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 1 + 5. Let d(y) = 4*y**2 + 13*y + 19. Let r be d(-3). Find the first derivative of -17 - r*a**n + 6 + 6 wrt a.\nAnswer: -32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(2*sqrt(11)*1) + 3)*-2 + (-4*sqrt(66)*2)\/(sqrt(36)\/(sqrt(6)*-3) - sqrt(6)).\nAnswer: -6 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*(-950)\/40?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5 - 15. Suppose -5*o + 3*z - 3 + 23 = 0, 3*z - 12 = -3*o. What is the remainder when o is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2526518005.\nAnswer: 5, 11, 45936691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6625 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2897 + 0.1964. Round b to 3 dps.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 * 0.05\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -124200?\nAnswer: -124131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1488997 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*j - 12 = 2*x, -4*j + 12 = -2*x. Let p = x + 4. Let d be (6\/(-9))\/(p\/45000). Round d to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 20*n**2 + 36*n + 15. Calculate the remainder when c(-18) is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00335 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 174.7624 and 7?\nAnswer: 1223.3368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 5 (b) -2\/13 (c) 1593 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73405\/15235)\/(1\/11) - -8.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c*g*o + c*o + 61*c*z**2 + g*o*z - g*o + 19*g*z**2 wrt c?\nAnswer: g*o + o + 61*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**3\/7 + 117570*a**2 + 6583968*a\/7 + 13167968\/7 = 0. What is a?\nAnswer: -4, 822998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1444605*n**3 - 6930738*n**2 wrt n.\nAnswer: 8667630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(99)*-1)\/sqrt(9) - (0 + sqrt(396) - sqrt(396))) + -2.\nAnswer: -sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(11) + (sqrt(165)\/sqrt(5) - sqrt(33))\/sqrt(3)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -5583?\nAnswer: -5583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*w**4 + 1454 - 2*w - 414 - 207 + 18*w**2 wrt w?\nAnswer: 600*w**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6569 - 6564. Factor 14\/3*d**3 + 34\/9*d**4 + 10\/9*d**z + 4\/9*d + 0 + 22\/9*d**2.\nAnswer: 2*d*(d + 1)**3*(5*d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/72)\/(14\/(-42)). Let v(y) be the second derivative of -1\/60*y**6 - 1\/4*y**2 + 0*y**5 + 0*y**3 + x*y**4 + 2*y + 0. Factor v(p).\nAnswer: -(p - 1)**2*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10))**50\/(k*k**(-33)*k**(2\/99)) assuming k is positive.\nAnswer: k**(-46334\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*t + 58. Sort -1, -2, t, -4 in decreasing order.\nAnswer: -1, -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -147*x**3 - 3*x**2 + 40*x. Let k(y) = 293*y**3 + 5*y**2 - 79*y. Let q(t) = -3*k(t) - 5*s(t). Find the second derivative of q(b) wrt b.\nAnswer: -864*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*x. Let l(m) = -m**2 - 10*m - 11. Let f be l(-8). Suppose -f*s + 0*s = 0. Solve s*y - 3 = 3*y - 3*h, x = -2*h + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 363 divided by 1054\nAnswer: 363\/1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2. Let t(i) = -18*i - 30. Give 2*t(o) + 30*v(o).\nAnswer: -36*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 3820*p + 26789.\nAnswer: -(p - 3827)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4570.069 + -4570. Let s = -466.269 - -466. Let t = c + s. What is the third biggest value in 32, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 8. Let k be c(7). Let l be (0 - -3) + k + 1. Let z be (-1)\/(51\/18 + -3). Solve -l*a + 0 + z = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 4. Let n be 4 - 26 - (g + -2). List the prime factors of 8\/(-10)*(n - 6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 2, c: 2, d: 1, k: 1, m: 1}. What is prob of sequence dc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 19*o + 39. Determine m(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*n - 5 + 7 - 304*n**3 - 4 - 102*n**3.\nAnswer: -406*n**3 - 468*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*c = -4*g + 348, -g + 75 = 4*c. Suppose g = -10*i - 69. Calculate the lowest common multiple of (i\/20)\/(1\/(-20)) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6821 + 0.7821. What is the nearest to -2\/7 in g, 2\/15, -7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1029 and 0.3201.\nAnswer: 1029.3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 919326 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*t - 78 = 58*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -67?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2. Let h(c) = -9*c**2 - 15*c. Let z(w) = 17*w**2 + 29*w. Let j(l) = -5*h(l) - 3*z(l). Determine x(j(u)).\nAnswer: -36*u**4 - 144*u**3 - 144*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 1 - 1 + 0 + 3 + o + 0*o. Let w(n) = -1. Suppose 10 = p - 3*v, p + 5*v + 4 + 2 = 0. Calculate p*w(g) + x(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-14550*(-11)\/165).\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, 5, 31, 69, 119?\n\"Answer: 6*m**2 - 4*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3013337 centuries in millennia?\nAnswer: 0.03013337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 52*r + 1602. Determine c(-30).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -194?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -38*h - 38. Let r(t) = t**3 + t + 1. Determine -38*r(k) - w(k).\nAnswer: -38*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 70300*u + 70325*u + 72 = 0, 2*u = -6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + w + 22. Determine x(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19424405591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/11 or -55.825?\nAnswer: -55.825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35810 + -573167\/16. Is -14 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 37. Let d = z - -100\/3. Which is smaller: 0.1 or d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(99)*1)**2*3)*-2 + (-5 + sqrt(99)*-3 - (sqrt(99) + 3)*5).\nAnswer: -608 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 10*s - 8*s - 424191 = 0, -5*y - 5*s = -424185. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 10*g + 18. Let b be v(11). What is the greatest common divisor of b and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 + 48*g + 32. Calculate t(-12).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/3)\/(3\/54). Calculate the remainder when -2*(s - 51)*(-2)\/(-3) is divided by 132\/5 - (-2)\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(171) + -1 - (-1 + sqrt(2299))) + -5 + -3*(-3 + 2*sqrt(19)))**2.\nAnswer: -104*sqrt(19) + 3227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 8:35 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3656098 milligrams to micrograms.\nAnswer: 365.6098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/2)\/(7*30\/252)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 13 = -3*q - i, -4*i + 24 = 4*q. Calculate the remainder when ((-255)\/(-25))\/(42\/70) is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2827 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: Calculate the highest common divisor of 135 and 10522440.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -62. Suppose -103*u + 88*u = -105. Sort j, -1\/7, u, 1\/6 in increasing order.\nAnswer: j, -1\/7, 1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 442, -74 in decreasing order.\nAnswer: 442, 5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 = 3*d. Let l be ((-2)\/3)\/((-2)\/3). Let q = l - d. Solve 0 = -5*v - 3*j + 5, 25 = 5*v + j - q*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198061749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 4 + 4)*(-g - 4*g + 3*g) + 4*g**2 - 4*g**2 + 3*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61.2 and -0.9.\nAnswer: 55.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 34 + 51 = 0. Suppose y = 5, 3*f - p*y + 8*y - 141 = 0. What is the remainder when f is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((636\/(-48))\/(50\/20))\/(1\/2)?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23976959 times 0.64\nAnswer: -15345253.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 60 + 6a495?\nAnswer: 6a525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6673, 5 in ascending order.\nAnswer: -6673, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 357 + -357.4. Let j = 12 - 17. Put d, j, -6\/5 in ascending order.\nAnswer: j, -6\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s = 38*s - 5*n - 275, 2*n = 3*s + 235. Let h be (-72)\/10*(s\/2)\/5. Is h less than or equal to -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 23*t - 4 - 9*t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-26)\/14)\/(39 - 41)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 3*u**2 - 13*u**4 - 2*u + 589*u**3 + 597*u**3 - 1183*u**3 as y*u**3 + z*u + s*u**2 + v + m*u**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23408*b + 23347*b - 488 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38219519.\nAnswer: 13, 17, 53, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 942*n + 6*n**3 - 942*n - 11*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6236 and 8884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12059801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26915, 26932, 26969, 27032, 27127, 27260?\n\"Answer: v**3 + 4*v**2 - 2*v + 26912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0397813575 to four decimal places.\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2493.0027 to 0 dps.\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -737*r - 553*r - 5190 = -1463*r for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13.28 and -1413?\nAnswer: 1426.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37c - -2?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 32 = 7*u. Let o = u - 3. Let q(s) = s + 3. What are the prime factors of q(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 6 = 4*t - 5*m, 4*m - 4 = 6*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 33*m**2 + 2*m - 3. What is y(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 817, 820, 823, 826, 829, 832?\n\"Answer: 3*l + 814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -953\/4 <= -237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1665366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 7*g**2 + 2*g - 2. Let l be h(4). Let q = -24 - l. Calculate the smallest common multiple of q and ((-27*2)\/(-3))\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2068)\/329)\/(((-60)\/(-63))\/(-5)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 22. Let p = 22 + i. Is 2\/7 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8608593?\nAnswer: 3, 7, 409933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17247 is divided by 5904.\nAnswer: 5439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -287 + 287.3. What is the second smallest value in 0, j, 0.1, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 + g**2\/2 + 5*g\/3 - 4.\nAnswer: -(g - 4)*(g - 2)*(g + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(3 - 3 - x) + x - 6*x - 7*x + (1 + 5*x - 1)*(-3 + 0 - 1) + 3 - 3*x - 3.\nAnswer: -37*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 223004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 45, 74, 103, 132, 161?\n\"Answer: 29*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340806 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 138, 1, -1389, -39, -2 in descending order.\nAnswer: 138, 1, -2, -39, -1389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((2 + -7)*(-8)\/20)\/6. Let x = -380 + 377. What is the nearest to -0.1 in -1.2, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 1951197899.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(3\/1*2244\/(-102))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*c + 1196 = -21*c - c for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -788, -1492, -2042, -2366, -2392, -2048, -1262?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -1, -420, -2\/5, -1\/8, 4.9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4080 divided by -1360.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 6*o**3 - 2*o**3)*((0 - 4 + 3)*(-o + 0 + 0) + 0*o + o + 9*o)*(-3*o + 4*o + 0*o).\nAnswer: 22*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**8\/280 - j**4\/8 + 5*j**3\/6 + 8*j. Let s(g) be the second derivative of w(g). Find the first derivative of s(d) wrt d.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 + -42?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1322 and -8\/45.\nAnswer: 59490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 9 = 0, 4*x + 0*j + 16 = 4*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144326 + 4261?\nAnswer: 151620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -331, 1, 2\/7, -1\/3 in decreasing order.\nAnswer: 4, 1, 2\/7, -1\/3, -3, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2\/3 - 52286*n\/3 + 34860 = 0.\nAnswer: -26145, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 130 - 110. What is the smallest common multiple of 30 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/654 and -73\/1090.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -8*(-4)\/(-8). Suppose -n*o = 4*f - 25 - 69, -5*f - o = -113. What is the greatest common divisor of 66 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*x - 2*x - 38*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*i + 2 = -q, -5*i = -4*q - 8. What is the common denominator of 131\/36 and ((-6)\/(24\/142))\/q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-2 - (-12)\/(-20)))\/(-11). Put 2\/3, 0.2, f in descending order.\nAnswer: 2\/3, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/17 (b) 13 (c) -6\/5 (d) -832 (e) 1 (f) -0.2 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4012 and 1292.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 2, -0.3, 3\/2, -17\/13, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/31052 and -89\/2288976?\nAnswer: 16022832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 - 2 = 0. Let m(i) = -5 + 2 + i**2 - i + k. Let s be m(2). Sort 2\/7, -1\/6, s in descending order.\nAnswer: s, 2\/7, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, y: 5, h: 3}. What is prob of picking 1 y and 1 h?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {s: 3, n: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56.1 + -27.5. What is k rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23667451.\nAnswer: 17, 29, 61, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0) + (-6 + -62 - -50)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1405681.6647 to the nearest ten.\nAnswer: -1405680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (30 - (0 + 35)) - -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 e when three letters picked without replacement from vevevveevvvvvvvvvvv?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3 - 247*b**2 - b - 50.\nAnswer: -18*b - 494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1598, 5716, 12598, 22256, 34702, 49948, 68006, 88888?\nAnswer: 112606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209 + 40*y + 209.\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 3639512.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 10*g + 591 + 2*g**3 - 12*g - 3*g**3. Is p(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 963204 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from vnnnnnhvhnnn?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 11. Let i(z) = 3*z + 12. Let n(b) = 4*i(b) + 5*m(b). Determine n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 13*w + 117. Let s = w + 51. Factor -s*y**4 + 125*y**2 - 108*y + 7*y**4 - 17*y**2 - 36*y**3 + 9*y**4.\nAnswer: 4*y*(y - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/967 + 36776\/14505. Calculate the common denominator of 58\/387 and g.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*z**2 + 31*z - 31*z - 6*z**4 wrt z.\nAnswer: -144*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-8)\/9)\/(-8)*(-20 - -25) and -31\/630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*3*5\/((-550)\/10).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -7. Let r(k) = -k - 2. Let f be r(-4). Let y = -2 - -2.5. Which is the biggest value? (a) x (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 834\/(-18))*9\/6. Suppose -4154 = -8*m - n. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-119)*21\/12*192\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.345? (a) 0.4 (b) -115 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*h + 138, 3*h = h - 4. Let n be (p\/18)\/((-6)\/27). Differentiate -6 + 5*q**2 + 10*q**2 - n*q**2 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -73, -2, -4 in decreasing order.\nAnswer: 3, -2, -4, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-30)\/u**(-9))**(-43) assuming u is positive.\nAnswer: u**903","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 25. Let h be j\/(-14) - (-1)\/2. Solve -5*b - 10 = -d - 0*d, 11 = h*d - b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 193*p**2 - 4*p - 5. Suppose a - 187 = -192. Let h be k(a). What is h rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2880) - (4*sqrt(2880) + -1)) + (sqrt(2880) - -2*-1*sqrt(2880)))**2 + -1.\nAnswer: -960*sqrt(5) + 46104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmx when three letters picked without replacement from rdmvlmdx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**5\/11 + 155*y**4\/11 + 104*y**3 - 1544*y**2\/11 - 12432*y\/11 + 19440\/11 = 0.\nAnswer: -6, -5, 2, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7743010 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34052635*r**3 + 2403*r + 6291.\nAnswer: -204315810*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*47\/(-4) - (-2)\/(-8). What is the tens digit of (-261)\/y - 2\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168272.88 rounded to the nearest one hundred?\nAnswer: 1168300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*u = 7*d - 345, -2*d + 22*d - 5*u = 13*d + 600 for d.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-27\/2)\/p*p)\/p)**(2\/137)\/(p*p**(-15))**(-9\/4))**1 assuming p is positive.\nAnswer: p**(-8689\/274)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*v - 750*v = -108723 - 48727 for v.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1116.2193 - 0.3.\nAnswer: -1116.5193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 24, 30, 36, 42, 48?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4 = 6*a. Let q = -2 - a. Factor -2*f + f + 2*f + 0*f**2 + q*f**2.\nAnswer: f*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -142818 and -56?\nAnswer: 7997808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3245*m - 365. Let w(j) = 203*j + 23. Determine 6*k(p) + 95*w(p).\nAnswer: -185*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-33)*6)\/2. Let h = -1.1 + -0.9. Which is the third biggest value? (a) 1 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**3 + 511*v**2 + 162*v - 1366. Determine s(-170).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-156)\/18)\/(10\/(-15))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**4\/24 + 5*k**3\/6 + 4*k**2. Does 18 divide l(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -286937 (b) -2\/7 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5945)\/(-203) + (-2)\/7. What is the highest common factor of s and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8974 divided by -2.\nAnswer: 4487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8959\/15581943 - -2\/11637. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + -2.98. Let v = j - -2.9. Let o = -0.4 - -0.5. What is the nearest to v in 5, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-135) + ((204\/(-119))\/3 - (-5518)\/126)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/25*(-3 - -1). Suppose -5*l = -19 - 11. Let d be ((-4)\/l)\/2*-9. Which is the second biggest value? (a) d (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*q - 10 = 5*m, -m - 3*q + 17 = 0. Suppose 5*a + 16 = a, -2*r = m*a - 119980. What is r rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-7\/6)\/(g\/g**15))**(1\/4))**(2\/163))**(-39) assuming g is positive.\nAnswer: g**(-1001\/652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbj when three letters picked without replacement from {l: 1, g: 4, j: 1, b: 3, z: 7, e: 4}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/23572618 and -52\/21581.\nAnswer: 165008326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13 + 0.65. Let y = -20.48 - f. Let g = 21.4 + y. Sort g, 0, -0.4 in descending order.\nAnswer: g, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 139, -40, -1 in decreasing order.\nAnswer: 139, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21311, 38369, 66807, 106631, 157847?\n\"Answer: f**3 + 5684*f**2 - f + 15627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**6\/3 - 54*x**5\/5 + 33*x**4\/2 + 6046*x**3\/3 - 10032*x**2 - 25992*x + 11489. Suppose s(g) = 0. What is g?\nAnswer: -19, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -9*l - 38. Let v be m(-4). Sort v, 5, 3.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000981859 to 7 dps.\nAnswer: -0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -3)*(2 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -462469*x**5 - 49*x**4 + 28*x**2 + 4*x + 42133 wrt x?\nAnswer: -27748140*x**2 - 1176*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/((k**(-27)\/k)\/k))\/k))\/(k\/(k\/(k*k**20))) assuming k is positive.\nAnswer: k**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3155375667?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 52 = 8. Solve s*y = 5*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3. Suppose -24 = -2*j - 2*j. Let b = -46433 - -46440. Solve n = -2*k - 3*i + j - 1, 5*k = -i - b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxoo when four letters picked without replacement from {c: 5, o: 2, x: 12}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 120 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/33*1 + 1052\/198 + -5. Sort h, 2\/7, -3.5, -0.01, 0 in descending order.\nAnswer: 2\/7, h, 0, -0.01, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*a - 64*a + 5 = 0. What is the second derivative of -67 + a*f**3 + 67 - 15*f**5 + 60*f - 4*f**3 wrt f?\nAnswer: -300*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 8*x**2 - 6*x - 13. Let w(d) = d - 5. Let k be w(5). Suppose -2*n - 6 - 12 = k. What is the units digit of i(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 33*g**2 + 23034*g + 72. Let o(t) = 15*t**2 + 10470*t + 33. Let u(w) = -24*o(w) + 11*s(w). Factor u(y).\nAnswer: 3*y*(y + 698)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3911668 to the nearest integer?\nAnswer: 1978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 4. Let m = 421 + -418. What is the closest to g in -1, m, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 11 = 3*x, -3*x + 1 + 4 = -5*h. Suppose -h*a + 11 = 3*c - 2, 0 = 4*c - 3*a + 11. Which is smaller: -2\/65 or c?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*j**2 + 159*j**2 + 25*j**2 - 76*j**3 + j**6 wrt j.\nAnswer: 120*j**3 - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -165e?\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 20430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*v = -136*v - 126. Let h(s) = -s - 6. Let w(n) = -2*n - 12. Let z(o) = 13*h(o) - 6*w(o). What is the lowest common multiple of z(-10) and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363 and 14641?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 3*v + 1. Let t(z) = -6 - 3*z**3 - 9*z - z**2 - 10*z**3 + 14*z**3. Let f be t(4). Let b be ((-12)\/(-4))\/(f\/10). Determine q(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -16*v**3 + v**2 + 73*v + 233. Determine n(-5).\nAnswer: 1893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 48. Let r = 24 - 22. Suppose 56 = -4*q - 3*h, 6*h + 34 = -r*q + 3*h. Put -4, n, q in decreasing order.\nAnswer: n, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 1:52 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 8. Let p be (-1538)\/y + (-9)\/(-12). Suppose 3*x - p = 14. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 + 36 - 28)*(-3 + 3 - o**4) + (-2*o + 3*o - 2*o)*(o**3 - 6*o**3 + 0*o**3) in the form c*o**3 + a*o**2 + g + r*o + z*o**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 329, 0, -1099, 4 in increasing order.\nAnswer: -1099, -1, 0, 4, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -35835283, 7, 1 in decreasing order.\nAnswer: 7, 1, -1\/5, -35835283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/2 + 25489*h**3\/2 - 25491*h**2\/2 - 25489*h\/2 + 12745 = 0 for h.\nAnswer: -25490, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 261323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -83 - (6 - -3)\/(-3). Let i be -2*6*y\/12. Let c = i + -55. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 times 13.99?\nAnswer: 3091.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a decade in months?\nAnswer: 1272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137152973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*i - 88 + 88 - 270*i as r + v*i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28850341*b**6 + 5*b**4 + 2*b**2 - 34770395*b?\nAnswer: -3462040920*b**3 + 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2.3217712+553.44\nAnswer: 551.1182288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + (-6 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 7963*f - 87700. Let u be k(11). Let m be (-42)\/(-2) + (-3 - -2). Solve -u + m = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*r**3 + 3*r**2 + 2*r**2 - 59*r**3.\nAnswer: 9*r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*(-24)\/648*9\/3. Which is smaller: m or 1\/624?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*m - 27. What is the closest to -2 in m, 2\/3, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-99))\/((-211)\/(543114\/(-3588))).\nAnswer: 14\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 219555799.96814 - 219552305. Let j = m + -3495. What is j rounded to 3 decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*y**2 - 9260*y - 181355.\nAnswer: 5*(y + 19)*(3*y - 1909)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and -363527233.\nAnswer: -363527225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*((((sqrt(2448) - 3*sqrt(2448))*-1 - sqrt(2448)) + sqrt(2448) - sqrt(2448)) + sqrt(2448) - (sqrt(2448) + 0 + 3)))**2.\nAnswer: -1800*sqrt(17) + 61420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*b**2 + 18*b**2 - 33 - 55*b**2.\nAnswer: -7*b**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.792932 millilitres in litres?\nAnswer: 0.006792932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 greater than or equal to 6.45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -77*z + 2281. Give g(29).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 757.9116 + 0.0884. Let y = j - 757.9898. What is y rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 29 - 79. Suppose r + 0 = 5*x, -5*x + 125 = -5*c. Let w be 1\/(1 + c\/25). Solve w = -v + 8, -5*v = 3*g - 21 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5764 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 58\/3 - (-4)\/6. Suppose 4*y - i = 64. Calculate the remainder when 81 is divided by y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -49*u**3 - u**2 - 5*u - 5. Let q be g(5). Let h be (-1)\/1*q\/33. Let v = -187 + h. Calculate the common denominator of -89\/10 and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124.722 litres to millilitres.\nAnswer: 124722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*l + 3*r, 2*l + 3*r - 40 = 8*r. Let k be 3\/(-30) - 46899999\/l. What is k rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6077 (base 15) in base 3?\nAnswer: -222202101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 48*j**2 - 272*j - 3. Let k be p(-42). Is k greater than 837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + 2 + -2 + -22 + 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 43472\/5, 0.4, 4, -4\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 2:24 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 60 = 3*w, 5*a - 38 + 18 = w. What is the common denominator of (((-44)\/20)\/1)\/((-84)\/w) and -15\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -184380 to the nearest one thousand.\nAnswer: -184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.63? (a) 62 (b) -2 (c) 0 (d) -1\/422 (e) 3\/2 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**4 - 22*z**3 + 20*z + 14. Let q(l) = 7*l**4 - 20*l**3 - l**2 + 21*l + 15. Let k(b) = 5*m(b) - 6*q(b). Factor k(g).\nAnswer: -2*(g - 5)*(g - 2)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 6*b**2 - 11*b - 8. Let c be h(-7). What is the units digit of (10\/c)\/((-2)\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*l - 86*l = -31*l. Put -2, l, 38, 5 in ascending order.\nAnswer: -2, l, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*r - 0*r - 7, -5*s = -3*r - 9. Suppose 7*m - s = 6*m. Sort 1, -1, m.\nAnswer: -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 - 452*q**2 + 2016*q - 4. Let a(v) = 5*v**3 + 906*v**2 - 4030*v + 7. Let g(o) = -4*a(o) - 7*k(o). Find the second derivative of g(w) wrt w.\nAnswer: 6*w - 920","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 7:55 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 21000\/17, -7\/4, -1\/8 in ascending order.\nAnswer: -7\/4, -1\/8, 2\/17, 21000\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2854 is divided by 106?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6*v*v**3)\/(v*v*v*v\/(v**0\/v*v)*v\/(((v*v*v\/v**21)\/v*v)\/v)*v))**8 assuming v is positive.\nAnswer: v**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 - 2*c + 303. Let o = -337 - -337. Is w(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 + o + 3. Let x(n) = -2788*n**2 + 16*n + 1780. Let y(p) = -x(p) + 16*z(p). Find the first derivative of y(q) wrt q.\nAnswer: 5672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14769 greater than 14767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/14397795 or 1?\nAnswer: -2\/14397795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3\/2*c**3 + 15\/2*c + 3 + 6*c**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s + 5*l, -3*s - 10 = -4*s + 3*l. Let u be ((-10)\/25)\/(2\/(-120)). Let p = u - 17. Solve 5 + p = s*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*(306\/(-2023))\/((-27)\/63).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-21)*(-1 + -8). Let y(t) = 29*t**2 - 3*t. Let f(c) = 58*c**2 - 5*c. Let g(b) = j*f(b) + 5*y(b). Let m(x) = -9 - 31*x + 9 + 32*x. Give g(m(p)).\nAnswer: -29*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44327077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k**3 + k)*(-2 - 3 + 2)*(19 - 10 - 4).\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11461 and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 4971 - 6264 = 0. Which is greater: k or 534?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.16 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3230 + 2276*o + 3230.\nAnswer: 2276*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 24*d**2 - 276*d - 616.\nAnswer: 4*(d - 7)*(d + 2)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 9:59 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1391, 1784, 2179, 2576, 2975?\nAnswer: 3376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/5 - 4671*b**2\/5 + 9333*b\/5 - 933 = 0. What is b?\nAnswer: 1, 1555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 + 15 + (-6 - -2). Let u be -7*r*40\/(-168). Let f(l) = l**3 - l**2 + l - 1. Let q(h) = -6*h**3 + 4*h**2 - 5*h + 2. Calculate u*f(z) + q(z).\nAnswer: -z**3 - z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = h + 2*h + 141, 3*h = 5*s + 405. Let c = -73 - s. Solve 0 = -6*b + c - 17 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - 4*(sqrt(108) - (1 + sqrt(108)))**2) + 3*3*sqrt(108).\nAnswer: -4 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/((-4)\/(-36)). Let d be -2 + (3\/q - -4). Solve -v - 3*p - 19 = -4, 0 = -v + d*p + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18832)\/(-24) + (12\/(-9))\/2. Let n = m - 5490\/7. Let u = -80\/7 + 299\/28. What is the nearest to 4 in n, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 1)\/1*0. Suppose 5*u + 22 = 3*z, -3*z + 3*u + 5 + 7 = r. Suppose 10*k - 15*k - 2*y - 4 = 0, -3*k = -y + 9. Sort k, 4, z in descending order.\nAnswer: 4, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*d + 1. Suppose -d*q + 19 = 4. Suppose 2*o - 39 = q*n, 6*o - 5*o = -n + 2. What is the remainder when 20 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71*g**2 - 11*g**2 - 100*g**2)*(2 + 6 - 3) to d + h*g**2 + y*g and give h.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1665.203ml to litres.\nAnswer: 1.665203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.451 rounded to the nearest 10?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289309385 to the power of 1\/2, to the nearest integer?\nAnswer: 17009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -171 + 262. Suppose -d + z = -45. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000924 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 5, 0.031, -2, -0.1, -3.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -95c7 (base 13) in base 11?\nAnswer: -14682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -13*f + 4. Let g be w(-4). Is (g - 3)*1 + 3 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6\/11)*s**33)\/((s\/(s*s**(1\/17)))\/(s*s*s**(2\/161)\/s)) assuming s is positive.\nAnswer: s**(1009361\/30107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137456*g**3*v**2 - 403*g**3*v + 2*g**2*v - 8*g**2 - 1954*g*v**2 + 13*g wrt g?\nAnswer: -824736*v**2 - 2418*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 238026799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/(n**0*n*n))**(10\/13) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.03, 1\/3782, 2, -12 in descending order.\nAnswer: 2, 1\/3, 0.03, 1\/3782, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1139 is divided by 191.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 200 + -207 - (2 + -4 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 100*p = -101*p + 3142, 0 = 4*t + 5*p - 12570. List the prime factors of t.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 5. Let m be r(-9). Let h be 2*((-3)\/2 + 0). Let b be h + (m\/2 - 3). Let g(y) = y**3 + 3*y**2 - 2*y. Give g(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18) + (-2250)\/(-81). Suppose -n = -7*v + 3*v. Calculate the greatest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -409.9 - -421.8968. Let a = t - 12. Round a to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149655, 299285, 448915, 598545?\nAnswer: 748175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**3\/5 - 243366*p**2\/5 - 486723*p\/5 - 48672 = 0.\nAnswer: -81120, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -6. Let d(u) = -2*u**2 - 14*u + 2. Let r(i) = i. Let j(p) = -d(p) - 12*r(p). Is j(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 369912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7155 divided by -53.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 - -3461 - (-14 - -20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 2 - 1)*-1. Suppose 3*x - 2*m - 35 = 0, -4*m + 3*m + 5 = u. Let i be 3\/(x\/(-2))*-5. Solve 0*b = 2*b, i*b + 4 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**2 - 2*v + 1. Let d be m(1). Let j = 66 + -28. Let o be d - 4\/(48\/j). Which is the third biggest value? (a) -1\/3 (b) o (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2. Let g(y) be the second derivative of -7*y**6\/180 + y**4\/24 - 10*y**3\/3 + 49*y. Let b(w) be the second derivative of g(w). What is b(f(q))?\nAnswer: -14*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 3:41 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180400 and 1675465.\nAnswer: 2255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76792891?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 8*t**2 + 4*t - 7. Let x be j(4). Let u be ((-2)\/8)\/(-7 - (1 - x)). Let m be (-2)\/(-5)*(-1)\/(-2). What is the closest to m in 1\/8, 0.3, u?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038605 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2676 - 2*c - 422 - 574 - 565 - 555 - 560 - 49*c**2.\nAnswer: -49*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(29 - 29 - 5*z + (2*z + 0 + 0)*(6 + 4 - 6) - z + 2*z + z) to c + f*z and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3850 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*g - 3*g - 28*g - 48 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 67*a + 431312 + 7*a - 431312.\nAnswer: -2*a**2 - 60*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, r: 4, e: 6, m: 2, v: 1, u: 2}. Give prob of picking 2 k and 1 u.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*r**3 - 65*r**4 + r**2 - 63*r**4 + 5*r + 129*r**4 - 2 - 6*r to the form t*r**2 + p*r**4 + a*r**3 + w*r + y and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 16*z + 17. Let g be r(15). Suppose -5*h + 4100 = 3*w, -h + 808 = 5*w - g*w. Let j = h + -188. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7 and -0.3025688.\nAnswer: -7.3025688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343085.\nAnswer: 5, 59, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -38*y**5 - 40*y**4 + 112*y**3 + 44*y**2 - 74*y - 4 = 0.\nAnswer: -2, -1, -1\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 685 - (0 + (2 - 0)). What are the prime factors of (-10)\/(-45) + 1*s\/9?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + 3*t - 4*t**2 - 3*t**2 + 2*t**2 - 1 to the form c + m*t**2 + s*t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 2, q: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214036515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2694*j + 21672. Determine u(-8).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 - 2*k**4 + 5*k**4 - 9*k**4 - 8*k**4 wrt k?\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379, -763, -1153, -1549, -1951, -2359?\nAnswer: -2773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -61\/4*o**2 - 5\/4*o**3 - 11\/4 - 67\/4*o = 0.\nAnswer: -11, -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**2. Let s(a) = -2*a + 458. Calculate k(s(p)).\nAnswer: 16*p**2 - 7328*p + 839056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + 2*c**2 + 0*c + (-4*c + 4*c - 5*c)*(-3*c + c + c) + 3*c**2 - 5*c**2 + 0*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/7, -0.4, -660?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 747*d**2 + 97859*d + 258. Determine l(-131).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 0.015, 0.3, 1\/11 in descending order.\nAnswer: 3, 0.3, 1\/11, 0.015, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 582006 is divided by 69.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/716 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18258 + 540709. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -u**6\/180 + 19*u**4\/8 - 42*u**2. Let w(h) be the second derivative of y(h). Let d(k) = -30*k. Determine w(d(g)).\nAnswer: 120*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 359*a**2 - 115*a - 19. Is b(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863453\/2 less than or equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 121*g**2 - 3*g - 4. Determine u(-1).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - f + 5*w = 3*f - f - 17, 0 = 79*f + 4*w + 241 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 42 = 210. Let j = -38 + w. Suppose 3*h - 5*v = -17, -j*h + v - 17 = -0*v. Let d(i) = i**2 + 6*i + 2. Calculate d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:03 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = c, 3*z = 2*z. Is (0 + c)*(-659 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/25*(-35)\/(-14)*18\/(23040\/16).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 8:41 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 2*l**4\/3 + 7*l**3\/6 + 22*l**2 - 2*l - 100. What is the remainder when w(-4) is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6 + 3 = 0. Suppose 1 = -k*i + 16. Suppose -5*c + 3*t = 11, 0 + 15 = -5*c + i*t. Let a(z) = -4*z - 1. Give a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(11\/6)*z**(-31))**(-12))**50 assuming z is positive.\nAnswer: z**17500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22386588 to the nearest integer?\nAnswer: 4731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6051, -6059, -6091, -6159, -6275, -6451?\nAnswer: -6699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.6 (b) -0.277 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -4, -20, -817 in ascending order.\nAnswer: -817, -20, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 7*v**2 - 11*v + 5. Let q be c(5). Suppose 5*l - 10*l + 20 = q. Suppose -3*k = -i - 11, -2*i + l = 4*k + 2*i. Solve 4*g - k*g + 3 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 4 + sqrt(2299) + 1 + 3)*2)**2.\nAnswer: 1056*sqrt(19) + 9772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14005 (base 6) in base 10?\nAnswer: -2165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 69246499, 138492998, 207739497, 276985996?\n\"Answer: 69246499*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*d - 508 = -1251, -h = -5*d - 153. Calculate the highest common factor of 518 and h.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*j + o - 24, 2*j - 28 = o. Solve 5*u + 7 = -j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 48 = -3*l, 57 = 4*l + 4*k - 3*k. What is the remainder when 43 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -11. Let s = 40 - p. Calculate the highest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 - 153 + 3*j**2 - 46 + j + 2*j**2 + 76 as m + k*j**2 + c*j and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1455340254 - 3?\nAnswer: 1455340251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 5*r - 198. Give n(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 - 3*l**2 - 5*l - 7. Let g be y(-4). Calculate the highest common factor of 62 and g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*q + 2*j = 2, 5*q + 5 = 5*j. Let d = 1021 - 1021.3. Which is the nearest to -0.4? (a) q (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 4, -4\/7, 37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3))\/(6\/(2304\/(-2624))).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1296979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3062 by -1.\nAnswer: 3062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/10 (b) -16 (c) 0 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3558188 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d - 71 - 28. Let w(h) = h**2 + h - 3. Let o(u) = -5*u**2 - 3*u + 13. Determine d*w(j) - 2*o(j).\nAnswer: j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**2 + 6*s**3 - 2*s**5 + 4*s**4 - 7*s - 7*s + 6*s.\nAnswer: -2*s*(s - 2)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgjjjg. What is prob of picking 2 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 458 - 734. What is the remainder when 206 is divided by t?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/15)\/((-6)\/(-4)*(-3128)\/(-414)).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 7 + 47 = 0. Let l = j - -30. Suppose -2*z - 14 = -5*z + r, -2*z + 2*r + l = 0. Solve -2*i + 0*a = -a + 1, -4*i + 4 = -z*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*t**2 + 2*t**2 + t**2 - t**2 + (t**2 + 2 - 2)*(1 - 4 + 2) - 75*t**2 - t**2 - 5*t**2)*(-1 - t**2 + 1).\nAnswer: 82*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.95827 - -0.04173. Which is the smallest value? (a) x (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 c, and 1 g when three letters picked without replacement from {g: 1, c: 3, n: 6, v: 1, z: 3, m: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1302469 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = -2*o, k = 5*o + 4 - 1. Let p(a) be the third derivative of a**5\/60 + 2*a**3\/3 - 54*a**2. Let x be p(o). Solve -4 = -x*y - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -595*x + 570*x. Let k(p) be the second derivative of 8*p - 1\/2*p**3 + 1\/4*p**x - 3*p**2 + 0. Suppose k(f) = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -705 - 114352?\nAnswer: -114a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.2, 0, -6, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 18?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxox when four letters picked without replacement from {h: 1, p: 1, o: 2, x: 2, r: 2, s: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**3 + 67170*z**2 + 60270099*z + 13803648648 = 0.\nAnswer: -21464, -463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a - 2. Let p(d) = 13*d + 9. Let b(r) = -3*r - 2. Let z(x) = -9*b(x) - 2*p(x). Let f be 10\/(-4)*(-80)\/50. What is f*z(t) + q(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 1, 1096, 0.\nAnswer: -6, 0, 1, 3, 1096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let n(u) = -12*u + 30. Give d(n(h)).\nAnswer: -12*h + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6492 = 4*c. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 3*q**2 - 1. Let w be x(-2). Let i be -1 - (-25 + 6\/w). Let o(f) = f - 1. Let g(s) = 9*s + s + s - 12 + s. What is i*o(j) - 2*g(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 30282162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -5*d - 3*u, -5 = 4*u + 3. Suppose r = 5*n - 291, -5*n + 4*r + d + 223 = 0. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2300 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15252 and 16.\nAnswer: 61008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**2 + 1. Let z be (1 - 0) + 0 - -3. What is the hundreds digit of w(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 16*w**2 - 36*w + 62. Let f be y(18). Suppose 0 = f*z - 15*z - 13912. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48 - -7588)\/(-3 + 4). What is the greatest common factor of 232 and b?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p + 29. Let k be t(12). What is the greatest common divisor of k and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, -3429797 in descending order.\nAnswer: -2, -13, -3429797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.089659022 (b) -1\/8 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 19*w**2 + 261*w - 240. Let t be u(28). Solve -4*j + 13*i - t*i - 17 = 0, j - 12 = -3*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.52 (b) -204 (c) -278\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5*p - 196, -3*p + 540 = 22*z - 19*z. Suppose z + 104 = 20*v. Calculate the lowest common multiple of 6 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 + 162 = 10*r. Suppose z - j - r = j, 0 = 4*j. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.9 - -3.4. What is the third smallest value in -0.2, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and -12549047466.\nAnswer: -12549047466.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 96071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30 - 555?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5172250 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 174482*t - 174656*t + 518 + 4528 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 + (-36)\/(-16). Suppose 4 + 1 = -5*n, 0 = 4*k + c*n + 30. What is the units digit of ((-2)\/(-4))\/(k\/(-322))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -8*n**5 + 37*n**2\/2 - 25. Find the second derivative of t(u) wrt u.\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q\/q**8)**(4\/23)*(q*q**(-3\/11)*q*q**(-5\/3)\/q)**(-1\/3) assuming q is positive.\nAnswer: q**(-1663\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1\/2, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 448\/(-1496) - (-4)\/34. Let i = -60 + 59.5. Which is the biggest value? (a) -0.2 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2754836 or -2754824?\nAnswer: -2754836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*d + 15 = -74*d. Put -1, -4\/7, d, 1\/2 in decreasing order.\nAnswer: d, 1\/2, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-8)*(-1)\/((-483)\/(-28)). Let j = 189\/230 + t. Which is the biggest value? (a) 6 (b) 0.2 (c) j (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 4 - 6)*(-6*m**3 + 14*m**3 + m**3) + (m**2 + 2*m**2 - m**2)*(-3 + 3 - m) to the form n*m**3 + d + g*m + w*m**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 2. Suppose -g = 0, -3*f - 2*g - 385 = -13. Let r = f - -122. Let q(s) = 4*s + 3. Give r*q(x) + 5*c(x).\nAnswer: 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77891 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*2*sqrt(2450)*6)\/((sqrt(10) - sqrt(120)\/sqrt(300)) + sqrt(1440)))**2.\nAnswer: 1378125\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 102882*g + 442*g**2 - 102882*g. Let q(f) = 33*f**2. Give c(q(p)).\nAnswer: 481338*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1122 + 31144?\nAnswer: 32321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -13. What is the remainder when 74 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -97, 1585, -19 in increasing order.\nAnswer: -97, -19, -1, 1585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 368 + -365. Factor 0 + 0*z**2 + 2\/7*z**v - 2\/7*z.\nAnswer: 2*z*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*h = -0*k + 55, 5*k - 105 = h. Suppose -65 + k = -5*b. What is the lowest common multiple of b and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j - 4. Let g(m) = -16*m + 6. What is 5*g(p) + 7*z(p)?\nAnswer: -3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 217050, -1028 in ascending order.\nAnswer: -1028, -1, 217050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3508305124 to the nearest integer?\nAnswer: 59231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32348 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 45*m**2 - 3*m - 41*m**2 + 7 - 2*m. Does 5 divide v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1861191811 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4008 and 60609477.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -0.08, 2 in decreasing order.\nAnswer: 2, -0.08, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 21*v - 109. Determine m(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1520 and -635239044.\nAnswer: -635240564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 8, 0*u = 4*u - 4*c - 20. Solve u = o - 4*f, -5*o - 9 = -8*o + 3*f for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 86, 148, 222?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/((-2)\/9). Suppose -112 = c + x*c. Let n = -17 - c. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.5 (b) -868 (c) -4 (d) 37 (e) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 687384.\nAnswer: 2, 3, 9547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 338772 divided by 654?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m**2 - 3 + 0*m - 1\/27*m**6 + 0*m**5 - 4\/27*m**3 + 1\/6*m**4. Suppose d(f) = 0. Calculate f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 s when three letters picked without replacement from shsddhuagds.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12595*h*n**3 - 11215*n**3 wrt h.\nAnswer: 12595*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1180883\/333 + 406\/37. Let z = 3540 + d. Calculate the common denominator of -131\/18 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/2)\/(1\/2). Let z = 28 - q. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-7 + 403 - 1). Let b = -389 + w. Solve c - 3*i = -5*i - 7, -i = c + b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1457081.5 and 6748.447.\nAnswer: -1450333.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2637724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3551.54um in meters?\nAnswer: 0.00355154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 + 6*v**2 - 5*v - 4. Let z(d) = -12*d**3 + 26*d**2 - 21*d - 17. Give 26*f(x) - 6*z(x).\nAnswer: -6*x**3 - 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -49824129 equal to -49824133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 512349\/34 + -15072. Find the common denominator of s and 97\/14.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + x = -25, b = x + 3593 - 3588 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 4, 1218, -98 in decreasing order.\nAnswer: 1218, 4, 2, -2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i - 2 = -41*i. Which is bigger: -3\/17 or i?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 55, 22, -11, -44, -77, -110?\n\"Answer: -33*m + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + m. Suppose 4*a = 2*a + 2. Calculate j(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -406.35 + 435. Let p = s + -29. What is p rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p - 1. Determine x(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2))\/c)**(-25) assuming c is positive.\nAnswer: c**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 2*o**2 + 2*o**2)*(-1 - 3 + 5 + (-2 + 3 + 1)*(2 + 3 - 3)).\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - 0.5. Which is the nearest to t? (a) 5 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2162 - 4315\/2. Let n(r) be the first derivative of 11 + 0*r**3 + 3\/4*r**4 + 0*r - o*r**2. What is the second derivative of n(g) wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 11, 1109.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*6*3\/(-6). Let h = -5 + v. Let n be (-69)\/(-21) - 4\/14. Put n, 5, h in increasing order.\nAnswer: h, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1915216 and 3830432?\nAnswer: 3830432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100011101000100111 (base 2) to base 11.\nAnswer: 259683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -700, -1543, -2504, -3583, -4780, -6095?\nAnswer: -7528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231.3 + 266.465254487.\nAnswer: 35.165254487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 2600506.\nAnswer: -5\/2600506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(20\/(-8)*2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**3 + 5824*z**2 + 7004*z - 9296. Give u(1166).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-3 + (31 + -25 - (-1 - -1))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/9383 and 81\/7084?\nAnswer: 6042652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 80)*(-6)\/144*8. Solve n*q + 22 = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053843 rounded to 7 decimal places?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-10))\/2)\/(6786\/(-486330))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 5*d - 5*o, -3*o = -5*d + o + 251. Let n = d - 51. Solve 4*t + 0*t = n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -21 + 7 + 14 - 5*r**2. Let b(w) be the second derivative of -w**4\/6 + 7*w**3\/3 + 1014*w. Give p(b(q)).\nAnswer: -20*q**4 + 280*q**3 - 980*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 340 and 1.2.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*o**3 + 42*o**2 + 258*o**2 - 300*o**2.\nAnswer: -414*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**5\/5 + 7*k**4\/3 + 2*k**3\/3 - 14*k**2 + 8*k - 21. Let o(w) be the first derivative of g(w). Find r, given that o(r) = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/123438 and 23\/88170.\nAnswer: 617190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((-25110)\/330 - -61)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.35, 2, -52.\nAnswer: -52, 0.35, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k. Let u(p) be the second derivative of p**3\/6 - 31*p**2\/2 - 72*p - 3. Determine i(u(b)).\nAnswer: b - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 416882232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -91, 0.1, -5, -0.1875, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1872731*k**5 + 86*k**2 - 535*k + 20.\nAnswer: -112363860*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 185180158.8 nanoseconds?\nAnswer: 0.000000306184125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from zuzuzzrkk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/20 - 1608\/(-720). Factor -1\/3*k**4 + b*k**3 + 0 + 3*k - 5*k**2.\nAnswer: -k*(k - 3)**2*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 97.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1563\nAnswer: 3126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.5 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 4, p: 5, i: 10}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1026\/(-36) + (-1)\/(-2). Round q to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -55?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6766534 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -34*d - 891. Let w(b) = -4*b + 4. What is the remainder when t(-29) is divided by w(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/3 + 9 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5\/9 - 908*h**4\/3 - 789146*h**3\/9 + 32598680*h**2\/3 + 198726904*h\/9 = 0 for h.\nAnswer: -727, -2, 0, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 51?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 2, 18, -0.4, 4 in increasing order.\nAnswer: -0.4, 1\/3, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 2*j**2 + j**2)*(j - 1 + 1) + (0*j**3 - 3*j**3 + 2*j**3)*(-4 + 0 + 3) - 200*j**3 - 2569*j + 2569*j + (6*j**3 - 2*j**3 - 3*j**3)*(-1 - 1 + 1).\nAnswer: -199*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o - 4. Let q be n(-2). Suppose -2*z + 0*a - 2*a = -8, q = -z + a. Solve 3*h = -0*h + 3*f - 6, -z = 2*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -10\/113, 5?\nAnswer: -10\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -5. Let g = 887 + -889.992. Let k = i - g. Round k to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7985\/7 + -104410\/91. Let g = -46\/7 - m. Let k = 0.14 - 0.14. Which is the third biggest value? (a) 3 (b) k (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/4334 and 1\/985.\nAnswer: 21670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/265 (c) -1.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 37*p**3 - p**2 - 28*p - 28. What is g(-1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3238 + a**2 - 14*a - 3163 + 0*a**2. Calculate the remainder when r(15) is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 8. Suppose 6*s + 10 = 7*s. What is the least common multiple of s and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*u, 0 = -2*u + h - 0*h. Suppose 49*l - 50*l + 3 = u. Solve 0 = -l*x + 3*q - 8*q - 14, 10 = -2*x - 4*q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 35354?\nAnswer: -35354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4\/5, -3, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1762750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38464, 78101, 117738, 157375?\n\"Answer: 39637*k - 1173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 380 + (-6)\/(-15) + 4\/(-10). Suppose -p = u - 5*u. List the prime factors of u.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5438*z**2 + 3375*z.\nAnswer: 10876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 3. Let h(z) = 2 - 4 - z + 3. Suppose 1042 = -57*b + 10*b + 1183. Determine b*g(j) + 7*h(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k + 15 = -2*j, -4*k = -5*j - 34. Let x(b) = -6*b**3 + 6*b**2 - 5*b + 3. Let r(o) = 7*o**3 - 7*o**2 + 6*o - 4. Determine j*x(s) - 5*r(s).\nAnswer: s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 10 = 5*v, v - 43 = -y. Suppose -2*n = -3*n + y. Let r = 0 + 10. What is the greatest common factor of n and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207014.1 rounded to the nearest 100?\nAnswer: 207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031 (base 4) in base 11?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997157359.\nAnswer: 11, 199, 455531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2 + sqrt(5))**2 + 5*(3*sqrt(5) + sqrt(5)).\nAnswer: 14 + 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4565\/2 - 2282. Let t(k) be the third derivative of 3\/40*k**6 + 0 + 0*k**3 - u*k**4 - 1\/70*k**7 + 7*k**2 + 0*k + 0*k**5. Find q such that t(q) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**3 + 33*p**2 + 59*p + 16. Calculate w(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(1\/4)*m*m)\/(m*m**(2\/13)))**(-12) assuming m is positive.\nAnswer: m**(-249\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 21530*i - 43057. What is m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9)*21\/(-2). Let l be 2*2\/((-8)\/(-506)). Suppose -v*f + l = -1308. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 728 = -20*x + 20*x. Calculate the remainder when 266 is divided by x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231110 (base 4) in base 11?\nAnswer: 21a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*w + 13 = 0, 12*z + 13 = 10*z - 3*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 7 + 11. Calculate the remainder when 4\/10 + (-256)\/(-10) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*c - 6, -2*b = 2*b + 5*c - 31. What is the remainder when 15 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 6) to base 10\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.4 - -0.4. Let i = -3.5 + 3. Let o = -1.5 - i. Put o, f, 0.3 in descending order.\nAnswer: 0.3, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -2) + -120 + 31 - (45 + -59)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.0648.\nAnswer: -0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1418*q**2*v**2 + 28*q**2 + v - 3 wrt v.\nAnswer: 2836*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 16\/32*-347*(2 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 1:48 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 2\/29, 1\/2, 2\/5, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 5*a**2 - 5*a + 1. Let f be y(-4). Let r be 1 - 1\/(f + -4). Suppose r = -13*l + 9*l + 88. Calculate the lowest common multiple of 4 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2 - 2*t + 3*t + 0 + 4. Let c be g(5). Let l = c - 10. Which is bigger: l or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162239499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + sqrt(242) + -4 + 5)*-6 + -2)**2.\nAnswer: -1320*sqrt(2) + 8812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**3 + 5*g**2 + 7*g + 5. Let n(r) = 9*r**3 + 4*r**2 + 7*r + 4. Let a(m) = -5*n(m) + 4*q(m). Find the second derivative of a(t) wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 5 - 5)*(489*n**4 - 2415*n**4 + 116*n**4).\nAnswer: 1810*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 5\/144*w**6 - 2\/315*w**7 - 19\/180*w**5 + 115*w**2 + 0*w + 0 + 1\/2016*w**8 - 2\/9*w**3 + 7\/36*w**4. Find z such that a(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360572161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 51*c**5\/10 + 97*c**2\/2 - 161*c + 17. Let q(s) be the first derivative of t(s). Differentiate q(i) wrt i.\nAnswer: 306*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 58406.3 centuries?\nAnswer: 70087560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a factor of 1172070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -64*a - 42. Let d be c(1). Let r be (-261)\/2 + 4\/8. Let f = d - r. Calculate the lowest common multiple of 12 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:16 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 465813504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3560 + -3552. Let a be 2*(-3)\/(-2*3). Suppose 0 = -s + 2 + a. Solve 2*u + w = -2*z, -s - 2 = 2*z - u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + 283*h + 627. Give n(-92).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4758882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooorryjyoooo. What is prob of picking 2 y and 2 r?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**3 - 755*q**2 - 26230*q - 25480 = 0?\nAnswer: -98, -52, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 10, u - 4 = b - 2*b. Let m be (6\/u)\/(-2 + 14\/2). Which is smaller: 0.7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 5 + 5)*(148 - 148 + 3*z)*((-11 + 9 - 4)*(-2 + 5 - 1) - 1 + 2 - 2) + 3*z**3 + z**3 - 5*z**3 + (0*z - 2*z + 4*z)*(-4*z**2 + z**2 + z**2).\nAnswer: 34*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10466253?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 5) in base 8?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 3. Let s(t) = 3197. Let g(n) = -21180. Let a(h) = 8*g(h) + 53*s(h). Let r(i) = -2*i + 2. Determine k*r(c) + 6*a(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1797.187km?\nAnswer: 1797187000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 16 + 4. Suppose -4*p - 15 = -63. Suppose -4*a - 4*n = -24, n - p = -3*a + 6. Solve -f*h = -t - 0*h + 18, 0 = 5*t + h - a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h**3\/3 + 53108*h**2\/9 + 211754*h\/3 - 11928 = 0 for h.\nAnswer: -12, 1\/6, 4473\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - b + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 8 - 38 = 0. Let k = -6 + b. Suppose -5*o + 20 = -k*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-276)\/161)\/(4\/(-98))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56898?\nAnswer: 2, 3, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 times 62077?\nAnswer: 12601631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 312.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -2808, -7001, -12868, -20409, -29624?\nAnswer: -40513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2, -1, -87, 5.\nAnswer: -87, -2, -1, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250 + 240.02. What is z rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 52*x**2 + 4*x - 52. Let c(a) = -51*a**2 - 4*a + 53. Let y(u) = -7*c(u) - 6*d(u). Is y(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1021614850 to the nearest one hundred thousand.\nAnswer: -1021600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 882 and -93.\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 136, 138, 140, 142?\n\"Answer: 2*q + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*i**2 - 48*i**2 + 24*i**2 + (2*i + i - 4*i)*(-2*i + 1 - 1) as c*i + p + r*i**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -870 (b) 1\/50 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1101000011 (base 2) to base 13\nAnswer: 4c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*q**2 + 21*q**2 + 30*q**2 - 356*q**2.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -222691532*o**4 - 1137391*o wrt o.\nAnswer: -2672298384*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 252083.8099842 + -252092.81. Let t = -9 - a. Round t to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + 0*((-5)\/3 + 2). Let x be (2\/v*3 + 0)*5. Suppose -2*p - x*p = -392. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1197\/410 - 32\/41. Find the common denominator of 29\/164 and u.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p + 8. Let k(o) = -1 + 1 - 3 + o + 4. Calculate -c(x) + 5*k(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.19 and -1.1?\nAnswer: -3.509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-79 - -82 - (-56 + (-7 - 2))).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*y + 4. Let x = -3 + y. Differentiate -1 + 1 - x - m with respect to m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (0 + 7 - 1). Let i be ((-32)\/(-24))\/(1 - (-3)\/(-9)). Solve -2 = -i*p + h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 773 - 1551 + 778 - 539*q in the form w*q + a and give w.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g - 818 - 100 = 0. Suppose g*j - 49*j = 0. Solve -s + 15 = -5*i, 3 = -j*i - i + s for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -339.3562035 take away 2?\nAnswer: -341.3562035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.2, 4, 710, -0.14?\nAnswer: 710","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 17. Solve -u = o + 4*v, -2*o + 0*v + 6 = -2*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 i when three letters picked without replacement from ueeeeeeeeeeieiei?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 435241279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from mppmmpp?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20467 + -20478. Which is the nearest to 2? (a) q (b) 3\/2 (c) 191\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2740 and 8357?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1848 and 219792496?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007131 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 76\/18 + -3*(-6)\/(-81). Find the second derivative of -c**4 + 17*c - y*c - 26*c**4 + 7*c wrt c.\nAnswer: -324*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 7, q: 8}. Give prob of sequence nn.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/31)\/q**(-6))**7\/((q\/(q\/(q*q*(q\/((q**0*q)\/q)*q*q*q)\/q)))**10\/(q**0)**(1\/6)) assuming q is positive.\nAnswer: q**(-234\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 21. Suppose -u = 2*q - 2. List the prime factors of q*1\/(-3) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0908 and -143.72?\nAnswer: 13.049776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4104\/192)\/57*56\/(-98).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Is 346 a factor of 875484146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/108 and (-20 + -1)\/((-264)\/(-88)) + 8367\/1188.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 - (24 - (18 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11796 + 11795.9. Let z = -2.41 + 2.3. Let b = -1.29 + z. Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157042331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*i - 16 = 0, 0 = -5*k + 2*k + 3*i + 12. Suppose -k*v + 5*v = -15. Calculate the remainder when 73 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 640*o + 77. Let u be d(7). Let i = u + -2398. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -815987, -815990, -815995, -816002?\nAnswer: -816011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9820 - 9823. Sort -1, -0.6, -2\/15, a, 4 in descending order.\nAnswer: 4, -2\/15, -0.6, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/j**1)\/j))**(4\/11))**(4\/23)\/(j**3\/j**2*(j\/j**(-1))**(-3\/14)) assuming j is positive.\nAnswer: j**(-788\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 840149969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 = -7*t + 3*t. Let f be 0 + t\/(-12) + 5. Which is the closest to f? (a) 5 (b) -0.2 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 9:31 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 1\/90*s**5 + 1\/27*s**3 - 1\/27*s**4 + 0*s**2 + s + 0. Factor l(j).\nAnswer: 2*j*(j - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 6:30 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l - 11*l**2 - 7\/6*l**3 + 0 + 1\/6*l**4 + 7\/60*l**5. List the prime factors of m(-4).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139035413 by 121.\nAnswer: -1149053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxcj when four letters picked without replacement from {x: 2, c: 1, m: 7, v: 3, j: 3}.\nAnswer: 1\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*b - 525, 290 = -4*s + 5*s - 3*b. Suppose -q - 5*y + s = -4*y, -2*y - 542 = -2*q. What are the prime factors of q?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-70)\/21)\/2*(-84)\/2. What are the prime factors of j - (-3)\/((-15)\/25)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4198467\/5*r - 7098\/5*r**2 + 3\/5*r**3 + 0.\nAnswer: 3*r*(r - 1183)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 11*n**2 - 20*n - 171. Give m(-10).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -511*z + 26. Is s(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2458712 is divided by 178.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 17*r + 28 = 0. Let s = 16 - r. Let u(b) = -b**2 - 10*b**2 + 4*b**s. Let y(k) = 2*k**2. Calculate y(u(t)).\nAnswer: 98*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(612) + 2 + 2*(sqrt(612) - (sqrt(612) + sqrt(612) + sqrt(612)*1)))**2.\nAnswer: -48*sqrt(17) + 2452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((4 - -1) + (49 - 47))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*n - 2*n + 7*n)*(4*n + 4*n - n)*(-1 + n + 1).\nAnswer: 168*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 856 + -829. Suppose r*k = 107510 + 102307. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/7, -0.1, 275, 0.08?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9500 + -1?\nAnswer: 94aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - 4 + 4)*(0*z + 0*z - z) + (44*z + 10066 - 10066)*(-2*z - 2*z - 4*z) to t*z**2 + r + u*z and give t.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2125720 is divided by 426.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.45 - -0.45. Let v = -3.2 - -4.5. Which is smaller: b or v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 - 46*x\/9 + 40\/3.\nAnswer: 2*(x - 20)*(x - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212140.\nAnswer: 2, 5, 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 597.4 + -214.4. Is -2 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10 - 5)*(2 + 1 - 2). Let x(c) = -c**3 + 5*c**2 + 2*c - 4. What is x(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiee when four letters picked without replacement from {i: 1, e: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {z: 2, m: 1, v: 1, w: 1, p: 1, x: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5103) - (-3 + 0 + sqrt(5103) + sqrt(5103))) + ((sqrt(567) + -1 - sqrt(567))**2 - sqrt(567) - ((-2*sqrt(343))**2 - sqrt(343))).\nAnswer: -1370 - 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w - 2, -3*w = -4*f + 24. Let j = -22 + 15. Let o be (-2)\/j + (-198)\/(-42). Solve -o*y = -f*x - 2*x + 5, -2*y + 10 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0*p + 0 - 5\/54*p**4 - 7\/135*p**5 - 4*p**2 + 4\/27*p**3. Solve y(o) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -24. What are the prime factors of 4368\/p + 1 + (-14)\/18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556990 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: What is -951414 rounded to the nearest ten thousand?\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 789, 1596, 2389, 3162, 3909, 4624?\n\"Answer: -q**3 - q**2 + 817*q - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 10:42 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 1273.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183923 + 2*w**2 - 183923.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 262 (b) 3 (c) -1.4 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-5))\/((-2)\/15). Suppose -11 = v - z. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(-23)\/((h\/h**(3\/7)*h)\/h*h**(2\/7)))\/((h\/(((h**(-1\/2)\/h)\/h)\/h))**(-9\/11)*(h**0)**(-4\/3)) assuming h is positive.\nAnswer: h**(435\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2912)\/(-292) + (-1690)\/(-61685).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) - -5*sqrt(504))\/(sqrt(10)\/(sqrt(5)*1) + sqrt(2)) + -2)**2.\nAnswer: -72*sqrt(7) + 2272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 952475057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 20 (b) -50 (c) -1\/6 (d) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2241*a**3 + 1510429*a**2 + 254504759*a - 567845 = 0 for a.\nAnswer: -337, 5\/2241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4 + 9*v + 4 - 7. Let k(g) = 13*g - 10. Let p be (-2)\/(-1)*(-42)\/12. What is p*f(l) + 5*k(l)?\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3.89 (b) 1\/12 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1011100111 (base 2) to base 9\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4.3. Let a = -80200\/23 + 3487. Which is greater: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13889*o**3 + 27685*o**3 - 14122*o**3.\nAnswer: -326*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 6*u**3 - u**3 + 3 - 11*u**2 - 4*u**3 + 5*u**3 as c*u + y*u**3 + m*u**2 + h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l. Suppose -3*w + 1 + 11 = l. Solve 0 = 3*q - 4*y + w, -3*q + 8*q = -3*y - 26 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.5. Let b = -51 + 51.54. Let z = b - 0.24. What is the second smallest value in h, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-11)*1)\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27719690 and -1.\nAnswer: 27719690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * -485974.\nAnswer: 77755.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5880 and 9373700.\nAnswer: 56242200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*m**4 - 18*m + 10*m**4 + 13*m**4 + (48 + 34 - 47)*(12*m**4 - 3*m**4 + 0*m**4) in the form p*m**4 + w + q*m**2 + k*m**3 + n*m and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -111*j**5 + j - 91.\nAnswer: -2220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**5*j)\/j**(-1\/6)*(j*j**(3\/2))\/j*j**(-7))\/((j**5\/j)**(-5\/2))**(-3\/16) assuming j is positive.\nAnswer: j**(-245\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10000 - e19?\nAnswer: e0d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 149*l**2 - 3 - 1357*l**2 - 3623*l**2.\nAnswer: -5129*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3263\/(-2) + 7\/(42\/18). Let s = 1584 + w. Find the common denominator of 3\/5 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -8 (c) 1\/3 (d) -0.081\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 3*m**4 + m**3 - 5*m + 0*m**4 + 0*m + 4*m**4 to c*m**2 + g*m**3 + v*m + b + r*m**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 12. Let w be j(9). Solve 2*b + w*v = 8*v, -4*b = -4*v + 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**2 + 0 - 1\/24*p**4 + p + 5\/6*p**3. Let b(t) be the first derivative of g(t). Let a(o) = 1. What is -3*a(h) + b(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 3 (c) -1\/8 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -311, -722, -1287, -2000, -2855, -3846, -4967?\nAnswer: -6212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 121.18 and 1\/24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b**3*t**3 - 2861*b**3*v - 120*b**2*t**3 - 22*b**2*t**2 + b*t**2*v - 2*t**2*v wrt b?\nAnswer: -48*t**3 - 17166*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223971\/6977 greater than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*d + 89, 3*d - f - 181 = -6*f. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b**3 - 28*b**3 + 85*b**3 - 3*b**3 - 27*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (5 + -1) - (5 - (-1 - -3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19037, 38135, 57243, 76355, 95465?\nAnswer: 114567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -19. Find the third derivative of -5*h**2 - h**2 - q*h**3 - 2*h**2 wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 256 - 5?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 d, and 1 k when three letters picked without replacement from {c: 1, k: 4, d: 8, v: 1, s: 4, u: 2}?\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2546 + -0.215. Let d = 767.969 - 768. Let g = r + d. What is g rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 + 12 - (2 + (-6 - (-1 - 13)))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 868676165 to the nearest integer?\nAnswer: 954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16110 and 167655?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + (7 - -2))*491\/2. Let t = n + -484. What is the greatest common divisor of 4 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 v when three letters picked without replacement from mijnjmv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*o*y - 23*o + 67*y wrt o?\nAnswer: 4*y - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 7*o**2 - 9*o + 13. Let q be m(8). Let a be 2\/(-2) + 1*q. Solve r = -a*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 148428 and 2626351.\nAnswer: 4123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 25*w**2 + 14*w - 24. What is the tens digit of g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w - 20. Let c = -5 + w. Suppose 0 = -3*t + 3*m - 7*m + 981, 5*t - c*m = 1670. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -o + 95. Suppose 0 = 3*p - p + 5*y - 223, -5*y - o = -p. What is the remainder when p is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1943*i**4 - 985*i**4 - 1011*i**4)*(i - i + 2*i) + (4 - 4 - 2*i**5)*(2 + 2 - 5) - 4*i**3 - 46*i**2 + 46*i**2 - i**5.\nAnswer: -105*i**5 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -171.9 + 173.107. What is m rounded to 2 dps?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s - 2, 5*s = -4*u + 13. Suppose -293 = y - u*y. Suppose 0 = -11*k + 12*k - y. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 672 and 8.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2. Let d(i) = 26*i + 6. Give u(d(p)).\nAnswer: 2704*p**2 + 1248*p + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*g + 16 = -2*y, 3*y = -2*g + 19. Suppose -24556 = y*a - 11*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 7*d + 585 = 0. Let g = -243 + 256. What is the greatest common factor of d and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.115 + 0.04359309495\nAnswer: -0.07140690505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(2\/37)))\/((p**(-7\/3)\/p)\/p)*(p*p**0*p)**(-33) assuming p is positive.\nAnswer: p**(-6851\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/4*2*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6126*o - 11086*o + 3043*o)*(0 + 1 + 0)*(30*o - 23*o + 3 - 2) as d*o**2 + h + x*o and give x.\nAnswer: -14169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((r\/(r**6*r))\/r)\/r*r)\/r)**(-1\/51)\/(r**(2\/19)*r**(-34)))**(-17) assuming r is positive.\nAnswer: r**(-32996\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*j**4*l + j**4 + j**3*l + 53*j**2*l - 32*j*l wrt j.\nAnswer: -984*j*l + 24*j + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92950 is divided by 30274?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110011 + -10?\nAnswer: -1001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/(2\/(-1*16))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 28. Let z(d) = -2*d**2 + d - 1. Let u(v) = -v**3 + 17*v**2 - 3*v - 10. Let g(y) = -u(y) - 3*z(y). What are the prime factors of g(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 13*o**2 - 6*o + 5. Let y be (16\/12 + -1)*-33 + 1. Is 45 a factor of x(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2251592514?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 89 = 11. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1977 - 0.2977. What is the biggest value in 1\/2, 50, n, 0.1?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, m: 3, t: 1, n: 2, s: 3, k: 3}. Give prob of picking 2 m.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8430 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-3)\/(-2)*(200\/(-24) - -7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2851 divided by 205\nAnswer: 2851\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 0 - 5\/2*t**2 + 1\/2*t**3 - t. What is the units digit of m(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 7 = m. Solve 2*j = j - m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/5196750 and -74\/819.\nAnswer: 109131750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**4\/6 + 4*x**3\/3 - x**2 - 3*x. Is q(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huhhwuuuuuuuwuu. What is prob of picking 2 h and 1 u?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1365 (base 14) in base 4?\nAnswer: 311131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*h - 4 = 2*k, h + 4 = k. Let p = 0 + 3. Find the third derivative of 15*l**2 - 8*l**3 - 14*l**k + l**3 + 0*l**p wrt l.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4144 and 4252262?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 + 3600*k**3 - 844560*k**2 + 63987840*k.\nAnswer: -5*k*(k - 276)**2*(k - 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Let s = 4 - r. Let v = 0.2 - 0.3. Which is the closest to v? (a) 4 (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -d7?\nAnswer: d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/5))**37)**(-44)\/(((q\/(q**(-2\/9)\/q))\/q)**(-6))**(-11\/3) assuming q is positive.\nAnswer: q**(42746\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618818137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/4*(-23 - -19). Sort 4, -5, z in ascending order.\nAnswer: -5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - d - 1. Let s be b(-1). Suppose 0 = s*v + o - 1, 3*o + 23 - 8 = 0. Let f(u) = 2*u. What is the units digit of f(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d**2 - d. Let t(b) = -3*b - 1. Let a be t(-2). Let k = a - 4. What is the least common multiple of 12 and j(k)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 1:47 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 15. Let h be 1 + o\/3 + -3. What is the lowest common multiple of 9 and -10*((-8)\/(-10))\/h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 628*y + 9. Let f be b(1). Suppose -4*k - 622 = -a + f, -2*k = a + 625. Is -314 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)*i**(-1\/13))\/(i**(-8)\/(i\/(i*i**(-1))))*(i**(-2)\/i**(-5))**12 assuming i is positive.\nAnswer: i**(480\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, o: 1, i: 6}. Give prob of sequence woiw.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.73191 to 2 decimal places.\nAnswer: 15.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -63 + 89. Let t = n - 12. Let s = 15 - t. Which is the second smallest value? (a) s (b) -2\/13 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -7. Suppose 0*m + c*m = 0. Suppose -k + 47 = -m*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 6*z**2 - 4*z. Let p be o(-5). Sort -0.1, -1, -1.6, p in increasing order.\nAnswer: p, -1.6, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 9:39 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 + 2*q**3 - 2*q**2 + (-q + 19 - 19)*(-8*q**2 + 16*q**2 - 51*q**2).\nAnswer: 45*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/7))**(-3\/8))**(2\/11) assuming q is positive.\nAnswer: q**(3\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37845 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.95 - 0.05. Let y = m + 2.5. Let g be ((-8910)\/200)\/33 + ((-12)\/(-16))\/1. Which is the fourth smallest value? (a) g (b) 2\/5 (c) -0.3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 9:11 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36\/12565 or -12?\nAnswer: -36\/12565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -9, -35, -71, -117, -173, -239?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5 - 310827*l**4 - 648*l**3 + 67133448*l**2 + 537097392*l + 1208495376 = 0.\nAnswer: -6, 18, 103609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 8036864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 712873 to the power of 1\/2, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30546\/15 + -6 + 12\/20. Suppose -56*c = -53*c - k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -2*k + 2360, 2*o - 5*k - 944 = -0*k. What is the remainder when o is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4885 - -4884. Let t = 5 + -8. Let i = t - -3.3. What is the nearest to m in 0.5, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-45)\/5*(265\/930)\/53)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 23 + 15 = i, i + 3 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -816 - -797. What is the smallest value in 0.5, n, -2, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126712 divided by 8?\nAnswer: 15839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12221 (base 3) to base 4.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -213?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from {e: 6, o: 7, q: 3, g: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-16)\/(-3))\/((-7)\/(-525)). Round f to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144004 + -0.02\nAnswer: 144003.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5748.5*0.01.\nAnswer: 57.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**7\/21 + 4*s**6\/15 + 3*s**5\/10 - 2*s**4\/3 - 4*s**3\/3 - 55*s + 14. Let b(f) be the first derivative of u(f). Factor b(m).\nAnswer: 2*m*(m - 1)*(m + 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3460.102 nanoseconds?\nAnswer: 3.460102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 39*a**2 - 206945628*a + 31837788 = 0. What is a?\nAnswer: 2\/13, 5306298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(160))\/((sqrt(50) + sqrt(2))*-1).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 27 = -0*g - 3*o, -5*o - 20 = -g. Let r be 7 - 3*(-3)\/(-9). Let m = g + r. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1 + 4*t + 5*t + t. Let j be o(1). Let r(d) = d - 5. Let a be r(j). Solve -10 = b + a*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**3 + 5*l**3 + 0*l**3)*(4*l + l + l) + (-l**3 + l**2 - l**2)*(2*l + 0 + 0) in the form q*l**4 + i*l**3 + v*l**2 + k + z*l and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 9*w + 9 as u + p*w and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524171 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171241 is divided by 5351?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + 0*a)*(3 + 2 - 3)*(5 - 1 - 2)*(18 - 4 - 10)*(-a**4 - a**3 + a**3).\nAnswer: 48*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(4\/(-6328)*-7). Let n = m - 218. Calculate the highest common divisor of 132 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3 - 362021*c**2 + 830*c + 518 wrt c?\nAnswer: 6*c - 724042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*v - 0. Let f(u) = -u**3 - 14*u**2 - u - 12. Calculate the remainder when ((-5)\/2)\/(v\/(-2)) is divided by f(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 8*y - 10. Let r be d(4). Solve -l = -r + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3*sqrt(17))**2 - (0 + sqrt(2057)).\nAnswer: -35*sqrt(17) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -120\/5401 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 2. Suppose 8*d + 93 = 77. Calculate l(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jujjuqahjqjqujjqjah. Give prob of sequence jhjq.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/6*-3*0. Let p = 0 - g. Let s = 6 + -8. Which is smaller: p or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7))**(31\/2)*(o\/((o*(o\/(o*o**0\/o))\/o)\/o))**(2\/9) assuming o is positive.\nAnswer: o**(293\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 115. Let t = y + -40.9288. Let d = t - 35.9712. Round d to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -25*c - 266 + 157 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 381149 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 119193199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of l**6\/1800 - l**5\/300 + 11*l**3\/2 - l**2 + 89*l. Let a(k) be the second derivative of o(k). Suppose a(g) = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 102014.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 1\/(-1)*-2. Suppose 27 - 9 = x*s - 2*t, -3*t - 10 = s. Suppose o - 8 = -3*o. Do o and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57501417 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (-27 - -71)) + 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1\/3)*u**(-3)*u**(-2\/5)*u**(-6\/11) assuming u is positive.\nAnswer: u**(-706\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4702.445t to milligrams.\nAnswer: 4702445000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5905, -5904, -5903, -5902?\nAnswer: -5901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 - 23819 - m**2 + 23819 + 19*m to the form r*m + i + v*m**3 + u*m**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 3\/4, -2, -3.3, -0.104, 1 in decreasing order.\nAnswer: 1, 3\/4, 2\/15, -0.104, -2, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.031 * 719.\nAnswer: -22.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7083880 and 51125?\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -386 - -572. Let l = 413\/2 - o. What is the common denominator of (-722)\/(-180) + 2\/(-5) and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/(33\/(-2970)*10)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -196*n**4 - 665*n**3 - 345*n**2 + 377*n - 71. Let m(l) = -98*l**4 - 333*l**3 - 173*l**2 + 189*l - 35. Let t(v) = -6*f(v) + 14*m(v). Factor t(u).\nAnswer: -4*(u + 2)**2*(7*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -451*37\/(-1628)*(-9)\/((-45)\/(-20))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 1. Let m(j) = 3 - 3 - k*j + 1 + 2*j. Let z(q) = -4*q + 2. Let f = 1 - 8. Give f*m(u) + 3*z(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**4\/10 + 1789*p**3\/10 - 296827*p**2\/10 + 581111*p\/10 + 439863\/5 = 0.\nAnswer: -1942, -1, 3, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*m = 195*m + 1748. Let y = 814 - m. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 60751.7.\nAnswer: 60753.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 7. Let r be (1 + c - 0)*575\/15. Suppose 384 + r = 9*y. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i - 409. Let w(n) = -5*n + 406. Determine 2*b(d) + 3*w(d).\nAnswer: -d + 400","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133 * -152299.\nAnswer: -20255767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**3 - 6*w + 1152 - 1152. Let n(f) = 9*f**3 + 17*f. Let h = -14 + 27. Suppose -g + 0 + 3 = -5*d, 0 = g - d + h. What is g*a(c) - 6*n(c)?\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -151216751 + 22?\nAnswer: -151216729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35612 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 43*w - 26*w - 21*w. Let n(m) = -2*m. Let r(p) = -p. Let d(g) = 6*n(g) - 10*r(g). What is u(d(o))?\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 225137 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(sqrt(136) + sqrt(136)*1) - (sqrt(136) - (sqrt(136) + 2*(-2*sqrt(136) + sqrt(136)))))\/((1*sqrt(1200))\/sqrt(6)).\nAnswer: -14*sqrt(17)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*((-69)\/(-9) - 3). Let m(s) = -18 + 25 + l + 3*s + 12. List the prime factors of m(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 170*t**2. Let i(k) be the third derivative of -k**5\/20 + 7*k**2 + 25. Determine i(g(w)).\nAnswer: -86700*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 22734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.42 + -23.58. Let r = 40 + -63. Let y = m - r. Do y and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25e1 - -4?\nAnswer: -25dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813436.\nAnswer: 2, 13, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302 (base 4) in base 3?\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 12407*x**2\/5 + 7443*x - 18\/5 = 0.\nAnswer: -3, 6\/12407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16441114*b - 6*b**3 - 16441114*b.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/457996 and -23\/30.\nAnswer: 6869940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 0*v**2 + 3*v**2 + (-3 + 3 + v)*(3*v - 3*v - v) - 987943 + 3264*v**2 + 987943 as x*v + p*v**2 + s and give p.\nAnswer: 3265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/13, 54, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 590356\/91 - 3\/(-35)*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q - 61. Let f(d) = -15*d - 2 - d**2 + 36*d - 12*d. Let r be f(5). What is the units digit of x(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*c**4*m**2 + c**3*m**2 + 26180*c**3*m - 2*c**2 + 126281*c*m**2 wrt c.\nAnswer: 240*c*m**2 + 6*m**2 + 157080*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8336?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66137, 66261, 66497, 66851, 67329, 67937?\n\"Answer: p**3 + 50*p**2 - 33*p + 66119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*g + 414 = -105*g - 8*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 + -620352?\nAnswer: -620406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/28157?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**3 - 5*u**2. Let r(k) = -k**3 + k**2. Let m(h) = h**2 - 3. Let p be m(2). Determine p*v(x) + 5*r(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 6, -3, 5059, -1, 22 in descending order.\nAnswer: 5059, 29, 22, 6, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 230*b - 30514. Give m(133).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.70979 days to milliseconds.\nAnswer: 406925856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22839 is divided by 192?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (116 - (69 + -18)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 309, 325, 345?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k + 26*k = 33*k + 79002. Calculate the greatest common factor of 42 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208662 smaller than 208662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 62*y - 13*y - 10*y. Let j be h(1). Suppose t = j + 137. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 70*z**2 + 427*z + 37. Calculate c(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34, -4, 62, 170, 326?\n\"Answer: u**3 + 12*u**2 - 13*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 27950?\nAnswer: 27954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (5 + 11 + -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*(-44 - -40). Suppose -3*y - b*y - 4*p = -141, -33 = -y + 4*p. Calculate the remainder when 84 is divided by y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -2536.\nAnswer: 152.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-3))\/((-41)\/(-492))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -11*d**3 - 26*d**2 - 8*d - 6. Let z(t) = 4*t**3 + 9*t**2 + 3*t + 2. Let w(l) = -3*b(l) - 8*z(l). Calculate w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b - 2725 = -2385 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017696 to four decimal places.\nAnswer: 0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 200304 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*r - 1. Let u = r - 1. Put -5, u, -2\/13 in ascending order.\nAnswer: -5, -2\/13, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, b: 1, d: 3, s: 3, m: 1, q: 2}. Give prob of picking 1 q and 2 u.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1315, 1550, 1785, 2020?\n\"Answer: 235*t + 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/7 - 34*q**4\/7 + 18*q**3\/7 + 250*q**2\/7 - 428*q\/7 + 192\/7 = 0. What is q?\nAnswer: -3, 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljjooljklolja. Give prob of picking 1 k, 1 j, and 1 l.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 3. Let c be o(-2). Let d be 4\/(20\/(-28) - c). Let k be 1\/2 - d\/56. Sort -0.2, 0.1, k, 0.2 in descending order.\nAnswer: k, 0.2, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 89 - 226 = 0. What is the least common multiple of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*k + 180*k = 148. Determine r, given that -3\/5*r**2 + 0 - 3\/5*r**k + 6\/5*r**3 + 0*r = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minus -6856950?\nAnswer: 6857122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -3*a**5\/20 - a**4\/4 + 14*a. Give c(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506\/14 + (-15)\/(-35) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3*p**2 + 2*m**3*p - 2*m**2*p**2 + 49*m**2*p + 2282*p**2 - 9*p - 3 wrt p.\nAnswer: -2*m**3 - 4*m**2 + 4564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.7 - 30.9. What is the closest to u in -0.1, -1, 1\/7, 2\/21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 2:02 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - i - 1. Let y(s) = -129*s**2 + 71*s - 4. Let u(z) = 4*g(z) - y(z). Find the second derivative of u(w) wrt w.\nAnswer: 266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.4*-9.13.\nAnswer: -158.862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474138544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -396047 (base 10) to base 4\nAnswer: -1200230033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.533, 2\/7, -475\/7.\nAnswer: -475\/7, 2\/7, 0.533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15980.0095 - 15944. Let g = -36 + o. What is g rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 109, 263, 461, 697, 965, 1259, 1573?\n\"Answer: -v**3 + 28*v**2 + 77*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 2*g**2 - 3. Let l(u) = u - 8. Let i be l(8). Let n be 4 - 1 - i\/9. What is p(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180437\/15356 - -1\/3839. Find the common denominator of g and (-38)\/(-4) - ((-12)\/6 + 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 5*l + 9. Solve -2*y + 18 = -4*f, 0 = 3*y + 2*y - f - l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16776, 67287, 151472, 269331, 420864, 606071?\nAnswer: 824952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.923423 rounded to 1 decimal place?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37779 or -1344?\nAnswer: -1344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -231723?\nAnswer: -231717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1117 (b) -4 (c) 0.5 (d) -3 (e) 1 (f) 1\/277\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 231*d*n**4 - 3*d*n + 6*d - 1983 with respect to n.\nAnswer: 924*d*n**3 - 3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 189872533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90456 less than 37?\nAnswer: -90419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 48*x**3 - 547*x**2 - 4734*x + 45360.\nAnswer: (x - 9)**2*(x + 10)*(x + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -4. Let x(y) be the second derivative of -y**4\/12 + y**2\/2 + y. Let c be x(2). Put c, z, 0 in descending order.\nAnswer: z, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - 31428e?\nAnswer: -31429e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*f**3 + 1866*f**2 - 3177*f + 756 = 0 for f.\nAnswer: 28\/99, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262268311 and 2428.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5759 is divided by 3914?\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 - 0.2. Let u = y - -0.14. Let n = 3.92 + u. Sort -10, 3, n.\nAnswer: -10, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.016, 1\/60, -2, -2\/7, 5, 1\/173?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.049 * 29702.7\nAnswer: 1455.4323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/4 - 12650\/(-506).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2, 8, 4, -20, -70?\n\"Answer: -i**3 - i**2 + 20*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*b**2 + 39*b**2 + 2*b + 52*b**4 - b**3 - 106*b**2 + 41*b**2 in the form x*b + t*b**4 + j*b**3 + h + c*b**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 + 2*g**5 - 2*g**5 + (4 + 2*g**3 - 4)*(-5 + 5 - 2*g**2) + (14*g**2 + 3*g**2 - 7*g**2)*(-33*g**3 + g**3 + 4*g**3) - 4*g + 4*g - g**5.\nAnswer: -283*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1 - -2) + (-20 - -2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6967*x = 6997*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*y - 5465 + 5476 = 4*c + 2*c + 723*y, -3*c + 5*y = 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 4 + 6 + (-6 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679*o = -674*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8573526?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2453 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 21*z + 67. Determine j(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74078\/19 or 3900?\nAnswer: 3900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5)*c)\/c**(3\/4)*(c**(-5)*c)\/(c**7*c)*(c\/c**0*c*c)**(2\/115)\/((c\/c**(-6))\/(c\/c**(-2\/9))) assuming c is positive.\nAnswer: c**(-71521\/4140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 2*h + 6*h - 2*h - 453 - 8*h as z + b*h and give z.\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 137417043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0 + 1\/5*d**5 - 3\/2*d**3 + 2*d + 1\/20*d**6 - 1\/70*d**7 - 1\/4*d**4 + 6*d**2. Factor l(j).\nAnswer: -3*(j - 3)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*(0 + (-3)\/9). Solve q*h = -6 - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 814184528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1 - 5\/(-15)). Suppose -5*t - f + 2468 = 707, 0 = t + s*f - 355. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-2))\/((-1)\/2). Suppose 4*f - 816 = -4*r, 0*f + 3*r = -4*f + 816. What is the units digit of (-2)\/j + f\/28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 687, 639, 571, 483, 375?\n\"Answer: -10*p**2 - 18*p + 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 3. Let n = 19 - 11. Let c = n - t. Solve 2*m = 1 - c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23592 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -14*n + 456 - 944 + 502 + 3*n + 2*n**2. What is d(7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 82, -1, -0.3, 2\/13.\nAnswer: -1, -0.5, -0.3, 2\/13, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100519 or -100517?\nAnswer: -100517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**4\/12 - h**3 + 2*h**2 + h. Let b be r(-6). Solve 0*v = b*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1395 and 26379295.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 114*x**2 + 4*x - 459. Determine a(114).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(((-2)\/2)\/((-3)\/(-9))))\/((-1638)\/126)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -135 (b) 2\/3 (c) 2\/13 (d) 3 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 11 + 12)*(-4 + 15 + 0)*(8*o**2 - 37 + 0*o**2 - 6*o**2).\nAnswer: 374*o**2 - 6919","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - -2102333103?\nAnswer: 2102333040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(0 + sqrt(637)) - (sqrt(637) + sqrt(637) + -2 + -4 + 0).\nAnswer: -154*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*b + 14537, 2*d + 14531 = -2*b + 5*d. Let k = b - -10973. Let t be (6\/(-4))\/(1\/(-2)) - k. Round t to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14021 - 14016. Solve -j - q*f + 23 = 0, 13*f = j + 12*f + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(-1)\/(5 - 3). Suppose a*i + 588 = -4*f, -6*i - 1215 = -2*i - 5*f. What is i rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 0*c - 33. Let q be ((-1)\/3)\/(3\/81). Let a(u) = u**3 + 9*u**2 + 2. Let o be a(q). Solve -o*p = -z + c, p - 4*z - 3 = -26 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 29. Let z = r - 11. What is the least common multiple of 8 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1806 and 1995?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4 - 6?\nAnswer: aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 less than -1057653?\nAnswer: -1057507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + 12*l**3 - 6*l**3 + (0*l**2 - 2*l**2 + 3*l**2)*(3 - 3 - l) + l**2 - l**2 - l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - t + 1. Let j(l) = -2*l**2 - 14*l + 17. Let q(a) = j(a) - 3*o(a). Let c = -17 + 28. What is the units digit of q(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 3, -0.09, -2\/9 in descending order.\nAnswer: 3, -0.09, -2\/9, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 (base 13) in base 12?\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 895?\nAnswer: 6265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1280 = -b + 9*b. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*c - 2*v = 66*c + 12, 5*v = 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 640000 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 823954.46 + -823985.4599998. Let w = 31 + z. What is w rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -11*t**9\/3024 + t**6\/36 - 20*t**3\/3 + 5. Let o(c) be the third derivative of p(c). Find the third derivative of o(b) wrt b.\nAnswer: -660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*b - 885, 4*b = 4*t - 1150 + 310. Let l = t + -163. What is the greatest common factor of l and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)*v)**(-1\/4)\/((v*v**(-1\/2)\/v)\/(v\/v**4)))\/((v*v\/v**4*v*v)\/(v**4\/v)*(v**(2\/7))**(2\/45)) assuming v is positive.\nAnswer: v**(173\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*j - 11 = 0, f - 5*j + j = 16. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2467491 bigger than -2467492?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -19*t**3 + 10*t**2 - 19*t + 5. Let w(p) = 29*p**3 - 14*p**2 + 28*p - 7. Determine 7*v(u) + 5*w(u).\nAnswer: 12*u**3 + 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 18*m - 8*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27893 - 16262. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 17*h - 24. Solve -6*m + h*m + 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30546.\nAnswer: 2, 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 74)\/(2\/2). Let h = 13 + p. Let x = -23 - h. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15575*k = -15579*k - 184 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6 + 8. Calculate the common denominator of t + 4*(-29)\/(-32) and 5\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812752 is divided by 405673.\nAnswer: 1406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80662?\nAnswer: 2, 31, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -6) + -7 + (1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from xuiqixquq.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = r + d, 0 = -r + 4*d + 24. Suppose r*n = 30*n + 2. Suppose -1\/2*l - n + 1\/2*l**2 = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 19. Which is the closest to p? (a) 0.03 (b) 3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*p - 13, -4 + 1 = p + 2*q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*u - 0*u - 24, 2*b - 2*u - 4 = 0. Is (b + 21936\/3)*(-5)\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 k, and 1 c when three letters picked without replacement from {x: 1, w: 2, f: 1, r: 1, k: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**0*w)**(3\/14))**(25\/3) assuming w is positive.\nAnswer: w**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-9) - (-11)\/15. Let g = -124\/5 + 26. Factor 6\/5*k + g*k**2 + h*k**3 + 2\/5.\nAnswer: 2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118 - -132. Suppose 3*d = z + 52. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*sqrt(33)\/(sqrt(11) - -1*sqrt(11)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 256 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Let v = 2 - i. Which is the second smallest value? (a) 1\/4 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2372?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-483)\/2070)\/(42\/54).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 27 = 27. Let t(n) = 143*n**3 + 13*n + 52. Let h(d) = -36*d**3 - 3*d - 13. Let l(g) = f*t(g) - 26*h(g). What is the derivative of l(k) wrt k?\nAnswer: 234*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/75 - (-4)\/(-30). Is j equal to 0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 0*f**3 + 4*f**2 + 9*f + 6 - 2*f - 5*f - f**3. Determine u(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22*-50043.56\nAnswer: 1100958.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 - -10332321?\nAnswer: 10332123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 4 (c) -8.97 (d) 5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 2*d = -5*x + 1140, -2*x = d - 459. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 0 - 1\/8*n**4 - 2*n**2 + 0*n - 1\/2*n**3. What is the derivative of i(l) wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-26)*(5\/27)\/(78\/117).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -45, -4, 193, 4 in ascending order.\nAnswer: -45, -9, -4, 4, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(-1414 + 1414 - 56*j)*(-5*j + 3*j - j) + 11*j**2 - 289*j + 289*j.\nAnswer: 347*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -257 + 325. Suppose -76*h = -l*h - 1216. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150726063 is divided by 15072606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 17196 + 20001 = 3*p, 3 = -u. Round p to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -37*g - 820. Give a(-42).\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593092?\nAnswer: 2, 31, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.7005409 + 3.90754179. Let l = -0.207 + g. What is l rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5099*f - 3320?\nAnswer: -5099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 48902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-3)\/(15\/(-25)). Suppose -y*i + 3 + 2 = 0. Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 446164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 7. Let d be j(0). Let n(p) = p**3 + 6*p**2 - 7*p + 2. Let o be n(d). Solve 2*l - 4*v - 12 = 0, o*v = 3*l - 8*l - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 953*i**4\/6 + 1237*i**3\/3 - 3479*i**2. What is the first derivative of v(a) wrt a?\nAnswer: 3812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337061.\nAnswer: 3, 11, 31, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -337, -373, -441, -553, -721?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 13*k**2 - 31*k + 1. Calculate m(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, m: 1, b: 4, g: 2}. Give prob of sequence bbb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 40. Suppose -2*x - 5*i = m - 0, 0 = x + 5*i + 15. Factor 7*s**2 + s - 4*s - x*s - s + 2.\nAnswer: (s - 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 6, -r - 3*t + 0*t = -16. Suppose -r*h = -5*h + 2, 2*h - 10 = -3*i. Put i, 1, -3, 3 in descending order.\nAnswer: i, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 + -13.8. Let u = x - -22. Let p = u - 10.086. What is p rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2353509 is divided by 3251?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t - 642*t**3 + t + 10*t**4 + 638*t**3 + (2*t**2 - 3*t**2 + 2*t**2)*(t**2 + 2 - 2) to the form v + q*t**2 + u*t + b*t**4 + j*t**3 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -31, 3\/4, -4, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 8*h**2 - 17*h - 68. Determine v(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(2\/7)\/j*j)*j*j)\/j**(-2\/25))**(-6)*(((j*j\/j**(-2\/3))\/j*j)\/((j**(-2\/5)\/j)\/j))**10 assuming j is positive.\nAnswer: j**(14648\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 24 = -4*m - 2*o, o - 2 = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*d**3*v + 479*d**3*w**2 + 2*d**3 + 3*d**2*v + 276*d**2 + 645*d*v*w**2 wrt d?\nAnswer: -156*v + 2874*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152393 = -g - 1347607. What is g rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43.304 - 43.2. Let h = -2.896 - t. Put 2, 7, h in increasing order.\nAnswer: h, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95\/19*2\/25.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2884*f**4 + 4452*f**3 - 28760321*f?\nAnswer: 34608*f**2 + 26712*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3080*g**2 - 48*g + 203. Is r(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -28*r**5\/9 - 4*r**4 + 272*r**3\/9 - 16*r**2 - 64*r\/9 = 0.\nAnswer: -4, -2\/7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+1442727.0141\nAnswer: 1442726.5141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4.953368 millennia?\nAnswer: 495.3368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4633 + -4639. Sort -39, p, 0.1 in increasing order.\nAnswer: -39, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*n + 26488 = n. Suppose -37*k = -41*k + n. Does 49 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1. Let g(z) = -33*z**3 - 2*z**2 - 73*z + 2. Let m(t) = g(t) + 2*r(t). Find the second derivative of m(q) wrt q.\nAnswer: -198*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - y = -1596, 0*y - 637 = -2*b + y. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l**2. Let s(z) = 120060595*z. Give a(s(w)).\nAnswer: -57658185887016100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31138908*k**5 - 5*k**4 - 145391101*k?\nAnswer: -622778160*k**3 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 3864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.668569828 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1776737?\nAnswer: 383, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72.084 - 0.084. Let d = v - 71.19. What is d rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2830648 to 4 decimal places.\nAnswer: -1.2831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d + 18 = 3*j, 5*d = 4*j + 11. Suppose 0 = -q - 6*q - 1792. Let y be (-8)\/(-10) + q\/(-80). Solve 3*i - y*i - j = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -16. Suppose -31 = -d*h + 17. Is 14 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057 to five decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.028.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 248563 in decreasing order.\nAnswer: 248563, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -3*f**8\/56 - f**4\/4 + 3*f - 3. Let o(v) be the first derivative of n(v). Find the third derivative of o(h) wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 + 549*j**2 - 15315*j\/4 - 4378.\nAnswer: -(j - 2189)*(j - 8)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.1, 3170\/359.\nAnswer: -18, 0.1, 3170\/359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -1.84.\nAnswer: -17.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3930352091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -280, 125, 520, 899, 1256?\n\"Answer: -p**3 + p**2 + 409*p - 689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2226, -2225, -2224, -2223?\nAnswer: -2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**2 - 6*r + 6*r**2 - 6 - 3*r**2 - 2*r**2. Let v be 4\/6*3*(7 - 9). Calculate a(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -291, -191, -91, 9?\n\"Answer: 100*g - 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -663, -667, -685, -723, -787, -883, -1017, -1195?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -253 - -276.1. Let m = g - 23. Which is the nearest to m? (a) 0.5 (b) 1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + 29. Let v = s + -59. Solve 0 = 5*k + 18 + v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tit when three letters picked without replacement from {t: 12, i: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 15) to base 5.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 353556 and 21252.\nAnswer: 3889116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -11. Let n = 8 + p. What is the derivative of n - 3 - 2 - 2*y**3 wrt y?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20785029 is divided by 597.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 5*d**2 - 3. Let z = -17 - -21. Suppose -2*q - z*q = 30. What is n(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 72*d + 1537. Calculate f(15).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2230 - -9009\/4. Is k > 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29686, 29406, 29124, 28840, 28554, 28266, 27976?\n\"Answer: -w**2 - 277*w + 29964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109807 - 375*l + 109807)*(31 + 33 - 75).\nAnswer: 4125*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11.2. Sort u, 0, -3\/5 in descending order.\nAnswer: 0, u, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 8*p - 0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*n**3 - 2*j**2*n**2 + 2*j**2*n + 17*j**2 - 84*n**3 - 3*n**2 + 5*n wrt n.\nAnswer: -6*j**2*n - 4*j**2 - 504*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/21))**(-3\/28)*s\/s**(-2\/35)*s*s*s**11 assuming s is positive.\nAnswer: s**(6883\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -28212.447?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 552806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/402 and 19\/1902?\nAnswer: 127434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 168 = t, t - 4*f + 1408 = 1578. Calculate the greatest common factor of t and 5785.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-76)\/12)\/((-1)\/309). Let m = s + -1023. Suppose -3*g = -2*q + 378, 5*q - 4*g + 2*g - m = 0. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 8 = -4. Suppose d - 24 = -b. Let t = 6 + -2. What is the greatest common factor of b and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by -55.\nAnswer: -68\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -26 - (-1 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 936036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from zzssszssu?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.653 + 3.553. What is the closest to 0 in -2, h, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*p + 13 = 0, 2*p - 5*p = 2*b - 19. Solve 0*d**3 + 3*d**3 - d**2 + d**b - 3*d**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1249575 to the power of 1\/2, to the nearest integer?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 8\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -20224401433?\nAnswer: 20224401424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, p: 1, e: 1, g: 1, o: 1}. Give prob of sequence odgp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2160\/(-66))\/10*66\/12.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.188771651 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**8\/336 + z**4\/24 - 2*z**3\/3 + 5*z**2. Let n(d) be the first derivative of v(d). Differentiate n(b) wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 4*f + 6. Let k be p(-3). Suppose 2*s = -8, 4*s + 15434 = m + k*s. What is m rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5 - 1, -3*a = 3*g - 486. Calculate the remainder when g is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 + (-70 - -19) + 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4767, 19866, 45063, 80358, 125751, 181242?\n\"Answer: 5049*v**2 - 48*v - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (12 + (-17 - -9) - (-2 - -11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 201 and 1222047821.\nAnswer: 1222048022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8123 divided by -96415.\nAnswer: 8123\/96415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 l when three letters picked without replacement from qqlqqqqxql?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1749357 is divided by 1749339.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3256 and 2387869?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 1296?\nAnswer: -129a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -5 (c) 3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 132997963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2145 divided by 138084?\nAnswer: -715\/46028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.4 - 0.6. Let t = q - 18.8. Let v = t - -21. What is the third smallest value in 1, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 1, a: 7}. Give prob of picking 1 a and 1 f.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 4*i**2 + 4 + 8 + 8*i**2 + 55*i**3 + 23 to n*i**3 + r + o*i + q*i**2 and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 36*o + 3. What is n(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 10*a**2 + 28*a + 1. Is i(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201208 divided by 100604.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32892 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12329*a - 540. Let f be b(30). What is f rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 j when four letters picked without replacement from {j: 8, q: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.35669*0.03\nAnswer: -0.0107007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (24 + -31 + 27 - 13) + -21\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83474*s - 90 + 90 - 21057*s.\nAnswer: -104531*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -18, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.455762177 rounded to three decimal places?\nAnswer: -0.456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1023213 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29.9 and -0.3.\nAnswer: 8.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29352667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 0) + (-5 - (8 + -12)). Solve -2*o = z - t, -z - o + 1 = -0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**3 - 11 - 5 + 7*n**3 wrt n.\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) + sqrt(220) + (sqrt(220) + (sqrt(220) - sqrt(220)*-2))*-5)\/sqrt(5))**2*2*3*-2.\nAnswer: -171072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2566*w**3 - 16*w**2 + 24*w - 3862. Let p(u) = u**3 + 2*u**2 - 3*u - 1. Let i(l) = -k(l) - 8*p(l). Find the first derivative of i(r) wrt r.\nAnswer: 7674*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (5 + -6 + -24)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656655369 to the power of 1\/3, to the nearest integer?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*y + 149*y - 332*y**3.\nAnswer: -332*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*t - 2 = -n, -3*n = 3*t. Let y be (2\/5)\/(n\/(-10)). Suppose 2*w + o - 7 = y, 5*o - 1 = w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 9. Let b be o(-4). Let j(v) = v + 2. Let c be j(-2). Suppose 0 = -c*m - b*m + 60. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*b + 19, 2*b - 15 - 1 = -3*t. Let o be 9\/t*16\/24. Suppose 0*x + 736 = 2*x - 2*m, -o = -m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 6. Let a be j(-5). Let g = -11 - a. Let t be 2\/4 + -1 + 0. Is t < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85 - (5\/(-5) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128864 is divided by 21477.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12907837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16.8 (b) 17\/305 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 12 - -7 - 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7577025.\nAnswer: 3, 5, 101027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2308 + 1075. Suppose 673 = 12*m - d. What is the remainder when m is divided by 69?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (792\/4620)\/(3\/((-147)\/35)).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plcnlcpcalalcahllapc. What is prob of picking 1 p and 1 a?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 1:03 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*d + 20, -2*d = -5*a + 3*d - 250. Let r = -20 - a. Is 13 a factor of (-258)\/(-5) - ((-20)\/r)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 + -72. Suppose q - 149 + m = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 3*l**2 + 3*l - 4. Let w be m(3). Let h = -103.7 - -104. Put w, h, 3\/7 in decreasing order.\nAnswer: w, 3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 2. Suppose -350 = -52*i + 46*i - 32. Calculate the remainder when i is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-85) - -959*(-16)\/952?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*u**2 - 954*u**2 + 187*u**2 - 1872*u**2.\nAnswer: -2436*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 853123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-200)*24\/3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*-5*((-2 + sqrt(5) + sqrt(20)\/sqrt(4) + sqrt(5))**2 - (sqrt(5) + (sqrt(20) - -1*sqrt(20) - sqrt(20))\/sqrt(4))).\nAnswer: -1225 + 350*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 4 - 5)*(-3*i + i - i)*(-34 - 63 - 26) + 0*i + 0*i - 2*i)*(i + 4 - 4).\nAnswer: 1105*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -3)**2 + -2.\nAnswer: -54*sqrt(7) + 574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**2 - 124*o - 395. Determine d(35).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2468957156 to the power of 1\/2, to the nearest integer?\nAnswer: 49689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -16171, -4, 0, -6, -2, -0.5, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132633, 132625, 132605, 132567, 132505, 132413, 132285, 132115?\nAnswer: 131897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*w - 146*w + 61*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*w + 5*a, 13 - 3 = 2*a. Suppose 11 = 2*g + w. Solve m - 2*m + g = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*f = 3, -3*q - 4*f = -f + 3. Find the third derivative of 30 - o**q - 30 + o**2 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/16)\/t*t)**(-2\/37)*(t*(t*t\/(t\/t**21))\/t*t*t)\/t**(1\/9) assuming t is positive.\nAnswer: t**(63631\/2664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -371b9b (base 15) in base 14?\nAnswer: -4c97a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4752)\/(-135))\/(1\/5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) - 6*3*sqrt(240))\/((-3*sqrt(70) - sqrt(70))\/sqrt(7)))\/((sqrt(96)\/(sqrt(8)\/sqrt(4)))\/sqrt(4) - -5*-1*sqrt(432)).\nAnswer: -17*sqrt(2)\/116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.812554 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 + 98. Suppose 2*j = 36 + p. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -150 - -90. Let t be (436\/10)\/((-24)\/a). Suppose -c = -4*z - 6*c + 209, 2*z = -c + t. 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: Let w = -1041 - -75995\/73. Let i = w - -132\/511. Factor 0*r + 0*r**3 - 2\/7*r**4 + i*r**2 + 0.\nAnswer: -2*r**2*(r - 1)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 9 - 1 = 0. Let z be (-7)\/u*(-16)\/(-28). Suppose -z*j + 0 + 8 = 0. Is j less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/10*(-18935)\/(-1082)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1842 + 5737 = 3*p, 5*p = 25. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 8*k**2 + 4*k. Let y(h) = -h**2 - h. Give u(j) + 5*y(j).\nAnswer: 3*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -485, -4, -11?\nAnswer: -485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 584745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.05217 - -0.08683. Let p = m + -9.2. Is 2\/7 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + h + 7. Let q = 166 + -164. Suppose -m - q = 0, -6*x + 5*m - 11 = -3*x. Calculate t(x).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2. Let s(t) = -23*t**2 + 17. Let l(z) = 4*z**2 - 3. Let x(q) = 34*l(q) + 6*s(q). What is o(x(i))?\nAnswer: 20*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -8583.93?\nAnswer: -8583.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -467\/5 + 93. Let n be -1 + 2 + 1 - 1. Let j = -3.3 + 4.3. Which is the nearest to j? (a) m (b) -5\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*n + 16 = 0, -3*h + 5*n - 4 = 4. Solve s = h - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.81 rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-14)\/(-6)) - (-388523)\/(-780983). Let s = 6\/59 + n. Which is bigger: 1\/3 or s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 864 and 49536.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a centimeter in micrometers?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5742, -4.\nAnswer: -4, 0, 5742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-45)*(-8)\/48*45?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*p + 5*x - 16, 0 = 5*p - 7*x + x + 30 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, t: 4, h: 1}. Give prob of sequence thte.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46472907.\nAnswer: 3, 13, 1191613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3649157, -3649185, -3649213, -3649241, -3649269?\n\"Answer: -28*k - 3649129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {o: 2, v: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214523 is divided by 286?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 70 = 4*k. Suppose 6 - 12 + k*z**2 + 6 + 4*z - 14*z**3 = 0. Calculate z.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232 (base 9) to base 13.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93598 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-10)*(4 + -14). Solve s + h*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 23*f**2 - 377*f + 42. What is o(34)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71036*q**2 - 12563*q**2 + 24103*q**2.\nAnswer: 82576*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 189207880*n - 1789981092704720.\nAnswer: -5*(n + 18920788)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1687 (base 10) to base 6.\nAnswer: -11451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 6*p**2 + 3*p - 6. Let y be g(-5). Suppose -y*m = -0*m - 12. Find the third derivative of 2*u**2 + 2*u**3 + m*u**3 - 3*u**3 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 5. Let o be d(0). Suppose 18 = 3*f - o*c, -2*c - 6 = f - 2*f. Solve 3*a + f = -0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10123026?\nAnswer: 2, 3, 1687171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(-49))\/(18\/(-252)). Solve -2*d + 7 = -3*x + 2*x, -b*d = 3*x + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*-1*(-3 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000203249 rounded to 5 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 83 = 4*c, -2*c = 3*p - 33 - 18. Let j = 64 - p. Let h = j - 40. Solve h*k - 9 - 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/78 and -181\/15720?\nAnswer: 204360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24\/17 + -3\/34. What is the closest to 0 in y, 1\/3, 7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421*v + 426*v - 44114988 = -2*j, v - 3*j - 8823018 = 0. What is v rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m, -11 = -4*f + m - 31. Suppose 5*k + 91 - 86 = 0. Let v = -2\/57 + 128\/399. Which is the smallest value? (a) f (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 639*a - 6966. Calculate q(11).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 5*c = 10, 6 = 4*i - 3*c - 0*c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -207.01 - 0.99. Let v = 182.7 + b. Round v to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2 - 3502*w - 210099 = 0?\nAnswer: -59, 3561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 725*w**2 + 2 - 365*w**2 + 2*w**3 - 386*w**2 - 2*w to the form b + k*w + j*w**2 + u*w**3 and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186819?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2298.22123 to the nearest ten.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12298*j**4 - 2*j**3 + 2397*j**2 - 4*j?\nAnswer: 295152*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + -19 + -35 + 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**7\/70 + 5*f**6 + 500*f**5 - f**2 + 222. Factor g(k).\nAnswer: 3*k**2*(k + 100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**3 + 177*l - 177*l - 22 - 87*l**2 + 83*l**2.\nAnswer: 7*l**3 - 4*l**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 11*x + 62. Give j(-9).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-8)*(-4)\/(-1). Suppose 2*f = 4*f - 4*d + 6, -s*f = -5*d + 4. What is the tens digit of 116\/f + (-12)\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 199\/352 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 482*o - 484*o + 13*j, 2*o = 2*j + 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*q - 872 = -60*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/18 + 13\/18. Let d = -0.1 - -4.1. Let t = 0.2 + 0.1. Which is the second smallest value? (a) t (b) d (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.65561853 rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 165\/(-25) + (-4)\/10. Let z = g + 7. Solve z = -9*s + 4*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + -8?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 5 + -6*(-64 + -2). Calculate the highest common divisor of x and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -6371?\nAnswer: -6373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -123.3 + 121. Let z = r - -2.6. Put 19\/5, z, 1\/4 in descending order.\nAnswer: 19\/5, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107986, -109206, -110426, -111646, -112866?\nAnswer: -114086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 25*f + 12*f + 17*f as j*f + m and give m.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 1:35 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 944 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1058 + 1061 - 2*x**3 - 8*x + 4*x in the form u*x**2 + g + y*x**3 + q*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42 and 7.9.\nAnswer: -331.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**4)\/(((y*y\/(y*y*y\/y**(-2\/9))*y)\/y)\/y))\/(y**1*y*y**(3\/8)) assuming y is positive.\nAnswer: y**(349\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrxzxxrrzrrzzrrzr. What is prob of sequence rzr?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 7*j - 4. Suppose 5*z - 15 = 5*d, -18 = d + z + 3*z. What is the units digit of q(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372166?\nAnswer: 2, 53, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, q: 3}. What is prob of picking 1 z and 2 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 8. Let v be 8\/12*114\/4. Suppose 2*d + 7 = -r, -v = -3*d + 4*r - n. Which is bigger: -2\/9 or d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = c + 4*c - 43, 22 = -4*p - 2*c. What is the closest to 81 in 4, p, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 - 1.1. What is the smallest value in j, -0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 7.991. What is m rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o - r = -29*o + 6, 2*o + 3*r = 5*r + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.1720127?\nAnswer: -0.8600635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*u + 1537670 = 0, 9*u + 363169 = -j + 1132046. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 5, -4, 2\/217 in ascending order.\nAnswer: -6, -4, -1, 2\/217, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-33) - (-424)\/(-88). Let u(o) = o**2 - o + 1. Let i(a) = -6*a**2 + 5*a - 5. Let h(m) = c*u(m) - i(m). Let y(l) = -10*l. Calculate h(y(r)).\nAnswer: 100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/38 in -107, 56, 1\/21, -0.4, -1?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1804 and 709546?\nAnswer: 15610012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/3, 1, 422, 1\/2 in ascending order.\nAnswer: -2, 1\/2, 2\/3, 1, 422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o**5\/9 - 92662*o**4\/9 + 89605910*o**3\/3 - 2881057648*o**2\/9 + 5690669864*o\/9 + 535644736\/3 = 0 for o.\nAnswer: -1\/4, 3, 8, 5786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 26*z**2 - 51*z + 50. What is n(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**6)\/u*(u\/(u\/(u*u**2\/u))*u)\/u)\/(u**0)**(-4\/29)*u*u\/(u**(1\/2)\/u*u)*u\/(u**(3\/4)\/u)*u**(-5)*u**(-2)\/u assuming u is positive.\nAnswer: u**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (458*l**3 + 4 - 518*l**3 - 3)*(10 - 6 + 7) - 6*l**3 + 3 + 4*l**3 - 1.\nAnswer: -662*l**3 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from babbqbnbababnqgaqa. Give prob of picking 1 g and 2 n.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111119882*a**3 - 9329862.\nAnswer: -333359646*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4696*v + 310*v**2 - 628*v**2 + 330*v**2 + 1564 = 0. Calculate v.\nAnswer: 1\/3, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 300185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:48 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qmvkmdm. What is prob of sequence kvqd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106215 is divided by 195.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4}. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-8)\/((-192)\/(-126))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106950 and 174747.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b80478 (base 12) in base 3?\nAnswer: -12110112010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 501544 (base 8) to base 12.\nAnswer: 7b398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2761997 grams to kilograms.\nAnswer: 0.0002761997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 9 = -4*t + r, 4*r = t - 6. Let n = 1 + t. Let k(j) = j**3 - 10*j**2 - 23*j - 1. Calculate the remainder when k(12) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -16\/7 - 8\/7*f**2 + 66\/7*f = 0?\nAnswer: 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 11:34 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 41\/4*f + 45 - 1\/4*f**2 = 0.\nAnswer: -4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1438380 is divided by 479431?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/2)*t*t**(2\/25)*t\/t**7*t**6*t\/(t\/t**2*t)*(t\/t**(7\/5))\/t*((t**3*t)\/t)\/t**(-3) assuming t is positive.\nAnswer: t**(409\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.48 + -0.473. Round t to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -382 (base 9) to base 11\nAnswer: -269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f - 4\/9*f**2 + 2\/9*f**4 + 2\/9 + 0*f**3.\nAnswer: 2*(f - 1)**2*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4285\/38889 + 4\/4321. Which is the closest to -0.1? (a) 1\/3 (b) j (c) -6\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 27*j**2 + 13*j - 9. Let f be y(-14). Solve -4*i - 19 = 3*m, 3*i - 2 = f*i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177472071?\nAnswer: 17, 41, 1689343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 18 = -x + 5*x, 2*h - 3 = -x. Suppose 8*n - h*n = 285. Suppose -n + 6 = -3*l. Calculate the highest common factor of 85 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**15*s*s*s**(-1)\/s)\/(s**8)**(-25) assuming s is positive.\nAnswer: s**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004091971 to six dps.\nAnswer: 0.000409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-2*v - 2*v + 0*v + (v + 0*v + v)*(-2 + 4 + 1)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -505, -688, -845, -976?\n\"Answer: 13*b**2 - 222*b - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 6*r + 4. Let n(d) = -17*d - 13. Let w(x) = 16*x + 12. Let m(q) = -3*n(q) - 4*w(q). Let o(f) = -2*m(f) - 5*y(f). What is the units digit of o(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 10:44 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30831.4 and 2?\nAnswer: 61662.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66892873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-36 - -52) - (17 - -1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0 + 17\/2*n**2 + 15*n - 5\/6*n**3. List the prime factors of m(-10).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s - 11. Let t be (2 + 1\/3)*(-87)\/29. Let m(l) = l + 6. Calculate t*m(x) - 4*v(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((71 - (7 - 2)) + 19 + -25) - -1?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 167942475 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -389790230 to the nearest 1000000.\nAnswer: -390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 0*l**3 + 8 - 2 - l**3 - 5*l**2 + 7*l. Let i be m(-6). Let g = 274 - 270. Put g, -4, i in decreasing order.\nAnswer: g, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 456909.7 to the nearest one hundred.\nAnswer: 456900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30\/9*(6\/(-11))\/2\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (sqrt(156) - -5*(sqrt(156) - (sqrt(156) + (sqrt(156) - (sqrt(156)*-2 - sqrt(156)))))))\/(sqrt(15)\/sqrt(5)*-3).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20230122 (base 4) to base 15.\nAnswer: -a840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 7*p**2 - 2*p - 18. Let b be g(7). Let r be (-6 - -2)*12\/b*2. Calculate the highest common factor of r and 93.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 9 - 5)*((-2*a**2 + 5*a - 5*a)*(-1 + 1 - 2) + 6*a**2 - a**2 - 2*a**2 + 4 + 2*a**2 - 4).\nAnswer: 171*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 519072 to the power of 1\/2, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-6))\/(-4)*12\/(-7). Put t, -0.1, -3 in descending order.\nAnswer: t, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*193.\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 42.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213848843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/11 - 12266*b\/11 - 12264\/11.\nAnswer: -2*(b + 1)*(b + 6132)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202218?\nAnswer: 2, 3, 33703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2674 - -9693. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = g - 4774, 5*g = -167*z + 164*z + 23912. Does 54 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2177 = -2*v - 7*q + 2198, -2*q = 2 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110222021 (base 3) to base 11.\nAnswer: 7118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58, -43, -302, -719, -1294?\nAnswer: -2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25*0.33889\nAnswer: 8.47225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -443 - -4 - (-1 + -3). Let b be q\/35 + 3\/7. Let x = b - -10. Let r(o) = o + 1. Calculate r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 - 4*h**4 + 3*h**4)*(-25*h - 54*h + 12*h - 20*h).\nAnswer: 174*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**2 - 171*n + 3778. Let t(g) = 2*g. What is w(t(j))?\nAnswer: -36*j**2 - 342*j + 3778","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, 0.0885, -8 in ascending order.\nAnswer: -8, 0.0885, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12748 (base 10) in base 3?\nAnswer: -122111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*b - 1 = 0, 4*j = -116*b + 120*b + 28. Determine h so that -10\/11*h**5 - 8\/11*h**j + 24\/11*h**4 - 20\/11*h**2 - 4\/11 + 18\/11*h = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/(1\/(-18)). Suppose -4*l = -57 - u. Is l a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -7 + -11 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10475.\nAnswer: 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2276165 is divided by 195.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*j**2\/2 + 3258*j + 17280 = 0. Calculate j.\nAnswer: -192, -60\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17.15 + -17. Let z = -1.05 - k. Let i = 8.2 + z. What is the third smallest value in i, 3\/2, -0.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73671293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -0.104?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -555458*a**4\/19 - 8121070*a**3\/19 + 3142000*a**2\/19 - 300000*a\/19 = 0 for a.\nAnswer: -15, 0, 100\/527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/4))**(-16) assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14494*n - 3299*n + 17793 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 53*u + 19*u + 24*u - 175 = 0, u - 53 + 3 = w for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/4 and -65\/13302.\nAnswer: 26604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 540678 and 2134?\nAnswer: 5947458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - -0.34. Let t be 15\/(-10)*((-2733)\/18 + -2). Let v = t + -231. Which is the biggest value? (a) h (b) v (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(-12)\/(-300) - 9804\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3 + 3903*j**2 - 595*j wrt j?\nAnswer: -12*j + 7806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/6 - 7\/(-21). Suppose 0 = d + r*d - 20. Suppose -4*m + 92 = -d*z, 0 = 2*m - 0*z - 5*z - 49. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (139\/(12649\/(-156)))\/((8\/14)\/(-2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529388 is divided by 2926.\nAnswer: 2708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*s**4 - 324672*s**3 - 4430293*s**2 + 1503821*s - 126070 = 0. Calculate s.\nAnswer: -9005, -14, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -160 + 481\/3. What is the closest to -1 in 40, -2\/9, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1917*k*r - 22200884*k + 4003*r**3 wrt r?\nAnswer: -1917*k + 12009*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 + (-74)\/(-24) + -2. What is the closest to c in 0, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 23*s + 678. Let i be p(-28). Calculate the highest common factor of i and 2533.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(0\/(-1) - -2). Which is bigger: j or 8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*x = 2*c - 90*x - 18748, 4*c = 2*x + 37520. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = z - 9. Let o = z + -50. Suppose -6*d + 377 = -967. Calculate the greatest common factor of d and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -484 + 487 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41467058.\nAnswer: 2, 89, 232961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**5\/100 + v**4\/20 - v**3\/10 + 2*v**2. Find m such that t(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 7:26 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3\/5)\/q*q)\/q)\/q**11 assuming q is positive.\nAnswer: q**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/152)\/(13671\/784).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 at least as big as -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {y: 2, n: 3, v: 6, l: 3, x: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110111111010101010111 (base 2) to base 7.\nAnswer: 126023234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -101*j**2 - 28*j - 21. Let q(r) = 72*r**2 + 19*r + 14. Let n(i) = -5*f(i) - 7*q(i). Suppose -g - 28 = 3*g. Determine n(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 take away 2.27?\nAnswer: -3.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 266 - 211. What is the highest common divisor of q and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcf when three letters picked without replacement from {c: 3, f: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -104 in 4, -0.2, 0.6, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d. Let c(u) = -u**2 + 2894033*u. Determine c(s(v)).\nAnswer: -81*v**2 + 26046297*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 134627561998.000008 + -134629615556. Let w = -2053538 - o. Let k = w + -20. Round k to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0, 0.1598, -1\/3?\nAnswer: 0.1598","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-24))\/4*(-9)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 5. Let f(g) = g - 3 + 3 - 8 + 9. Calculate -6*f(t) + i(t).\nAnswer: -4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 5*n - 299. Calculate the highest common divisor of n and 384.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.1 * -12306.\nAnswer: 50454.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 223046 <= 223036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**4\/4 - 98*f**3\/3 - 219*f**2 - 360. What is the second derivative of u(q) wrt q?\nAnswer: -6*q - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + j**2 + 1)*(24*j - 141 + 141) as m*j**2 + t*j**3 + f + d*j and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n**(-2\/3)*n)\/n*n))\/(n**(-1\/4)*n*n))\/(n**(-3\/2)\/(((((n*n\/(n**(2\/9)\/n)*n*n)\/n*n)\/n)\/n)\/n*n)) assuming n is positive.\nAnswer: n**(115\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 13*u = -69. Calculate the greatest common factor of 230 and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.019512 + 225.789512. Round n to the nearest integer.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66.73 + -67. Let r = -0.22 + l. Let w = r + -4.11. Round w to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 607\/4 + -151. Let u be (-5)\/(-10)*-10 - -2*2. What is the nearest to 3 in w, -0.5, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27645 divided by 24.\nAnswer: -9215\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3133632 divided by -1.\nAnswer: 3133632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**3\/6 - 134*a. Let o(b) = 22*b - 59 + 37*b + 63. Determine o(f(t)).\nAnswer: 59*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**3\/3 - v**2\/2 - 2*v - 187. Suppose -n + 7 = l, -4*l + 3*n = n - 16. Suppose 2*p + 1 = l. Determine x(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781215 is divided by 2072.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*k + m, 5*k = -5*m + 30 - 45 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6407 or -6408?\nAnswer: -6408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28073228443.999999405 - 28073228347. Let n = 97 - b. Round n to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -19 (b) -2 (c) 2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18\/11 + -125\/33. What is the common denominator of b and 19*(-2 - (-14)\/6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - t - 682, -3*u = -5*t - 1023. Let q = u - -666. What is the common denominator of 97\/18 and 22\/77 + q\/126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/(41\/4182). Let s = 225 - l. What is the remainder when s is divided by (-5 - -6)*76\/2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/10736 and 49\/663619.\nAnswer: 10617904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 733, 901, 1029, 1099, 1093?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*k**2 - 421*k**2 + 0 - 9.\nAnswer: 2*k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*(-4)\/(-18)*15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3*r**2 + 21*r**3 + 22 - 57 + 15 + 2*r + 17. Suppose -2*w - 2*w + 16 = 0. Is p(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + 4*y - 2. Let a(n) = -2*n + 38*n**2 + 2 - 41*n**2 - 3*n. Give -4*a(i) - 5*q(i).\nAnswer: -3*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.959699522 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 6)*-9*6. Which is smaller: f or 55?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4742*i + 4754*i = 0. Factor 1\/4*n + 0*n**3 + 1\/2*n**4 + i - 1\/2*n**2 - 1\/4*n**5.\nAnswer: -n*(n - 1)**3*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126 + -143 + (-1 - 0) + (1 - (2 + 1)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12f59 (base 16) to base 11.\nAnswer: -53388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + 32. Let w = -61.3 + h. Let x = 9 - 9.5. What is the closest to -2\/9 in w, -5, x?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-156 + 156 + 4*i**2)*(-i + i - 2*i**3) - 307*i**4 + 307*i**4 - 19*i**5 + (2*i**3 - 3*i**3 + 0*i**3)*(i - 2*i**2 - i).\nAnswer: -25*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56330 and 602?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6286 by 14.\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -296.\nAnswer: -21\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 28 = l, 4*j - 9 = j. Let i = l - -44. Solve 0 = -t + 3*t, 5*t = i*d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -7.8. Let w = k + 8. Let x = w + -10. Round x to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 326 and 2934.\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 8:14 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1795 - -1800. What is the nearest to 1 in q, 1\/5, -0.5, -2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/440*(-20889)\/(-11394)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 10*t + 0*t + 3*t + 3*t.\nAnswer: -4*t + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (-1 + (5 - 3))) + (9 - -43) + 1?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**3 + x**3 - 2*x**2 + 4*x**3 + 0*x**2 - 2*x to d*x**3 + b*x + o*x**2 + j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 - -42. Let k be 88\/(-14) + (3 - i\/(-21)). What is the tens digit of -4 + 88\/6 - 2\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 + 17 = 0. Suppose 4*d + 1 = a*b, -b = -4*d + d - 7. Let u(f) = -f**3 - f**2 + 3*f - 4. List the prime factors of u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -13. Suppose 4 = x - 1, 3*t + 5*x + w = 0. Does 3 divide 30\/(-4)*8\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 5) to base 16\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456463901.\nAnswer: 2309, 197689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 169 (b) 0.227 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 10. Let k be 34\/66 - j\/(-22). What is the biggest value in -1, k, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 10557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -317 - 64?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -69 - -96 - (23 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185.088ng in kilograms?\nAnswer: 0.000000002185088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r**(-1\/4)*r*r))**30\/(r**(-1\/2)*r**(5\/3)*r) assuming r is positive.\nAnswer: r**(106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13665?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 - 3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9055 + -9054. Solve v = 3*r - i, 56*r - 61*r = 5*v - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/10 of a hour?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - m - 31 = 0, 2*m = -5*p + 20 + 8. Suppose 0 = 4*u + y - 235, -p*u = -4*u - 3*y - 107. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sisssosiisssoss. What is prob of picking 1 i and 2 o?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**2 + 11*r**4 - 6*r**2 + 4*r**4 wrt r?\nAnswer: 360*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61 times 90543\nAnswer: 5523123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.007537 + 1.392463. Let m = -0.5 + 0.1. What is the nearest to 2 in m, n, 0.5, -3\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 112*w**2 + 3249*w - 24. What is l(-29)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 - 247750*s**2 - 3069498565*s - 12274030580.\nAnswer: -5*(s + 4)*(s + 24773)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -16. Suppose b - j = -4*b. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 4625\/6, 1.49, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -115*n - 119. Let t be q(-1). Which is the fourth biggest value? (a) 0 (b) t (c) 2 (d) 0.5 (e) 46\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m**2 + 6*m**2 - 15*m**2 - 6 + 3*m**2 + 3*m. Give v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20439 + 20451. Solve -4*m = i, 0 = 5*c + 5*m + 34 - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -7 - 0. Let q = s - -2. Let f be (-2)\/4*(q - -5). Which is the second biggest value? (a) f (b) -2\/25 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**3 + 19*w**2 - 106*w + 662. What is o(6)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179882.\nAnswer: 2, 53, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15587*b**2*j*u**3 + 1017*b**2*j - 236*b*j*u**3 - 16*b*j*u + 194*b*j wrt u?\nAnswer: -93522*b**2*j*u - 1416*b*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/g**(2\/47)*g**32 assuming g is positive.\nAnswer: g**(1596\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1682 and 25984?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -k - 5. Let m(a) = -3*a + 1. Let n be m(k). Calculate the remainder when 113 is divided by (-29)\/n*(-9 + 11).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 370548*a + 34326455076.\nAnswer: (a - 185274)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12087.2 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 990967.3 centimeters to meters.\nAnswer: 9909.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4744243.\nAnswer: 7, 19, 35671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065 is divided by (-142)\/13 + 11 - (-1390)\/13.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*c - 71, -1206*t - 65 = -596*t - 611*t - c for t.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 716 - 238 = -r, -3*r + 3*i + 2886 = 0. Suppose 4*o - 781 - 197 = -5*l, 5*l = 2*o + r. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 400439121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12555 and 2025.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2744\/(-154)*(-33836)\/10766.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**6\/60 - 113*u**5\/30 - u**4\/3 + 452*u**3\/3 + 30*u**2 + 4*u. Factor s(w).\nAnswer: 2*(w - 113)*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jn when two letters picked without replacement from trtdjndtdkdrkdjdrn.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**4\/7 + 10*n**3\/7 - 12*n**2\/7 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p = -3*s + 27*p + 3900, 5*p = -2*s + 2575. Calculate the greatest common divisor of s and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 29081.\nAnswer: 523458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 150\/(-24) + 2\/8. Let s = -3 - c. Solve 2*y + 3 = -s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405097355?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99671867, -99671862, -99671857, -99671852, -99671847?\nAnswer: -99671842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62? (a) 0.26 (b) 3.4 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -589.8 smaller than 0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -17 (b) 0 (c) -1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {n: 2, d: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/2))**(6\/13) assuming p is positive.\nAnswer: p**(-9\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 4. Is b*12\/9*3 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 2*n**4\/3 - 11*n**2\/2 + 19*n. Differentiate w(j) with respect to j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f - 6. Suppose -4 = v - 4*i, 2*i - 1 = 5. Let n be t(v). Suppose -n*p = -0 - 30. Calculate the greatest common divisor of p and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 3*n**3 - 3*n)*(0 - 2*n + 0)*(-4 + 1 + 4).\nAnswer: -6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-12)*((-8)\/(-6) + 36\/216).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 1:07 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 times 5\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-280 - -286) + (1 - -43).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5\/15 - 868*n**4\/15 + 37182*n**3\/5 - 4384216*n**2\/15 - 9106552*n\/15 - 307328 = 0.\nAnswer: -1, 98, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 282453*g + 321627 wrt g.\nAnswer: 282453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 10 + 2 = 0, -5*r + 12 = -2*t. Factor -9*z**2 + 24*z**2 + 0*z**3 + 7 - 5*z**r - 25*z**3 + 43 + 85*z.\nAnswer: -5*(z - 2)*(z + 1)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6968 (base 10) in base 11?\nAnswer: -5265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 24701*o - 197617. What is j(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -6. Let w be 114\/22 - a\/(-55). Let u be (2 - 3)\/(w\/(-55)). What is the highest common factor of u and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 7. Calculate g(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 27. Let u = -95 + 92. Let f(n) = -24*n - 13. Calculate the remainder when f(u) is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-11) + -5*18\/165\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 4. Let n be i(-3). Let t be 3 + (-1)\/(-2)*6. Suppose j = -0*a - 2*a - 8, -a + 4*j + 14 = 0. Put t, a, n in descending order.\nAnswer: t, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1392*k - 93005 = -4389*k + 2018*k for k.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -14 (b) 368 (c) 0 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 minutes before 11:13 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - 3 + 3166699*a + 3 - 3166699*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -821*49\nAnswer: -40229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15609337*j**3 + 28291016*j**2?\nAnswer: 93656022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10460)\/(-55) + (-4)\/22. Let t = c - 125. Let r = t + -12. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494507 divided by 38039.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5131 * -23.\nAnswer: 118013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 293*c**6\/6 - c**4 + 1553*c**3\/3 + 1056. Find the third derivative of z(m) wrt m.\nAnswer: 17580*m**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, -1, -5806, 5, 2.\nAnswer: -5806, -1, 2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*h = -4855, -2*h = -q + 3*h + 4846. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478 is divided by 120?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -365991.\nAnswer: 1\/365991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -306?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6382, -6711, -7040?\n\"Answer: -329*s - 6053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/1)\/((-1)\/4). Let a = -27 + g. Let j = 29 + a. Solve -3*n - 4 = v, 36 = 4*v - 2*n + j for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Suppose -6*f = z*a - 3*f + 24, 0 = 4*a - 3*f + 48. Let u = a - -30. What is the greatest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-420)\/(-168)*52\/(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -440403.128352 and 0.015.\nAnswer: -440403.113352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -39, -4, -2, -49, 11.\nAnswer: -49, -39, -4, -2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 398.1 + -398. What is the nearest to k in -0.3, 153, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509911702 a multiple of 323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(sqrt(65) + sqrt(65)*-4))\/(sqrt(35)\/(sqrt(7) + sqrt(7)*2) + 1*sqrt(45)).\nAnswer: -27*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210895194 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85\/3 - 29. Are y and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**3 - 41*u**2 - 452*u - 748 = 0.\nAnswer: -22, -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/((g\/(g*g*g*g**10))\/g))*g*g\/(g\/(g**(2\/5)\/g))*(g*g\/(g**(-2\/13)*g)*g)**(-36) assuming g is positive.\nAnswer: g**(-5859\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30922*m + 309 = -31025*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 3*r - r. Suppose -i - 60 = -o - 2*o, 4*i - 80 = -4*o. Let l = r - o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9617 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1988390*p**2*w**2 - 18820*p**2*w - 14*p**2 + 3*w wrt w.\nAnswer: -3976780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. Let m = b + 27. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 + -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108 or -3857?\nAnswer: -3857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/13 and -31\/2054?\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 205231 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.055.\nAnswer: 0.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -405\/2, 5, 2, -3, -1\/9 in descending order.\nAnswer: 5, 2, -0.02, -1\/9, -3, -405\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1694) - sqrt(1694)*-1)*1)\/(((sqrt(96)*-3 + sqrt(96))\/sqrt(6))\/sqrt(8)).\nAnswer: -11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s + 0*s + 38 = -4*t, 4*s + 3*t = 3*s + 44 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273053860 by -5.\nAnswer: -54610772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3349 + 3348. Is 1\/971 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5809\/78 + -966\/13. What is the third smallest value in -1, v, -7, -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**3 + 56*k**2 + 13*k - 189. Give y(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -442 divided by 1297.\nAnswer: -442\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 - 0) + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-30)*(-1 + 2 + -11)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k + 2 = -6*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**2*p**2 - 435304827*n**2*p - 116154620*n*p**2 wrt p?\nAnswer: -2*n**2 - 232309240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + -166. Let z = 176.564 + s. Let b = -0.54 - z. What is b rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/3)\/(5\/6). Let c = -150 + 153.96. Let q = c - -0.04. Is b >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Let s be (-83 + 1)*l\/(-6). Suppose 2*y - 5*y = -3*u - 36, s = 4*y + 3*u. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8.64, -5, 1\/4, -4, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 - 5*f + 1. Let x(y) = 7*y**2 + 4*y. Let s(t) = -2*d(t) - x(t). Let p(b) = b. Give -6*p(z) + s(z).\nAnswer: -3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2. Let z(x) be the third derivative of -x**4\/8 + x**3\/6 - 30*x**2. Determine h(z(i)).\nAnswer: -18*i**2 + 12*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 43. What is the common denominator of -19\/2 and (-175)\/21 + l*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9133 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l - 31\/132*l**4 + 0 + 7\/165*l**5 + 16\/33*l**3 + 1\/660*l**6 - 232*l**2. Factor f(k).\nAnswer: 2*(k - 1)**2*(k + 16)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-2) - -6)\/(20\/(-5)). Solve u = -3 - x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 + 207 = -8*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 50*n - 2129881 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13778*n**5 + 2*n**3 + 232478*n?\nAnswer: 275560*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*f**5 - 5*f**5 - f**5 + (0 + 2*f + 0)*(-4*f**4 - 3*f**4 + 5*f**4)*(6 - 2 - 5).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 45 - (5 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*r - 547016 = -l, 4*l = -2*r + 437608. Round l to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + p - 26 + p**2 + 26.\nAnswer: -4*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**5\/5 - 30*q**4 - 526*q**3\/3 - 348*q**2 - 1955*q. What is c in k(c) = 0?\nAnswer: -87, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -86\/7231 (b) 2\/5 (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.037 (c) 2\/2049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124 - -129.1. Let s = -0.12 - 4.88. Let o = l + s. Which is smaller: o or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71616 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*s = 5*s - 75, 0 = -3*x - s + 83. Suppose -x*b + 25*b - 5*j = -111, 2*j = 3*b - 138. Which is smaller: 45 or b?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a - a - 27*a**3 - a**4 - a**2 - 12*a + 17*a to n*a**2 + h*a**4 + o + t*a + m*a**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 503.8.\nAnswer: -5038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {u: 1, j: 2, y: 3, o: 4, d: 2, l: 6}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (27 + -53)*(1 - (-2 + 5)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -5*o**9\/56 + o**6\/24 + o**5\/20 - o**4\/24 + o**3 + 2343*o**2. What is the third derivative of h(l) wrt l?\nAnswer: -5400*l**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 13*f + 67. Let p be b(-5). Let k(r) = r + p*r - 2*r + 2*r - r. Let c(u) = -17*u. Determine c(k(v)).\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, t: 8, g: 2, y: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.2. Let k = p + -0.1. Let y = -0.8 + k. Which is the second biggest value? (a) 0.3 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 106. Calculate the remainder when 23 is divided by u(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1690)\/(-5))\/2 - (2 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 287567702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1334*g + 2693*g = 1347*g + 252 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(8 + 4\/(-2)). Let o = 4 - 4.5. What is the nearest to 1\/3 in o, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + -3 + (-1 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 175\/(-49) + 3 - (-544)\/(-28). Sort a, 8, 4, 3\/4 in decreasing order.\nAnswer: 8, 4, 3\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -12832552?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52302145 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(425) - sqrt(425)*2*2)**2 + (sqrt(272)*-6 + (1 + sqrt(425))**2 + sqrt(17))*4.\nAnswer: -52*sqrt(17) + 5524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 766899308 a multiple of 1028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2210 + 11224?\nAnswer: 13434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2763 (base 9) to base 12.\nAnswer: -1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from ljlhljqjjq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (27\/6)\/(6\/(-8)). Let y = v - -8. Suppose 0 = y*p + 2 - 10. Solve 5*f + 0*f = 2*g - 11, 9 = p*g + 3*f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-86)\/(-4) - 0 - 1\/2. Let w(y) = 1434 - k*y**2 - 1434. Let o(l) = l**2. Calculate w(o(i)).\nAnswer: -21*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -n**7\/35 - n**5\/12 - 5*n**4\/24 - 12*n**2 + 2*n. What is the second derivative of f(q) wrt q?\nAnswer: -72*q**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0774562245 - 0.33?\nAnswer: -0.2525437755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**5 - 15*g**4 + 15676*g**3 - 15609*g**3 + 300 - 59*g - 261*g - 33*g**2 = 0.\nAnswer: -2, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5817, 4203, 1513, -2253?\nAnswer: -7095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 12:20 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21202.1 - 26924.\nAnswer: -48126.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -80a - 6?\nAnswer: -814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-five halves of a tonne in kilograms?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 206.22 - 0.22. Let s = 205.94 - j. Which is the smallest value? (a) 1 (b) 4 (c) s (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:26 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79841.64 litres to millilitres.\nAnswer: 79841640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/11 - 166532\/88638?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2361, 190, -2 in ascending order.\nAnswer: -2, 190, 2361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**6\/f*f*f*f*f**(2\/7)\/f*f*f**(-3)\/(f**(-1)*f))**(-2\/63))**(-2\/83) assuming f is positive.\nAnswer: f**(68\/12201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971 is divided by 539.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 4:13 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -351216\nAnswer: -3863376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16\/32 - 30\/52\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -0.08 (b) 6859 (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1788, 2898, 3982, 5028, 6024, 6958, 7818?\nAnswer: 8592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 11. Let d(y) = -y + 1. Let o be d(0). What is the highest common divisor of o and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - (-7 + 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -a + 8, -2*o + 3*o + 49 = 4*a. What is the lowest common multiple of a and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w + 29 + 29 = -26 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 25 = -4*w - 3*q, 0 = -4*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1483 + -832. What are the prime factors of s?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 8*j - 6. Let y be n(-6). Suppose 45 = -y*m + 3*m. Does 14 divide 112\/1*m\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6507 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**6\/60 + 8*n**5\/105 + n**4\/21 - n**2 - 7*n. Let g(p) be the first derivative of t(p). Factor g(d).\nAnswer: 2*d*(d + 2)*(7*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 5\/(-18))*15\/(-25)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 11. What is the biggest value in 0.5, -4, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12510 by 97.\nAnswer: 12510\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43887, 185, 0, 1.\nAnswer: 0, 1, 185, 43887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453 - 5*b + 456 - 909.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 - -222011212?\nAnswer: 222010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1.8. Let w = -74943 - -74944. Which is the nearest to w? (a) 1 (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11260000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1 - -2. Let c = -0.8 + 2.8. Let d be ((-1)\/(-1))\/(2*2). What is the third smallest value in d, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -425\/138 - -19\/6. Let m be 2\/(-5) + (-22)\/(-5). What is the closest to p in m, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/4 - 3*o - 9.\nAnswer: -(o + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1254 is divided by 410.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12*4\/(-540))\/((-8)\/80). What is the smallest value in 0.8, -4, d, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/8885 and -54\/5?\nAnswer: 8885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.485423 centimeters?\nAnswer: 0.00002485423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-6\/11)*(m*m**(1\/23))\/m*((m**(2\/9)\/m)\/m)\/m**(-22))**(-5\/11) assuming m is positive.\nAnswer: m**(-235900\/25047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 551 in -0.1, 1, 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 109 = 1. Let x = h - 45\/2. Is x at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4\/r**1*r\/r**(-2\/3)*(r*r\/(r*r**(1\/11)))\/r*(r*r**0*r**(-1\/4))\/(r**1*r\/((r*r**(2\/21)*r)\/r)) assuming r is positive.\nAnswer: r**(4085\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64160004*z**4 - 226*z**2 + 89652*z.\nAnswer: 1539840096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20454*m**2 + 61266*m**2 - 20438*m**2 - 20445*m**2.\nAnswer: -71*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*d + 10 = 2*p, -22 = -3*p + 2*d. Let k(x) = 13*x - 9. List the prime factors of k(p).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05128 + 0.0512797653. What is w rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181\/918 + -14\/459. What is the third smallest value in x, 33, 0?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8145 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(44)\/(4*sqrt(64)) + (sqrt(176)*-3 + -2)**2).\nAnswer: -9528 - 2307*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 5*y - 4*y**3 + 9*y**3 - 3*y**3 - 5*y**2. What is a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -39599*r + 1043. Let v(k) = 13200*k - 391. What is 3*t(p) + 8*v(p)?\nAnswer: -13197*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 6 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 793 + -50 + 38. Calculate the greatest common factor of 2698 and k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 14 = -5*j, 4*x - 11*j + 6*j = -11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -20. Is 0.4 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 1. Let a(i) = -2*i**2 - 3. Give -a(r) - 4*f(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, z: 3, p: 1, u: 5, d: 3}. Give prob of picking 3 i and 1 p.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -8*b + 5. Let f be -2*2\/20 - (-1536)\/30. Let y = f + -59. Let w be (-1)\/((4 - 2)\/(y - 2)). Let p(g) = -4*g + 3. What is w*p(o) - 3*x(o)?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*i**3 + 28*i**2 - 28*i**2)*((-i + 0*i - i)*(1 - 3 + 3) + i - 3 + 3)*(-2 + 3 - 8).\nAnswer: 210*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 16) to base 4.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*i = 24*i + 24*i + 299. What is the remainder when 458 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 186 = 264. Let k be ((-909)\/99 - -9) + 774\/22. Suppose k = 2*a - m, a - 5*a - 2*m + t = 0. Calculate the least common multiple of 12 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 156\/4 + 1 + -4. Suppose -v + 3*l - 12 = -2*l, -3*l = 3*v - c. What is the lowest common multiple of 14 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*(r\/(r*(r*r\/(r\/(r*r\/((r**(-5\/8)*r)\/r))))\/r*r))\/r*r)\/(r\/(r*r**(2\/5))*r))**(-2))**(8\/11))**(-11) assuming r is positive.\nAnswer: r**(-258\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3102 or -3109?\nAnswer: -3109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k = 23*k. Suppose k = -8*r + 190 + 66. What is the highest common factor of 80 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1320 + -1011123?\nAnswer: -1003203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*z = -195, -2*l + 6*z = 2*z - 84. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219744, -878932, -1977580, -3515688, -5493256?\nAnswer: -7910284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6605 + -3.\nAnswer: 6602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/(-15)*(-35)\/2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6810 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*h - 15, -2*g + h = 5 - 0. Suppose 254*w - 259*w + 20 = 0, 3*w - 16 = -2*j. Solve 5*u + k - 5 = g, -u - k - 1 - j = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 251160 and 71136?\nAnswer: 57264480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 25. Is s equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 3 - (16 - (-2 + -2))) + -35 + -32.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a year in months?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 273*t + 1607. Calculate h(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8985 and 3*(-7)\/4*(-88)\/66?\nAnswer: 62895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45021886 divided by -247373\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d**2 + 2*d - 2. What is the remainder when u(-2) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/525352 and -101\/2626760?\nAnswer: 2626760","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -941fa1 + 0?\nAnswer: -941fa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 5*s - 2*s + 3*s**3 + 7*s**3.\nAnswer: 10*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 0 - 9) + -4. Let s(n) = n**2 + 10*n + 1. Let b be s(g). Solve 20 = -5*a - 5*m + 2*m, -3*a = 2*m + b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 + 6*m**3 + 20 - 3*m**2 + 3*m**2 + 6*m**3 + (-4*m + 3*m + 3*m)*(2*m**2 + 0*m**2 + 0*m**2) + 3*m**3 + 0*m**3 - 4*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 4:36 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3 + 344*p**2 - 3912*p + 11520 = 0 for p.\nAnswer: 6, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 7*y + 2. Let v be n(-7). Suppose v*d - 209 = 205. Is 207 != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -18*a**3 + 34*a**2 + 5*a + 4. Suppose -16 = -4*d - 0. Let x(f) = f**2 + f + 1. Let h(m) = d*x(m) - k(m). Find the third derivative of h(p) wrt p.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -65*u**6\/4 + 285*u**3 + 2*u**2 + 1251*u. What is the first derivative of c(m) wrt m?\nAnswer: -5850*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 516?\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**4\/24 + l**3\/6 + 3*l**2. Let z be i(-2). Let m(s) = s - 1. Let p(k) = -k**2 + k - 1. Determine z*p(u) + m(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, f: 2}. Give prob of picking 1 f and 1 l.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3.268+5\nAnswer: 1.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177 - -273. Let m = 97.02 - n. What is m rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-5 + 8)\/1). Let j(w) = -10*w + 3. Let i(f) = -f + 1. What is n*j(z) - 4*i(z)?\nAnswer: -6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-161)\/(-6) - ((-75)\/234 - 40\/(-260))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/72*-3*(-21)\/6. Which is the closest to 2? (a) x (b) 0.06 (c) -1 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741 and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 13*r + 83. Give p(-14).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 12:07 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40607 by -4.\nAnswer: -40607\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4 + 1. Let n = -2 - c. Let a(m) = -21*m**2 + 7. Let y(t) = 10*t**2 - 3. Let z(w) = 2*a(w) + 5*y(w). Give z(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1031*c - 15. Let z(j) = 327*j + 5. Calculate 6*m(k) + 19*z(k).\nAnswer: 27*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 6457 - 6440 + 12897.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2 + 50*f + 63. Calculate the smallest common multiple of 318 and p(-9).\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*c**3\/9 + 78286*c**2\/9 - 152534086*c\/9 - 892615882\/3.\nAnswer: -2*(c - 3923)**2*(5*c + 87)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-14)*((-12)\/48*2)\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.178597098 - -841?\nAnswer: 841.178597098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -9 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfel when four letters picked without replacement from llmflmfhhmhmmmqmmemq.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 1. Let s(f) = 67*f**2 + 3*f + 5. Calculate 5*q(n) + s(n).\nAnswer: 67*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008952834 to 7 dps.\nAnswer: 0.0000895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u - 5. Suppose -u*y + 0 - 9 = 0. Let m(n) = -4*n + 2 + 6*n - n. Calculate m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4005613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - 9*p. Let t(h) = -2*h**3 + 6*h. Let m(g) = -7*t(g) - 5*z(g). Let a(l) = l**3 - 3*l**2 - 4*l - 3. Let k be a(4). Is m(k) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -411, -412, -413, -414?\n\"Answer: -m - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((5 + sqrt(567)*-1 + 2 + -2)*-4)**2*-6.\nAnswer: -56836 + 8640*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqqqllellqlel. Give prob of sequence eel.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 2*c + 1. Let n be v(1). Suppose s - n = 13. Let t = -16 + s. Sort -4, t, 1, -5 in decreasing order.\nAnswer: 1, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 173425\/2?\nAnswer: 173425\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 6*h + 4*y - 36, 0 = -h - 2*y + 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1319, -1364, -1467, -1658, -1967?\n\"Answer: -5*k**3 + k**2 - 13*k - 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 1\/120*i**5 - 14*i**2 + 0*i - 1\/6*i**3 + 0 + 1\/48*i**4. Determine y, given that q(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 2:34 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -127, 0.05, 8, -1.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/6, -2\/3, 34 in ascending order.\nAnswer: -5\/6, -2\/3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2*j - 18. Let w(u) = u**3 + 5*u**2 - 4*u - 73. Determine 7*c(m) - w(m).\nAnswer: -m**3 + 2*m**2 - 10*m - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 183336.591 - 183668. Let y = c + 0.409. Which is smaller: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 3*x**5\/40 - 81*x**4\/8 - x**3\/4 + 243*x**2\/4 + 125*x - 1. Factor g(l).\nAnswer: 3*(l - 81)*(l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11291 < 10157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -307 - -186. Let z = k - -1209\/10. Let d(b) = -2*b**3 - 62*b**2 - 115*b + 28. Let v be d(-29). Which is greater: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 5:55 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*g**3 - 10*g**3 - g**2 + 2*g**4 - 2*g**3 + 0*g**2 as f*g**3 + i*g**4 + k + r*g + q*g**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 1)*(-2)\/(-4). Suppose -5*v + 3*q = -37, k = v - 2*q + 3*q. Let j = 222\/11 - 2864\/143. What is the second biggest value in -3\/4, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 49, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10690625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**5\/70 + c**3\/21 - 23*c. Factor q(x).\nAnswer: -2*x*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**7\/210 + q**6\/20 + q**5\/3 - 2*q**3\/3 - 428*q**2. What is the third derivative of n(s) wrt s?\nAnswer: 24*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34711, 34716, 34721, 34726, 34731, 34736?\n\"Answer: 5*u + 34706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2. Let j be g(-2). Let u be 147798\/(-136) - 1\/j. Round u to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + h + 13 = 0, -3*a + h = 3*h. Suppose -z = -0*z + a. Let f(b) = -753*b + 4. Let x be f(z). Round x to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -5. Let m = 3 + n. Let f = -0.86 - -3.86. Sort -5, f, m in descending order.\nAnswer: f, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 7*u + 15. Let n be y(8). Let z(q) = -20*q + 6 + 37*q - q**3 + n*q**2 - 22*q. Is z(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 3*a)*(0 + 4 - 2)*(-4*a**3 + 0*a**3 + 2*a**3)*(-1 + 1 - 1).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 30 (b) -1 (c) 0.2 (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**6\/6 - b**5\/2 + 5*b**4\/12 - 33*b. Suppose w(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -57. Solve f*l + 4*n - 10 = -0*n, -2*n - 6 = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2*3)\/(sqrt(36)\/(sqrt(12)\/sqrt(3))).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3959\/3 + 1336. Find the common denominator of y and 64\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80075 is divided by 112.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7271.434mg in tonnes?\nAnswer: 0.000007271434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 12 = -5*k. Let y = -12 + 8. What is the second smallest value in k, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3 + 6*d**2 + 13*d - 42 = 0. Calculate d.\nAnswer: -3, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + z**2 + z. Let k(p) = -2*p**3 + p**2 - p - 1. Give -g(i) - k(i).\nAnswer: 3*i**3 - 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3493 is divided by 60?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d - 9. Let y(b) = 7*b + 6. Suppose c + 5*f = 2*c - 16, -c + f + 12 = 0. Suppose -h + 5 = -a, -3*h + 6 = a + c. Calculate a*z(g) - 8*y(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.05 (b) 5 (c) 0.2 (d) 42 (e) -4 (f) 21 (g) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13461524 and 28?\nAnswer: 94230668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420 > 1420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {d: 3, w: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m - 39 = 0. Is m a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -46*h**5\/5 + h**4\/4 + 2*h**3\/3 + 205*h**2\/2 - 185. Find the third derivative of t(b) wrt b.\nAnswer: -1104*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**6\/720 - a**4\/6 + a. Let z(q) be the third derivative of b(q). Let w(t) = 4*t - 3*t - 2*t. Calculate z(w(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + (-25 - (-2 - 14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**5\/11 + 96*x**4\/11 - 1678*x**3\/11 + 1168*x**2 - 39936*x\/11 + 28672\/11 = 0. Calculate x.\nAnswer: 1, 7, 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e2737 - 4?\nAnswer: e2733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79)\/632*16\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 94*j**2 - 8*j - 12. Let z be o(-6). Suppose -76 + 6 = -14*d. Suppose 2*r + p - z = -p, d*p + 5154 = 3*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 2, l: 2}. Give prob of picking 2 c and 2 z.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25208 + -63?\nAnswer: -25271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*r - 8 = 7, -2*q + r = 5. Suppose -c - 4*w = -39 + 4, q = -2*w + 10. Suppose -p = 2*p - c. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 11*f - 4. Let w = -13 + 22. Calculate the remainder when x(9) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61535*x - 394*x**2 + 61535*x as z*x + j + i*x**2 and give i.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i**(-4\/13))**(5\/2) assuming i is positive.\nAnswer: i**(10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 4:52 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 + 410*y - 1261. What is a(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*a - 131, -4*a - 23 = 3*i - 144. What is the remainder when 192 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (1 - (1 - -1)). Is ((-19)\/j)\/(2\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((-98)\/35) - (29 + 10).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7180707*u**3 + 7687420*u.\nAnswer: -43084242*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 279702 and 7255197?\nAnswer: 594926154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 3, x: 2, h: 1}. What is prob of sequence ff?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.5 minus 0.008161121113?\nAnswer: -118.508161121113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.467042l?\nAnswer: 1467.042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*r**3 - 26*r**2 - 13*r**2 - 27*r**4 + 54*r**5 + 6*r**4 - 57*r**5 - 12*r.\nAnswer: -3*r*(r + 1)**3*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56598?\nAnswer: 2, 3, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 67*f**4\/2 - 20*f**3\/3 - 5*f**2 + 314. Find the first derivative of l(k) wrt k.\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000111011011 + 11001?\nAnswer: 111000111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 11:38 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -5*p**4\/4 - 5*p**3 + 20*p - 13. Suppose y(d) = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*f**3 - 4*f**2 - f**2 - 408*f**3 + 136*f**3.\nAnswer: -487*f**3 - 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 40*p**2 + 9*p - 80. What is l(40)?\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96304 and 7488?\nAnswer: 3466944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6474*c - 4. Let y(b) = b**2. Give i(y(z)).\nAnswer: -6474*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 183 divided by 347\nAnswer: 183\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*m - 174. Suppose 46*t + 3 = m*t. Let p(j) = j**3 - 6*j**2 - 5*j - 1. Let i be p(7). Solve x + 5 = 4*s + i, -3*s - t*x = -9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 13*k + 4. Let c be 170\/(-4)*(3\/5 - 1). Calculate the remainder when s(c) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 0.0325.\nAnswer: 4.0325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oeljltot. What is prob of sequence ttl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704638 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-1))\/2*6503\/(-4645)*250\/28?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8717.309 millennia?\nAnswer: 87173.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, k: 4, n: 3}. What is prob of sequence kn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 13 = 2*u - 2, 4*u + 3*y = -19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*(((y\/(y\/(y**2\/y)))\/y*y)\/y)\/y))))**2*(y\/(y\/(y\/(y**(7\/2)*y*y)))*y)\/(y*y**(-9)*y*y) assuming y is positive.\nAnswer: y**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -6, -7825 in increasing order.\nAnswer: -7825, -54, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 smaller than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 at least -278892\/2137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 1. Let c(y) = -2*y**2 - 2*y. Let g(n) = n - 9. Let r be g(10). Let a(x) = r*d(x) - c(x). Let h be a(1). Solve -k = h*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 2011211020?\nAnswer: -2011211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74\/11 + -137\/22. Let u = -3 + 2.6. Suppose 5*f + 7 = -13. Which is the nearest to o? (a) u (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -64902, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m - 84 = -2 + 47 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 3*k + 2. Let l be m(3). Let w = 2.2 - 1.2. What is the nearest to w in 4, l, -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 3)\/((-12)\/(-8)). Let h be (-1 - 0)*(u - 1). Suppose 4*m - 2*o = 204, m - h*o = 3*m - 86. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g + 1. Suppose 5*z + 3*i - 53 = 0, -z = -5*i - 4 - 1. Let f = z + -10. Suppose f = u + 4*q + 5, -u - q - 5 + 3 = 0. Give d(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u + 85. Let h be c(-16). Solve 0*i - h = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 + 2*k + 3. Let b be j(-1). Let v(i) = 39*i - 34. Let d be v(b). Calculate the greatest common factor of d and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 0, -2*m + 12 - 27 = -5*g. Solve 3*k = l, 0 = 14*k - 17*k + g*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6079 - 5331. What is the least common multiple of 220 and q?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = i. Let t = 1 + i. Suppose 0 = t*g - 7 - 9. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05494 to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283781, -283625, -283363, -282995?\nAnswer: -282521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*y**(-2)*y)\/y))**38*y**(-2)*y*y**4\/y*y)**(-10\/7) assuming y is positive.\nAnswer: y**(-790\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10724230 and 9?\nAnswer: 96518070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjhmmjjjjjh. What is prob of picking 2 m and 2 h?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at most as big as 0.653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 10*g + 7. Let w be d(-10). Suppose -5 = 3*k + w. Calculate the lowest common multiple of 46 and 1*(0 - k) + 4.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (14 + 22)\/(3*(-4)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 0*z - 2\/7*z**3 - 2\/7*z**4 + 0 + 0*z**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 191299402 and 959?\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3a359 + 26?\nAnswer: 3a380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 2 + (-6 - 7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = -3*t - 2, 3*t + 4*b + 12 = 0. Let o(u) be the first derivative of -5\/2*u**2 - 133 + 5*u. Determine o(t).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 659680 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brebyzuu. What is prob of sequence zbby?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1691 - -1904. Calculate the remainder when 3191 is divided by a.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(60\/8 - 2). Suppose 3*b = -n - k, -2*n - 4*b = -3*b + 2. Is n\/5 + (-654)\/(-30) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -10. Let w be (-116)\/(-20) - (12\/(-10) - -2). Suppose -2*l = -i - 1, w*i - l = -6 - 8. Sort 11, y, i, 2 in descending order.\nAnswer: 11, y, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24854.09 - 24854.49. Let p be 3*(32\/6)\/(-1). Let q be ((-2)\/(-40))\/((-6)\/p). What is the biggest value in -3\/8, d, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/20 and -89\/110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fefo when four letters picked without replacement from ffffeoio.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 11*u**2 + 12*u + 2. Calculate x(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617028897 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 169*t**3 + 437?\nAnswer: 507*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 17 + -17 - 11 - (1 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -96 + (31 - 22). Let m be ((-100)\/(-6))\/(4\/30). Let x = t + m. What are the prime factors of x?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/6)*(i*i\/(i\/i**32)*i)\/i*i*(i*i\/i**(-26)*i)**(-35) assuming i is positive.\nAnswer: i**(-5887\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 12*t**3 + 5 + (7*t - 46*t + 0 - 1)*(3 - 2 - 3)*(5*t**2 - 2*t**2 - t**2) as x*t**2 + b*t**3 + i + j*t and give b.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -140*m**2 + 411*m + 212. What is the thousands digit of v(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 - 4*u + 7. Let d be i(-4). Let z = -18 - -7. Let y = z - d. Is y >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266919096 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 234*a - 19. Is t(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.5 + 4.9. Let t = -4.5 - y. Let p = t - 4.0999864. What is p rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47814244?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*13*(-5)\/65)\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*z - 29*z + 2*z to i*z + x and give i.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)*i\/i**(-5))\/(i**5\/i**(-4\/3)) assuming i is positive.\nAnswer: 1\/i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let l(d) = 8*d**2 - 2429*d. Give l(m(z)).\nAnswer: 8*z**4 + 2429*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-2))\/(225\/(-54)))\/(294\/735).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101111001 (base 2) in base 8?\nAnswer: -1571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 5787*w**2 - 290622*w + 284832.\nAnswer: 3*(w - 48)*(w - 1)*(w + 1978)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 4*p**2 + 2*p - 8. Let u(o) = 2*o**3 - 7*o**2 + 4*o - 15. What is -7*l(c) + 4*u(c)?\nAnswer: c**3 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 6*v + 9. Let p be z(6). Let a(t) = t - 6. Let b be a(p). Suppose -c + b = -5. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37250 in -0.15, -4, 2\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j - 2. Let l(u) = u + 1. Let p(n) = 13*l(n) + 6*w(n). Calculate p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-8\/5))\/u*u*u\/(u*u**(-5\/2)))\/((u\/(u*u*u**(-5)\/u*u))\/(u*u\/(u*u**(1\/12))))*(u**(-4\/9)\/(u*u**(5\/6)))**(-1\/38) assuming u is positive.\nAnswer: u**(-1921\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*t = -9, 5*i - 3*t + t = 17. Suppose 0 = -5*u - 2*v + 8, i*u - 2*v - 3*v - 15 = 0. Let b = -2 + u. Is 1 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.99 - -0.01. What is the fourth biggest value in -2, v, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 342270?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18144 and 184023?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 7:13 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17034 = 21*n - 1803. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 2, c: 3, d: 8}. Give prob of sequence cd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*h - 35964, -j = -427*h + 428*h - 35932. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = -16*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4677 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.635 to zero decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26573092 to the power of 1\/3, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - 339?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (75 - 45 - 49 - 20935*h + 19)*(4*h**2 + h**3 - 4*h**2) in the form v*h**2 + t*h**4 + n + x*h + y*h**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11820*f**2*q*u**2 + 6*f**2*q*u + 4*f**2 - 3*f + 1534*u**2 wrt q?\nAnswer: 11820*f**2*u**2 + 6*f**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 8*k + 35. Let a be l(-24). Let x = a + -426. List the prime factors of x.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -86238080894162*i**2 + 170729234*i - 169\/2 = 0.\nAnswer: 13\/13133018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 2:21 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 2:41 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**3\/3 + 10. Let u(m) = -4*m**2. Determine u(r(v)).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/3, 21, 186, -0.38 in descending order.\nAnswer: 186, 21, 1\/3, -0.38, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(176) + 1 + sqrt(176) - sqrt(176)) + ((1 + sqrt(176))*5 - sqrt(176)) + 5)**2.\nAnswer: 440*sqrt(11) + 4521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -56. Let g = 31.00097 - z. Round g to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68*p**5 + 221*p**4 - 136534*p**2 wrt p?\nAnswer: -4080*p**2 + 5304*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/15 - d**4\/12 - d**3\/3 + d**2 - 100*d. Let w(y) = 2*y**2 + y + 1. What is 6*f(l) + 10*w(l)?\nAnswer: -4*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/2 + 0. Let g = 1.1 + 2.71. Let h = 0.19 + g. Which is the nearest to -3\/2? (a) -5 (b) h (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 25*q**2\/2 - q - 5594. Let g(h) = -26*h + 1. Give 4*g(o) + 5*u(o).\nAnswer: 21*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 978824208?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (756\/105)\/6*(168\/18 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 3*l**2 - 3*l - 5. Suppose -3*a + a - 3 = s, 5*s - 25 = 0. Let f be 1 + a + -3 - -7. Let z(p) = -p**3 + p**2 + 1. Calculate f*x(t) + 3*z(t).\nAnswer: -t**3 - 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, 2, 1, -9958, 3 in increasing order.\nAnswer: -9958, -116, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80573 - 140*p**2 + 139*p**2 - 80573.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (676 - 676 - 24*h**2 - 8*h)*(-3*h + 5*h - 4*h).\nAnswer: 48*h**3 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -587.519 + 587. Let o = p - -0.119. Which is the second biggest value? (a) -2\/7 (b) o (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 8:07 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*q - 10 = 124*q - 5*i, -i + 2 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 4 = z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((31\/(-124))\/((192\/(-16))\/(-72)))\/84\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.022 - -13. Let t = -2.122 - u. Let z = t - -2.1000052. Round z to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 2*k**2 - 7*k. Let q(d) = d**3 - 5*d**2 + 17*d - 1. Let c(j) = 5*j**2 - 18*j + 2. Let o(m) = 2*c(m) + 3*q(m). Determine 5*h(r) + 2*o(r).\nAnswer: r**3 - 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 9*d + 2 - 4.\nAnswer: 9*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n**2 + 3*n + 3. Let w be o(-2). Let x = 44 - w. Solve -t + x*j = -6 - 5, 7 = -3*t + j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = -3, 4*k - 34 = 2*x. Suppose -4*q + k + 4 = 0. Let o(t) = 163*t - 2. Is o(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 967608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1518 - 663. Let i = 5141\/6 - c. Let n = -13\/6 + i. Is n equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5*u + 6)*(125 + 217 + 109 + 72 - 125).\nAnswer: -1990*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -0.6, -14, -2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4083 divide 75945327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 100. Suppose -5*k + g = r, -4*k + 0*k = 4*g. Let x(d) = 6*d - 5. Let j(b) = 7*b - 6. What is k*j(l) + 6*x(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1627*s**3*w**2 - 4*s*w**2 - 2*s - 217 wrt s?\nAnswer: 9762*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by 387?\nAnswer: -26\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 180339 (base 10) to base 7\nAnswer: 1350525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115550, 4493, 2.\nAnswer: 2, 4493, 115550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-317*z + 118*z + 110*z)*(-13*z**3 - 14*z**3 + 2*z**3) in the form n*z + i + w*z**4 + x*z**3 + q*z**2 and give w.\nAnswer: 2225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 2*y**2 + 34*y**4 + 32 - y**3 - 36*y**4 to s*y**4 + j*y**3 + n + t*y**2 + r*y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/21588001?\nAnswer: 1\/21588001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001571 rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 + 30 - 30)*(-2 - 2 + 3) + (2*y**2 - 2*y**2 - 2*y**2)*(1 - 1 - 2)*(412 - 11*y - 412) - 2*y**3 + 3*y**3 - 5*y**3.\nAnswer: -52*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14668*b + 27391 = -15305*b for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 3*c**2 - 2*c - 4. Let v(d) = 2*d - 5. Let u be v(4). Let b(s) = 18 - 1 + 3*s**2 - 5*s**u - 16*s**2 + 4*s + 5*s. What is -2*b(y) - 9*x(y)?\nAnswer: y**3 - y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 822864 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173\/105 + 2\/105. Sort 0.3, c, 0.5 in descending order.\nAnswer: c, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3700 + -5?\nAnswer: 36ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -40.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 464302834 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/36 + 369\/(-702)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 12, 4*m = 2*j + 657 - 67. Suppose 241 = 3*o + 2*i, 0 = 3*o - 5*o - 5*i + m. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f - 2. Let z(j) = -4*j + 2. Let n be z(-2). Suppose -n = 2*x - 4. What are the prime factors of i(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 0.22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217\/3258 + -2\/181. Is z <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1729*n - 10430. What is j(6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(5\/2))**(-2\/21)*(((s\/(s**8\/s))\/s*s)\/s)\/((s*s**(-4))\/s))**(1\/13) assuming s is positive.\nAnswer: s**(-68\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53721 and 2221992?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(5\/(4\/12*6)))\/((-186)\/(-20925)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 39, -269 in ascending order.\nAnswer: -269, -4, -3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4763.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155560 divided by -4127?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54.4*-0.5.\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -18*m**2 - 7*m + 27. Calculate a(3).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + y + 8. Let w(b) = -2*b**2 + b + 7. Give 6*f(m) - 7*w(m).\nAnswer: 2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1459.5706 rounded to the nearest ten?\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*d + 49947*d**2 - 49947*d**2 - 4*d**3)*(-5 - 2 + 1)*(2*d + d - 8*d).\nAnswer: -120*d**4 - 1320*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 257 - 40. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2456671 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f - 1. Let w(p) = p - 1. Let m(k) = -2*c(k) + 5*w(k). Let o(x) = 4. Let h be (-2)\/(-4 - 325\/(-80)). Let z = 29 + h. Give z*o(r) - 4*m(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jeeeeejejejej. Give prob of sequence jjee.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 3095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 187152202 to the power of 1\/2, to the nearest integer?\nAnswer: 13680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10551 - 0?\nAnswer: 10551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 - 11*w**2 + 6*w. Let r be x(-6). Sort 4, r, -8, -1 in increasing order.\nAnswer: -8, -1, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/(8\/(-12)*237\/(-1738))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.054 + -1.946. What is the nearest to 0.1 in 0.1, -0.5, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 4*g**6\/15 - 7*g**5\/10 - g**4 + 7*g**3\/3 + 2*g**2 + 2*g + 3. Suppose m(w) = 0. Calculate w.\nAnswer: -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuwrrwuwuurruwu. Give prob of sequence wruu.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5306, 13313, 21320?\n\"Answer: 8007*y - 2701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(3\/4)*r*r**(-8)*r)**47*(((r**2*r)\/r)**(1\/17))**(2\/37) assuming r is positive.\nAnswer: r**(-679933\/2516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 513.2674cm in micrometers?\nAnswer: 5132674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - z = 38, -40 = -5*h - 48*z + 53*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**4 - z**2 - 3. Let l(o) = -61*o**4 - 38*o**2 + 6. Let j(q) = -2*c(q) - l(q). Find the third derivative of j(u) wrt u.\nAnswer: 1512*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00332238 rounded to 4 dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*v + 108*v - 52*v + 5 - v**4 - 1 - 3*v**2 to d*v**4 + j*v + a + g*v**3 + w*v**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 35*n - 3. Let f(i) = -33*i + 7. Determine 4*f(u) + 5*h(u).\nAnswer: 43*u + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12462 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/22 - (1332\/30)\/6.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.885 rounded to one dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 16. Suppose -h + y = 1. Solve -2*a - h - 1 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2126 divided by -698.\nAnswer: 1063\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 7 - 1. Let w = 4 - c. Let i(t) = 3*t - 2. What is i(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 760\/(-275) - (11408\/(-115))\/(-62).\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39173 = -2929*h - 145354 for h.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.5 (b) 2\/3 (c) -2\/3 (d) -1222 (e) 3 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o = -60. What is the greatest common divisor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 2. Let c be r(2). Suppose -6*d + d + 0*d = c. Factor -5*v + d*v + 2*v - 3*v**2.\nAnswer: -3*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -121*q**2 - 1132*q + 758. Calculate l(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(72) + -2).\nAnswer: -16 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 880329 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(-56*f - 36*f + 9*f) + 14*f - 18*f - 22*f - 2*f - 3*f + 6*f to m*f + p and give m.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/4)\/((38\/4)\/19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.078242873 to two dps.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 33*o + 41. Give x(34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w. Let j be p(-4). Suppose 0 = 2*x + f - 195, -x + 2*f + j = -83. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -21 - (-1 - (0 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(-69*4\/(-16))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 2 + 14 = 0. Solve -l*n + 4*n - 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 83 = 15*i. Suppose 270 = 6*q + i*q. Solve -20*s + 10 = -q*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/9405 and -61\/106830.\nAnswer: 22327470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 a factor of 545182880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*x - 18*z + 6*z = -3*x - 66, -3*x = 3*z - 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0.3, 1.9, -1251 in ascending order.\nAnswer: -1251, -12, 0.3, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 785977697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000165138 to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - (-1 + sqrt(1377) + 0)) + sqrt(1377) + sqrt(1377) - ((sqrt(1377) - sqrt(1377)*2) + 1))**2.\nAnswer: 12393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 + 15*g**2 + 8*g + 2. Let r be k(8). Let t be ((-1)\/(3 + 0))\/(r\/(-48)). Calculate the greatest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16446483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 - (-52 - -50).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = n + 1, 2*l + 10 = -3879*n + 3881*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -108?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, m: 2, b: 3}. What is prob of sequence btb?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 15*n**2 + 49*n - 10. Let r be x(-10). Suppose -2*o = 8, r = -3*z + 3*o - 4*o + 5. Solve 28 = -5*u + z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.808522 rounded to two dps?\nAnswer: 148.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 9 = 54*n - 90 - 3, 0 = -3*n - 2*t - 21 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let n be (78\/(-8))\/((-10)\/40). Suppose n = -2*c + 5*c. Let q(r) = -c*r + 17*r - r - 21*r. Give v(q(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/44 - (-31)\/11. Let l(x) = -3*x + x**3 + 4 - 3*x**k - 4*x**2 - 4. What are the prime factors of l(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p**2 - 8*p**2 + 0 + 2 - 8*p. Let f be a(8). Sort -2\/7, f, -4.\nAnswer: -4, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -17*v + 12*v + 3*d, 2*v + 2*d - 6 = 0. Let t(j) = j + 6. Let o be t(-5). Let y(z) = 7*z + o + 3*z - 5*z. Determine y(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 114*s - 15. Let p(r) = 2. Give 5*p(a) + w(a).\nAnswer: 114*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.433494 less than 0.2507?\nAnswer: 8.684194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 302151757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + m - 284 + 109, 0 = -3*l + 4*m - 169 for l.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3154459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 9*y + 28. Suppose 4*v - 17 = y. Is (-1 + -1898)*(-2)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11594 divided by -22\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1342816, -1342843, -1342870, -1342897?\n\"Answer: -27*c - 1342789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - 5*n**2 - 12*n + 15. Let u(h) = -2*h**3 + 5*h**2 + 13*h - 14. Let g(v) = 3*c(v) + 2*u(v). Is g(9) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-63)\/(-45) + 7\/(-5). Suppose c = 2*s - 2*z - 80, -219 + 17 = -5*s + 4*z. What is the highest common factor of s and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 9:02 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1414910 by 155.\nAnswer: 282982\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*q**4 + 1406*q**3 + 2*q**2 - 39886*q?\nAnswer: 144*q + 8436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-9))\/((72\/(-12))\/(-18))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -188, -2098, -5156, -9260, -14308, -20198, -26828?\n\"Answer: 17*l**3 - 676*l**2 - l + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*m + 8. Calculate the least common multiple of m and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.3 (c) 1\/69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -721.5 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + -2 + 4*sqrt(20) + 4)**2.\nAnswer: 80*sqrt(5) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 132?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*d - 8, 0 = -5*j - 3*d + 22 - 2. Suppose -f - 2332 = -2*q, -j*q = q + 3*f - 5819. Suppose 5*u + q = 10*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (43 + -14)*28 + -2 and 243.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 215, 192, 149, 80?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2 + 18. Suppose 4*g = y*o - 20, -o + 0*o + 2*g + 8 = 0. Suppose 0*n - 6 = -o*n. Solve n*a = 3*z - 12, -z = -a + 4*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -49, -52, -55, -58, -61?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-10.44\nAnswer: 1.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3 + 861*v**2 - 247107*v + 23639903 = 0.\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, g: 2, z: 1, t: 1, i: 2}. What is prob of sequence giiz?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 1)*(4*h + 2*h - 4*h)*(-1 + 1 - 2) + (5*h + 2*h - 2*h)*(-1 + 6 + 0) as c*h + t and give c.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-a**4 + a**4 + 2*a**4) + 4*a**4 - 3*a**4 - 4*a**4 + (-2*a**2 + 0*a + 0*a)*(3*a**2 - 2*a**2 - 2*a**2) + a**4 - 4*a**4 - 37*a**4.\nAnswer: -39*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2 - 2)*(2*c - 4*c + 0*c) + 3*c**2 - 5*c**2 + 4*c**2 - 1 + 1 + c**2 + 4 + 5*c**2 - 4 + (-c + 5*c - 5*c)*(2*c + 0*c - 3*c) - 2 + 2 + 2*c**2.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:53 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5054045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 17.65. Let d = q - -1.17. Round d to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/279 in 0.8, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*u - 12. Let l = u - -6. Let v(b) = b - 1. Determine v(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/i**(2\/15)*i*i\/i**(-1\/23) assuming i is positive.\nAnswer: i**(1004\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -g, -2*g - g - 5*j = 0. Suppose 19 = 3*k + 13. Suppose -3*w + 16 = 5*l, k*w - 4*l - 12 - 6 = 0. Solve -w*u + 2*u - 15 = g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2007.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, 164 in decreasing order.\nAnswer: 164, 4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 819 + -763.1. Let u = m + -49. Round u to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -4. Let w = -8 + z. Let u = -9 - w. Solve 0 = 3*r - u - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - -10)\/18 + 17\/9. Factor 8*b + 0*b**3 + 72 - 41*b + 4*b**3 + 8*b**z - 51*b + 0*b.\nAnswer: 4*(b - 3)*(b - 1)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -70*p**2 - 62 + 20*p**2 + 14*p**2 + 37*p**2 - 43. Let w(l) = -l. Calculate w(j(r)).\nAnswer: -r**2 + 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 + 32*u**2\/9 + 106*u\/9 - 140\/9.\nAnswer: 2*(u - 1)*(u + 7)*(u + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 4*o**2 - 2*o + 2. Let v be j(3). Suppose -v*s - 9 = -5*c - 49, s - 17 = -2*c. Calculate the greatest common divisor of 55 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 13. Let d = u + 21. Solve -2*s = 3*s - d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2551*n**3 + 228*n**3 - 5963*n**3.\nAnswer: -8286*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 v when three letters picked without replacement from {s: 2, v: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*i + (-2*i + i - i)*(-2 - 1 + 2))*(-648 + 249 - 1987)*(-3 + 1 + 3).\nAnswer: -9544*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1503 = 5*g + 9*v, 1087*v - 309 = -g + 1084*v. Suppose j - 69 = -11. Calculate the remainder when g is divided by j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -3*x - 405. What is the greatest common divisor of x and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/341 + (-64)\/(-31). Let r(o) = -o**3 + o**2 + 7. Let b be r(0). Solve 0 = q*v + b + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/150*10\/(-4). Factor 0 + j*o**2 - 1\/4*o**4 - 1\/4*o**3 + 1\/4*o.\nAnswer: -o*(o - 1)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3\/4)\/x*x)\/(x\/(x**(2\/11)\/x)))\/(x**(-3)\/(x\/((x*x**(-3))\/x)))*x\/x**4*x\/(x*x\/x**1)*(x\/x**0)**(-49) assuming x is positive.\nAnswer: x**(-2093\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.13\nAnswer: 0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 24, -1\/3, 2\/3, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((5 + sqrt(108) + -1)*2 - (-2 + sqrt(108)*-2 + 2 + sqrt(108) + sqrt(108) + sqrt(108))) + -1) + -5.\nAnswer: 2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 68*x + 23. Calculate u(-32).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(104)\/sqrt(8))*-2 + 0 + sqrt(78)\/(sqrt(42)\/sqrt(112)) + -2).\nAnswer: -4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1455 + 1458. Solve -n + 5 - 25 = 5*c, 0 = m*n - 5*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 205\/82*(-4)\/(-15)*-24\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {e: 7, f: 1, s: 1, c: 1, m: 3}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*f - 14 = 0, 4*s = 5*f + 69058 - 69093 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 1. Let m be s(-1). Suppose m*d - 10 = -3*d. Let w(q) = -q - 4. Let n be w(-8). Solve n = d*g - g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(252) + -1*sqrt(252) + sqrt(252) - sqrt(252)))\/((sqrt(4) + sqrt(64))*3))\/(sqrt(90)\/(sqrt(30)\/(sqrt(15)\/sqrt(5)))*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48038?\nAnswer: 2, 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 4234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -5. Let g = a + -5. Suppose 62 = 4*f + 26. Solve 6*v - f = g*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 12*r**2 + 15*r - 116. Determine l(8).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -19*p - 458. What is a(-24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3686 divided by -7.\nAnswer: 3686\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 23579776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/k)\/((k*(k**(-2\/7)\/k)\/k*k)\/k))**3*(k**(3\/5)\/(k*k**(-2\/7)*k))\/(k\/k**(-4)*(k\/k**(1\/3)*k*k)\/k*k) assuming k is positive.\nAnswer: k**(113\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 13*k**2 - 2*k - 3. What is the units digit of m(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 68 = -5*u, 4*s - 3*u - 420 = -125. What is the units digit of s - (-2 - (-2)\/(-1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 2, j: 1, e: 1}. What is prob of sequence ej?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-j + 0*j - j)*(3 - 1 - 4) - j + 3*j - j + 3 - 3 + 3*j - 7*j + 74 - 74)*(-3 - 3 + 3) to the form o + d*j and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26598332 and 4?\nAnswer: -106393328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = 0, -h - 40 = -5*h + 4*u. Suppose h*g - 12 = 8*g. Determine r so that 6\/11*r**2 - 4\/11*r + 0 - 2\/11*r**g = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.432 times -182.42\nAnswer: -808.48544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**4\/4 + 160*j**3 + 122*j**2 - 7*j - 2700. What is the second derivative of g(l) wrt l?\nAnswer: -6*l + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.12 - -4.68. Let u = -5 + n. Put 0.5, 0.2, u in decreasing order.\nAnswer: 0.5, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/59? (a) -5 (b) -33180 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 213493.9mm?\nAnswer: 213493900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/9 (b) 360 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3896 - 2872. Does 128 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*t = -82*t - 198. Suppose -t*w + 738 = -60*w. List the prime factors of w.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a56864 - -5?\nAnswer: -2a5685a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.108 minus -15?\nAnswer: 15.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6992 divided by -2\nAnswer: 3496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*z = 38*z. Suppose -3*t = 4*g - 3 - 2, z = 5*t + 5. Let w be (3\/(-6))\/(2\/(-8)). Solve w*j = 5*l, -j + 5*l - 7 + g = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/18)\/((-60)\/440) + -58.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134425 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 21 = 5*g, -u = -5*g - 4*u + 13. Let z(n) = 2*n**2 + 2*n + 4. Let x(r) = -r**2 + 1. Let l(d) = 3*x(d) + z(d). Determine l(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65034 and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*m + 98*m = -4066. Suppose 31*g - 30*g - m = 0. What is g rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 98*i + 33. Give z(-4).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6675?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 8*n - 8. Let r be b(-6). Suppose 5*t = 4 + 6. Solve 0*z - 4*z**r - t*z**3 + 0*z = 0 for z.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 33. Let b be (-1)\/(q\/5 - 2). Let i(x) = -x**3 - 4*x**2 + 6*x + 6. Determine i(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62264 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 77*a**5 + 4*a**3 + 271*a**2.\nAnswer: 4620*a**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3423833 divided by -6889.\nAnswer: -497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x - 6. Suppose 518*q - 497*q + 0 = -0. Solve -5*l - x - 14 = -5*y, -4*l + 3*y - 17 = q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 o when four letters picked without replacement from {o: 11, w: 3, i: 1}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 610 + 276. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 = -5*n, 5*n + 40 = 4*t - 0*t. Suppose 5 = t*o, -2*o - 14 + 1 = 3*l. Put 3, l, -1, 0.03 in descending order.\nAnswer: 3, 0.03, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = 4*b, -n + 4 = 4*b - 0. Let j be (0 - 3\/(-3)) + (1 - b). Solve 3*m + j - 3 = -i, 5*m + 2*i = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*v - 39760 = -162*v + 23*v. What is the greatest common factor of v and 6790?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171 - 75*x**4 - 33*x**4 + 31*x**4 with respect to x.\nAnswer: -308*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5169383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2122220 (base 3) to base 16\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 30 = 2*f + 2*f, 0 = -4*r + f + 81. Calculate the remainder when 6\/33 - (-1142)\/11 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 5 (c) -3 (d) -1\/2 (e) 0.1 (f) -242 (g) -552\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*t**4 + 360*t**3 + 1265*t**2 + 450*t.\nAnswer: 5*t*(t + 5)*(t + 9)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 73*d + 4. Let u be y(9). Suppose -3*x - u = -0*p - p, -x = 4*p - 2605. Let r = -383 + p. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142585 to the nearest one thousand.\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 - 23*t**2 + t + 165. Let y be x(-11). Which is smaller: 31 or y?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63.4 - 63. What is the smallest value in 1\/3, c, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -87 and -485 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 15*m**2 - 156*m + 211. Give x(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4 = -2*v + 26, 4*i = -5*v + 9. Put -1, -1111, v, 2, 1 in decreasing order.\nAnswer: v, 2, 1, -1, -1111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 6:11 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 153 = -2*y + 23, 10061*y + 2*u = 10057*y - 32 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0*k + 2*k)*(5*k**3 - 6*k**3 + 7*k**3) + (0 - 3 - 5)*(2*k**4 + 0*k**4 + k**4).\nAnswer: -30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*(sqrt(180) - (5 + 1*sqrt(180) - sqrt(180))) + -5 + (sqrt(180)*3 - sqrt(180)) + 4*(sqrt(180) + 2) + sqrt(180))**2.\nAnswer: 792*sqrt(5) + 6601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 12, -293*l + 289*l + 36 = -4*j. Put l, -421, 1, -4 in descending order.\nAnswer: l, 1, -4, -421","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 2*v**2 - 2*v - 3. Let g be k(3). Suppose g = -3*a - 6*n + 2*n + 114, 5*a = 3*n + 190. Let u = a - 32. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11\/3 + -3 - (266\/(-24) - -11)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*j = -311, 2 + 7 = 3*j. Let u be (-8)\/f - 2\/8. Which is the closest to 7? (a) -2\/7 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32\/581 - 59203\/11620. Let g(r) = -4*r**2 + 5*r - 3. Let l be g(3). Calculate the common denominator of q and 6\/l + (-282)\/(-56).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -255? (a) -2\/7 (b) 0.5 (c) -103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 255, 5, -2 in increasing order.\nAnswer: -2, 2, 5, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2. Let x(q) = 15*q**3 + 11*q**2 - 2*q. What is -6*t(a) - x(a)?\nAnswer: -15*a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -70324 (base 11) to base 7\nAnswer: -605634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -212? (a) -0.2 (b) -20\/11 (c) 3 (d) 2 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111000000 + -1?\nAnswer: -11111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a hour in seconds?\nAnswer: 5850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**4\/9 + 68*x**3\/3 - 364*x**2 + 1764*x.\nAnswer: -4*x*(x - 21)**2*(x - 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -10*i - 10. Suppose 4*r = 3*k - k - 344, -5*r = i*k + 400. Let q = -422\/5 - r. What is the third biggest value in q, 2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 525 - 407. Calculate the greatest common divisor of 413 and b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281050 a multiple of 1943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntmnmlmmmlimnmn. What is prob of sequence tmi?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3439 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**3 + 3*j**2 - 3*j + 5. Let c = -1787 + 1784. Let i(r) = r**2 - r + 1. Calculate c*i(v) + y(v).\nAnswer: 9*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -267*m. Let n(d) be the third derivative of 0*d**3 + 0 - 136*d**2 + 0*d - 1\/12*d**4. Determine x(n(t)).\nAnswer: 534*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 7*b - 25. Let r be v(3). Suppose -3*l - 9 = 0, -r*x + 1 = -3*l - 33. Solve -m = 3*m + x*p + 20, 4 = 3*m - p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.9 - 0.1. Let q = d - -6.7. Let k = 0.2 + q. Which is the nearest to k? (a) 1 (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1718*a**2 + 1712*a**2 + 2 + 5*a - 3431*a**2. Suppose -2*s = -4 - 14. Let l = s + -4. Determine o(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -6.830207?\nAnswer: -6.830207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 31912078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*a + 68*a + 78*a + 16*a - 12*a.\nAnswer: 245*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 3*z + 34, -12*z + 5699 = 2*y + 5751 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 0*p - p**2 + 9*p - 12*p + 4*p - 68 in the form d + c*p + k*p**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = 4*i, 2*i = i + 3. Suppose -2*l = 0, q = -4*q - 2*l - 5. Let k(n) = 5*n**2 + 4*n. Let m(o) = -o**2 - o. Determine h*m(c) + q*k(c).\nAnswer: -2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, c: 1, t: 2, x: 1, a: 1}. What is prob of sequence ll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 - 2*y**3 + 3*y**2\/2 - 7*y + 1. Let v(i) = -i**3 + 6*i**2 - 2*i + 8. Let o(q) = 4*k(q) + 3*v(q). Determine o(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 + -49271b?\nAnswer: -4926aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3.1*0.3\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 3\/8 (c) -733.7 (d) 328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 12, -0.047, 2\/19, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m**2. Let b(v) be the first derivative of v**5\/120 - 14*v**3\/3 - 10. Let o(q) be the third derivative of b(q). Give o(s(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 256362982 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.773 take away 0.3?\nAnswer: -13.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*402\/3015?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359456912.\nAnswer: 2, 3, 11, 523, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -583*l**4 + 198*l**4 + 192*l**4 + 2*l**2 - 2*l**3 + 196*l**4 + 75 in the form c*l**3 + g*l + r*l**2 + d*l**4 + x and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*c - 22, 5*f = 2*c + c - 13. Let s be ((6\/10)\/(-3))\/((-2)\/10). Put 0, s, f in descending order.\nAnswer: s, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11200 and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1043628867 and -4463.9.\nAnswer: -1043633330.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 5*r**2 + 3*r**2)*(-12*r**3 + 8*r**3 - 7*r**3) + (0 - 2*r**4 + 0)*(r + r - 4*r) - 243 - 12*r**5 + 243.\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5580)\/(-4650)*(-4)\/(8\/135).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 7. Suppose -4*n - 8*w + 28 = -4*w, 4*n - 10 = 2*w. Suppose 16 = 4*k - n. What is the remainder when y is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 134*s - 1 + 11.\nAnswer: -134*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46471*x = -46318*x + 16218 for x.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173361 = -47*l + 271284 + 257209. List the prime factors of l.\nAnswer: 2, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 4. Let s(y) = -1. Calculate -k(x) - 5*s(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, z: 6, v: 2, o: 1}. What is prob of sequence zf?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005619 rounded to five dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**9*q**(-2))\/((q*q**(1\/2))\/q**(-6)) assuming q is positive.\nAnswer: q**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 378208 smaller than 378731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -2, -37, 2, -6, 0, 59 in decreasing order.\nAnswer: 59, 2, 0, -2, -6, -37, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5175590 and 887244?\nAnswer: 31053540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53111 times -19900?\nAnswer: -1056908900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 158, 1055, 3206, 7145, 13406, 22523, 35030, 51461?\n\"Answer: 89*g**3 + 93*g**2 - 5*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1185733109 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 77*d**2. Let r(m) = 396*m**2 - 3*m. Calculate r(v(i)).\nAnswer: 2347884*i**4 - 231*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(196))\/(sqrt(84)\/((sqrt(120)*2 + sqrt(120))\/sqrt(10))).\nAnswer: -30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -13, -35, -57, -79, -101?\n\"Answer: -22*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*((sqrt(700) + 0 - sqrt(700) - sqrt(700)) + 2 + 3*(sqrt(700) + 1) + ((sqrt(700) + 0 + sqrt(700) + 1)**2 - (sqrt(700) + 1 + 1)**2)).\nAnswer: 40*sqrt(7) + 4205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*m + 28 + 3, -4*u + 2 = 2*m. Sort 0, m, 5.\nAnswer: m, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1122, -2, 0, -10, -26, -3 in descending order.\nAnswer: 0, -2, -3, -10, -26, -1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.9 + 8. Let q = 4.1 - z. Which is the second smallest value? (a) q (b) 5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 1. Let i(x) = 14*x**2 + 5*x + 8. What is 5*c(w) - i(w)?\nAnswer: -14*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8*y - 22. Does 8 divide h(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -329, -1336, -2999, -5318?\n\"Answer: -328*f**2 - 23*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 12*y**5 - 44*y**4 + 40*y**2. Let u(m) = 14*m**5 - 45*m**4 + m**3 + 40*m**2. Let d(v) = -5*a(v) + 4*u(v). Solve d(w) = 0 for w.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 639.\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -10302769 to the nearest one thousand.\nAnswer: -10303000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 21.02. Let h = 0.02 - x. Let v = h - -2. Which is the biggest value? (a) 5 (b) -1\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 41640282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 3:15 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-65)*(-1 + 6). Let c(x) = 6*x**2 + 3 - 2 - r. Let d(b) = b**2. What is c(d(a))?\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/7 - 4*b**4\/7 - 454*b**3\/7 + 4056*b**2\/7 - 12456*b\/7 + 12960\/7 = 0. What is b?\nAnswer: -18, 3, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 985*u - 23677*u**4 - 2 + 11697*u**4 + 13697*u**4 wrt u?\nAnswer: 20604*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*r. Let v(f) = f**r + f**2 + 4*f**2 + 2*f**2. Let t(n) = n + 2*n**2 - n. What is v(t(i))?\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4499 * 0.5.\nAnswer: 2249.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -33 (b) -0.08 (c) -0.5 (d) -1\/4 (e) -1\/7 (f) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -39082 divided by -5\nAnswer: 39082\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8cd1 + -2d15?\nAnswer: 5dba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9118, 18368, 27608, 36832, 46034, 55208?\n\"Answer: -n**3 + n**2 + 9254*n - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5174 + 0*q - q - 10355 + 5226.\nAnswer: -q + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.61 - 0.39. Let z be 26\/65 + ((-9)\/10 - (-22)\/44). Which is the closest to z? (a) 2 (b) j (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 8*z. Let j(o) = o. Let p be 4\/((-16)\/43)*-8. Let m = 81 - p. Give m*w(l) + 40*j(l).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2. Let w(l) = -9812614*l. Give t(w(p)).\nAnswer: 577724361077976*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 137*q + 400. Calculate a(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*z - 29*z + 57525 = 0. Is 33 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(220)\/(sqrt(10)\/sqrt(2))*1 - (-4 + sqrt(176)*-1 + 2).\nAnswer: 2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 253 + -6a4a?\nAnswer: -67d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, 1, 3, -32.6, 0, -2\/13, 0.01?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -6.7\nAnswer: 20.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10234 and 5163053?\nAnswer: 10326106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4771045 + -72721\nAnswer: -4843766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 290.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6697, 55743, 188881, 448159, 875625?\nAnswer: 1513327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00525444 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-13))**5\/(q\/q**10)**(1\/10))**(-14) assuming q is positive.\nAnswer: q**(4487\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1954*a**2 - 436 - 1434*a**2 + 436 to b*a**2 + h*a + w and give b.\nAnswer: -3388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18913 (b) -3 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from {e: 2, r: 1, q: 2, j: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17952 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(2\/25))*g)**(-48) assuming g is positive.\nAnswer: g**(-1296\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 6720*d**2 - 52675*d + 1022040.\nAnswer: -5*(d - 9)*(d + 17)*(d + 1336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (122 + 4780\/(-40))\/(-1 - 84).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-32)*160\/24.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -a + 2, m = 2*a + 1 - 20. Suppose x - 4*b + 4 = 0, -3*b = 3*x - a*x + 31. Solve -x = -k + 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1151132 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2672984051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 12:37 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3926 (b) -15 (c) 0 (d) 5 (e) 0.4 (f) -5\/22 (g) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -8\/3*f**3 - 6*f**2 - 124 + 0*f - 1\/5*f**5 + 7\/4*f**4. Find the third derivative of g(d) wrt d.\nAnswer: -24*d + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/20*(-2 + -38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -30*x + 17*x + 10*x + 61*x - 84. Let d(b) = -31*b + 42. Let f(t) = -3*a(t) - 5*d(t). Find the first derivative of f(c) wrt c.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 4*f + 3, -230*a + 48 = -234*a - 4*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/3 + 284*m**4 + 1976*m**3 + 10982*m**2\/3 - 851*m - 5070 = 0. What is m?\nAnswer: -845, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/9041 + -458935\/2784628. Calculate the common denominator of m and -23\/10.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 15*a**2 - 3. What is w(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 783 - 21893\/28. Calculate the common denominator of v and -65\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3420 (base 5) to base 6.\nAnswer: -2125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/6623791?\nAnswer: -2\/6623791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w - 4*w + 5*w + (5 - 4 - 3)*(0 + 2*w + 0))*(0 + 0 + w) to o + n*w + d*w**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - b = 5 + 18, -5*s + b = -59. Let j = s - 7. Suppose -v = 3*h - 9, 5*v + 102*h = 104*h - 23. Put -1, j, v in ascending order.\nAnswer: v, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 + 1.6. Let j = -9 + 10. Let l be (1 - 3\/6)\/((-2)\/12). What is the third biggest value in -1, u, l, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**3 + 703*j**2 - 169*j + 1231. Give n(-176).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 0\/5) + -598 + 576.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**3 + 13\/2*g**2 + 8 + 0*g. What is the second derivative of h(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5, t + 5*s = -1 - 13. Let g(o) = 30 - 547*o - t + 11 + 4. Let h be g(22). Round h to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 8. Let g = d + 25. Are 0.1 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12973, -103576, -349461, -828268, -1617637?\nAnswer: -2795208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -350 - -150. Let i be (-17)\/((-4)\/(1*n)). Let l = 2949 + i. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2. Let z(p) = 3*p - 2591*p**2 - 3*p + 2322*p**2. What is z(m(q))?\nAnswer: -269*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-10)*(-5)\/(-2426). Suppose 3*i - 3*u + 13 = -23, u = 5*i + 16. Which is smaller: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1011000001111100010010010?\nAnswer: -1011000001111100010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11173428 and 336.\nAnswer: 44693712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 121*p - 12 + 33 as l + s*p and give s.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.21 - 135713.\nAnswer: -135712.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/33 + -6\/11. Let k = 1\/6 + f. Which is the nearest to k? (a) 1 (b) 2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 873400839 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 451162388 to the power of 1\/4, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**3 + 3*h**2 + 10*h + 5. Calculate p(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3994663.\nAnswer: 23, 29, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-42))\/((-3)\/27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697522 <= 1697523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - (1 + -3) - -19?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 + 43*i**3 - 56*i**3 + 4*i**3 - 633*i**2.\nAnswer: -4*i**3 - 633*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.526, -3\/22, 0.1, 3\/2 in descending order.\nAnswer: 3\/2, 0.1, -3\/22, -0.526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 925 - 924.6. Which is the biggest value? (a) 18 (b) -0.4 (c) 4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 54?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + sqrt(847) + 0 + -4)**2 + ((sqrt(847) + 2)*5*2)**2.\nAnswer: 4268*sqrt(7) + 85981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 5*c - 3. Let w be g(2). Let m(d) be the first derivative of 1 + w*d + 2\/3*d**3 + 0*d**2. Find the first derivative of m(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 1:16 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**4 + 410*r**3 + 3392*r**2 + 8224*r + 4096 = 0?\nAnswer: -128, -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 40*z**2 + 576*z.\nAnswer: -4*z*(z - 8)*(z + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25263591 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1229 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 453, 895, 1339, 1785, 2233?\n\"Answer: k**2 + 439*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -498*-0.1825\nAnswer: 90.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 - 2*g**2 - 3*g**2. Suppose -608 = -48*z + 40*z. Let t(w) = z*w + 54*w - 150*w. Calculate t(h(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -40*l**2 - 1894*l + 7580. Give i(4).\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o*p**3*v**3 + 2*o*p**3 + 22*o*p**2*v - 8*o*v**2 + 33*p**3*v**2 wrt v?\nAnswer: -12*o*p**3*v - 16*o + 66*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2187, -2184, -2181?\n\"Answer: 3*j - 2190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74725295 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000120136906 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-30)\/(-18))\/(4\/(-282)). Let q be 2 + (52*1 - -2). Let r = q - h. What is the least common multiple of 12 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31352?\nAnswer: 2, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2523, 2483, 2447, 2415?\nAnswer: 2387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24996*z**2 - 54579*z.\nAnswer: 49992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -318*f + 315*f + 9, -3*p - 2*f = -19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (361 - 2)*(-10 - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26357, 28444, 30543, 32660, 34801, 36972, 39179, 41428?\n\"Answer: r**3 + 2080*r + 24276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33151894 or 33151900?\nAnswer: 33151894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h. Let w(x) = -24*x + 1. Let d(l) = -4*a(l) - w(l). Suppose -4 + 2 = -2*s. Is d(s) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138810.\nAnswer: 2, 3, 5, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*p - 4*x, p - 3*x = -3*p + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 167830776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145447*j*u + 234286*j - 11*u**3 - 14 wrt u.\nAnswer: 145447*j - 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 424\/3, 1\/11, -0.0547?\nAnswer: -0.0547","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*w - 25, 6 = -5*w - 5*k - 19. Solve 5*s - 4*o + 3 = -9, 2*o - 6 = w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 27*b**2 - 12*b - 13. Let h be a(16). Let l = 4300 - h. Is l 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 2151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_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: Let b be 1\/(-6) + (-33)\/18. Let l(y) be the first derivative of -3*y**2\/2 - 2*y + 1. Calculate l(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 49 + 67*m)*(-3*m**2 + m**2 - m**2)*(2*m - 3*m + 3*m).\nAnswer: -402*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189392 by 6764.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -9. Let y = z + -12. Suppose -4*b - 56 = -3*s, s - b = y + 5. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-11) - 28\/154.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*n - 1192*n - 30*n - 265*n.\nAnswer: -1690*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -96*t**2. Let r(q) = 474431*q**2. Calculate s(r(k)).\nAnswer: -21608138281056*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*o - 4*d - 22, 13 = 3*o - 4*d. Let n(k) = 8 - 3*k - 7 - k + 5*k. Let b(z) = -z - 4. Let c be (-2)\/(-5) - 12\/5. What is c*n(x) + o*b(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 10.48. Let f = u + 0.43. Which is the third smallest value? (a) 2\/5 (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 131, 235, 375, 563, 811, 1131?\nAnswer: 1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/462*518 + -3*(-5)\/(-15)\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - 1 - (148 - 158))*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -853 and -0.0349.\nAnswer: 29.7697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 438.956316 to one dp.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45674 - 4110479\/90. What is the common denominator of v and -2*77\/(-10)*(-25)\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 - 14 = -2*h, 20 = 4*h. Suppose -v*r + 2540000 = -4*r. Round r to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12642100 (base 7) to base 14.\nAnswer: -226570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + -1251?\nAnswer: -1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -1539 (c) -8 (d) -0.3 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 26 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1. Let k = 218 + -213. Let c(h) = 2*h - 4. What is k*m(x) + c(x)?\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93624 + 97488 = 161*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 5:50 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-351)\/3159)\/((15\/(-9))\/(-5)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 1103*c - 23157. Give z(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 6. Let r be l(-1). Suppose -2*g - 8 = -6*g. Suppose 4*n = g*k + 12, 0 = n + n - 4*k. Solve 3*c = -f + 4, n*c - 2 - r = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 25*t**2 + 59*t - 19. Suppose 0 = 7*z - 86 - 103. Let w be n(z). Let f be 1 + (-2 - (w\/36 - 4)). Which is greater: -3\/8 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/3 and -29\/318?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 20, 11 = 3*b - 2*m - 5. Let g(i) = -i**2 - i - 14 + b*i - 13*i - 4*i. Is g(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -0.100263?\nAnswer: 1.899737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 132457\/78512 + 2\/4907. Calculate the common denominator of 67\/32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i**2. Let h(z) = -1285*z. What is l(h(m))?\nAnswer: 11558575*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -595.63\nAnswer: -1786.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3398 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1134)\/(-45) - 10) + (-24)\/(-30). Solve -29*a + 104 = -v*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - a, 2*s + a = s - 2. Suppose 0 = -6*u + s*u + 20. Let n(w) = -w**2 - 7*w + 4. Let q be n(-7). Solve 3*g + 7 = 5*x, q*g + x = u*g + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29295823 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/916 and 65\/5038.\nAnswer: 10076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 13*t + 2. Let q(h) = -h**3 + 27*h**2 - 52*h + 62. Suppose -2*g + 38 = 3*w, -5*g - 25*w = -21*w - 109. Let y be q(g). Calculate s(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1280233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632709907.\nAnswer: 29, 31, 73, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4 + 7*u**3 + 668*u**2 + 660*u = 0. What is u?\nAnswer: -22, -1, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3755, 5, 4 in descending order.\nAnswer: 5, 4, 2, -3755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 + 2*l**3 + 25*l**3 - 2*l**3.\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.068 * -12.\nAnswer: 0.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x + 11. Let b(d) = -7*d - 24. Let o(q) = 2*b(q) + 5*h(q). Let w be o(38). What is the greatest common divisor of 108 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -632, -1476, -2850, -4754, -7188?\nAnswer: -10152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48 - -22?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 554805254 to the power of 1\/2, to the nearest integer?\nAnswer: 23554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y - 46. Let m(q) = -72*q + 658. Let o(s) = -86*d(s) - 6*m(s). Let f(u) = -60*u**2. Give f(o(t)).\nAnswer: -240*t**2 - 1920*t - 3840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -269 and -1775131?\nAnswer: 477510239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9048 and 195?\nAnswer: 45240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -514\/3 + 166. Which is smaller: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (-11)\/2*-2. Let o(r) = -42*r - 2935. Let i be o(-70). Suppose -16 + 6 = 5*x. Sort i, t, x in descending order.\nAnswer: t, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(10) - (sqrt(10) - sqrt(40)))*-2)\/(sqrt(80)*6).\nAnswer: -1 - sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1041 + -1039. Let o(t) be the first derivative of 2\/5*t - 1\/5*t**f - 2\/15*t**3 + 1 + 1\/10*t**4. Factor o(b).\nAnswer: 2*(b - 1)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 77 = 2*o. Suppose -4*t + o*t + 30 = -4*u, 2*u + 10 = 0. Let g be 1\/3 - 328\/(-6). What is the greatest common divisor of g and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u - 1. Let v(h) = h. Let c(g) = 9*v(g) + 4*y(g). Let t be c(-4). Let x be 1\/(((-1)\/t)\/1). Is 23 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*i - k - 24, 0 = 3*i + k - 21. Let m be (8\/5)\/((-3)\/(-30)). Suppose 4*v - m = 2*v. What is the highest common divisor of v and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 5:13 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 0 + (-8)\/(-1). Suppose g + 0 = -x - 2, -4*x - v = 3*g. Let o(k) = -k**3 + k**2 - 2*k + 1. Calculate o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from nnrrrenrrnnnennn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 286 + -148. Suppose -61 = t + f. Let v = t + 451. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 278206*o**3 - 11*o + 278210*o**3 - 196*o as c*o**2 + z*o**3 + f*o + y and give f.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 8 - (0 + -6 + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245682?\nAnswer: 2, 3, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/((-37400)\/204))\/((-2)\/10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -25824*q + 77662. What is t(3)?\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -10*k**2 + k + 3*k**2 + 13*k**2. Let l be -4 + 3 - (0 - 0). Determine h(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10339 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 3*m**2 - m - 5. Let c be o(-2). Which is bigger: c or 24\/19?\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/a**0*a)**(-42)*a**(2\/5)*a*a*a\/a**3*a*a*a assuming a is positive.\nAnswer: a**(-823\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 13. Suppose -4*w + x = -w. Solve -v - w = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 11 = -2*g, 2*x + 0*g - 12 = g. Suppose j - 21 = -3*a - 0*a, 0 = -3*j - x*a + 67. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 432 = 2*t + 4*f, 0 = 4*t + 5*f + 430. Let i be (t\/33)\/((-2)\/9). Suppose 13*j = i*j. Solve j = -v + 2*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 5*z - 12, -5*z - 31 = -4*x - 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 + 111100102?\nAnswer: 111100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/74 and 61\/6704696.\nAnswer: 6704696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 9*u**2 - 15*u + 10. Suppose -2*n = 211*p - 207*p - 74, -4*p - n = -69. What is the remainder when a(11) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 96*x**2 + 264*x - 45190. Give z(-87).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -2*o + 0*o**4 + 3\/20*o**5 - 1\/6*o**3 + 0 + 0*o**2. Let l be u(1). Solve -9 = l*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 21 = -3*a, -2*a + 34918*s - 26 = 34912*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 460 by -115.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2132, -2121, -2102, -2075, -2040, -1997, -1946?\nAnswer: -1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14*(-2 + 6\/(-4)). What is the highest common divisor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - a - a + 1)*(2785 - 654 + 1437 + 358 + 527).\nAnswer: 8906*a + 4453","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 5. Let d(s) = -2*s - 6. Let y(t) = -5*d(t) - 6*l(t). Let a(m) be the second derivative of -m + 1\/12*m**4 + 0*m**2 + 0 + 0*m**3. Give y(a(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - s + 5. Let w(h) = -1. Give -k(g) - 3*w(g).\nAnswer: g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/113, -246, -3, 102\/7, -1?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 195, 405, 697, 1077, 1551, 2125?\nAnswer: 2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02064 - -2.09164. Let f = 0.071 - j. Let g(l) = -l**2 + 6*l + 2. Let n be g(6). Put n, -0.4, f in ascending order.\nAnswer: f, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 8*c**2 + 48*c - 2. Let j be r(-12). Let a be j\/3*(-4347)\/18. Calculate the highest common factor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16926 + 16918. Which is the fifth biggest value? (a) 5 (b) k (c) -20 (d) 8 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3913 divided by -13522\nAnswer: -3913\/13522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by (-435)\/58*8\/6*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000257706 rounded to 7 decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*r + 75 = -113*r. Let x be 18\/r*219\/63. Which is greater: -20 or x?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - ((12 + -10 - 2) + 1 + -9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 82, 0.3, 0.448?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2 - 4*j - j**2 - j - 1. Let v = 48 - 51. Calculate m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -1\/18*s**3 - 1\/3*s + 1\/4*s**2 + 17. Determine g so that y(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 457595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*j + 2, 4 = 2*y - 4*j. Solve y*d - 6 = -2*q - 3*d, -5*d + 10 = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -594\/7*t**2 - 370\/7*t**3 - 40\/7 - 272\/7*t + 100\/7*t**4 = 0.\nAnswer: -1\/2, -2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apuuwaujpauajpupu. What is prob of picking 1 u and 3 a?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.065 * 0.5\nAnswer: 0.0325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/(-10)*((-30)\/(-6) + -10). Let s = p - 44. Let d = s + 140. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 5*u**2 + 5*u - 4. Suppose 15 = -38*a + 37*a. Let d = 11 + a. Give x(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106058371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -15\/8 (c) -2 (d) 0.4 (e) 9.9 (f) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 13*w - 21. Let y be j(6). Suppose -y*x - x = -9900. 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: Simplify (-3*2*((sqrt(147) + -2)*2 - (sqrt(147) - (sqrt(147) + 1*sqrt(147) + 0 + sqrt(147))))*3*-3)**2.\nAnswer: -653184*sqrt(3) + 6905088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33085.\nAnswer: 5, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*q + 17160, 0 = -5*z - 4*q + 5*q + 17130. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 2)*(-2*y + 3 - 3) + 5*y - 1 + 1)*(-4*y + 3 - 3).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -10.2 (c) -3\/14 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147079*g**2*m**3*v**3 - g**2 + 3*g*m**2*v**3 + 2*g*v**3 - 5*g*v + 36*m**3*v**3 + 56*v**3 - 36*v wrt m?\nAnswer: -882474*g**2*v**3 + 216*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43486?\nAnswer: 2, 17, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2187.02 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19342222637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 0*l**6 + 8*l**3 - 1\/60*l**5 + 0*l**4 - 11*l**2 - 2 + 0*l + 3\/70*l**7. What is the first derivative of t(z) wrt z?\nAnswer: 36*z**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 581*o + 2900. Let x be s(-5). Suppose -5*a + 9 = -11. Suppose a*y + 4*j = 3*j - 27, 3*y - 2*j = -23. Sort 3, y, x, 0.\nAnswer: y, x, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 94.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -212, -229, -232, -215, -172?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 32 = -90. Let f be 41\/(-4)*(-5 + 1). Let q = f - b. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, z: 7}. Give prob of sequence jjjz.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2376016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18656560 and 1430?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - 7. Let q be n(-6). Let u(h) = 11*h**2 + 25*h - 26. Let y(z) = 8*z**2 + 17*z - 18. Let i(t) = -5*u(t) + 7*y(t). Give i(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42726707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g - 5 = 0. Let v(n) = -n**3 - 4*n**2 + 3*n - 15. Let s be v(-5). Which is the nearest to -2\/3? (a) -1\/6 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -200317 and 0.3066.\nAnswer: -200316.6934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10300 divided by -46\nAnswer: 5150\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-56)*((-2226)\/231 - -10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 68*m + 4. Let l be w(-3). Let j = 639 - l. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169379777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -10*m + 5. Let j(t) be the first derivative of 11*t**3\/3 - 6057. Determine r(j(d)).\nAnswer: -110*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 254015, 253998, 253981, 253964?\n\"Answer: -17*d + 254032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**5\/20 - x**4\/6 + 5*x**3\/6 + 2*x**2 + 2*x. Let b(o) = o + 7. Let g be b(-10). Determine d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/199 - -407\/597. Let u = 9 + -14. Which is the nearest to 0? (a) -1\/6 (b) u (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34, -161, -380, -697, -1118?\n\"Answer: -h**3 - 40*h**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -30, -23, -14, -3, 10, 25?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -13 - -14 - (-2 - (-2 - -3)). Suppose -l + v = 4*v - 28, -r*l + 3*v = -67. What is the highest common factor of l and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**2 + n. Let g be a(-1). Suppose -k = -3*k + 20. What is the second derivative of k*w**4 + 2*w - 2*w + 3*w - g*w**4 wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1049*l**6 - 260510*l**5 + l**2 + l - 46022538?\nAnswer: -125880*l**3 - 15630600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -9. Let u = r - 10. Let i = -40\/3 - u. Is 2\/7 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*1 + 624\/91?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y**2 - y)*(10*y + 5*y - 19*y)*((0 + 1 + 0)*(-1 - 1 + 3) + 3 + 3 - 4).\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -8)*5\/(-10). Let k(i) = -2*i + i**f - i - 3*i**3 - 4*i. Let z(b) = -5 + 1 + 4 + b. Calculate -2*k(h) - 14*z(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 18. Let j be m(0). Let v = 34 + j. Calculate the remainder when 62 is divided by v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(84)\/sqrt(108))**2 + ((sqrt(4032) - sqrt(63))\/sqrt(9) - sqrt(7)))*-6.\nAnswer: -36*sqrt(7) + 22\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, z: 2, d: 5}. Give prob of picking 1 x, 1 d, and 1 z.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.012?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*x - 2*f, -6 = x - 4*f. Let t(i) = -i**3 - 12*i**2 - 2*i - 1. Let z be t(-12). Let h = -9 + z. Solve -4*r + x = -h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 62*l**5 - 10701*l**4 - 4483*l**3 + 27411*l**2 - 13327*l + 1038 = 0. What is l?\nAnswer: -2, 3\/31, 1\/2, 1, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51096 is divided by 1296.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5138 + -5215. Let l = -111 + 185. Let f = l + q. Which is the third biggest value? (a) -1 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1000010101110100011110?\nAnswer: -1000010101110100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10, 4, -2, -3, 37, 1.\nAnswer: -3, -2, 3\/10, 1, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -8. Let i(f) = -f**3 + 28*f**2 - 27*f - 3. Let y be i(27). Sort -4, -5, y, c in decreasing order.\nAnswer: c, y, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 + -45. Let m = y - 121. Let p = m + 98. Solve -4*i - p = 5*k, -5*i - 1 + 6 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/(g*g**(-2\/5)*g*g*g))**(-2\/7) assuming g is positive.\nAnswer: g**(46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221*f + 406 = 7279 + 1746 for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -6181.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**2 + 4*p + 8. Let t(d) = d**2 - d. Suppose 0 = -1360*g + 1363*g - 0 + 3. Calculate g*i(j) - 6*t(j).\nAnswer: j**2 + 2*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/234 and -61\/24?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*j + 11. Let r be 42 - (-3 - -5 - 2). Suppose -4*w + r = 3*w. Solve 4*a = 2*o - w, 6*a = 2*a + j*o - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.7 - -10. Put -0.5, d, 2\/5 in decreasing order.\nAnswer: 2\/5, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 6*f**2 + 11*f + 7. Calculate the least common multiple of w(7) and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 + 0*k**3 - 2*k**3)*(65*k - 62*k + 6 - 2)*(3 + 2 - 3).\nAnswer: 18*k**4 + 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 326*j**2 + 2 - 2 - 325*j**2. Let f(h) = 29*h - 181*h**2 - 58*h + 47*h**2 + 29*h. What is c(f(m))?\nAnswer: 17956*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1554 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 11*r + 9. Suppose -6*t = -12*t + 60. Let h be i(t). Let a = 168 - h. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 3530e?\nAnswer: 35311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*v - v - 16*v.\nAnswer: 46*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6133 - -5.\nAnswer: 6138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -128*t**5 - 5764128*t**4 - 64882104498*t**3 + 243375174558*t**2 - 155158027200*t + 27381257496 = 0. What is t?\nAnswer: -22518, 3\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v - 55*v = 0. Suppose v = -4*y + y. Solve y = 2*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (726\/(-143) - -5) + 170\/325*-170.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1857727 times -0.2\nAnswer: -371545.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4*j - 2*j + 6*j - 405*j**3.\nAnswer: -405*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 3. Let s be b(-6). Let z = -5 - s. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -824 + -2695?\nAnswer: -32b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 39*a**2 - 38*a**2 - 27*a - 23 + 41 - 3*a**3 as i*a + f*a**2 + k + p*a**3 and give i.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2556, -3380, -4746, -6648, -9080, -12036, -15510?\n\"Answer: n**3 - 277*n**2 - 2280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 12:14 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*4\/(420\/(-75))\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9775 + 9778. What is the closest to -0.1 in n, 23\/3, -1\/11, 3\/7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -2*g**5\/25 - 54*g**4\/5 - 1944*g**3\/5 - 644. Let l(c) = 0. What is c?\nAnswer: -54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**3*q**2*x + 17216028*m**2*q**3 - 153*m*q**3*x - 3*m*q**2*x - 2*m*x + 91*q**3*x + q*x + 1 wrt m?\nAnswer: -18*m*q**2*x + 34432056*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 0 - 2*o**2 + 0*o**6 + 0*o + 0*o**5 - 1\/24*o**4 + 1\/70*o**7 + 0*o**3. What is the second derivative of t(w) wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19351720?\nAnswer: 2, 5, 43, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2 + 2. Let q be (1 - (3 - z)) + 27. Suppose -3*l + 15 = -q. Calculate the highest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + 20?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2168 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.36407ug to nanograms.\nAnswer: 83364.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 45 = 3*l, 2*l = -3*n - 107 + 181 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3031 = 7*n - r + 3056, 0 = n + 3*r - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*t**2 + 153*t**2 + 156*t**2 - 429*t**2 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-1 - 2\/(-1)). Suppose 4*i - 5*p = 37, 5*i - p = 10 + x. Suppose -25 - 8 = -i*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -126.2\nAnswer: -37.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 2:49 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 = -8*w. Solve 2*r = -4*u + 12, u + w = -r + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 - 0.1. Let c = -1.4 + 2. Let l = c - 0.7. What is the closest to l in -5, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-504)\/180*2\/7.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100.19 + 99.69. Let k = 0.2 + 0.3. Which is the second biggest value? (a) h (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**35*m**(7\/2))\/(m*m**(-6)\/m*m)**41 assuming m is positive.\nAnswer: m**(487\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42135648?\nAnswer: 2, 3, 438913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*c**2\/9 + 76*c\/9 + 32\/3.\nAnswer: -4*(c + 1)*(5*c - 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 88*r - 1293. Determine c(26).\nAnswer: 995","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (6 - (-9 + 7))) + 10 + (-34 - -2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (111300\/(-9))\/(-10) + 4\/(-6). What is the highest common factor of p and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + 1*sqrt(117))*-3 - (sqrt(117) + 3*sqrt(117)*-2))\/(5*sqrt(36) + sqrt(90)\/(sqrt(10)*2)).\nAnswer: 8*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 - 160. List the prime factors of z.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -4, -0.7, 0.17, 7\/2, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7654 is divided by 3795?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 + 20*r**2 + 20*r + 9. What is the remainder when 369 is divided by z(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than -71\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1041404 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -195.1 times -0.5?\nAnswer: 97.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 11 = f, 2*f + 4 = 2*r + 6. Suppose 0*h - 4*m = 3*h - 57, f*h - 30 = 5*m. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -24*m + 474. Determine z(-6).\nAnswer: 618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12007.\nAnswer: 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 266 + -264. List the prime factors of (x - (-6)\/4)\/(16\/3840).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 408*k - 408. Calculate the lowest common multiple of 509 and d(-1).\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**2 + 7 + f**3 - 2 + 2 + 2*f + f**2. Calculate the remainder when d(5) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 171477*w + 307500 wrt w?\nAnswer: 171477","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/7 or 0.0356543?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 525 - 69. Suppose -3*t = 0, -6*r + 3*r = -t - f. Calculate the remainder when r is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -929 less than -928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 45*l**2 + 442*l - 60. Give r(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 - 137*x\/2 + 18769\/4.\nAnswer: (x - 137)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*a = 318, 5*o - 5*a - 632 - 173 = 0. List the prime factors of o.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*h + 1408*h - 23836 = 0 for h.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 44*(-4)\/(-24)*-3. Let p = j - -32. Suppose -2*k + 2*x = p, 0*x = 4*k + x + 5. Which is the third smallest value? (a) 13 (b) -2\/17 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 + 4*z**3 + 8*z**3 + 0*z + 0*z - 2*z**3 + (z**3 - 2*z**3 - z**3)*(0 - 1 + 3) as n*z + x + s*z**2 + y*z**3 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.19 - 0.25. Let o = -58 + 57.76. Let s = o - v. Which is the smallest value? (a) 2 (b) 5\/4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3 = -3*j, 4*o + 2*j - 3 = -1. Suppose o = 168*q - 167*q - 177. Does 31 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b = 10. Let o(z) be the second derivative of b*z**2 - z - 1\/3*z**3 + 0. Let h(r) = 1. Calculate 6*h(t) - o(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9978 is divided by 1905?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3185343, -3185323, -3185301, -3185277, -3185251?\nAnswer: -3185223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-174)\/29*98\/4. Let u = 152 + s. Solve -14 = -u*z + 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 7982?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22383*q*s*u**3 - 2*q*s*u + 3868*q*s + 117*s*u**3 - s*u**2 + u**2 + 3*u wrt u.\nAnswer: -134298*q*s + 702*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1852, 7223, 15804, 27295, 41396, 57807, 76228, 96359?\n\"Answer: -50*x**3 + 1905*x**2 + 6*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35894 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.98509 + 0.01491. Which is the fourth biggest value? (a) t (b) -1 (c) -1\/2 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1573))**2 + -1.\nAnswer: 44*sqrt(13) + 1576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 340 = 3*c - i, 0 = -5*c - 2*i + 567. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15433 + 43?\nAnswer: 15520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 0*p - 2*p, 5*t + p = 6. Suppose -20 = -3*u + 4*x, -u - x + 6 = -t*x. Solve u*l + 3*m = -11, -8 = l + 3*l + 4*m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4445243 (base 6) to base 5\nAnswer: -24132331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1160 = -0*k + k, p - k = -285. Let x = -169 - p. What is the highest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t - 108 - 7*t + 419 - 85 - 113 - 113.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((96\/(-78))\/2)\/((-4)\/3).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 929046468 divided by 444\nAnswer: 2092447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.376*0.5.\nAnswer: -0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x = -12*x - 21 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558*x + 25198578 = 99*x. List the prime factors of x.\nAnswer: 2, 127, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217139, -217111, -217083, -217055?\nAnswer: -217027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (8 - (-8 + -1 - (36 + -48)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**3\/2 + 131*b**2 - b\/2 - 131 = 0?\nAnswer: -262, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 399 + -395. Suppose -1 = l - 5*z, -5*l + 3*z - 4 = -l. Sort -2, l, i, -5 in descending order.\nAnswer: i, l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**4\/7 - 8396*y**3\/7 + 7212*y**2 - 75780*y\/7 = 0?\nAnswer: -2105, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 146843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.272 and -263?\nAnswer: 262.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -2, -18, -13, 3 in increasing order.\nAnswer: -18, -17, -13, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 - 17*x**2 - 7*x - 1. Let c(w) = -2*w**3 - 11*w**2 - 5*w - 1. Give -7*c(l) + 5*y(l).\nAnswer: -l**3 - 8*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(9\/5))\/u)\/(u*u*u*u*(u**(4\/7)*u)\/u*u) assuming u is positive.\nAnswer: u**(-132\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 74. Let w(r) = 3*r - 22. Let a be w(9). Is 656 + (s + a - 6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 times 17685?\nAnswer: 3554685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1768 = -227*x - 848 - 1016 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l = 3*d + 1, -3 = -3*d + 3*l. Let b(p) = 4*p**3 + p**2 - 5*p + 3. Let r(z) = -3*z**3 - z**2 + 4*z - 2. Give d*r(a) + 4*b(a).\nAnswer: a**3 - a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2093.22073 to 2 decimal places.\nAnswer: 2093.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22500 (base 7) to base 3\nAnswer: 21212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85153 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.256 rounded to zero decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49536717 and 12669?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 1236?\nAnswer: 13596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**2 + 2*h - 1. Suppose -2*f = 3*f - 2*n + 3, -2*f - 5*n + 22 = 0. Let v be u(f). Suppose v*x - 60 = 3*x. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1200) + sqrt(1200)*2*3 - sqrt(1200))\/(sqrt(144)*1 + sqrt(48)\/sqrt(3)))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 173, 207, 241?\n\"Answer: 34*m + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -248891?\nAnswer: 248886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - d + 2 = 0, 5*d = -0*d - 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*7\/28 - -2) + 34. Calculate the greatest common factor of 27 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.78 + 10.48. What is the third smallest value in -5, 0.2, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**3 - 16*y**2 + 19*y + 11. Let s(o) = -o**3 - o**2. Let v(q) = i(q) - 5*s(q). What is the units digit of v(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/8 and ((-2)\/(-18))\/(16\/(-3336))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -307 - 4?\nAnswer: -30b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -38472?\nAnswer: -38473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m**2 + 23*m. Let k(a) = a**2. Let h(i) = k(i) - x(i). What is the second derivative of h(l) wrt l?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*i**5 + 60394*i**4 + 217754*i**3 - 1245074*i**2 + 1305344*i - 338408 = 0. What is i?\nAnswer: -7, 2\/5, 1, 2, 6043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -5) + (-854)\/80. Let d = o + 44\/5. Is d equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 913526 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17846761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 21740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjyeyejjjyenjeyyjj. Give prob of picking 1 y and 1 e.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.952 - 0.032. Let t = -0.08 - k. Let a = -4 - t. Which is greater: -1\/2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**5\/60 + j**4\/24 - 4*j**3 - 3*j**2. Let b be k(0). What is the remainder when 15 is divided by b\/10*20\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**6)**20 assuming w is positive.\nAnswer: w**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2. Let f(u) be the third derivative of -5*u**4\/8 - 23*u**2. Calculate f(m(z)).\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1341))\/((-1652)\/(-2832)*(-32)\/84)\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 9:40 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + (-241)\/6*-2. Let w = -6 + t. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10127555.\nAnswer: 5, 2025511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/26*(60\/9)\/(-4).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 i, and 2 l when four letters picked without replacement from hyivvlim?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 128*w**2 + 12*w - 10*w - 1160*w**6 - 3*w**4 + 1110*w**6 wrt w.\nAnswer: -6000*w**3 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -205 + 205 - 26*m**3 + (0*m**2 + 0*m**2 - 3*m**3)*(0 + 0 - 1) - m**3 - 2*m**3 + 2*m**3 - 2*m**3 - 3*m**3 + 3*m**3 + 2*m**3 + 0*m**3 - m**3.\nAnswer: -25*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 7*f - 8. Let v(o) = o**3 + 4*o**2 - 6*o + 2. Let n be v(-5). Let i(x) = 2*x**2 + 8*x + 9. Give n*g(u) + 6*i(u).\nAnswer: -2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 0) + (-30)\/(-50). Let h = 146 - 147. What is the second smallest value in h, 0.045, c?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 45138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -6*u + 4*g, 5*g = 55118*u - 55123*u - 40 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 2*c + 1. Suppose 5*r - l = 64, -4*l = r - 9*l - 32. Suppose -4*b = -a + r, 0*b - b - 12 = 2*a. Give v(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 3\/5, -0.2, 1486, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.073*-11.08.\nAnswer: 0.80884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -9397601\/33 > -284777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 23*l**5\/60 - 5*l**4\/24 - l**3\/2 + 9*l**2. Let s be x(-3). Suppose -2*n + s = -379. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 42?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z - 5. Let s(a) = 5*a + 4. Suppose 2*t = -4*g + 8, -4*t + 8*t = -4*g + 4. What is t*x(y) - 3*s(y)?\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.70610095 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s - 6. Let b(q) = -57*q**3 - 2*q**2 + 10*q - 47*q**3 + 103*q**3 + 3. Let a be b(-4). What is f(a)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t = -2*b + 21, 2*b - 18 = -2*t. Let f be -4 - (-5)\/b*18. Solve 0 = -f*l + 5*z + 5, z - 12 = -2*l + 5*z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**8\/3360 + c**7\/420 - c**6\/120 + c**5\/60 + c**4\/12 + 2*c**2. Let q(d) be the second derivative of s(d). Solve q(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**5\/5 - 12*r**4\/5 + 24*r**3\/5 + 8*r**2 - 84*r\/5 + 36\/5 = 0. Calculate r.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1859 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 171585?\nAnswer: 171585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1123d2a (base 14) to base 8\nAnswer: 37067602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 4*v**2 - 3*v - 4. Let h(f) = -f**3 + f**2 - f - 1. Let g(j) = -4*h(j) + x(j). Calculate the remainder when 10 is divided by g(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - o - 2*o. Let p(s) = -7*s**2. Determine p(v(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1158639 to two dps.\nAnswer: 3.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -5\/4, 5, -642, -9?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -236, -356, -476, -596, -716?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 6665.\nAnswer: -13\/6665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**3 + 7*j**3 + 8*j**2 + j**3 - 4*j**3 wrt j.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15023\/(-1086))\/((-54)\/(-324))?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -4\/9*x**3 - 1\/10*x**5 + x**2 - 1\/3*x**4 - 4*x + 0. Let n(m) be the first derivative of h(m). Factor n(y).\nAnswer: -2*(3*y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -26*w**2 - 16*w. Let x(t) = 5*t**2 + 3*t. Let u(j) = -3*a(j) - 16*x(j). Let l(f) = 2*f + 3*f - 6*f - f. Determine l(u(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 1412?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 517, 516, 515, 514, 513?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20023899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {t: 4, y: 10}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 86, 174, 262, 350, 438?\n\"Answer: 88*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/4*(-2)\/4. Let h = -3 - -3.1. Let u = -2\/69 - -16\/23. Which is the closest to u? (a) x (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -86, 0, -2, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b7ed (base 16) to base 3.\nAnswer: -2101120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2)*n*n)**43*n**(-1\/4)\/(n*n*n*n\/n**(1\/5)*n) assuming n is positive.\nAnswer: n**(759\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*a = -65*a + 408. Sort -3, -6, 5, a.\nAnswer: a, -6, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*f + 10*f - 13*f + 0 + f + 0 - 4*f + 6*f - 3*f - 3*f + 3 - 3 + (f + 2*f - f)*(4 + 0 - 2) + 2*f + 3*f - 4*f.\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -4 (c) -1\/4 (d) -2\/359 (e) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 212, 204, 194, 182?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 5:25 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3104, -3103, -3102, -3101, -3100?\nAnswer: -3099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -264*f + 107. What are the prime factors of h(-21)?\nAnswer: 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -10 - (0 + -1 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 149436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:45 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 2*b**4 - 230*b**3 + 7482*b**2 - 3698*b - 60. What is l in f(l) = 0?\nAnswer: 1\/4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12962 + -11777. What is the remainder when a is divided by 153?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46764 and 17040.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.1 - -1.1. Let m(d) = -d**2 - 367*d + 38959. Let v be m(-453). What is the nearest to v in 3, c, -4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21654 divided by -3?\nAnswer: 7218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 6*n + 3. Let g be u(6). Suppose 3*y - 2 = -y - 5*h, 0 = y - 2*h - 7. What is the greatest common divisor of g and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-2)\/(-14))\/(((-10406)\/77)\/(-22)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 839, 1675, 2511, 3347?\nAnswer: 4183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 4901*t - 126750.\nAnswer: -(t + 26)*(t + 4875)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 4. Let g be o(-3). Suppose 3*l = -4*h, 3*l = -6*h + 3*h. Suppose -i = -g, -a = -h*a + 3*i - 5. Which is smaller: a or -3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 133*l**5\/5 - l**4\/4 - l**3 + 9*l**2 - 211*l. Find the third derivative of s(h) wrt h.\nAnswer: 3192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1195, 43, -2 in increasing order.\nAnswer: -2, 43, 1195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2013303 (base 6) to base 14.\nAnswer: 26a7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58389 - -106837. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 303*b**2 - 13631*b + 99. Calculate l(-55).\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (1 + sqrt(832)*2)) + -2)**2.\nAnswer: 48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -431 + 859. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/121)\/((-86)\/473)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**4\/8 - l**3 - 3*l**2. Let y be g(-5). Solve 6*u = 3*u + y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 4:07 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*6*(-139)\/(-9). Let g = o + 1444\/15. Which is smaller: g or 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 760 + -759. Suppose -3*o - 4 = -7*o. Suppose -t + o = -w. Which is the nearest to 0.1? (a) -0.5 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i**2 + i - 2. Let h be j(-1). Suppose h*d + 9 - 34 = -5*s, 4*s + 7 = 5*d. Solve -s*x + 4*o = -6*x - 12, 0 = 3*x - 4*o - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a + 6. Let z = -141 - -140. Let q(v) = -1. Determine z*l(h) - 6*q(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24185 - 6900. What are the prime factors of t?\nAnswer: 5, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 0*l = -l + 2*l. Which is smaller: -1\/5010 or l?\nAnswer: -1\/5010","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-7))\/(4 - 3). Let i be -3 + h\/5 - -6. Solve 4*y + i*s + 6 = 0, -y + 5*s + 10 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -22. Let d = 29 + t. Find the third derivative of 149 + d*i**5 - 149 - 5*i**2 wrt i.\nAnswer: 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 9*o**2 + o + 6. Let x be q(-9). Let w be 2*(1 - x - 3). Solve -3*u = 3*y - 21, 0*u - 3*y = w*u - 16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3}. What is prob of picking 2 v?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117018 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34921, 143377, 325369, 580897, 909961, 1312561?\nAnswer: 1788697","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 uuuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 6*m**2 + 10*m**2 + 16*m)*(4 + 0 + 4) + (4*m**2 + 0*m**2 + 0*m**2)*(-2 + 5 - 1).\nAnswer: 40*m**2 + 120*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -60480 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r. Let c = -6 - 10. Let h(o) = -26*o + 16. Let d(l) = 5*l - 3. Let v(a) = c*d(a) - 3*h(a). Give v(y(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20473766731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yi when two letters picked without replacement from vsiiyvyssgvv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 9*n**3 - 3*n**2 + n + 7. Determine i(-2).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x + 14 + 26 + 42 - 68*x**3 wrt x?\nAnswer: -204*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 13. What is g in 10 + g - g**i - 3 - 5 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 7, 2, -5, -14, -25, -38?\n\"Answer: -g**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**3 + 73557*x**2 + 441450*x = 0. Calculate x.\nAnswer: -6, 0, 24525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 19*m + 0*m**2 + 19\/2*m**3 + 0. Let k(x) = -2*x**2. What is s(k(a))?\nAnswer: -114*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**3 + v**3 - 2*v**3 + (-2*v**2 + 0*v**2 - 3*v**2)*(2*v + 0 + 0).\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113024725 and 1.\nAnswer: 113024725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 1, i: 1, h: 5}. Give prob of picking 1 t and 2 h.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 1\/12*i**4 + 0 - 1\/2*i**2 + 0*i**3 + i. Let s(o) = -6*o**2 + 3. Let k(v) = 2*s(v) + 6*x(v). Let h(g) = -2*g. Give h(k(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2506\/3 + 850. Calculate the common denominator of u and -121\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140201\/12 + 11694. Calculate the common denominator of (-10)\/(-25) + (-137)\/(-20) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5105910556?\nAnswer: 2, 191, 6683129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 663?\nAnswer: 663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-9))\/(1\/3). Find the third derivative of -7 + z*p**2 + 7 + 4*p**4 wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -1)\/(-7 + 5). Let g be -1 + h - (-1)\/2*8. Suppose -2*o + 1 = -3. Are g and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1 + 86 = 0. Suppose 0 = 5*o + j - 46, k = 2*o + 2*j + 5. What is the smallest common multiple of -2 + 7 + (-3 - -2) and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 i when three letters picked without replacement from {b: 1, a: 4, e: 1, i: 2, y: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769595 is divided by 2637?\nAnswer: 2228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 10*n + 6. Let p(a) = -2*a**2 + 10*a + 14. Let h be p(7). Let t be w(h). Let f = 1779 + t. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(42\/133))\/(-1) - 10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2057848532?\nAnswer: 2, 514462133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, o: 12}. Give prob of sequence oooo.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 7 = -52. Calculate the lowest common multiple of z and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 2*g - 2. Let j be y(4). Solve -j*r = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 3154, -6, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3*w + 18, -18*t + 21*t - 2*w = 20. Solve -3*o + 0*o = -15, -2*o + t = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1215127.\nAnswer: 223, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.3137 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/14 and -81\/513270494?\nAnswer: 3592893458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 728226710 to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.00158 + -26.39158. Let u = f - -0.39. Let r = -26.0172 - u. Round r to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13720 a factor of 305050027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, n: 8, y: 2, h: 1}. Give prob of sequence yy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 - 709185*i + 4964540 = 0. What is i?\nAnswer: -141844, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 11:12 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*u - 2*m - 0*m, 8 = 2*m. Is 2233 - 2*(-4)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*f + 16 = 0, 4*r + 4*f - f = -3. Suppose -21*t = -16*t - 2*n - 13, r*n = -5*t + 18. Solve i + t = 4*v, -3*v + 4*i - 2 = -i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 5475017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -20 - 16. Suppose -q + 35 = n, -n + 2*q = -q - 27. What is the remainder when n is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8087 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 402602 to the power of 1\/2, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 21 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 + 3)*(-70*t - 1093 + 1093).\nAnswer: 700*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 13. Suppose o = -3*k + 6, 2*k - j = 2*o + 3. Suppose 121 = 4*h - k*t - 559, -5*t + 10 = 0. What is the greatest common factor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c + 6*c - 14*c - 3*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/4 in 3\/4, 1\/5, -156\/331?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svp when three letters picked without replacement from lylsvppllps.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - k + 2. Let u be a(0). Suppose -4*z + 32 = b, -6*z + z - u*b + 40 = 0. Calculate the lowest common multiple of 34 and z.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6228)\/1384*(-2)\/60?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + u + 2 - 0, 2*d = -4*u - 8. Let x(o) = -o**3 - o**2 + 8. Determine x(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -233, 5, 3 in ascending order.\nAnswer: -233, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 560667 = 733340. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 358*i + 2413. Let t be k(7). Suppose 0*z**4 + 0 + 0*z**2 + 0*z - 2\/11*z**3 + 2\/11*z**t = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t - 5. Determine q(-9).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 c when four letters picked without replacement from kekeckkkkkkeekkekk?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(5\/2)*v*v))*v**(-2\/5)*v**(-1\/4)\/v**(2\/13))\/(v**(-2\/13)*(v\/v**(-1))\/v)**(-1\/13) assuming v is positive.\nAnswer: v**(12713\/3380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -944, -1417?\nAnswer: -1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 + 404*z - 1. Let x(i) = -4*i**2 + 402*i - 1. Calculate -5*k(g) + 6*x(g).\nAnswer: g**2 + 392*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-18)*c)\/(c\/(c**(2\/31)*c)))**(-12\/17))**(-1\/5) assuming c is positive.\nAnswer: c**(-1260\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 5*n**2 + 49*n + 254. What is the remainder when 84 is divided by t(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1639, -1638, -1637, -1636?\n\"Answer: u - 1640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1935)\/(-12384))\/((-10)\/72).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 187*h - 10 + 571. Put h, 0, -2, 15 in decreasing order.\nAnswer: 15, 0, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuu when three letters picked without replacement from uuhwuttwwtutt?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 746001189 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1)*j)**(1\/4)\/((j**0\/j*j)\/j*j\/j**(-8\/9)) assuming j is positive.\nAnswer: j**(-23\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 - -95. Let v = 1.86 + -1.76. Which is the nearest to v? (a) -1 (b) -0.7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 2:39 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*b = -3, 1 + 0 = 3*i - 2*b. Let w be 2\/(-9)*(-8 - i). Solve -y - 12 = w*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -755662 - 1059228 = -70*c - 185780. List the prime factors of c.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nineteen quarters of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 13*g + 60. Let d be (-428)\/(-24) - (-2)\/g. Calculate the remainder when 852\/54 + 4\/d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + r + 2*r - r + 0*r - 3*r**3 - r**2 - r as f*r**3 + k*r**2 + o*r + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -71. Let x be (-1 - k\/38) + 2. Let p = -3\/19 - x. Which is the second smallest value? (a) -0.1 (b) -3\/4 (c) p (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 13*h + 50 = 0. Let g(f) = 12*f + f**3 - 4 - 2*f**2 - 4*f**2 - 5*f. Let s be g(h). Is 5 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -3*d**4 - 2*d**3\/3 - d - 147. What is the derivative of o(p) wrt p?\nAnswer: -36*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 5*n**2 - 3*n - 5. Suppose -2*m - 8 = -b + 1, -5*m - 19 = b. What is x(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 131 + -26?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 74. Let o = -58.9 - f. Let y = -0.03 - -4.03. What is the second biggest value in o, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202 + 2002001?\nAnswer: 2010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 21. Suppose -o - 7 = -a. Solve o*y = y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 3. Let m(r) = -3*r - 6. Calculate -11*d(n) - 6*m(n).\nAnswer: 7*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7))**(2\/69)\/(d**(2\/5))**(23\/6) assuming d is positive.\nAnswer: d**(-1241\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 8*f**2 - 10*f + 9. Let z be s(9). Suppose z = 4*x - 29 - 19. Suppose x + 5 = n. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87272, 87300, 87354, 87440, 87564, 87732?\nAnswer: 87950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 7 - 8. Let y be (-4)\/(-36)*t*-3. Is 0.18 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3 - 4*l + l + 6. Suppose 3*t = 10 - 22. Let n be z(t). Solve -n = -2*j - j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**6\/30 + u**3\/6 + 90*u**2. Let o be (4\/6)\/(2\/(-3)). Let w be m(o). What is the smallest value in 3, w, 1\/12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103928 - -12119. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(2\/(-2))*-35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(3\/2)*1. Let f be 4\/8 - d\/8. Let g = -27\/4 + 33\/4. Sort f, 4, g in decreasing order.\nAnswer: 4, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -85148*x**2 - x - 75755 wrt x?\nAnswer: -170296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let x(v) be the first derivative of 4*v**3\/3 - 2*v + 1. Let c(b) be the first derivative of x(b). Determine c(r(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -839\/246409?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039515174 to the power of 1\/2, to the nearest integer?\nAnswer: 32242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3168642*a**3*n**4 + 35*a**3*n**2 - 50*a**3*n - 5*a**3 - a**2*n**2 + 4*a wrt n.\nAnswer: -76047408*a**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3\/13 - 528*o**2\/13 - 43008*o\/13 - 1114112\/13 = 0.\nAnswer: -136, -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(-4*a - 2*a + 4*a) - 7332*a - 3 + 7702*a + 5 in the form w*a + c and give w.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29124 and 38832.\nAnswer: 116496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 3*d - s + 280 = 0, 0 = 3*d + s - 170. Let r = -52 + d. Solve 4*t - 2*w = 6, 3*w = 2*t + r*t - 10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 271, 35395, 3 in descending order.\nAnswer: 35395, 271, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 24*v + 7*v + 5*v + 6 = -11*v, 4*v = 50*g + 150 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, -16, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -274, -543, -812, -1081, -1350?\n\"Answer: -269*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*w**2 - 5 + 12*w**2 - 38*w**2)*(w - 2 + 3 + w) to t + g*w + m*w**2 + h*w**3 and give m.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1358? (a) 0.82 (b) 0.3 (c) 5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-64)\/24)\/((-4)\/18). Suppose -6*w = -2*w - y, -c + 49 = -3*w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.8138 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7494871339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 - 30*k + 16. Let g be s(8). Calculate the remainder when 6 is divided by 36\/81 - g\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2675 and 1825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**7\/5040 + l**6\/480 - l**5\/120 - l**4\/24 - 4*l**2. Let n(g) be the second derivative of v(g). Solve n(p) = 0 for p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1061 + 1506. What is the derivative of -58 + 221*p**3 + 221*p**3 + 4*p - n*p**3 wrt p?\nAnswer: -9*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q + 77. Let z(c) = -4*c - 38. Let p(w) = -3*k(w) - 7*z(w). Give p(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 56*d + 1258. Let h(c) = -11*c - 249. What is -3*g(k) - 16*h(k)?\nAnswer: 8*k + 210","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 2)*((-6)\/9 + 2). Suppose -3*x + x + 32 = -4*u, x - m*u = 22. Let l be ((-6)\/15)\/(-4 + 38\/x). Solve -4*j = -c + 11, -l*j = -j + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*h - 184*h = -p - 6, h - 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 5:02 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 - 32\/(-18). Let r = 92 + -90. Suppose d*q = -k + 8, r*k - 5 = -3*q + 8. Solve 0 = -q*v + 2*v - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 12*l**3 + 2*l**2 - 3*l**2 - 1 to the form r*l + h*l**3 + j*l**2 + u and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24276987 rounded to 5 dps?\nAnswer: -0.24277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) + (sqrt(153)\/(sqrt(9) - sqrt(81)))**2 - sqrt(85)\/(sqrt(45) - sqrt(5))).\nAnswer: -17\/2 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 25*z - 3. Let m be g(2). Suppose w + m - 346 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -5. Let l be 35\/(-4) + u\/8. Is l >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 537\/2620154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 17*s**2 + 19*s**2 - 1 + (-3 + 2*s + 3)*(4*s - 2*s + 0*s))*(-3 - 8 - 6)*(-3*s - 10 + 10) to the form x*s**2 + t*s + q*s**3 + m and give q.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + i - 2. Let x(g) = 108*g**2 - g - 6. Calculate -3*c(j) + x(j).\nAnswer: 114*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 6, -8, 2 in ascending order.\nAnswer: -8, 2, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 + 1120*z**2 - 7684*z + 10920 = 0. Calculate z.\nAnswer: 2, 5, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/4 of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 414 and 6?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97.5 - -97. Let w = 20 - 11. Let h = w + -10. What is the closest to c in h, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.261 and 0.54.\nAnswer: -7.70094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18625.284 + 18722. Let h = z - 97. Let j = 0.46 + h. Round j to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/225 and -53\/225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 236868 or 236870?\nAnswer: 236870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -460770, -459308, -457846, -456384?\n\"Answer: 1462*f - 462232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 8*l - 13 = 0, g - 2*l + 22821 - 11410 = 11414 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 (base 9) in base 11?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 298 and 7520.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 773206711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 + 2.13. What is the second biggest value in -0.1, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 14*u. Suppose u = 3*l - 4*l. Suppose -18*q + 24*q - 138 = l. Calculate the highest common factor of q and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 34. Let y be d(-6). Let l be 3 - (-5 + 7 - y\/2). What is the common denominator of l - 20\/9 - (-139)\/45 and -11\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125865 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 9 = 0. Solve 2 - 17 = 5*p + 2*u, 0 = r*p + 5*u + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3 - -3.1. Which is the closest to 1\/4? (a) h (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1142833 + 5029167. What is t rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 21 (b) -0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 25 = -4*j. Sort j, -2, 0 in decreasing order.\nAnswer: j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 263 = -3*a, 3*a = -3*f + 232 - 19. Let q = f - 27. Suppose 11 = 2*k - g, k + 2*g - q = -4*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2089.493m in micrometers?\nAnswer: 2089493000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1584 + 3?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2, -0.5, -5, 18?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from jiiiiijisviv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*sqrt(3))*2.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31882 - -31893. Let m(n) = 61*n + 1. Let b(w) = -12*w. Give x*b(s) + 2*m(s).\nAnswer: -10*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 - 2588*x**4 + 2586*x**3.\nAnswer: 2*x**3*(x - 1293)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2174, -8473, -18970, -33665, -52558, -75649?\n\"Answer: -2099*i**2 - 2*i - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 11:30 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m - 17. Is 6 a factor of z(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyi when three letters picked without replacement from ycinddinnd.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -5.3, 0.3, 2, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20620, -20625, -20630, -20635, -20640, -20645?\nAnswer: -20650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 0 + 11 + 8 + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 - 149.04. Let o = 0.04 + g. Let q = -1 + 0. What is the biggest value in 0.3, q, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z + 8 + z**3 + 0*z**3 + 6*z**2 - 10. What is x(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -654.64 (b) 3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 3*z**2 - 8*z + 10. Let s be v(4). Let x be 1 + 4\/(-3) + (-422)\/s. Suppose -35 = -2*u - 5*f, -2*u + 0*f + 2*f + x = 0. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16 = 2*d + 9, 4*t + 4*d + 8 = 0. Suppose -4*z = -7*z + 3. Let k be (4 + -2 - z)*3. Solve k*q = -4*l - 1 - 3, t*q = l - 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -5*z + 39. Let u(o) = 7. Let d(w) = 4*l(w) + 3*u(w). Let f(k) = 5*k + 5. Determine 5*d(n) - f(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -14655, -14925, -15201, -15483, -15771?\n\"Answer: -3*l**2 - 261*l - 14391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -58, -41, -8, 47, 130, 247?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 times -13.8\nAnswer: 455.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 95498753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -28. Let d be (-1)\/(-5) - 27\/c. Suppose -p + d*p = 1. Calculate the remainder when 1 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -203*o**6 + 399*o**5 - 4719*o**2 - 6*o - 5.\nAnswer: -24360*o**3 + 23940*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p + 10*p - 159 = 32*p. Which is the closest to 2\/13? (a) -18 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5 = 3*b - 0*u, 5*b + 21 = -u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/2*3\/(-3))\/1. Let f(k) be the third derivative of 0*k**3 + 0 + 1\/12*k**4 - k**2 + z*k. Let c(o) = -o. Calculate c(f(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 2391.7989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 12:14 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 379 - 1515\/4. Which is the smallest value? (a) -4 (b) x (c) 2\/9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02873 and -359162?\nAnswer: 10318.72426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -152.4 - -142.39. Round q to 1 dp.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5178858670.\nAnswer: 2, 5, 517885867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 3*x + 66 = -2*d - 38, 649*x - 1303*x - 6 = -651*x for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 363 and 0.95111.\nAnswer: 345.25293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -648, -2612, -5892, -10494, -16424, -23688?\nAnswer: -32292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*t - 3010205, -1196027 - 8075 = -2*h + 2*t. Suppose h = 14*q - 853954. What is q rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 15*o**2 - 12*o + 4. Let f be l(3). Suppose -8*t - f = -303. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 4*j + 6. Let f(s) = -s - 6. Let v(u) = u + 5. Let m(q) = 4*f(q) + 5*v(q). Let z(a) = a + 1. Let t be z(3). Give t*m(c) - h(c).\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/923013 and 65\/204.\nAnswer: 62764884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15\/4 (b) 0 (c) -149 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 10*r**2 - 2*r - 11. Let n(t) = 4*t**3 + 31*t**2 + 5*t + 33. Let p(y) = -2*n(y) - 7*w(y). List the prime factors of p(7).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991509200.\nAnswer: 2, 5, 11, 225343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15915504 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -53 (b) -5 (c) -2 (d) -12 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 8. Let a be (-26)\/10 - l\/15. What is the second biggest value in 1, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.185 rounded to one dp?\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 1:50 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 5, -4, 3, -5\/2, 64.7, 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180*g + 359*g - 180*g + 65)*(0 - 1 - 2).\nAnswer: 3*g - 195","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 21*a + 37*a = 405. Solve -5*w = -15, 0 = -5*y + 2*w - a - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27125360 divided by -1.\nAnswer: 27125360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -7576\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -146*k + 1265. Calculate v(9).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2197015*x**6 + 2*x**2 + 338*x + 88.\nAnswer: 263641800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -72, 2, -93, -3, 2171?\nAnswer: 2171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4714, -37577, -126770, -300457, -586802, -1013969, -1610122?\n\"Answer: -4694*r**3 - r**2 - 2*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1613034\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31431 (base 5) to base 3\nAnswer: -2220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56290 - 7443*g + 56290.\nAnswer: -7443*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 1783.4\nAnswer: -5350.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/2, 0, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617426.\nAnswer: 2, 308713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 4, -0.476, 2\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20379, -40754, -61129, -81504, -101879, -122254?\n\"Answer: -20375*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 164 = 636. Suppose -5*m + 91 = -2*f, 0*m + z = 3*m + f. What is the smallest value in -0.1, m, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -230 + 257. What is the highest common factor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2893108527.\nAnswer: 3, 29, 11084707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -746 - -520. Let l = -227 - u. Which is the closest to l? (a) -35 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10997.\nAnswer: 7, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + (sqrt(320) - -1*sqrt(320)) - (0 + sqrt(125) + -4).\nAnswer: 4 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 divided by 6.\nAnswer: 98\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66742.8 - -77.\nAnswer: -66665.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(2 - 2 - 1)*(-1 - 5 + 3)*(151*z - 30*z + 20*z).\nAnswer: 846*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 143, 1482, 4009, 7724, 12627, 18718, 25997?\n\"Answer: 594*h**2 - 443*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*-1643.917\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40 + 10)*((-6)\/20 - (-2)\/20). Let l(y) = -2 - 11*y**3 + 6*y**2 - 9*y + 3*y - 1 - 3. Let h(s) = -10*s**3 + 5*s**2 - 5*s - 5. Give o*h(c) - 5*l(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 453282 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = -c - 2, 4*c + 10 = p. Let x(d) = -p - d**3 - 2*d - 33*d**2 - 30*d**2 + 60*d**2. Give x(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(20\/18 + -1). Let g be (-12)\/b*(-6)\/(-2). Find the second derivative of 3*l - l**g + l - 6*l wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -25b2d + 2?\nAnswer: -25b2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 291 - 297 = 2*y, 0 = 3*q - 3*y - 15 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 647.4253 millilitres?\nAnswer: 0.6474253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**3 + 125*m**2 + 33140*m - 66740 = 0.\nAnswer: -71, 2, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117 - -5?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 21869766620.\nAnswer: 21869766622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 179 - 171, -2*k - 2*w + 14 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 257*y**4 + 3*y**3 + 3*y**2 - 375*y + 3. Let i(a) = -a**3 - a**2 + 3*a - 1. Let k(j) = -3*i(j) - n(j). Find the second derivative of k(q) wrt q.\nAnswer: -3084*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 842736311 divided by 2.\nAnswer: 842736311\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlfx when four letters picked without replacement from {x: 2, l: 6, f: 3, h: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68231 is divided by 153?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, 23, 2.\nAnswer: -5, 2, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (27\/4)\/(-30 + 1120\/64 + 11)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 25, 66*p + 5 = 64*p - 3*y. Solve g = -3*g, 0 = p*a - g - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 1. Let g be b(1). Suppose 0 = -2*k - g + 8, 2*w + 2*k = 22. Let d(r) = -5*r**2 + 2*r**2 + 3 - r**3 + r + w*r**2. Give d(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/8)\/(5\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 - 5*z**3 + z**3 + (-5*z + 3*z + 0*z)*(2*z**2 - 5*z**2 + z**2) - 4*z**3 + z**3 + 2*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177 - 173. Let f = 2\/111 - 232\/555. Let z = -16 - -18. Which is the second biggest value? (a) f (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 - 112. Let r(j) = j**2 - 22*j + 134. Let g be r(8). Sort f, g, 1.\nAnswer: 1, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723020444.\nAnswer: 2, 3061, 59051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -118000 divided by 2\nAnswer: -59000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5907.\nAnswer: 3, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 3*j**2 - 4*j**2)*(-10 - 2*j**3 + 10) - 17*j**5 - 16*j**5 + 13*j**5 + (-j**3 - 3*j**3 + j**3)*(0 + 0 - 2*j**2).\nAnswer: -16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d + 36*d = 104466. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-340)\/(-17)*(1 - 0). Let p = 51 - j. Let v = 21 - p. Which is bigger: -8 or v?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 v when three letters picked without replacement from {w: 1, i: 1, v: 2, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 5*o. Let s be d(-5). Suppose s = -q - 2 + 20. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11da9c (base 15) to base 12.\nAnswer: 353640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 820 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -0.03.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1223, 2453, 3683?\nAnswer: 4913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) + 1) + (2 + sqrt(147))**2 + sqrt(3) + 5 + 4.\nAnswer: 30*sqrt(3) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 12*s + 2 - 3 + 1 - 3. Let c be h(-1). Let i be c\/(-160)*((-75)\/(-9))\/(-5). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34\/143 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 5580?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**2)\/(p**(-3)\/p))**(-1\/45)*((p\/((p**(-6\/5)\/p)\/p))\/(p**4\/p))\/((p\/(p*p**(1\/2)*p))\/((p*p**(-1\/5))\/p)) assuming p is positive.\nAnswer: p**(73\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4506814 to the nearest 10000.\nAnswer: 4510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -33. Let d = -16 + z. Let r(k) = 4*k**3 + k**2 + 2*k - 2. Let c(x) = -20*x**3 - 5*x**2 - 11*x + 11. Let v(y) = 2*c(y) + 11*r(y). Calculate v(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*z + 80 = 886*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.4, 2, 1.304, 4 in decreasing order.\nAnswer: 4, 2, 1.304, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 62510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 311, 3\/37, 0.83 in decreasing order.\nAnswer: 311, 0.83, 3\/37","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5143 or -17?\nAnswer: 5143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.96 - 0.04. Let q = 3 + j. Let v = 365\/6 + -61. What is the closest to 0.1 in v, -2, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*(30\/60 + 5\/(-2)). Solve -4 + q = -6*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21.8 + 22. Let d = 0.0917 + -1.0917. What is the nearest to -24 in 1\/3, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 207*c**2 - 56*c + 495. What is the hundreds digit of g(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-4) + 0 + 11. Let k(p) = -2*p + h - 8. Let i(t) be the second derivative of 5*t**4\/12 - 12*t + 6. What is k(i(n))?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 151. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Suppose 0 = -5*o + 2*k - 110, 7*o - 5*o = 2*k - 50. Let w be ((-141)\/12 - 1)\/(15\/o). Let u(l) = w - 50*l + 2 + 52*l. Give u(m(s)).\nAnswer: 2*s + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(342) + sqrt(342)) + 3*2*sqrt(342))\/(sqrt(2) + -6*3*sqrt(2) + sqrt(8)*5 + sqrt(8)).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51468 and 24?\nAnswer: 102936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -430*w - 3871. Let v be l(-9). Is 6\/3007 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x - 30*x + 4*h = -9, -2*h - 6 = -2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.92*582845\nAnswer: -1701907.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069405787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**3 + 0*q + 0*q + 2*q**3 - 2*q**3 - q**3 + (3 - 3 - q**2)*(-3 + 3 + 3*q) in the form c + x*q**2 + p*q + i*q**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - (-20 - 2 - -4). Suppose 0 = k*v + 2404 - 10659. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - f - 7)*(269*f + 106*f - 14*f).\nAnswer: -361*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3223?\nAnswer: 11, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = -7*q + 4231. Calculate the remainder when q is divided by 74.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -68887.\nAnswer: -1\/68887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpepppfprfpr. Give prob of picking 1 r and 1 z.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 10*y - 5*y. Let b be (-125000)\/(1*y\/20). Round b to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 8:59 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/175 and 121\/81130.\nAnswer: 405650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94 and 4042?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1\/2, 0.27, 11.\nAnswer: -6, 0.27, 1\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o - 20 = -4*u, 0 = 3*u - 5*o - 2. Let g be (-7)\/14*u\/11. Let b = -7439\/9 + 827. What is the nearest to 0.06 in b, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 107385, 215069, 322753?\n\"Answer: 107684*l - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v + 20. Let c be n(0). Let p be 1\/(-3) - 25\/(-3). Calculate the highest common factor of c and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 1. Let t be q(3). Find the third derivative of 2*z**t - z**3 - 6*z**2 + 2*z**2 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - 12*k**2 + k + 11. Determine n(-5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.02*5.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40478 and 25604?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z - z**2 + (6*z - z - 3*z)*(-19*z + 10*z - 44*z).\nAnswer: -107*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - (5 - (-16 + (-20 - -17)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**9))\/(w\/w**(-4\/5))*(w\/(w*w**(-1)))**47*((w*w\/(w\/(w*w**(2\/5)\/w)))\/((w*w*w\/w**(-3\/4)*w)\/w))**(-15) assuming w is positive.\nAnswer: w**(1429\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = -5. Solve -v - 5 = 3*w, -w + n*w + 4*v - 13 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*c = -50*c - 71127. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1800 and -121\/1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1508, 2979, 4406, 5789, 7128, 8423?\nAnswer: 9674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -5, -30?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 262 (base 11) to base 14\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 327180756 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -44. Suppose m = -b - 0*b + 6. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/(-15) - 10\/(-25). Solve 5 = 2*d + 3*j + 2*j, 6 = -p*d - 3*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*h - 3*z, 0 = 2*z - 7 - 3. Let c(u) = 8*u - 1. Suppose -7 = p - 1. Let i(o) = -o. What is h*c(l) + p*i(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 - -39. What is the remainder when 15*((-4)\/6)\/(-2) is divided by 2\/w + 23\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -17. Let s = 7 - n. Is s less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.355 + 1.64. Let o = z - 0.025. Round o to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111010 (base 2) to base 8\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 4. Let b(t) = -2*t - 5. Let g(x) = 3*b(x) - 4*j(x). Let n be g(1). Suppose 0*h - 381 = -n*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2702929\/48 - -56314. Calculate the common denominator of h and 1*-3 + 453\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*l + 73, -4*i + i = -5*l + 92. Let x(h) = -3*h + 15. Let t be x(8). Calculate the remainder when ((-66)\/t)\/((-6)\/(-45)) is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 816709500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/143 - 4\/(-22). Let x be (2\/(-10))\/((-52)\/(-5)). Let s = x - l. Is 1 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 + 48 = 4*s - 5*h, 3*h = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 9, l: 10}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-119) - 13638\/38641\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/8)\/(-6))\/(8\/(-6)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - j**4 - 8*j - 3*j**3 + 0*j - 5 - 18*j**2 + 5*j**3 + 7*j in the form k*j**3 + n*j**2 + l*j**4 + o + z*j and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19\/7, 396, 1\/7, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*g, 3*z + 1 = -g + 12. What is the smallest common multiple of z and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -65105085.4 rounded to the nearest one hundred thousand?\nAnswer: -65100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 335 and 260?\nAnswer: 17420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -17. Let s(b) = 3*b - 1. Let r be s(2). Suppose r*j - a = -1. Let c(m) = -8*m**3. Calculate c(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-15) + (-2)\/10 + 85. Suppose 25*i - 285 = 565. Calculate the highest common divisor of i and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -103, -157, -213?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.37 * -2685.6.\nAnswer: 993.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sedeeexeeedeeseeers. Give prob of sequence eres.\nAnswer: 11\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -469, -472, -473, -472, -469?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1386248 + -784869. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 39.7. Let m be (-4)\/(-18) + (-8)\/(-126). Which is the second smallest value? (a) m (b) -17 (c) p (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 1 = -8*k. Is 4 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 344, 1, 8 in descending order.\nAnswer: 344, 8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 23 = 47. Calculate the common denominator of 95\/36 and d\/(-2)*(-140)\/2070.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724183353?\nAnswer: 3, 181, 444557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1550*o + 1523*o + 108 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 81 + 35 - -7\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9596399 is divided by 161?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 24946 = 43771. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r - 38. Let k be g(5). Let u be (7 + 63)\/((-4)\/14). What is the remainder when u\/(-15) + 2 + 7\/k is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.67 in 6, -0.7, -6\/5, 0.2, -4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqdtdqqd. What is prob of picking 1 t and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22409 at least 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 16 - 0\/2. Let g be (t\/14)\/(6\/4). Suppose 8 = 3*y - g. Solve 4*f = j + y - 1, -2*f + 8 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4 - 88*l**3 + 3218*l**2 - 3128*l.\nAnswer: -2*l*(l - 23)*(l - 1)*(l + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/574 and -137\/44526.\nAnswer: 311682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 12 = 2*g - 8, 2*g + 5*l = -15. Find the second derivative of c - g*c + c**3 + c**3 wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -226.2 + 228. Sort -2\/7, i, 0.4, 0.3 in decreasing order.\nAnswer: i, 0.4, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 7. Let k be b(-1). Suppose 4*u + k = 4*i, 5*u + 5*i - 13 = -3. Solve 3*w + 4*l + 31 = u, l = 3*w - l + 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 - -72. Solve -4 = 13*t - c*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18\/81 - 104\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/6)\/(2\/508) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*2*13\/(-39)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9\/(((-6)\/21)\/((-24)\/21))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4139795 or -2?\nAnswer: 4139795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4\/5 + 590728*d**3\/5 - 87239301766*d**2\/5 - 34896075144*d - 17448096645 = 0.\nAnswer: -1, 295365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -17 - 13. Let z be 12\/16 + p\/(-120). Which is the third biggest value? (a) 4 (b) 2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-8) - (682\/124 + (-8)\/1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -129*o + 84*o + 50*o. Let x(p) = -14*p - 3. Give x(n(w)).\nAnswer: -70*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w - 2. Suppose -2*h + 9 = -5*x - 1, 5*h - x + 21 = 0. Let z be i(h). Solve -p - 5*c + 19 = 0, 3*c = 2*p - c + z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -356597 greater than or equal to -356596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -2. Which is greater: 8 or w?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32830 - 18090. Suppose -w - 405260 = s. Round s to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - 4*p**2 + 4*p**2 + (0 + 0 - 1)*(-p**2 - 3*p**2 + 2*p**2) - 4*p + 4*p - 4*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 7*v**2 - 15*v. Let w(d) = -4*d. Let l(p) = -a(p) + 5*w(p). Let h(f) = f. Calculate 5*h(j) + l(j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 + 0.7. What is the third smallest value in h, 0.1, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60142982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 + i**3 - 28030*i + 14 - 3*i**2 + 28016*i to k*i**3 + c*i**2 + u + f*i and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151867 is divided by 383791.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2393 = -4*d + 2365 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, x: 2, y: 5, o: 5, n: 3}. What is prob of picking 1 s and 2 o?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/7316 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 542*g**2 - 3*g + 2. Is a(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 = -19. Let k = 5 + p. Let l(u) = u**2 - 11*u - 2. Let o be l(11). Sort 0, k, o in descending order.\nAnswer: 0, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71024\/63 - 7890\/7. Factor w*x**4 + 0*x + 0 + 98\/9*x**2 - 28\/9*x**3.\nAnswer: 2*x**2*(x - 7)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/2608 and 71\/892914.\nAnswer: 7143312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v\/(v*v**3*v*v))\/v))**(4\/7))**(3\/2)*((v**2)**30)**(8\/5) assuming v is positive.\nAnswer: v**(708\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -125370 and 3.\nAnswer: -376110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 8:44 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -396 divided by -11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 168825 divided by -15?\nAnswer: -11255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/(93 + 39675\/(-230))\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10147875.774 to the nearest 1000.\nAnswer: -10148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.2 - 47. Let a = -10.7 - w. What is the third biggest value in a, 3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 220*d**2 - 3*d - 12. Let s(r) = -r - 5. What is -b(o) + 2*s(o)?\nAnswer: -220*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -5.93. Let x = b - 0.23. What is the closest to 0 in x, 0.5, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -195596 or -3325126\/17?\nAnswer: -3325126\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q = 0. Suppose -5*b = -2*c - 4, 4*b - 11 = -c - q. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 2*x**2 - 5*x - 24. Let u be z(4). What is the greatest common divisor of 143 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -4 - 0) + -4 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -15*o + 3. Let f(u) = 26 + 29*u - 18*u - 63 + 27 + 35*u. Give -3*f(a) - 10*v(a).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3719713788?\nAnswer: 2, 3, 7, 14760769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 6:34 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 1:29 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11175500178 from 9.\nAnswer: 11175500187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(108))*1 - (3 + (-3*sqrt(108) - sqrt(108))))**2.\nAnswer: -360*sqrt(3) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -579 + 1219. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 51661.18 centimeters?\nAnswer: 0.5166118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -60, -62, -64, -66, -68?\n\"Answer: -2*f - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 40*r**4 - 25*r**3 - 25*r**2 + 20. Let a(t) = -t**3 - t**2 + 1. Let n(p) = -25*a(p) + j(p). Differentiate n(x) with respect to x.\nAnswer: 160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1310511, -1310505, -1310485, -1310445, -1310379?\n\"Answer: y**3 + y**2 - 4*y - 1310509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 7. Suppose -2*x - 6 = -4*x. Let u be ((-8)\/(-4))\/((-4)\/x). Which is the second biggest value? (a) -2\/17 (b) u (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5746 - 2461?\nAnswer: 3265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -5*k + 3*i - 15, 0 = k - 3*i + 3. Let x = k + 6. Suppose -2*d = -x*d - 3100. Round d to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5377602*l**2 + 225584?\nAnswer: 10755204*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.37 + 0.07. Let a = -7 + -5. What is the fourth smallest value in 1\/4, w, 0.5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 43*x - 15. Calculate h(22).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 - 5*h**2 + 3*h + 21. Let d be c(4). Is -173 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28631642801\/4690534 + 133\/76894. Let s = 6104 + o. What is the common denominator of s and 36\/5?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 67.2. Which is the nearest to -9\/8? (a) 3 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.4 - -6.4. Which is the nearest to 1\/4? (a) s (b) 0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 7*v**2 - 2*v**2)*(-368 + 67*v + 368 + v - 3*v - 4*v + 3*v + 2*v - 3*v - 3*v + 2*v - v + 0*v + 0*v - 2*v + (-5 + 2 + 4)*(-2*v + 0*v + 0*v)).\nAnswer: -570*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/7)\/x*x*x*x\/(x*x*x*x\/(x**(-27)*x)*x) assuming x is positive.\nAnswer: x**(-208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -52, -81, -108, -133, -156?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-234*120\/131760)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8601 and 183.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2204663057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 4 - (3 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -12*f - 5. Let w(a) = a + 1. What is r(s) + 6*w(s)?\nAnswer: -6*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*r - 2*r + 4*r)*(604 + 948 - 1279) - 3*r + 3*r + 2*r)*(r**2 + 2*r + r**2 + r**2) as a*r + y*r**2 + p + k*r**3 and give y.\nAnswer: -1088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(713\/23)\/31.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 3)*(-27 - 14*c + 27) as v + k*c and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -23a444?\nAnswer: -23a445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**4\/2 + 986*n**3\/3 + 59511*n**2 - 620010*n - 12439. Factor h(g).\nAnswer: 2*(g - 5)*(g + 249)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -8003.\nAnswer: 4\/8003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 43497 - 9890 = 4*c, -5*c = 4*h - 26891. Is 28 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -18*f + 10*f - 4 + 10*f. Give s(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22398829 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(0 + -5 + 2). Let m = b - -8. Suppose 88 + 12 = m*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -323 - -378. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a factor of 40140175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.7 (b) -0.5 (c) 10 (d) -98.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 12 = -21*d. Suppose -2*j + 5*n = -963, 0 = 5*j + d*n - 0*n - 2391. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 6:05 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93.79 - 94. Let j = -0.51 - m. Sort j, -1\/2, 3\/2, -4\/5 in descending order.\nAnswer: 3\/2, j, -1\/2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1206, 1198, 1176, 1134, 1066?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 10*g + 6. Suppose b + y - 17 = -4*y, -g*y = -2*b + 47. Calculate the remainder when 85*-1*2\/(-2) is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -9. Suppose 8*h - 9*h + 3*g + 5 = 0, l = 5*h - g - 25. What is the second derivative of 3*a**5 + 257*a**4 + 26*a - 257*a**4 + 3*a**h wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130230604 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 3*j**3 + 78455*j**2 + j**3 - 78460*j**2 as w*j + f*j**3 + s*j**2 + p and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7620953 is divided by 1316.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0 - -2) + (72 - 58) + -23 - -21\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 635*k - 21465. Calculate s(34).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 5 + ((-6)\/(-7) - 4982\/(-658)).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/(((-4)\/(-24))\/((-26)\/39))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 5*i**2 + 2*i**2. Let r(b) = -b**2. Calculate r(a(h)).\nAnswer: -81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivvxsvxsixsi. What is prob of picking 2 i and 2 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-seven halves of a microgram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110131?\nAnswer: 7, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 + 10*c**2 + 22*c + 5. Let m(g) = -5*g**3 + 21*g**2 + 49*g + 10. Let i(l) = 3*m(l) - 7*r(l). Determine i(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*4*(-1*sqrt(1089) + sqrt(1089) + sqrt(1089)))\/(sqrt(147) - (sqrt(147)*-2 + sqrt(147))*-1 - (sqrt(147) + 2*sqrt(147))*3).\nAnswer: 44*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3741361\/12 + 624467\/2. Let q = y - 1334\/3. Calculate the common denominator of q and (-4)\/18 - ((-68663)\/(-252))\/17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 277*g - 2480. What is z(-8)?\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*b + 422, 5*v - 474 + 464 = 0. Calculate the smallest common multiple of b and 160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaalaallaaaaaaaalaaa. Give prob of picking 2 a and 1 l.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/((-5)\/30). Let o = -8 - y. Is o*(-2)\/12*18 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*c - 4*c. Is 15 a factor of (-17)\/(-2)*(7 + c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 5, -1, 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in 0.5, 50, -0.8?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24627.9744ms to days.\nAnswer: 0.000285046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 24 = 4*y, -y = t + 4*y + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1488 + 876. Is b greater than -615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(-7) + -2)\/(-1). Let k = 88 - 86. Let l(o) = 2*o - 1. Let c be l(k). What is the third biggest value in c, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 398 + -383 - (2 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2816 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 2. Let h = 182 + -184. Let w(p) = 2*p - 1. Let o(q) = h*j(q) - 4*w(q). Let a(t) = -t**2 - t**2 + t**2 + 6*t**2. Determine o(a(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129168 and 314244216.\nAnswer: 1885465296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -133*x + 127*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:45 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/48350234 and 33\/1943728.\nAnswer: 386801872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -44*(-310)\/(-1023) + (1 - -13). Let v = -953 - -10495\/11. Which is the nearest to x? (a) -2 (b) 2 (c) 1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -42*((-14)\/4)\/7. Let j = t + -18. Solve -j*m = 17 - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93591.\nAnswer: 3, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 161649?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 286\/33 + 2\/(-3). Let o = r - -4. Suppose 5*g = -2 + o. What is the highest common factor of g and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*p + 27*p**2 + 35*p + 26*p - 2 + 35*p - 2 to k*p + g + c*p**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 336532 by 4.\nAnswer: 84133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 444275.1kg in grams?\nAnswer: 444275100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 2287680?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8221*u + 16213*u - 1050 = 8142*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 37. Solve 2 - 4 = w - 2*h, -k*w - 4*h + 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 + -75. What is the second smallest value in y, 94, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -30*v. Let k = 105 + -107. What is the units digit of n(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8064*p - 80758. Calculate z(10).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2048*m**2 - 67*m - 31. Let y be f(-3). What is the greatest common divisor of 262 and y?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + s. Let z be i(1). Let h(g) = g**3 + 2*g**2 - 2*g + 2. Let a be h(z). Suppose -3*v + 2*b + 62 = 0, -5*b + 26 - 45 = v. Is v != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, c: 1, d: 4, l: 6}. Give prob of picking 3 d and 1 c.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4559.\nAnswer: 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 130 - 1 - (0 - -10). Which is greater: 110 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v\/(v\/(v*v**2*v)))*v)*v\/(((v\/(v*v*v**0\/v))\/v)\/v*v))\/((v**10\/v)\/v**(-3)) assuming v is positive.\nAnswer: v**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 10:44 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-2 - 24) - 6) + (-14 - (-17 + 11))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167254139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 5 = -6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/5 - 18*j**2\/5 + 24*j\/5.\nAnswer: 3*j*(j - 4)*(j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 143*s**2 - 1204*s + 952. Give z(-151).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9\/13, -115, 0.3, -3, -11\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/32 and (7665\/4648)\/15*-1?\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q + 2*q)*(8*q**4 - 6*q**4 + 0*q**4 + (-2*q**3 - 2 + 2)*(-1 + 1 + 2*q)).\nAnswer: -2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1012?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e9 + 1?\nAnswer: 3ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 655 - 0) + 0. Suppose 703*y - 707*y + 4*f + 109 = -f, 0 = -4*f + 44. What is the highest common factor of y and v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**7\/42 + j**4\/2 + 7*j. Find the third derivative of u(f) wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(85) + sqrt(85) + sqrt(85))*-2)\/(sqrt(5) - 6*sqrt(180)) + 5.\nAnswer: 8*sqrt(17)\/35 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75413 is divided by 112?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/60*-65 + 4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297 and 324.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**3 + 63*b**2 + 223*b - 17. Is s(42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -551, -1365, -2495?\nAnswer: -3941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d**2 - 138*d + 20. What is the remainder when 1312 is divided by c(-27)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 28971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 3:24 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/160468 and 3\/1694.\nAnswer: 1765148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.07 - 39. Let t = r - -16.23. Let s = -18 + t. Which is the second smallest value? (a) 0 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714624.7 millilitres to litres.\nAnswer: 714.6247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 180\/40*(-2)\/12. Is k greater than or equal to 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30940482, 30940483, 30940484, 30940485?\nAnswer: 30940486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11*y**3 + 4*y**2 + 4*y + 13. Let c(w) = -22*w**3 - 9*w**2 - 9*w - 27. Let u(i) = -4*c(i) - 9*d(i). What is the first derivative of u(q) wrt q?\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -497 - 30?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p**2 - 2*p**2 - p**2 + (-2*p**2 - p + p)*(-3 - 3 + 0))*(1 - 1 + 6*p**2) to the form i*p**3 + a*p**4 + z*p + q*p**2 + c and give a.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 AM and 4:15 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 4:06 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8891 - 6606. Does 29 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3212 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 52\/(-13) - 8\/(-2). Suppose -6*w - 55984241 + 4144241 = t. What is w rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*i = 18, r - 5*r + 4*i + 132 = 0. What is the greatest common factor of r and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 + -42. Let r = m + 18. Calculate the remainder when r is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (2 - 9 - -4) - -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.11? (a) -0.6 (b) 2 (c) -44 (d) 3 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -3 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.377656 years to centuries.\nAnswer: 0.07377656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 2*p**2 - 3*p**2)*(2*p - 5*p + 4*p) + 2651*p - 70 + 70 - 24376*p**3 - 2651*p.\nAnswer: -24375*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 1:01 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/4 - 8*p**3\/3 + 5*p**2\/2 + 45*p + 32. Let r be y(-8). Solve 2*k + 2*k = -5*w - 16, 5*k + 20 = -r*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 2*u**3 - 2*u)*(-5*u - u + 4*u) - 3*u**4 + 0*u**4 + 0*u**4 - 3*u**2 + 3*u**2 - 3*u**4.\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4403*q - 4408*q - 9*b = -38, 4*b + 12 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 112 = -2*d - 4, -57 = -3*m - 3*d. Suppose m + 31 = u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 10. Let c = 29 - k. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1007191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 3. Let d be t(-3). Let a(x) = -x**3 + 7*x**2 - 3*x - 8. Is a(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694*b = -795*b - 243*b + 53692 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3\/2)\/p)\/(p**1\/p)*p**(-5)*p*p\/(p\/(p**(-13)*p*p)))**14 assuming p is positive.\nAnswer: p**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*r + 728 = -352 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 639249 and 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38694, -77389, -116084, -154779, -193474?\nAnswer: -232169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/2053 + 2065\/12318. Which is the closest to -1\/2? (a) -2\/5 (b) 218 (c) k (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 4*b**2 + 3*b - 5. Let g be m(-5). Suppose -g*r + 3*i = -36, r - 3*r = -i - 14. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1158*r + 289*r + 31981 = 236*r - 6694 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96772 less than 96772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 17, 47, 95, 167, 269, 407?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35*(-2)\/(-4))\/((2300\/(-40))\/23).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 134726833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k. Let n(f) = 555548*f**2 - 24*f - 4. Let b(v) = 10*l(v) - n(v). Let c = 8 + -2. Let x be b(c). Round x to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*z**3 - 6*z**3 + 17*z**2 - 9*z**3 - 4*z**2 + 24*z**3 in the form t*z**3 + k*z + c + r*z**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*4\/(-40)*(-18)\/(-9)*46.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -6, -0.11, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 22 = 61. What is i rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -652 divided by 326\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**3 + 9*t**3 + 14*t**3)*(3*t - 3*t + t**2).\nAnswer: 17*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55\/2 + -27. Let m(p) be the first derivative of 1 - r*p**2 - 3*p. What is the first derivative of m(s) wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 102, 136, 152, 144, 106, 32, -84?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481.4026 millennia to years.\nAnswer: 481402.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-65))\/((-48)\/180)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128956074.\nAnswer: 2, 3, 13, 61, 27103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 90 = -140*k + 146*k, -5*k - 4*c - 53 = 0 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157.4 + -157.4. Let q = -21\/16 + 57\/80. Which is the third smallest value? (a) q (b) o (c) 5 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 0*f**4 + 0*f + 2*f**2 - 1\/60*f**5 + 0 + f**3 - 1\/120*f**6. Determine d(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16281 + 9*y + 16*y**2 - y - 15618 wrt y?\nAnswer: 32*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*b**3 - 67*b**3 + 26*b**3.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Let p = -3 - q. Let j = 2\/21 + -31\/105. Which is the third smallest value? (a) j (b) p (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-24)\/(-90)*21\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 - 0.16. Let r = -10.2 + 12.2. Which is the closest to -1? (a) i (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a9 + -9?\nAnswer: -907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*m + 4631*m**2 - 4*m - 4630*m**2 as j*m + p + v*m**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1697 and 14304013.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1215144 and -89\/44960328.\nAnswer: 44960328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 902 and 62788.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 14 = -c. Let k = -13 - c. Calculate the common denominator of 69\/20 and k\/(-15) - 447\/(-70).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (30 - 29)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 3229784\nAnswer: -1291913.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -3*v + 5, 42*v + 1 - 11 = l - 8 - 0 - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**3 + 6*p**3 + 18*p**3 + 13*p**2.\nAnswer: 36*p**3 + 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 1 + 92*y + 2*y**4 - 93*y + y**2 as n*y**3 + i*y**2 + v*y**4 + h*y + o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**4 + 184*g**3 + 15376*g**2 - 325816*g - 5141004 = 0. Calculate g.\nAnswer: -51, -11, 29, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h = -140. Suppose -5*s + h = -s. Let l(y) = y**3 - 8*y**2 + 10*y - 10. What are the prime factors of l(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 18 - 14)*(5*n**3 - 3*n**3 - 3*n**3) - n**3 - 2*n**2 + n**3 - 3*n**3.\nAnswer: 28*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -49*i**5 + 9436*i**4 + 32840*i**3 + 17344*i**2 - 18832*i + 3136 = 0.\nAnswer: -2, 2\/7, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-28 - 276\/(-8))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 4\/9, -1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-6))\/((-32)\/(384\/45))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 6*c + 5. Suppose 3*g = 3*y - 9, 3*g + 0 = -4*y - 2. Let n(m) = 2*m**3 - m + 1. Let v be n(y). Suppose z - 4 = v*z. Determine t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 + 0.6. Let s = 0.3 - 4.3. Which is the second biggest value? (a) -5 (b) s (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 2*u + 59 = -55, 12*u + 2866 = 111*l + 19*u - 3*u for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -103, -148, -189, -226?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 164\/(-3) - (-3)\/(-9). Let c = -33 - u. Find the second derivative of c*w**3 - 3*w - 22*w**3 + w**4 wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 2*y**2 - 3*y - 2. Let v = 8 - 16. Let j = v - -11. Give x(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 1 - 1 + (1 + 3 - 5)*(1986 - 1425*w - 1986) - w - 2*w + w.\nAnswer: 1421*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 22. Let f be q(12). What is the units digit of f\/(-5) - 3\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-9)*21 + 3. Suppose c - 2*c = -d. What is the remainder when 28 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 4197028239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4592251 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*n - 2. Suppose -2*h - 2 = 0, -n*u + 8*u - 178 = -2*h. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 4. Let i(j) = -j - 1. Let h = -2261 + 2271. Give h*i(r) + 2*s(r).\nAnswer: 2*r**2 - 10*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a = 27. Suppose -4*w + 14 = -82. Calculate the remainder when w is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -635411 less than -4815.946?\nAnswer: 630595.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614094 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (109*u**3 + 357*u**3 - 234*u**3)*(152*u - 1 + 5*u + 2*u) in the form d*u**4 + n + v*u**3 + o*u + q*u**2 and give d.\nAnswer: 36888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 397, 1544, 3445, 6094, 9485, 13612, 18469?\nAnswer: 24050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 386*y + 6787. Calculate c(-19).\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4) + (-11 - -6 - 2) + 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/8 - 5953495*v**2\/8 - 1107620395841*v + 46520713000461\/2.\nAnswer: -(v - 21)*(v + 2976758)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2. Let u(j) = -j**3 - 10*j**2 + 9*j - 22. Let g be u(-11). Calculate l(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23\/8? (a) 2 (b) -0.09 (c) -1 (d) 4 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 + 14*r**3 + 7*r**3 - 6*r**3.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 9:57 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/189)\/4)\/((-1)\/(-6)*1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 6:25 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2663.0316ms?\nAnswer: 0.000739731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {m: 2, p: 17}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**2 + 5. Let k = -1428 - -1422. Let i be (-1*1)\/(1\/5). Let a(m) be the second derivative of 7*m**4\/12 - 3*m**2 + 2*m. Calculate i*a(v) + k*t(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/41470 and -25\/46574.\nAnswer: 3027310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u + 8. Suppose 218 = u*m - 178. Suppose 4*b = m - 27. What is the remainder when 33 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*z - 40 = 67. Let o(i) = -72*i - 2. What is o(z)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 983301088?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 421025788807 + -0.046\nAnswer: 421025788806.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 420, 3, -1.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1, -14, -3.\nAnswer: -14, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -23\/4*p**4 - 1\/8*p**5 - 2725\/2*p - 2645\/4*p**2 - 763\/8*p**3 + 2125 = 0.\nAnswer: -17, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, l: 1}. Give prob of sequence hl.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2.5 (b) -19 (c) 0.005 (d) -66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/3)\/(-1) + 2. Let u = 34 + -34.13. Let w = u + 1.13. Which is the nearest to m? (a) -2 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -15*c - 44. Calculate the remainder when j(-5) is divided by (-4 - -2)\/(1\/(-8)*2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*t**3\/3 + 144741*t**2 - 3441880*t\/3 - 82688 = 0. What is t?\nAnswer: -1\/14, 8, 31008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*s = -7*s - 28, 0 = -5*i + s + 116. Suppose 39*n - i = 36*n. Calculate the smallest common multiple of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.97425 micrograms to kilograms.\nAnswer: 0.00000007597425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2. Let b(t) = -t + 5*t - t + 3*t. What is r(b(l))?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.116 and -1.\nAnswer: -0.116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-22) - 3\/(-6). Put o, -4, -3, -2 in descending order.\nAnswer: o, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10828*m**3 + 761*m - 5.\nAnswer: 64968*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjyjnxg. What is prob of picking 1 x and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1493*c**2. Let o(s) = -5*s + 44. Let j(m) = -m + 8. Let u(n) = -11*j(n) + 2*o(n). Calculate u(y(z)).\nAnswer: 1493*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5425 by -5.\nAnswer: -1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*75\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -232967, -465433, -697899, -930365?\n\"Answer: -232466*h - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00072690613 to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1009352, 4 in ascending order.\nAnswer: -1009352, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from {h: 1, t: 4, k: 3, p: 1, l: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from waasawfjasjjaaj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*m - 706, -27*m - 5*j - 582 = -30*m. What is the highest common divisor of 16 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*q - q + 14*q)*(-3 + 1 + 0)*(485 + 321 - 412) as g + p*q and give p.\nAnswer: -18124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/(w\/(w\/((w**7*w)\/w)*w))*(w\/(w*(w**(2\/3)\/w*w)\/w))**(7\/2))**(-2) assuming w is positive.\nAnswer: w**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = u - 10, -k + u - 18 = -14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2.8, 7, 5, -2, 679, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 323\/123944 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 - -3 - 2) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1471*a + 29*a**2 - 1471*a.\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/26 and 103\/58756?\nAnswer: 763828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -294 and -0.17.\nAnswer: 49.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -25002 not equal to -25004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Factor -724*a**2\/5 + 5492*a\/5 + 9216\/5.\nAnswer: -4*(a - 9)*(181*a + 256)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -81*k**6\/2 - k**3\/3 + 4*k + 362. What is the third derivative of l(r) wrt r?\nAnswer: -14580*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -64*g**2 - 1. Let y(q) = -38*q**2. Determine y(w(z)).\nAnswer: -155648*z**4 - 4864*z**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21988*n**2. Let f(z) = -295*z. Determine x(f(o)).\nAnswer: 1913505700*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5438664 divided by 6867.\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-63))\/(54\/(-42))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6995 rounded to two decimal places?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 529080 by -40.\nAnswer: -13227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtq when three letters picked without replacement from wrrtwwrwtqwwsrrrwrrw?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -16 + 0*n + 0*n**2 - 7\/3*n**3 - n**4. What is the third derivative of d(s) wrt s?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 585, -2\/3, 5, 1\/4, 6, 1\/3 in ascending order.\nAnswer: -2\/3, 1\/4, 1\/3, 5, 6, 585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -29. Suppose 12*n - 7 = q*n. Suppose -n*p + 1334 = 473. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3 (b) -9 (c) -7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-1 + -1 - (-7 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53658249493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*l - 13, l + 27 = 5*q + 29 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*z - 15. Let i(c) = 5*c - z*c + 2*c + 3. Suppose 2*w + 14 = -b - w, -w - 10 = 3*b. What is i(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-105)\/14*12\/(-15) and 62.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -540 divided by 5.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.320192 centimeters to micrometers.\nAnswer: 13201.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*w + 18. What is the smallest common multiple of w and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(448)*-4 - sqrt(448)))**2 + -5 - (sqrt(35)\/(sqrt(7) + (sqrt(35)\/sqrt(5) - sqrt(7))) + sqrt(5))*-6*-3.\nAnswer: -36*sqrt(5) - 1599\/320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1967944 - 1192461. Let a = 171381254\/221 - f. Let b = a - -41\/13. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 2*l + 99 - 244, -k + 55 = -2*l. Calculate the greatest common divisor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*f + 37*f + 67 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105565990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 2*q**5\/5 + 3563*q**3\/3 - q**2 + 3576*q + 8433. Find the second derivative of p(j) wrt j.\nAnswer: 24*j**2 + 7126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2. Suppose -x - 5*y = x - 3, -x = -5*y + 6. Let h = 1 - x. Let v(r) = 4*r**2 - 3*r**h - 2*r**2. What is 6*f(u) - 7*v(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -27, -42?\n\"Answer: -15*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62541*g = -62526*g + 120 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1151 and 2735927?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-29)*(-5)\/(-20). Let f = -46 - -185\/4. What is the third biggest value in p, 0.4, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 14 - 8)*(-3*h**3 + 5*h**3 - 4*h**3) + h**3 - 3*h**3 - 4*h**3.\nAnswer: -34*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -368*k - 365*k + 1107*k - 370*k. Let a(c) = 377*c**2. Give a(y(i)).\nAnswer: 6032*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 3. Let v(j) = j + 1. Suppose -4*o = 2*k - 1 + 11, 4*k - 4 = 4*o. Suppose -241*c = -24*c - 868. Calculate c*v(m) + k*d(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from kmmmkkkkrkwkmkmmm?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -594, -589, -584?\n\"Answer: 5*p - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 114 = -2*m - 0*m, -3*m + 53 = 2*o. What is the remainder when o is divided by (-4)\/(-5)*(-25)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4ab7 + 0?\nAnswer: 4ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 125208384?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 716 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 4*n + 3*c - 11, 3*c = -n + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -694, 164, -2 in descending order.\nAnswer: 164, -2, -694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 11) to base 2.\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2026 times 24.5?\nAnswer: -49637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 13 = -2. Let o(l) = l**2 - 2*l + 3. Let s be o(1). Solve 0*r - 2*r - 13 = -3*g, h*r + s*g = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 3*d**2\/2 + 32*d - 6. Let p be b(19). Let j = 13 + p. Is j a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**6 + 60*c**4 + c**2 + 95*c.\nAnswer: -600*c**3 + 1440*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 11:56 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 8*l - 1. Let v be r(-9). Let w = v - -5. What is the tens digit of (-233)\/(-5) - (12\/w - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-92)\/8 + 2)\/(14\/364). Which is greater: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4, 6\/406195, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42 + 15?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2916723 is divided by 555.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 a when three letters picked without replacement from {a: 12, m: 1, k: 4, r: 3}?\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1683332 by -4.\nAnswer: 420833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 3*r + 2*r**2 + (-3*r + 2*r + 4*r)*(4*r + r + 0*r) + (-2 - 3 + 4)*(-4*r**2 + 2*r**2 + r**2).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/12*(1 - 1). Suppose 3*h - 33 + 6 = l. Suppose 1 - h = -m. What is the remainder when 29 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6566683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*l - 236407, 59097 = l - 4*d + 8*d. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2, -2, -12, -28, -50, -78?\n\"Answer: -3*u**2 + 5*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.38 + -746.38. Let v = -730.1482 - i. Let y = 0.15 + v. Round y to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535761 is divided by 6320.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71535, -286129, -643785, -1144503?\nAnswer: -1788283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by 72.\nAnswer: -13\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16154 - -11647?\nAnswer: 30023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 2*u - 4. What is n(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (7 - (11 + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -0.54. Let o = g - -1.06. Let f = -0.3 - 0.7. Which is the closest to -2\/5? (a) o (b) f (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + z - 9 = -3*z, z - 111 = 4*j. Let w be (-3)\/5*70\/(-98). Which is the second smallest value? (a) 1\/5 (b) -1\/2 (c) w (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**4 + 17*a**3 + 36*a**2 + 19*a + 3. Let q(h) = -h**4 - h**2 + 3. Let w(i) = -3*q(i) + 3*z(i). Let w(s) = 0. What is s?\nAnswer: -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -t - 5, 0 = 2*t - 2 - 4. Let v be 1 + o + (-10)\/(-18). Which is the closest to -1? (a) v (b) -17 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 993 and 20.2?\nAnswer: 20058.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 9:30 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*w**6 - 2*w**5 + 137049*w**3 + 1119*w**2 - 120 wrt w?\nAnswer: 600*w**3 - 120*w**2 + 822294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, v: 3}. Give prob of picking 1 v and 1 t.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 786 and 135978?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 6, 2*f - c = -8 + 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38 + 38 - b + (-2 + 2 - 2*b)*(3 - 5 - 1).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 12*i + 2 + 0 + (-1 + 1 + 2)*(-2*i - 3*i + 3*i))*(-4*i**4 - 2*i**4 + i**4) - 3*i**5 - i**5 + i**5 + (i - 3*i + i)*(-i**4 - i**4 + 3*i**4).\nAnswer: -44*i**5 - 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4\/3, 2, -0.1 in descending order.\nAnswer: 2, 4\/3, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.649332us in nanoseconds?\nAnswer: 649.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.607956 + 1222790?\nAnswer: 1222787.392044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4260553 (base 7) to base 16\nAnswer: 7eaf3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -11. Suppose h*u = 4*u + 12. Let j be 49\/14*3\/u. Is j smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u + 12. Let b be d(-5). Let i(l) = -51*l + 9. Let c be i(b). Calculate the highest common divisor of 18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 19*x + 9. Determine q(-6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -116283*w + 3652. Let h(f) = -255*f + 8. Determine -1826*h(u) + 4*x(u).\nAnswer: 498*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1893*j**3 + 165*j - 52 wrt j.\nAnswer: 11358*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3040681361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13636700107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9870831 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 226139.19 microseconds?\nAnswer: 0.0037689865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from aztvjvg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + (sqrt(20)\/sqrt(4) + 4)*-3 + sqrt(180)\/(sqrt(20)\/sqrt(5)) + 1 + -3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4132 - 2733. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**22)\/(v*v**(1\/19)))**(-24\/7) assuming v is positive.\nAnswer: v**(10056\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -3*t + 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*s + 11, -2*i + 3 = 2*i + 5*s. Suppose -i*r + 12 + 4 = 0. Is 8 a factor of r\/(-8)*64*1\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-16)*(-1)\/(-7)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j - 15 = 33*j. Suppose 60 = j*r + 3*r. Let h = -4 + 12. What is the lowest common multiple of r and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61406042 divided by -11317?\nAnswer: -5426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2 - x + 24. Let d(a) = -3*a**2 - 25. Let f(v) = 5*d(v) + 4*r(v). What is the remainder when 140 is divided by f(11)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = 4*m + 6*y, 31 = 4*m - 3*y. Which is the fourth smallest value? (a) -9 (b) -0.5 (c) -2\/19 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -30)*(-23)\/(-92)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 7 = 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**2 + 1908*t = 0.\nAnswer: 0, 636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmmwwww. Give prob of picking 1 w and 1 m.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 72591643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94036*u**3 - 46766*u**3 - 47259*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4490 (base 12) to base 7.\nAnswer: -31101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 + 1089 = g + 5*b, b + 5884 = 4*g. Let c = -968 + g. Let m = c - -857. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139740 and 1290?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51147*i**3 + 21*i**2 + 44*i - 5.\nAnswer: -306882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 701728\nAnswer: 1\/175432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0.09, 5\/436, -3\/5 in descending order.\nAnswer: 4, 2, 0.09, 5\/436, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*u = 331*u - 240 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4*u**3 + u**2. Give r(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 5\/1398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -10*i + 140. Let r be q(19). Let d be 16\/(-10)*r\/20. Put d, -28, 0 in decreasing order.\nAnswer: d, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*j**3*s + 3*j**2*s**3 + 13*j*s**3 + 30177*s**3 wrt j.\nAnswer: 81*j**2*s + 6*j*s**3 + 13*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -4*o - 6, -3*o + 4*w + 53 = 65 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2823268*p**3 - p**2 + 792*p - 615 wrt p.\nAnswer: -16939608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 2 = -8. Let w be (-41 + -7)*(3\/(-2) + m). Suppose 2*t = -4*c + w, 4*t - 7 - 6 = -c. Solve 5*z - 3*z = t, -3*n - 3*z = 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1277764062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 + -4 - (8 + -8) - 6. What is the closest to 0.3 in w, 2\/21, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/17, -5.1, 5, 3, 5\/3 in decreasing order.\nAnswer: 5, 3, 5\/3, 6\/17, -5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 14 - 26. Is (-394 + -3)*(a + -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10720067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 12:25 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-6)\/10))\/(-153*(-375)\/3201525)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-67)\/(-2) - (-2)\/4) + 3. Let q = r - 33. Suppose -z - 2*z = -12. Solve z*y - 2*y + q = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a8a (base 11) to base 10\nAnswer: 5301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((u + 0*u - 2*u)*(5*u - 3*u + 0*u) - 12*u + u**2 + 12*u)*(2 + 3*u + u - u) to z*u**2 + l + o*u**3 + f*u and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/18*4\/15*-12. Calculate the greatest common factor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21460071 or -21460061?\nAnswer: -21460061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(24) + sqrt(48)\/sqrt(2)*-4 - sqrt(48)\/sqrt(2)*2)\/(sqrt(96)\/(sqrt(72)\/sqrt(96))))**2.\nAnswer: -75\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 135? (a) -6 (b) 0 (c) -31 (d) 12 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/155470 and -123\/155470.\nAnswer: 155470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 27. Let u = d + 10. Which is the third smallest value? (a) 3 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i - 3. Let c be 3\/12 + 21\/12. Calculate the remainder when g(c) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.4 and 1162?\nAnswer: -2788.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -593 - -596. What is the smallest common multiple of d and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m + 31*m = -288. Calculate the highest common factor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 11*g**2 + 3*g - 4. Let q(i) = -i**3 - 10*i**2 - 4*i + 5. Let o = 212 - 208. Let s(v) = o*q(v) + 5*j(v). What is the third derivative of s(u) wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 - 63*c**2 + 6*c + 38. List the prime factors of j(-32).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 2*j - 2*p + 18, -6*p - 41 - 19 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -20*k**2 + 157*k + 23. Let i be n(8). Which is the third smallest value? (a) 3 (b) i (c) 4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, -80, -7, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y**2 + 4*y - 22. Let h be u(6). Suppose 0*w - h = -l - 4*w, -5*w = 20. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 620 and 186?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -248 - -265. What is the highest common divisor of q and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9099 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60539 + 3752. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i**2 + 54*i + 11991. Give x(-44).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2798, 0.8, 5 in ascending order.\nAnswer: -2798, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/4 + 4. Let w be (-2730)\/250 - ((-74)\/(-100)*-8 - -6). What is the closest to w in h, 0.2, -2\/17, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 - 98 = -6*f. Let b = 86 + f. Suppose 0 = -b*c + 345 + 762. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x + x)*(7*x + 4*x + 2*x).\nAnswer: 26*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1128*w - 10086. Calculate u(9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -468600000 rounded to the nearest one million?\nAnswer: -469000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + 0*w + 5*w + (15 + 8 + 5)*(-7*w + 3*w + 2*w) - 15 - 37*w + 12 - 62*w to the form x + t*w and give t.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3300 by -150.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 235*q + 9 + 31*q**2 - 7 + 366*q - 128*q.\nAnswer: 31*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.2628307 and -131.\nAnswer: -121.7371693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2409 + -2348. Solve -q*p + 64*p - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 969816787 to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3531925 (base 10) to base 2\nAnswer: 1101011110010010010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4 = -j. Does 22 divide (j\/10)\/(2\/220)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7057410 divided by 6410?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 6*k - 5. Let i be y(-4). Let m = -48 + 48.27. Let n = -2.73 - m. Which is the smallest value? (a) i (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-5)\/10)\/((-2)\/(-8)). Calculate the remainder when 43 is divided by (2 + -17)*6\/g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 5. Let u be s(-8). Let a = 27 - 31. Let k be u + (-4 - 12\/a). Sort -4, k, -2 in descending order.\nAnswer: -2, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of c**3 + 3*c**2 + 3*c - 25. Let r be m(-2). Does 15 divide ((-15)\/(-4) - r)*80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5831462 to the power of 1\/2, to the nearest integer?\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 3*k - 2*k)*(0*k - 4*k + 6*k - 216*k - 195*k + 58*k + (k + 0 + 0)*(-5 - 1 + 4)).\nAnswer: 353*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73975458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/29406 and 51\/8468.\nAnswer: 4293276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1764116 + 119?\nAnswer: 1764233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21613628633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.419487 - 1?\nAnswer: -99.419487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 2*o**2 + 10*o**2)*(-o + 3*o + 2 + 0*o) to the form y*o + x*o**2 + b + f*o**3 and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/7, 0.4, 11 in descending order.\nAnswer: 11, 0.4, 2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2838, 2835, 2832, 2829?\nAnswer: 2826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1508*y - 169150. Give c(-112).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let w(h) = 756540*h. Determine i(w(q)).\nAnswer: -756540*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10152*g**3 + 990*g**3 + 4548*g**3.\nAnswer: 15690*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 360756 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0333545 to four decimal places.\nAnswer: -0.0334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/628488 and 163\/3612.\nAnswer: 628488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5 - 32*x**4 + 92*x**3 + 288*x**2 + 162*x = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1657 is divided by 501?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -126 and -0.16?\nAnswer: 20.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 2:18 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/158804 and -65\/558552?\nAnswer: 16198008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 328779225010 rounded to the nearest 1000000?\nAnswer: 328779000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5547 is divided by 135?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5088 divided by 928.\nAnswer: 159\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(3 + -5) + 10. Let f = m + -9. Suppose -5*g + 5 = f*u - 29, -3*u = -g - 4. Solve u*v = -2*i - 3, -4*i + 1 = v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggmg when four letters picked without replacement from mmgggmmgmmm?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7145.9 - -110.\nAnswer: -7035.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44840, 44849, 44872, 44915, 44984, 45085, 45224?\nAnswer: 45407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -65?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 13417 = -q - 3618, -3*z - q + 29387 = 0. What are the prime factors of z?\nAnswer: 2, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/90)\/(94\/235)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 11:00 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3316 + 3965. Calculate the greatest common divisor of l and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 62*p - 524. What is a(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31952.44 grams to tonnes.\nAnswer: 0.03195244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 226a3 - 365?\nAnswer: 22339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 227*a**2 - 454*a + 908. Let b(i) = -2*i**2 + i - 2. Determine 454*b(f) + m(f).\nAnswer: -681*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 170115 - 169982.021. Let g = 0.479 - j. Let f = 132.500691 + g. Round f to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8579.689 days to nanoseconds.\nAnswer: 741285129600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30664640 and 360?\nAnswer: 275981760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 749.9516 centimeters in micrometers?\nAnswer: 7499516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z + 46 = 4*i, -2*z = -2*i - 34. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5910 + 5890. What is the closest to 1 in -0.1, 1, -17, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 13. Suppose -3*w = 7*i - 2*i - 15, 5 = w + 5*i. Suppose -8*d + 105 = -w*d. What is the remainder when d is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - sqrt(176)*4) + -4 + -5)**2 + (6*2*sqrt(11) - -4*sqrt(88)\/sqrt(8)).\nAnswer: 232*sqrt(11) + 1665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.549654 millennia to centuries.\nAnswer: 95.49654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*o**4 + 4*o**2 - 25*o**4 - 7*o - 58*o**4 + 152*o**4 - 2*o**3 as b*o**2 + j*o + i*o**4 + d*o**3 + l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9376.7 + 10677.627?\nAnswer: 1300.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.7 - 17. Which is the second smallest value? (a) 2 (b) k (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 161*q. Suppose -5*w + 5*u + 25 = 0, 0 = -3*u - 6 - 6. Is b(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - j**2 - j. Let o(g) = 14*g**3 + 4*g**2 + 34*g. Let t(m) = -o(m) - 4*s(m). Find the second derivative of t(k) wrt k.\nAnswer: -60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.094642 - 7.6?\nAnswer: -7.505358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -762*m**4 + 3*m - 355*m**4 - 295*m + 858*m - 978*m**4 wrt m.\nAnswer: -25140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81.48 + 196. Let j = -21.82 + v. What is j rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12))\/((-35)\/(-15)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2. Let d(p) = -5*p**2 - 11*p + 11. Let y(w) = -w**2 - 2*w + 2. Let m(b) = -2*d(b) + 11*y(b). Give m(j(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2197740607 - 21\nAnswer: -20.7802259393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**4 + 12*o - 11*o - 4*o**3 + 8*o**3 - 5 to the form c*o**4 + d*o**3 + t*o**2 + n + w*o and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10766197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 12*o + 21. Calculate i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2*2\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 7 = -5. Suppose -4*p = -q*p. Suppose p = i - 3*i. Are -2\/19 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*h**2*m**2 - 14047*h**2*m*o**3 + 2*h**2*w + h*m**2*w - 416*h*m*o**3 + 5*h*o**3*w - 4*h*w - 4*o**3 wrt h?\nAnswer: 80*m**2 - 28094*m*o**3 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*h = 0. Let t = -973\/29510 - -1\/454. Which is greater: t or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 9*a + 2. What is j(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*i = 0, -6 = -2*f - i. Suppose v + 0 = -l + 3, f*v = -4*l + 9. Suppose -16 = -5*n + 9, -5*p - 2*n + 70 = l. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)*s*s*s**(4\/5))\/(s\/(s*((s\/s**(-2))\/s)\/s*s))**(-3\/10) assuming s is positive.\nAnswer: s**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from ckkc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 311490556 divided by -26\nAnswer: -11980406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15363)\/(-72) + 2\/4)\/1. Let m = 214 - y. Sort 2, m, 0 in ascending order.\nAnswer: 0, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -588.9 - -614. Let s = -25 + x. Let i = -0.1 - 0.1. What is the biggest value in -4\/5, s, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125413, 250820, 376215, 501592, 626945?\nAnswer: 752268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 152 = -12*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a microgram in nanograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2298593 and 14\/165.\nAnswer: 34478895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5197 + 12021 - 1644 - 5180 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 + 3*y - 7. Let n(a) be the third derivative of a**5\/20 - a**4\/12 + 2*a**3\/3 + 136*a**2 - a. What is 7*n(f) + 4*p(f)?\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -12.2. Let y = 2.2 - u. Which is the nearest to 2\/9? (a) 0.4 (b) y (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**8\/168 - g**7\/105 - 81*g**5\/20 + 77*g**2 + 3*g. Find the third derivative of y(p) wrt p.\nAnswer: 120*p**2 - 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-5))\/((-4081)\/(-17490)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -35 in descending order.\nAnswer: 5, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4596 or 4595?\nAnswer: 4595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, l: 1, u: 2, j: 2, d: 1}. What is prob of picking 1 l, 1 c, and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2284*f = -2279*f. Is -6\/11 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -14981 = -14978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134678456 to the nearest integer?\nAnswer: 11605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -106*r**3 + 3*r**2 - 3*r - 138. Let i(y) = -210*y**3 + 5*y**2 - 5*y - 277. Let u(o) = -5*f(o) + 3*i(o). What is the first derivative of u(d) wrt d?\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*c + 54 + 24, j - 40 = 2*c. Is c bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/((-3)\/(-2) + -3). Let l = -17 - d. Suppose -l*b = -10*b - 34. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -5, -4*d + 4*y = 4 - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -459b (base 14) to base 2\nAnswer: -10111100111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1980\/97 and 19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 85. Suppose -y*w + 24444 = 22*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**3*u**3 - 1479*t**3*u**2 + 46*t*u**6 - 6*u**4 wrt u?\nAnswer: 12*t**3 + 5520*t*u**3 - 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2278*j*o**3 + 60*j*o**2 + 2294259*j wrt o.\nAnswer: -6834*j*o**2 + 120*j*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0359 + -0.0409. What is the closest to -0.2 in 1\/3, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 222\/11? (a) 3\/4 (b) 1 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t**(-16)*t)\/t*t*t\/(t\/(t**(-1\/34)\/t)) assuming t is positive.\nAnswer: t**(-511\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + (2 - (1 + 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1956 - -1955. Is b less than or equal to 5\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/7)\/(-5))\/(5596\/(-137102))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14905 = 97*u - 14905 + 28452 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.12 - 4.88. Let d = 0.5 - 5.5. Let i = -4 - d. Which is smaller: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 divided by -280?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (6 - (0 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*l**4 - 48100*k*l**2 - 9*k*l + 426398386*k wrt l?\nAnswer: 8*k*l**3 - 96200*k*l - 9*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 4*r**2 + 2*r - 3. Let t be b(3). Let d be 1*-6*2\/t. Suppose -w = -6*w + 10. Solve 2*z + d = -w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2241, -26, 3675, 8868, 15559?\nAnswer: 23754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) 0.4 (c) -5 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (3 + -5 - -8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -2) + -64 - -28.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 - 547 = -68*t - 53*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8\/1044)\/(3 + 294\/(-99)) and 50\/27?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*2*-4 - sqrt(13) - (sqrt(13) + sqrt(13) + (sqrt(13) - (-1 + sqrt(52)))))*2 - ((sqrt(260)\/sqrt(5))\/sqrt(4) + -3 + sqrt(637)))**2.\nAnswer: -56*sqrt(13) + 10193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*m - 30*m + 22*m**2 + 5*m.\nAnswer: 22*m**2 - 57*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*v + 13658 = 6618 for v.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.141.\nAnswer: -0.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.45 and 70.7.\nAnswer: -243.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p - 5. Let g be d(-5). Let z = -6 + g. Let m(y) = 2*y**2 - 7*y + 4. Calculate the lowest common multiple of m(z) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s**2 + s. Let d be 2*3*1\/(-6). Determine q(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3.5. Let l = -3.5 + s. Let m = -7434 + 7434. Sort -2\/5, m, l in decreasing order.\nAnswer: m, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005355 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:25 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 + 0 - (32 + -35) - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 6) to base 16.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4805*p**5\/3 + 33325*p**4\/3 - 2165*p**3\/3 + 35*p**2\/3 = 0.\nAnswer: -7, 0, 1\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c - 4104. Suppose -q = 2*q - c. Suppose -12*n + 91 = -365. What is the highest common factor of n and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/2)*l)**(-2\/13) assuming l is positive.\nAnswer: l**(-3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 112*c. Let v(y) = -47*y + 12. Let o(q) = -1421*q + 364. Let j(d) = 6*o(d) - 182*v(d). Give b(j(w)).\nAnswer: 3136*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-2))\/w)**7)**(8\/3)\/((w**4*w\/(w*w*w*w*w*w\/(w*w*w\/(w\/(w\/(w*w**(-1\/6)\/w))*w))*w*w))\/(w\/((w**5*w)\/w)*w*w**(1\/5))) assuming w is positive.\nAnswer: w**(-393\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*x - 151*x + 4 = 0, 3*w - 3*x = 60249. Does 47 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21120300 - 1?\nAnswer: 21120233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 74510.79m?\nAnswer: 7451079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6add + -3?\nAnswer: 6ada","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 7 = 44. What is the tens digit of (969 + p)\/6 + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 3*l = -143, -34*q + 35*q + 26 = -2*l for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {c: 9, k: 7}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 7*m + 10. Calculate the least common multiple of w(-7) and ((-1)\/(-2))\/(1\/16).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/34 and -9\/26.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3 + (-1 + 4 - 1)*(5 - 2 + 0))*(2*l**3 + 2*l**2 - 2*l**2).\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 152\/(-95) - 193676\/(-35). Which is smaller: 5533 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 1\/2, -2\/9, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1693 + 6937. Calculate the greatest common divisor of t and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14787\/28351 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*d - 3*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15244, 30532, 45820, 61108, 76396, 91684?\nAnswer: 106972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188110851.\nAnswer: 3, 62703617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 5*q**2 - 2*q + 7. Let f = -203 - -57. Let s = 151 + f. What is b(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 6*o - 3. Determine a(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/60 (b) 3\/2 (c) 0.5 (d) 0.050143 (e) 0.4 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 4, 4\/7, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, t: 1, w: 1, c: 2, j: 1, u: 3}. What is prob of sequence rucu?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217984 divided by -54496.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/36)\/p**(-5\/3)*(p*p**(-33)*p)**(-45) assuming p is positive.\nAnswer: p**(50281\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -503 - 6744073?\nAnswer: -6744576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(0 - 1 + 0)*(-9 + 9 - 2*b)*(-78 + 29 - 91) in the form k + u*b and give u.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12584\/(-1716) + (-116)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*m - 217 = 0, 6*m - 259 = -2*h + 171. Solve 95 = -193*r + h*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 229*p**3 + 2*p**2 + 37362*p - 65212032 wrt p?\nAnswer: 687*p**2 + 4*p + 37362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91636, 183273, 274910, 366547, 458184, 549821?\nAnswer: 641458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + 3*s - 5*s)*(0*s + s + s)*(4*s + 2*s + s).\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 253*h**2 - 127*h**2 + 668*h**2 + 274*h**2 in the form j*h**2 + c + o*h and give j.\nAnswer: 1068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 590, 2010, 4778, 9344?\nAnswer: 16158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 15*n + 29. Let u(v) be the second derivative of 7*v**3\/6 + 15*v**2\/2 + 11*v. Let p(k) = -6*i(k) + 11*u(k). Differentiate p(w) with respect to w.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 55*m + 26. Calculate s(-55).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -630 plus -0.6?\nAnswer: -630.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 15*g - 1 + 39 = -17*g, -6*z + 7*z + 3*g = -1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 582 or 148\/19?\nAnswer: 582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -45816 at least as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -688b5 (base 16) in base 6?\nAnswer: -13102245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a + 3. Let l(m) = -9*m - 10. Let t(h) = -4*l(h) - 14*y(h). Calculate t(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*t - 52. Suppose 0 = -4*a + 6*a + 548. Does 8 divide a\/(-10) - 12\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1726 or -1728?\nAnswer: -1728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 5, 1904, -79.\nAnswer: -79, -21, 5, 1904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 + 3*d + 4. Let q(l) = 4*l + l - 3*l + 3. Let x be q(-3). List the prime factors of t(x).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1106555 divided by 6?\nAnswer: -1106555\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*g - 18*g + 8*g + 8*g**3)*(3 - 3 - 2*g) + (-g - g**3 + g)*(-3*g + 0*g - g) to the form n*g**2 + r*g + f + t*g**3 + b*g**4 and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 30*v**2 + 55*v + 308. What is h(32)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from fnizzziimmmzm.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/19 or -11046\/79?\nAnswer: -11046\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 23*h = -108. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -16. Suppose 0 = -5*a + 2*w - 2, 7 - 5 = -k*a + 2*w. Solve 0*x - 5*x + 20 = a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1903 + 0.0903. Let k = -654 + 654. Sort -2, q, k.\nAnswer: q, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4551977.\nAnswer: 521, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o + 4*r - 2*r, -4*r + 13 = 5*o. Let n(v) = -5*v + 2*v + o*v. Let p(a) = -2*a + 2*a - 3*a**2. Determine p(n(l)).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2852, -3556, -14236, -29188, -48412, -71908?\n\"Answer: -2136*q**2 + 4988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 391930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/28)\/((-425)\/(-255))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1604)\/(-259046))\/((-1)\/(-19)). Which is the biggest value? (a) -5 (b) 1\/3 (c) 1.8 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*o = 104*o - 120. Let g(p) = -36*p + 7. Let m(l) = -l + 1. Let x(r) = -g(r) + 6*m(r). What is the remainder when x(1) is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -18*k**2 + 20*k + 9. Let b(q) = -4*q + 2. What is -5*b(m) - i(m)?\nAnswer: 18*m**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 663.3406m to centimeters.\nAnswer: 66334.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7325 and 879.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -35?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5\/8 + -1\/8. Let s = 10 + -9. What is the nearest to d in s, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**4\/12 - 5*d**3\/6 + 2*d**2 - 2*d. Let k be o(3). Let j = 3236 + -3255. Put j, k, 2, 1 in descending order.\nAnswer: 2, 1, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 7:59 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6368021 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from tvttttvvvvvttttttt?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 7. Let w be s(-3). Let t be (-1 - -1) + (-8)\/w. List the prime factors of ((-6)\/(-9))\/(t\/(-516)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - 252 + 324 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a centimeter in micrometers?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*i + i + 4, -2*l = 3*i + 8. Let n be (4 + -2)\/l*-1. Find the third derivative of 2*u**4 + 3*u**4 - 26*u**4 - 28*u**2 + 10*u**n wrt u.\nAnswer: -504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -1 - -1) + -228 + (40 - 34) + 74?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -304 + 435. Let m = t + -46. Suppose 0 = -c + 6*c - m. Calculate the greatest common factor of c and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = -30. Let w = d - 4. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75847 and 598454.\nAnswer: 621793706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2 and -40\/61.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9389687 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617) - (-2*1*sqrt(1617) + sqrt(1617)))\/(sqrt(3) + sqrt(3)*-1*5 - ((-2*sqrt(147) - sqrt(147)) + sqrt(3))).\nAnswer: 7*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -10*g - 31. Calculate the remainder when d(-4) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2390 = -68*l + 67*l, 9509 = 4*l - b. What are the prime factors of l?\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 200 = 3*n. Let t = n - 27. Suppose 0 = -0*a + 2*a - 3*g - t, -24 = -5*a - g. Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 159, 233, 307, 381, 455?\nAnswer: 529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*b + 8 + 12, 0 = 5*x + b - 24. Suppose x*z + 3*o = 19, 0 = -2*z - 3*z - 5*o + 30. Which is smaller: -2\/17 or z?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -493*h*n - 49*h - n + 2 wrt n.\nAnswer: -493*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70494 is divided by 261.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6738 - 2376 = -335*h + 1941. What is the remainder when h is divided by (4\/6)\/(2\/21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 289419910 and 130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7634\/(-1388) - (4\/(-10))\/((-20)\/75)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/8 + (-246)\/(-4). Suppose -106 = -4*i + j. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyy when three letters picked without replacement from {j: 2, y: 4, u: 2, n: 5}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(405) - sqrt(45))**2 + (sqrt(20)*3 + sqrt(5))**2 + (sqrt(5) - (0 + sqrt(245))) + -4 + 1.\nAnswer: -6*sqrt(5) + 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4630, 4650, 4672, 4696, 4722, 4750?\nAnswer: 4780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -75985200 to the nearest one million.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1566 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/9 (b) 0.3 (c) -6 (d) -5066 (e) 3\/5 (f) 0.016\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -2 + 1)\/1. Let k be 2 + w + 0 + 24. Suppose 5 = -d + k. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2835*g**2 - 1719*g**2 - 2006*g**2)*(2*g + g + 0*g) + 4*g**3 + g**3 - 3*g**3.\nAnswer: -2668*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -20. Let o = w + 0. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.691 - -65.509. Let k = 77 - r. Let d = -8 + k. Round d to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 50*r**2 - 233*r - 25. Let g be w(-29). Suppose -3*q = 2*d - 32, -q - 3*q - 5*d + 31 = 0. Solve -5*v - q + g = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) 1 (c) -4 (d) -54 (e) 2922\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12162239 to the power of 1\/2, to the nearest integer?\nAnswer: 3487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*n = 3*w - 411*n + 7, 0 = -5*w - n + 39 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 744, 1762, 3444, 5778, 8752?\nAnswer: 12354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -3.2 (c) 3 (d) 0.3 (e) 32\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 5*l - 4*l + (3*l - l - l)*(2 - 7 + 3) - 233*l - 84*l + 40*l to the form n + d*l and give d.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.49497657 + 0.495. What is f rounded to 6 dps?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-6)\/(-10)*(-55)\/264*-8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, -1436, 5, 2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 595 + -309. What are the prime factors of g?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -135\/149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 801360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14263*r**3 + r**2 - 592*r + 371190861?\nAnswer: -42789*r**2 + 2*r - 592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -21*m + 58. Calculate v(-16).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 79 = 4*t - 5, 0 = -3*a + 5*t + 181. Let y = -28 + a. Let j be (2 - 0) + 1\/1. What is the highest common factor of j and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 445*k**2 - 8*k + 108. Is h(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -16. Let c = -218\/9 + 242\/9. Is c less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14 + 1)*(2 - -1). Calculate the common denominator of y*(-1 - 41\/(-36)) and -59\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (42\/(-4))\/(69\/(-12) + 5). What is the greatest common divisor of p and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 2*v - 1228. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -8*r + 25*r + 264 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5410604 and 1060.\nAnswer: 1433810060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b = -5*c - 165, -c - 3*b = 21. Let s = c - -23. Find the common denominator of -7\/20 and (2415\/200)\/s + 3.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10508603 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 43, 96, 201, 376, 639, 1008, 1501?\nAnswer: 2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {a: 10, e: 2, c: 1, y: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 2*q + 6, 0 = 5*q - 130*n - 50 - 190 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.755036 millennia to centuries.\nAnswer: 97.55036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/13 + 5\/52. Let v = -51 - -33. Let p be (-4)\/(-6) - (-102)\/v. What is the nearest to 0.1 in p, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {w: 5, m: 7, d: 4, b: 3}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 298999.17 months?\nAnswer: 2491.65975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 89*j**2 - 4807*j + 55. Calculate v(54).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 6. Let g(z) = -1. Let j(r) = -d(r) - 6*g(r). Let x(p) = -9*p**2 - 3. Give x(j(i)).\nAnswer: -36*i**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -23, 294 in descending order.\nAnswer: 294, 17, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/3)\/t)\/t)\/t**(-3\/4))\/(t*t*((t**(-2\/5)\/t)\/t*t*t)\/t*t)**(1\/12) assuming t is positive.\nAnswer: t**(-43\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 2400.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 225940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 29*h**6\/3 - 77*h**2\/2 + h + 20. Find the second derivative of n(q) wrt q.\nAnswer: 1160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -106?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40e (base 16) to base 2.\nAnswer: 10000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13.921959412 and -2222.\nAnswer: -2208.078040588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 + -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1497, -517, -2533, -4551?\nAnswer: -6571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19380 divided by -4845?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 26*s - 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-72)*36\/84)\/((-15)\/(-1600)*-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apppbao. Give prob of sequence ob.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39465119.\nAnswer: 39465119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*j + 8*j**2 + 46*j + (0*j + j + j)*(-3*j + 5*j - j) - 4*j**2 + j**2 + j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3697, -3694, -3691, -3688?\n\"Answer: 3*x - 3700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + -1 + 0 - (sqrt(117) + -1)**2.\nAnswer: -119 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243494*t - 220594*t - 6336*t + 66741*t + 36607*t.\nAnswer: -367076*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46875*o**2 + 2994*o**2 + 44607*o**2.\nAnswer: 94476*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 8 = -3*l, -2*l + 4*l = -5*r - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19226.\nAnswer: 2, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*d - 579, 0*b + 138 = b + d. Suppose 3*p - b = -4*k - 22, k = -p + 31. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2916)\/(5*sqrt(128) + sqrt(2)))**2.\nAnswer: 108*sqrt(2)\/41 + 8182\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 1315?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2*1\/2*-6)\/(-2). Suppose -5*s + 116 = g*d, -3*d - 2*d = -3*s - 216. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:29 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 193335410512?\nAnswer: 193335410513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, h: 1, f: 1, e: 2, d: 1, o: 1}. What is prob of picking 1 f, 1 d, and 2 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7656 is divided by 537?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f + 52 = 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6497 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71945528.1 rounded to the nearest ten thousand?\nAnswer: 71950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -7. Let u be s\/(2 + (2 - 2)). Let r = -164\/5 + 33. Is r at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, x: 5}. What is prob of sequence rxxx?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 1 + 4)*(5 - 2 - 2)*(v**4 - 2*v**4 + 3*v**4).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(sqrt(800) + (sqrt(800) - -2*sqrt(800) - sqrt(800))))**2 - (sqrt(72) + -4 - (sqrt(8) + sqrt(8)*-1*5))*1.\nAnswer: -14*sqrt(2) + 57604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 6*z**2 + 3*z + 6. Let j be t(4). Let q(n) = 14*n. Let y be q(5). Let c = y + j. Does 14 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/(-16)*(-8)\/3. Let t(k) = k**3 + 8*k**2 + 11*k + 9. Let o be t(w). What is the greatest common divisor of o and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 3:08 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5136 is divided by 629.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.085, 201\/50, 4?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.33 - -0.13. Let q = -7 - -4. Let j = z - q. Which is greater: j or -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x - 10. Let h = 69 + -64. Let n be a(h). Suppose -2*z = -n*r + 2*z + 355, 5*z + 350 = 5*r. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -344874 or -344875?\nAnswer: -344874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - sqrt(432)*-2*-4)**2 - sqrt(432).\nAnswer: -12*sqrt(3) + 21168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1820880693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3254 is divided by 812?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -524*g**6 + 63*g**4 + 16*g**2 - 15*g - 11 wrt g?\nAnswer: -62880*g**3 + 1512*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-5)*(-120)\/(-12). Let v be (6 - -3)*(-8)\/(-6). What is the greatest common factor of d and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157\/3 + 53. Let v(j) be the first derivative of 1\/4*j**4 + 0*j - 3\/5*j**5 + p*j**3 + 0*j**2 + 3. Solve v(q) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69161243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 64 (c) -8 (d) 0 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.290919 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:10 AM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9694, -21612, -37984, -61036, -92994, -136084, -192532, -264564?\nAnswer: -354406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - r)*(-4*r**4 + r**4 + r**4 + (2*r**2 + r**2 - 2*r**2)*(2*r**2 + 2 - 2) + 2*r - 2*r + 2*r**4 + 0*r**4 + r**4 + 2*r**4).\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.060162854 to three decimal places.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613 a factor of 32179405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v + 5. Let w(j) = -5*j - 4 - 3 + 0*j. Let i(p) = 7*q(p) + 5*w(p). Let f(c) = -47*c**2 + 20*c**2 + 12*c**2 + 19*c**2. What is f(i(k))?\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 892 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 602 = 3*q + 4*y, -5*y - 575 = -5*q. What is the common denominator of q\/(-6)*3\/7 and 67\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1335906 + -920437. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6893 and 2599.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21201021001020 (base 3) to base 9.\nAnswer: 7637036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 26. What is the smallest common multiple of 22 and o?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969 is divided by 116?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/6*(-816)\/170. Solve 5*v + k = -i, 4*v - i = -12 + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 75 + 8*m**2 - 98 - 11*m + 186. Calculate b(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 414 and ((-9)\/3*3)\/((-5)\/(-480)*-8)?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-14) + (-24)\/84. Let r(i) = s - 4 + 3 + 0 + i. Let a(o) = -15*o + 20. Let q(y) = a(y) + 20*r(y). Let x(l) = -l**2. Determine x(q(c)).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {x: 6, n: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p - 28. Let x = p + 7. Solve -5*c + 11 + 14 = x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q - 17 = -r, 5*r + 5*q - 40 = 0. Solve -3*o + r = 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*g - 2*g. Suppose -g*q = -9 + 24. Let h be 0 - -9 - (5 + q). What is the highest common divisor of 63 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1130867 is divided by 1854.\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a meter in millimeters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 279039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**31)\/z**22)**12 assuming z is positive.\nAnswer: z**(-612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/21*2)\/(5448\/(-171612))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c**3 - 5*c - 4. Let r(k) = 17*k**3 - 15*k - 11. Calculate -4*r(j) + 11*y(j).\nAnswer: -2*j**3 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 23761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**2. Let c(g) = 9*g. Let f(o) = -3*o. Let h(v) = 2*v + 5. Suppose i + 9 - 1 = 0. Let t be h(i). Let y(w) = t*f(w) - 4*c(w). Calculate d(y(r)).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -676 (base 9) to base 13.\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 12 - -16)*1\/1. Let r(n) = n**2 - 11. Determine r(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 10:24 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 6*d**2 + 5*d + 2. Let u be p(-5). Calculate the smallest common multiple of 5 and 2*u*1\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-12)*4\/24*-16.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 53 (c) -3210\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 10 = -18*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -30*u**2 - 19 - 12 + 31. Let c(q) = q**2. Calculate c(w(a)).\nAnswer: 900*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a centimeter in millimeters?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13627*w**4 - 2357 wrt w?\nAnswer: -54508*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-5) + (-1 - -2). Suppose 2*r + 0*r + 2*f - 38 = 0, -2*r + 8 = -g*f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {y: 5, w: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -614872*u**3 + 390201*u?\nAnswer: -3689232*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**3 + 6*g**2 - 6*g. Let k(n) = n**3 - n**2 + n. Let p(t) = -t**3 - 3*t**2 + t - 6. Let b be p(0). Determine b*k(z) - u(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-20)*(-172)\/301*(-21)\/3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 smaller than -469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4434393479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -6)\/3 + 2. Solve 0 = -m*a + 5*a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 370, 1531, 3480, 6217, 9742, 14055?\n\"Answer: 394*h**2 - 21*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 3*n**2 - 1. Let w = 4 - 2. Calculate the remainder when 4 is divided by r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.2, 18, -0.33?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -13*w + 8*w - 4*g, 0 = 4*w - 4*g + 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 0)\/(42\/98). Suppose 0 = 5*z + c + 113. Let w = 76 + z. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-62)\/24 - (2 + -5). Let v = 251\/60 + x. Find the common denominator of v and (-8)\/32 + (1 - 145\/4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 276 and 613502.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2844 or -2845?\nAnswer: -2845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 724626.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136916.\nAnswer: 2, 13, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*u - 116*l + 111*l, l = -4*u + 13. Suppose 0 = -w - 4 + 3. Which is the third smallest value? (a) -4 (b) w (c) u (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5188848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r + 16. What is n(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2699 = -1033*d + 633 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-4) + 3\/4. Suppose -27 = -5*s + 2*u, 3*u = -t - 0. What is the units digit of (-4)\/(-20) - (-19)\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 + 1524?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*s - 5*j + 19, -3 = -j. What is the least common multiple of 18 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212*107680\nAnswer: 22828160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 144.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 divided by -66469?\nAnswer: -675\/66469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oroooooroooo. Give prob of picking 2 r and 2 o.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9537462484 and 25.\nAnswer: -9537462459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31290430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -14106.5 rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4771675 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -498, -1003, -1506, -2007, -2506?\n\"Answer: u**2 - 508*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 1143.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 7:56 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 117514584 divided by 6528588\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.71 - -2.71. Let f = 20 + w. Suppose 0 = -u - u + 12. What is the closest to f in -3, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26762502 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-43)\/130*3 - -1. Let r = -494 - -494. Is r greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -8*h + 2. Let v(j) = j**3 + j**2 - j + 5. Give v(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 47*c = 2*x - 711, -10*c + 8*c = 8*x - 12*x + 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(7) + sqrt(7) + sqrt(7) + -1)*3 + sqrt(378)\/sqrt(6) + -2)**2 + -1)*-6.\nAnswer: -110772 + 9792*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23509 is divided by 1475?\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/17*((-551)\/19 - (-3392)\/128).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g + 1. Let y(a) = -1. Let z(m) = -b(m) - 4*y(m). Let p be z(-5). Let t = 48 - p. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0432 and -48261.\nAnswer: -48260.9568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-547)\/1641)\/((-5)\/9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292971.\nAnswer: 3, 7, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*d + 17 = 0, 5*q - 1 = 4*d - 2. What is the lowest common multiple of q and 199?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 50. Suppose f*h = -0*h - 15, -5 = -5*i + 2*h. Let v = 49 + i. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + l - 1387 = -1386, -5*j - 6*l - 40 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*j - 289*j = 5*z + 16, z + 23 = 2*j. Solve -j*p + 1448 = 1360 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -10 + 4 - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 25228*m**3 + 75690*m**2 - 75692*m + 25231.\nAnswer: -(m - 1)**3*(m + 25231)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/8*1 + (-18)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(4\/5)*d)\/(d*d**(2\/5)\/d*d))**(-7)*d**4*d\/d**4*(d\/(d*d**1*d))**(-36) assuming d is positive.\nAnswer: d**(281\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (0 + -2 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*q**3 + 8*q**3 - q**4 + 0*q**2 + 5 + q**2 in the form o*q + u*q**3 + r*q**2 + d + a*q**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -4*x**3 + 8*x**2\/5 + 166. Factor t(w).\nAnswer: -4*w*(15*w - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 2.2. Let x = 34.74 + 4.16. Let y = x - 39. Sort 3, i, y.\nAnswer: y, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*w - 3*o - 10, 0 = 3*w - 4*o - 35. Which is the closest to -0.1? (a) -2 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(6\/(-48)) + 5\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122811100 rounded to the nearest one hundred thousand?\nAnswer: 122800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 756\/1951 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 2. Let s be 367 - (-4 + (1 + 6 - 4)). Suppose -s*d - 60 = -374*d. Is d at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 788, 766, 730, 680, 616, 538?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 9*s**2 + 4. Let k be o(9). Suppose h - 3*h + 2*a + 4 = 0, -2*h - k = 2*a. Solve h = d + 2*d - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -9430069.\nAnswer: -8\/9430069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - b**3)*(-4*b + 4*b - 2*b**2) - 5*b**5 - 2*b**5 + 3*b**5 + (-2*b + 2*b + 3*b**3)*(b**2 + 0 + 0).\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:21 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 12*a**2 + 10*a + 3. Let v(c) = c**3 + 32*c**2 - 12*c - 374. Let b be v(-32). Give j(b).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.454 + -1.746. Let l = 2.8 - g. Which is the second smallest value? (a) -0.02 (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 1134\/(-63)*(-13)\/34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41723 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 234 divided by -36?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19829 - -20635. What is the highest common factor of 620 and t?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**4\/g))\/((g\/((g**7\/g)\/g))\/g) assuming g is positive.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/31219 and 53\/6.\nAnswer: 187314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/37 (b) 3 (c) -6\/5 (d) -3 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1864885 and 33080?\nAnswer: 14919080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2103 (base 5) to base 15.\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00663 - 0.49337. Let v be (-2)\/4 + 3\/2. Which is the smallest value? (a) p (b) v (c) 2\/13 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5034*m - 72 = 5046*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/29129 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 6*a + a. Suppose 2*k - 6*k = 3*t + 8, a = -4*k + 3*t + 16. Put k, -13, 0 in ascending order.\nAnswer: -13, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 9*x + 16)*(2 - 3 + 3) - 27*x - 6*x + 13*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**3 - 29*d**2 + 27*d + 10. Does 56 divide t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p\/p**(2\/19))\/p)*p**(-9) assuming p is positive.\nAnswer: p**(-150\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-63))\/((-2976)\/868))\/((-22)\/(-33))\nAnswer: -1\/72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/4*-1)\/((-1)\/12*6).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -42, -55, -74?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (6*sqrt(102)*-2 - sqrt(102)))\/((sqrt(6) - sqrt(6)*3)*5).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 13*b - 8*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4962096.\nAnswer: 2, 3, 17, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 399.0569km to millimeters.\nAnswer: 399056900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 34*v + 113. Let t be l(-4). Which is the nearest to t? (a) -5 (b) 3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2213, -6591, -13929, -24227, -37485, -53703, -72881?\nAnswer: -95019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*f*h**2*m + 2*f*h*m + 3*f*h*z + 2*f*m*z - 13*f*m - 3*h**2*z - 3*h*m*z wrt z?\nAnswer: 3*f*h + 2*f*m - 3*h**2 - 3*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*t = 7*l + 2, -3*t = 2*l - 22. Suppose 19 = h - 3*v, -h + l*h + v - 11 = 0. Solve 0 = -h*y - 0*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**3 - n**3 - 43*n + 43*n.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**4 - 208 + 208)*(t + 0 + 0).\nAnswer: 3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 190 + t + 227.\nAnswer: 2*t + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**4 + 4017*k**3 - 294445*k wrt k.\nAnswer: -24*k**2 + 24102*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273366280*v**3 + 136683968*v**3 + 136682313*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 33*b + 26. Calculate s(-18).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56.85 - 58. Let l = j - -0.64. Round l to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j + 2*j - 3*j. Let c(u) = -669*u + 669*u + 4*u**2. Give o(c(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 293516 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -8*x**2 - 3*x + 3*x**2 + 4*x**2 - 2. Let y(p) = p**2 + 5*p + 3. Let j(w) = 5*k(w) + 3*y(w). What is the first derivative of j(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-1)\/((-3)\/2)). Let r be -1 + 3\/9*15. Find the second derivative of n**r - n**4 + a*n**5 - 2*n wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -36.9628265.\nAnswer: -34.9628265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061780 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18309415+0.2\nAnswer: 18309415.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91613.14 meters to nanometers.\nAnswer: 91613140000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 275 and 139040.\nAnswer: 695200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose -3*o + 0*o + 9 = q. What is the third derivative of -4*t**4 - o*t**4 + 6*t**2 + 8*t**4 - 2*t**2 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43522570, -43522463, -43522176, -43521619, -43520702, -43519335, -43517428?\n\"Answer: 15*r**3 + 2*r - 43522587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3468085.56 - -3468087.305997957. Let j = -1.746 + n. Round j to 7 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*f + 22*f = -2*z + 8752, 0 = -3*z + 3*f + 13119. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -60994908 divided by -516906?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -13\/75*v**5 - 1\/525*v**7 - 11\/300*v**6 + 0*v - 3*v**2 + 0*v**3 - 4\/15*v**4 + 55. Factor q(n).\nAnswer: -2*n*(n + 1)*(n + 2)*(n + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, -2, -1330\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 598*x**2 - 3555*x + 25. Calculate l(6).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16958*g + 16963*g + l - 47 = 0, -4*g + 32 = -2*l for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11420 divided by 2.\nAnswer: -5710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 7*h**2 - 6*h**2)*(4 + 1 - 3) + (-2*h - h + h)*(3 - 3 - 2*h) + 4*h + 2*h**2 - 4*h - h**2 + 6*h**2 - 2*h**2.\nAnswer: -11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(43 + -2 + -4 + 3). What is the third derivative of 9 + 14 - 8 - r*n**3 + 2*n**2 + 2*n**2 + 10 wrt n?\nAnswer: -480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 288?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7959 (base 14) to base 4.\nAnswer: 11020323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejejjei. What is prob of picking 1 e, 1 i, and 1 j?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3\/5 - 1694*d**2\/5 - 8508*d\/5 - 10224\/5 = 0.\nAnswer: -3, -2, 852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -36*n**3 - 606*n - 511*n**2 - 329 + 2*n**5 + 123*n**2 + 18*n**4 + 59 = 0.\nAnswer: -9, -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/5 (b) 5 (c) -12.7 (d) -0.5 (e) -27 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*s + 6, 3 = -p + 3*s. Let c be (-3)\/(-1) - 1*p. What is the highest common factor of 15 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 47\/3 - (-14)\/(-21). Suppose -s + 71 = z. Calculate the greatest common divisor of s and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**3 + 4*d**2 - 7*d - 5. Let x be w(-4). Let o be (0 - x) + -3 + 5. Suppose 4*t - t - o = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-16 - (-13 - 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1072728 divided by 1268?\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -126126363440+0.5\nAnswer: -126126363439.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 5*b**2 + b. Let h be y(-5). Let l be ((-81)\/h)\/(14\/70). Let a = l + -55. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10409\/369 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 3 - (-1 - (-8 - (-1 + -4)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -45, 2, -272\/3, 0.3, -3?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.09 + -32.91. Let o = v + 33. Put -1, o, 3 in descending order.\nAnswer: 3, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2890*s + q + 0 - 8 = 2889*s, 5*s = 2*q + 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505, 1036, 1597, 2194, 2833, 3520, 4261?\nAnswer: 5062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 863651177 to the power of 1\/3, to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = -m - 11*i - 119 + 103, 17*i + 80 = -5*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2604, -2569, -2516, -2439, -2332, -2189?\n\"Answer: f**3 + 3*f**2 + 19*f - 2627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*h + 87*h - 333*h + 26*h - 3776 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*h**3 + 34 - 34.\nAnswer: 42*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 65*i + 266. What is the lowest common multiple of u(62) and 4?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/240 and -41\/2280.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 160?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 + 5*r**2 - 6*r**2)*(3*r**3 + 3*r**3 - 4*r**3) + 15*r**5 - 89*r**3 - 16*r**5 + 21*r**3.\nAnswer: 9*r**5 - 68*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14590293\/44 or 331598?\nAnswer: 331598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60.919 + 61. Let o = z + -0.043. Let p = -2.788 + o. Round p to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 207*u**3 - 198*u**2 + 3*u**4 - 418*u**3 + 24*u + 187*u**3 + 195 = 0?\nAnswer: -5, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*p = -158*p - 748. Let j = p + 197. Let g(h) = 2*h + 7. What is the remainder when g(5) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*c + 2*c + 15 = 0, 4*i + 15 = -c. Let w(v) = 161*v + 20. Let z be w(1). Let r = z + i. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 23*d**2 + 27*d + 161. What is the thousands digit of m(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 15*l**2 - 54*l + 30. Let q be t(-18). Solve -q*r = -27*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2232)\/22320)\/((-3)\/(-2)*(-2)\/(-6)). Let j = 31 - 20. Let k = j + -16. Which is the closest to 1\/3? (a) k (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 - (-34)\/51. Suppose -y + a*o + 3*o = -265, -o = -3. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3354, 3356, 3354, 3348, 3338?\nAnswer: 3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*t = -185*t + 366*t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*h - 2)*(-2*h**2 + 2*h**2 + h**2) + 29*h**3 - 376*h + 376*h - h**3 - 10 + 10 to j*h**3 + w*h + f*h**2 + i and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 161294 + 103972 = -52164. List the prime factors of o.\nAnswer: 3, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - -34. Does 26 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3070587011 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11953978 and 10217646.\nAnswer: 1828958634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19559289?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -455 and -0.3.\nAnswer: 136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177053110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -2*y - 16, -4*b + 36*y - 31*y + 36 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-75))\/(-1 + 10\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -756, -753, -750, -747, -744, -741?\n\"Answer: 3*d - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (910\/336 - (-15)\/(-18))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**4\/18 + 2*n**3\/9 - 9*n. Factor z(w).\nAnswer: 2*w*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.3 + 19.3. Which is the third biggest value? (a) 0 (b) 1.9 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.2 (c) 4 (d) -2\/5 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 30222?\nAnswer: -30222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 - 39 = 31*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -46. Let v(m) = -2*m**2 - 51*m + 27. Let l be v(-26). Calculate the smallest common multiple of 8 and n\/(l - 0) - 3.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -353 - -352.7. Let f = -0.01 - 2.99. Let w be 168\/(-105)*(-5)\/6. Which is the nearest to f? (a) x (b) 0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1821, -13, 0 in descending order.\nAnswer: 1821, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 6. Let f = 13 - 11. Let y = 0 - f. What is the closest to 0.1 in t, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 10 (b) -1\/2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.28 + 0.72. Let p(r) be the third derivative of -r**4\/12 - 5*r**3\/2 + 3*r**2. Let v be p(-10). Which is the closest to -2? (a) v (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Let x = b + -5. What is the closest to 2\/7 in 1, -3, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0 = 3. Let d be (-2 + 2)*(-1)\/2. Suppose 2*f - 4 = -d*f. Sort -5, x, f in decreasing order.\nAnswer: f, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 4)*(v + 9*v - 9*v) + (3 + 0 + 0)*(-8 + 8 - 4*v) + (3 + 3 - 5)*(-4*v - v + 3*v) - 5*v + 3*v + 3*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 6*z - 7*z + 2*z + z - 40. Calculate g(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2128360, -8513463, -19155304, -34053883, -53209200, -76621255?\n\"Answer: -2128369*i**2 + 4*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.03074871*-0.19\nAnswer: -0.0058422549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 442362 to the power of 1\/2, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073 + 52 = -124*d - 29 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 3*k - 1. Let o be h(1). Is o\/(-10) + 95641\/65 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -21*t**2. Let m = -118 - -241. Let i(k) = 59*k - m*k + 62*k. Determine x(i(o)).\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 272.1 + -271.6. What is the smallest value in -4\/5, v, 628?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 1}. Give prob of picking 2 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {d: 5, o: 1, b: 1, e: 9, g: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-18)\/(-4)*(-12)\/(-9). Let n(b) = -b**3 + 5*b**2 + 8*b - 4. Let c be n(p). What is the lowest common multiple of 2 and -2 + c\/(-1 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332036422.\nAnswer: 2, 166018211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62879 divided by -5.\nAnswer: 62879\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*q = 534*q + 49*q - 67670 for q.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -54860318.97 to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - -1. Let d(f) = 2*f - 24. Let x be d(m). Let v(z) = z**2 - 4*z + 4. Let k be v(3). What is the greatest common divisor of x and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5548 + 5544. What is the closest to 0.3 in o, -3, 2\/11, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -270*v + 22. Let k be m(-3). Suppose -5*d = -13 - k. Does 38 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 n when three letters picked without replacement from {n: 4, e: 5, o: 10}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 - 232. What is the nearest to f in 3\/5, 15, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7908\/11 + -714. Calculate the common denominator of 2241\/(-324) - 5*-1 and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*y - 4, -2*d + 3*y = 6*y - 8. Let l be d\/(-8)*-39 - (-21)\/(-14). Is l at most as big as 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 0 + 0*q**2 - 1\/6*q**4 + 59*q - 10\/3*q**3. Suppose w(p) = 0. What is p?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(-11)\/297)\/((-2)\/(-18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 129, -2, -1 in ascending order.\nAnswer: -2, -1, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 520\/4*(-30)\/(-300)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1526*f - 2403. What is the units digit of b(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y**3 - 2*y**2 - 13*y + 4. Calculate the remainder when a(6) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -10) + (9 - 16 - -1 - (2 + 4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (0 - -4) - -2. Suppose 5*r + 5 = -z, 2*r - 6 = i*z + 14. Solve h + 2*o = -r*o - 11, 4*h + 5*o = -32 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 220\/35 + ((-6)\/21)\/1. What is the first derivative of -37 + 7*s - 29*s - r*s - 20*s wrt s?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4959\nAnswer: 1\/1653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 1)**2 + (sqrt(56)\/sqrt(8)*5)**2.\nAnswer: 22*sqrt(7) + 1023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkwwkmykwzwmy. Give prob of picking 1 z and 2 m.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -942 times -0.02\nAnswer: 18.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-9))\/(44\/36 - 1). Suppose 8 - 282*p + 207*p + z*p**3 + 72*p**2 - 8 = 0. Calculate p.\nAnswer: -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - 5. Calculate d(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 10 = 5*t. Suppose 7 - 17 = -t*i. Solve a - i = 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232084 divided by -13652?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-20)*2)\/((-6)\/(-255))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 91*h**2\/4 - 1819*h\/8 - 5\/4 = 0?\nAnswer: -1\/182, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -76*d + 7. Calculate n(-2).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10230101014 (base 5) to base 11.\nAnswer: 60a661a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, v: 1, o: 4, e: 1}. What is prob of picking 1 f, 1 e, and 1 o?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 444*m - 20408. Calculate i(42).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.031 from -45.331023881.\nAnswer: -45.362023881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 261 + (-2 - 2 - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 67?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**2. Let t(d) = 2*d - 11. Let l be t(17). Let r(m) = 1 - 42*m + 19*m - 3*m**2 + l*m. Calculate x(r(z)).\nAnswer: 36*z**4 - 24*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3232 is divided by 1904.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 187 = k, -5*v + 4*k = 5*k + 947. Let g be v\/135 + (-8)\/5 + 1. Is 4 a factor of 220\/22 + (g - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**2 - 7*i + 8. What is the least common multiple of 10 and v(4)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*x = -61, -143 = 2*y - 5*y - x. Let h be (-17960)\/(-87)*y\/4. Let z = 2374 - h. Is z at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 5*l**2 - 7*l - 1. Let k be n(6). Let p be k\/21 - (-1)\/3. Which is the nearest to 0? (a) 5 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 594*r - 2 - 4*r**2 - 314*r.\nAnswer: r**2 - 908*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 22 = 4*s, s = -4*h + 3*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.63353mm to nanometers.\nAnswer: 31633530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 1:53 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*7\/(-35)*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 11 + 15)*(151*r**2 - 23*r**2 + 53*r**2)*(0*r**2 + 4*r**2 - 2*r**2).\nAnswer: 13032*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -113. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333714?\nAnswer: 2, 3, 55619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**3 - 25*z**2 - 55*z + 380. Calculate y(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67 - -2?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -92316*q**2 - 132691 wrt q?\nAnswer: -184632*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3 = 23. Suppose -4*v = -i*v + 4. Let z = 12 + v. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 928561495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 7 - 1 = 0. Suppose -m*s - s = -25. Solve s*f + 2 = 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/12)\/(-1)*10\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 5, v: 4, i: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b + 12. Is ((-236)\/(-6))\/(2\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1776, -3670, -5552, -7416, -9256, -11066?\n\"Answer: d**3 - 1901*d + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -693, -8 in descending order.\nAnswer: 4, -8, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 + 5)*(52*y**4 - 298*y + 298*y)*(3 - 4 + 2).\nAnswer: 624*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.649938 - 0.65. Round r to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + 3 + -3)*29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -2\/7, 9, -41\/10, 4?\nAnswer: -41\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/24*(-1)\/((-3)\/6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = z - 83, -51 = 3*z + 2*b - 289. Let k be z\/(-32)*6\/(-5). Solve -3*x + k*j + 24 = -0*j, 2*j - 14 = -4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9 + 12 + 1218\/(-363) and -111\/22.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**5\/5 - 194*j**4 - 7852*j**3\/5 - 17748*j**2\/5 - 54*j\/5 + 26622\/5 = 0.\nAnswer: -3, 1, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -14. Let s = c - -14. Suppose -s*g + 0*g + 8 = 0. Is 2 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*l = -34 - 43, 2*c + 3*l + 46 = 0. Let n = 22 + c. Solve n*k + 9 = 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, 76, 348, 724, 1210, 1812, 2536?\nAnswer: 3388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(15\/63) - (-5 + 2). Let f be (u\/10)\/((-385)\/(-100) + -4). What is the third derivative of -91*g**5 + 47*g**5 - f*g**2 + 20*g**6 + 44*g**5 wrt g?\nAnswer: 2400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*h + 79*h + 11*h + (-3 + 0 + 1)*(h + 1 - 1).\nAnswer: 106*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2 - (-4 - -2). Find the first derivative of 1 + 4*v**4 + 0*v**c - 3 wrt v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-14) + (1 - (-22208)\/28) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13 (b) -3 (c) 3\/22 (d) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(512) - (sqrt(512) + -2)*-4.\nAnswer: -8 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4120 + 2025?\nAnswer: 10145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 11.5. Let g = -1 - c. Let w = g - 0.78. What is w rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27 and -5438.\nAnswer: -5411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 7. Let d = o + -12. Is 4 a factor of (d + 1)*(-1 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1703*r + 20389 = -6859 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -523 + 419. Let u = t + 110. Solve u*q - 10 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 57 = -155. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95b85 (base 12) to base 5\nAnswer: 22300244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*q**3*u**3 + 9*q**3*u**2 - 3*q**3*u + q**2*u**2 - q*u**3 + 7*q + 6*u**3 wrt q?\nAnswer: -78*u**3 + 54*u**2 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -11, 19, 75, 163, 289?\n\"Answer: b**3 + 4*b**2 - 9*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -68, -175, -338, -563, -856, -1223, -1670?\n\"Answer: -u**3 - 19*u**2 + 7*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/5)*b*b)**28\/(b**9*b**3*b) assuming b is positive.\nAnswer: b**(299\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*x - 3*x**2 + 8*x + (-5*x - 11 + 11)*(6*x - 3*x - 2*x) - 300*x + 300*x + 199*x**2 to the form l*x + r + h*x**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4599*p - 4599*p + 138*p**2 + (3*p - p - 6*p)*(0*p + 2*p - p) + (p - 1 + 1)*(-3*p + 3*p - p).\nAnswer: 133*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*o = 49, d - 9*o + 8*o = 49. Suppose d*i - 33 = 60*i. Which is the closest to 2\/3? (a) -0.3 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Let t(q) = -3*q**2 + 26*q - 43. Let z be t(6). Suppose 3*d + n*s = -s, z*d + 3*s = 0. Solve -c - 2 = o - 3*o, -c - o - 5 = d for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 254407618 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045231774 rounded to four decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4477 divided by -407?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5458054643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (7*8 - (4 + 0)). Let b = -17 + h. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 11 = -z + 4*z, 0 = 4*z + l + 16. Is 1*z - (-26 + 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(15)*-1 + sqrt(15)) - 2*(sqrt(15) + sqrt(15)*-1))\/(5*sqrt(25)\/sqrt(5)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-5 + (-2)\/(2\/(-3))). Let j(m) = -m**2 - 4*m + 2. Determine j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 2. Suppose p - 3*p = -10. Let y = p - 2. Sort u, y, 5 in descending order.\nAnswer: 5, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffff. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8602439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -15. Let j = -158268199.09999963 - -158268185.1. Let a = c - j. What is a rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 + 48*c - 147. Let w(k) = -3*k**2 + 47*k - 147. Let v(a) = 5*d(a) - 6*w(a). Factor v(h).\nAnswer: 3*(h - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.85 - -22.35. Let g = r - 22. Let x = g + 0.1. What is the biggest value in 1, x, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 16*c**3 - c**2 - 3*c + 2. Let p be a(2). Suppose -4*m + p = m. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = 4*a - 5*j, 304*j + 204 = 4*a + 305*j. Calculate the highest common divisor of 357 and a.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 + 2206028*y - 608319942098.\nAnswer: -2*(y - 551507)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {i: 1, w: 2, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**6\/450 + z**5\/150 + z**3\/6 - z**2. Let x(v) be the first derivative of r(v). Factor x(i).\nAnswer: -4*i*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2248 + 2220 - (7 - ((-2 - -2) + (3 - 4))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - 4\/(-22) - -4. Sort -5\/6, n, 4 in increasing order.\nAnswer: -5\/6, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (1 + -3)\/2. Suppose -5*a - 4*z + 25 = 0, -h*a + 3*z = z - 20. Suppose 3*c = -2*g + 365, -a*c + 608 = 3*g - 0*g. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Let w(d) = -29*d**3 + 2*d**2 + 5*d + 4. Calculate the smallest common multiple of -7 + j - -1*13 and w(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (141\/94)\/(18\/620*320\/(-192))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -227671 divided by 117\nAnswer: -227671\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p - 33 = -8*p - 495 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 551 - 551.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1986, -2136, -2380, -2712, -3126?\nAnswer: -3616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 + 23*q + 12. Let w be o(10). Is -358 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6539, -6858, -7389, -8132, -9087, -10254, -11633?\nAnswer: -13224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/4*28\/2*(-420)\/1050.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/29)*u\/u**(18\/11)*u**(-34\/7)*(u**(-8\/5)*u*u)\/u assuming u is positive.\nAnswer: u**(-68804\/11165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -369*p**6\/20 - 9*p**5\/10 - p**4\/8 + p**3\/2 - 8*p**2 - 2*p + 6. What is the third derivative of l(i) wrt i?\nAnswer: -13284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 7*h + 5. Let l(x) = -x**2 - x + 1. Calculate k(w) - 5*l(w).\nAnswer: 3*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u = 4*p + 234, -3*u - 1296*p = -2607*p + 1315*p + 39 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-70)\/(-8 + -2). Suppose -2*b = -2*w + 6*w + 24, -2*b - 15 = -5*w. Let l = b - -5. Are l and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 263\/6 - 44. Let d = 2.4 - 2.1. Put d, i, 5\/2 in descending order.\nAnswer: 5\/2, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 502908*o**2*z**3 - 16311966*o**2 + 4*o*z**3 wrt z.\nAnswer: 1508724*o**2*z**2 + 12*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 3 - 3957*n**3 + 3955*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 8501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -79.6?\nAnswer: 87.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.62 + -2667.\nAnswer: -2656.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58065 and 13035.\nAnswer: 638715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-2)\/(5 + -3). Solve 1 = f - 0*f, -f + i = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 9*x - 6. Let q be w(5). Suppose 4*f = f - 3*s + 21, -f = -s + 3. Suppose -6*a = -f*a - 616. Calculate the greatest common factor of q and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58708142789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -517273 (base 8) to base 11.\nAnswer: -108008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 367, -8\/19, -12?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4 + 10 = 15*y - 9*y, 0 = 3*c + 4*y + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 17935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-460) - (18\/80 - 0))*(39 + 7)\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = 4*f - 10, -3*f + m = -1. Let u(p) = 5*p**3 - 5*p**2 - 3*p - 4*p**3 + 5 - f*p**3. What is the units digit of u(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3)*s)**(-19)\/(s**(-6)\/(s**(3\/4)*s)) assuming s is positive.\nAnswer: s**(107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4 + 588*s**3 + 35130*s**2 + 133528*s + 131208 = 0. What is s?\nAnswer: -213, -77, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 10*r - 14. Let v be x(-8). What is the third derivative of 10*i**3 - v*i**3 - i**3 + 8*i**2 - 3*i**3 wrt i?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-28))\/((-1825)\/584).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424208246?\nAnswer: 2, 7, 11, 2754599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3755 is divided by 239?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18\/18*((-4)\/(-30))\/(6\/5)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -20. What is the lowest common multiple of (473\/(-44) + 10)*-12 and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-23 + 20 + 2 + 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 325 = -3*o, -22 - 271 = -3*o + 4*d. Let p = 100 - o. List the prime factors of (3\/(9\/411))\/((-3)\/p).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 5*i**2 - 4*i + 1. Let k be l(3). Let v = 8 - k. What is the nearest to 0.2 in v, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 29*16000620\nAnswer: 464017980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.83, -27, 2, 1\/4 in increasing order.\nAnswer: -27, 1\/4, 1.83, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28, 137, 296, 455, 620, 797, 992?\n\"Answer: a**3 - 9*a**2 + 185*a - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - 20 + 24*i + 16)*(-7*i + 0*i - 7*i - 2*i) in the form l + z*i**2 + n*i and give z.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 1, g: 1, y: 1, k: 1}. What is prob of picking 1 y, 1 r, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*x**4 - 24*x**3 + 4*x**2.\nAnswer: 4*x**2*(x - 1)*(5*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 + 15*q**2 + 14*q + 5*q**2 - 21*q**2 - 5 to the form n*q**2 + f + l*q + k*q**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 2:53 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 14) to base 10.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 6*y**2 - 3*y**2 - 2*y**2 - 5*y**2. Let z(r) = -431*r**2. What is z(w(a))?\nAnswer: -431*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 60 = 7*g. What is the greatest common divisor of 96 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7 - 5120\/(-735)). Which is greater: r or -59?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of ((-18)\/4)\/(5\/(-6345)) + 6\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4)*4*6\/(-18). Let p be 1 + k - (12 - 12). Let g be (1 + (-1 - p\/2))*-4. Let a(w) = 9*w. Give a(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19249594993950 + -1.3.\nAnswer: -19249594993951.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.64 + 0.06. Let n = -2 + c. Let q = 0.629 + -0.229. Sort n, q, 1\/7.\nAnswer: n, 1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 80?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(52) + sqrt(1300)*-2 + 5*(sqrt(117) + 2))**2.\nAnswer: -72*sqrt(13) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 (base 15) in base 8?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - 24 = 12*j + 2*n, -5*j - 3*n + 14 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 220 + -154. Calculate the lowest common multiple of z and 102.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**5\/20 + 3*t**4\/4 + t**3\/6 + 33*t**2\/2 + 697*t + 2. Calculate a(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17\/90 and -220 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 350*o - 1558. Calculate f(5).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4926 divided by -17?\nAnswer: -4926\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 - -64444?\nAnswer: 64417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(570) - (sqrt(570) + 1*-1*sqrt(570)))\/(3*(sqrt(40)\/sqrt(4) + sqrt(10) - sqrt(10)) + sqrt(10)))\/(-2*(sqrt(192) - sqrt(192)*-2*1)).\nAnswer: -sqrt(19)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 2 - 2*b**2 - 3 + b - 2 as f + h*b**2 + g*b and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 11:00 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 132*j = -130*j + 63418, 4*m = -3*j + 50716. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-23 + 4 + -2). Let i = 20 - l. Suppose -4*s + 5*b + 14 = 0, -2*s - 3 = s + 3*b. What is the remainder when i is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77)*-4)\/(-1*sqrt(704) - sqrt(11)).\nAnswer: -4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h**(-7\/3)\/h*h)**(-4))**(3\/22))**(2\/21))**(9\/10) assuming h is positive.\nAnswer: h**(6\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1358*i + 56. Let u(w) = 679*w + 24. What is 3*s(p) - 7*u(p)?\nAnswer: -679*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739 + 5046 = 314*r + 494*r - 1349 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a micrometer in nanometers?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -173201 (base 8) to base 6\nAnswer: -1204053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -5424627916277.\nAnswer: -5424627916276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqfkkqoqq. What is prob of sequence ooq?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 2*r**4 + 3*r**4 - 5*r**4 + 1 - 2*r**4 in the form p*r**2 + x*r**4 + h*r**3 + i + y*r and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1584341 and 9119.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -516667*a**5\/20 - a**4\/12 + 8*a**2. Let h be u(-2). Round h to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3647? (a) 9 (b) -2 (c) -0.287\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*k**5 - 6139*k**3 + 4*k - 8036 wrt k?\nAnswer: -120*k**3 - 36834*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -852, -3419, -7698, -13689?\n\"Answer: -856*r**2 + r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**7\/7 - g**4\/6 - g. What is the third derivative of r(q) wrt q?\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4304341, -4304343, -4304345?\n\"Answer: -2*k - 4304339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 262 + 5 = -345 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let y(p) be the second derivative of 5*p**3\/6 - 2*p. Determine y(t(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7 - 21 = 0. Calculate the highest common divisor of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**3 + 30*b**2 - 40*b + 15. Let i(x) = x**3 - 6*x**2 + 8*x - 3. Let u(z) = -2*f(z) - 11*i(z). Is u(3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j + 14*j + 11*j - 36*j. Let n(y) be the second derivative of y**3\/3 + y**2\/2 + 19*y + 10. Determine 2*c(a) + n(a).\nAnswer: 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.2 - 1269.\nAnswer: -1246.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -246*t**3 + 5*t**2 + 1557.\nAnswer: -738*t**2 + 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 7*s = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 226\/3*o**2 + 676\/9*o + 2\/9*o**3 + 0 = 0?\nAnswer: -338, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5\/5 + 258*a**4\/5 - 198*a**3 + 96*a**2 + 993*a\/5 - 738\/5 = 0. Calculate a.\nAnswer: -1, 1, 3, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by -3 + 3 - 58\/(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 61, 55, 63, 91, 145?\n\"Answer: b**3 + b**2 - 16*b + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-10)\/(12 + 8))\/(2\/(-2376)) is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 10.33.\nAnswer: 11.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 0)*(m + 0*m - 2*m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 9:23 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 4472090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4\/5, 0.1, 14 in ascending order.\nAnswer: -3, -4\/5, 0.1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*j - 0. Find the second derivative of -g + j*g + 5*g**2 - 2*g**2 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -100*c - 11. Let v(p) = -p - 2. Determine 2*t(r) - 10*v(r).\nAnswer: -190*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27225019?\nAnswer: 59, 461441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 (base 8) in base 14?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 4*t, -3*t = 5*g + t - 3. Suppose d - 2 = 0, 2*x + 0*d - g*d = -6. Solve 5*v = 3*r + 19 - 2, -v + 4 = x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 5*b**2 + 9*b + 12. Let c be p(-6). Let m(l) = 4*l**2 - 3*l - 3. Let v(s) = 3*s**2 - 3*s - 2. Give c*v(d) + 5*m(d).\nAnswer: 2*d**2 + 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*j - 917 = -110, -4*b - j = -805. Suppose 4*w + 185 = b. Put -3, w, 16 in increasing order.\nAnswer: -3, w, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -1. Let z(x) = -5*x - 8*x**2 + 14*x**2 + k + 3 - 2*x**3 + x**3. What is the units digit of z(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79417.1 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 15296624000 to the nearest 1000000.\nAnswer: 15297000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1921548*v - 1921548*v - 462*v**2 + 2)*(-4*v + 6*v + 3*v).\nAnswer: -2310*v**3 + 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -355?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 923029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/2833 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5565 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*j)*(3*j**2 + j**2 - 5*j**2)*(44*j**2 + 37*j**2 - 60*j**2).\nAnswer: -42*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -216*q + 309*q + 524*q - 4319 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 16. Let h be v(-9). Suppose -h*n = -n. Suppose n = -3*c - 4*c + 518. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10483*u**6 + u**3 + 11*u**2 - u + 19 wrt u?\nAnswer: 1257960*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1930912 - 13?\nAnswer: 1930899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 + j**2 + 3*j - 4. Let n(t) = -t + 1. Let d(y) = 5*n(y) + q(y). What is the smallest common multiple of d(1) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c43 + 1a?\nAnswer: c5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -76 and 506.853?\nAnswer: 582.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -58*s**2 + 821*s - 862. Give y(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -292261, -584524, -876787, -1169050, -1461313?\n\"Answer: -292263*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27108 and 6561?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -9. Let k = 2616\/7 + -7841\/21. Which is the second biggest value? (a) z (b) 28 (c) k (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -247, -250, -253, -256?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u = -35*u + 272. Solve 4*a - u = -24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - 4*w + 4*w + (-5*w + 5*w + 2*w)*(2*w**2 + 4*w - 4*w) + (39188 + 34*w - 39188)*(w**2 + 0*w**2 - 2*w**2).\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/17884 and -133\/340?\nAnswer: 89420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15728*l**3 - 16574*l wrt l?\nAnswer: 94368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l**3 + 145*l**3 - 43*l**3 - 48*l**3 - 35*l**3.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3228, -6449, -9654, -12837, -15992?\n\"Answer: s**3 + 2*s**2 - 3234*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m + 2. Is x(7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7*f = 6*f - 119, 5*o + 6*f = 161. Suppose 5*y + 20 = 0, -4*x - x = 4*y - 24. Let l = x - 6. Solve -l*s - 3*s = o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3076838519 to the power of 1\/3, to the nearest integer?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = 10. Suppose -q*r = -4*m - 0*r - 58, 0 = m - r + 14. Let l = m - -26. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -97*y**2\/3 + 2510*y\/3 + 104.\nAnswer: -(y - 26)*(97*y + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*v**3 + 10*v**3 + 13*v**3 + v**3 - 2*v + 2*v + (-2*v**2 + 4*v**2 - 3*v**2)*(-2*v - v + v) - 2*v**3 + 3*v - 3*v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*q - 5, -1 + 17 = b - 3*q. Let p = 2.86 + 0.14. Let y = -110.9 - -111. What is the nearest to b in y, p, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v - 196. Let z be s(36). Let t be 32\/z + ((-9)\/(-21) - -2). Let a(g) = g**3 - 4*g**2 + 3*g + 3. Calculate a(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -120 + 244?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 8. Let c be a(0). Let f = 0 + -3. Let q = c + f. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-21)*6 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025635212 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 113759.04 to the nearest one thousand.\nAnswer: 114000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssnooooonsoooss. Give prob of picking 1 s and 1 o.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4136 + -4132. Calculate the remainder when 34 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from mqqmqqqqq.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6 + 1\/6*t**2 - 1\/3*t.\nAnswer: (t - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541045914 to the power of 1\/2, to the nearest integer?\nAnswer: 23260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50.3795 or 9?\nAnswer: 50.3795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 - 4 - (-129 - -102)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - v**2 + 2*v + 8. What is the remainder when 47 is divided by d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**9*y*y\/y**(2\/7)*y)\/(y**2*y**(5\/6)) assuming y is positive.\nAnswer: y**(373\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*((sqrt(76) - (sqrt(76) + 1))*-4*6 - (-5 + sqrt(76)*-1 - sqrt(76))*4))**2.\nAnswer: 12672*sqrt(19) + 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -149 + 242. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -2\/3, 0.4, 20?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 575368 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645*f - 725*f = 686*f - 2214*f + 2054 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.141 + -46.501. Let v = -46 - n. Let b = 0.817 + v. What is b rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -212841 - -408284. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 31. Let z = -3.5 - -3. Is z equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - x**4 + 3*x**4)*(-4*x + x + x) + (-x**2 - x**4 + x**2)*(-5 + 2*x + 5).\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*t - 693, 3*t - 414 = 3*c - 0*t. Calculate the common denominator of -40\/9 and -3 - (2 + c\/30).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.713315 hours?\nAnswer: 2567934000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9 - (0 + (-3)\/(-3)). Let q be 4\/w*-5 - 0. What is the second derivative of 3*i - 7*i - i - q*i - 8*i**4 wrt i?\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/207 and (-1)\/(78\/8 - 9).\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -6eb1b?\nAnswer: 6eb19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26444 (base 8) in base 12?\nAnswer: 6830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -4. Let w = 1 - o. Let v = 8 - w. Which is the nearest to -0.1? (a) -3 (b) v (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -352, -1333, -2928, -5131, -7936, -11337?\n\"Answer: l**3 - 313*l**2 - 49*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 34 = 4*f, 5*f - 10 = 33*z - 36*z. Solve 60 = -5*q - z*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263137929?\nAnswer: 89, 521, 27241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6612 or -6613?\nAnswer: -6613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-36))\/((-1)\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 113360151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -42. Suppose k = 4*d + d - b - 90, -4*b - 18 = -2*d. Find the third derivative of d*u**2 - 13*u**5 + 24*u**5 - 11*u**5 - 10*u**6 wrt u.\nAnswer: -1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1692464.\nAnswer: -3384928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + -3 + (-2 + sqrt(2448) + -1 + sqrt(2448) - (sqrt(2448) - 3*1*sqrt(2448)))))**2 + 3.\nAnswer: -4224*sqrt(17) + 157159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 8 = 0, 148*h = 5*n + 147*h + 34 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 13 + 11 = 8*p, -5*p = 3*f - 15. Solve -30*b + 28*b - 4 = f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 91, 195, 341, 529, 759, 1031?\n\"Answer: 21*o**2 - o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 17*k + 44. Let t be r(19). Suppose 0 = 2*i - 4*i + t. Suppose -5*o + v = -199, -i*o + v + 2*v + 129 = 0. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = z + v, 3*v = 3*z - 15. Solve z*w = -4*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -0.5, -31?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 0*r**2 + 0*r**5 + 29*r - 2\/3*r**7 - 9\/2*r**3 + 0*r**4 + 0*r**6 + 0. Find the second derivative of j(h) wrt h.\nAnswer: -560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*l*y**2 - 159*j**2*y - 3*j*l*y**2 - 2*l*y**2 - 13*l + 4*y wrt j?\nAnswer: 4*l*y**2 - 318*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1879 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 6 = 0, -4*a + 1 = 2*t + 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*p - 10. Suppose 0 = k - i - 14, p*k - 2*k = 4*i + 44. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600176 is divided by 754.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 82*n.\nAnswer: 82*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.5755 + 13.\nAnswer: -5.5755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299678558.\nAnswer: 2, 173, 866123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33661, 33686, 33749, 33868, 34061, 34346, 34741, 35264?\nAnswer: 35933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 456704 and 198916.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 24\nAnswer: 13\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -170050*c**2 + c. Let r be u(-1). Let x be r\/(-96040) + (-9)\/(-15). Let h = 3\/686 + x. Which is smaller: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, z: 2, h: 2, j: 1, g: 6}. Give prob of sequence gzg.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 7519004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 114 = -108. Suppose 7*f = -m*f + 180. Calculate the greatest common divisor of f and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 2*o**2. Let s(w) be the third derivative of -w**6\/30 - w**5\/30 + 22*w**2. What is -5*c(n) + 4*s(n)?\nAnswer: -n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 - 3*p**2 + 7 + (-3*p**2 + 4*p**2 - 2*p**2)*(40 - 24 + 35).\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/2 - (8 + -11). Suppose 242 = 5*n - 13. Calculate the greatest common factor of n and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*q - 71*q - q + 20*q + 11*q + 8*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05099 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (32 + -13)) + 7*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*g = -7*g - 8, 4*y - 2*g - 16 = 0. Suppose -2 = k - 4. Suppose 4*j + 0*m - 3 = -3*m, -3 = -5*j - 4*m. Solve j*o - y = k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -0*i - 4*m - 44, 5*m + 6 = 2*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*a - 10. Let o(h) = -2*h**2 - h + 2 - 2*h**2 + 2*h**a. Give o(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*-4*-6)**2.\nAnswer: 348480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -285, -286?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 12) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*o**2 + 2966*o - 12575.\nAnswer: 28*o + 2966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmm when three letters picked without replacement from {l: 5, m: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -74, 4 in decreasing order.\nAnswer: 51, 4, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.65 + 0.35. What is the closest to -1\/3 in 3, -2\/9, 0.4, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.51 - -1.6. Let g = -4 + 3.97. Let k = n - g. Round k to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 29*b - 45. Let q(x) = -140*x + 223. Let s(n) = 29*h(n) + 6*q(n). Determine s(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 6*t = -t - 260, 113 = -2*a - t. Which is bigger: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - -6*(sqrt(19) + 1 + sqrt(19))) + -1 - sqrt(114)\/(5*sqrt(6)*-2).\nAnswer: 5 + 131*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 996*j - 649390. Determine q(652).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 445 = -908 + 438 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a - 2*h - 6 = -26*a, -h - 17 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 19. Let w be g(-6). What is the tens digit of (18*1)\/(((-117)\/(-30))\/w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*((-216)\/160)\/9)\/((-6)\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106 - 97 - ((5 - -2) + (2 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1477 (base 8) to base 10.\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1811713629 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 174738 divided by -3\nAnswer: -58246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 604896 and 66.\nAnswer: 6653856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 + 7*k. What is the remainder when v(-3) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 65 + -21 + -32 + (-12 - -2). Let k(r) be the first derivative of 3\/2*r**2 - 1 - r. Determine k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 58.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29001918 and 1.5.\nAnswer: 29001919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnnr when four letters picked without replacement from {r: 5, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-16))\/((-3)\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -604 - -622. What is the least common multiple of w and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 287076498388610 - -4.\nAnswer: 287076498388614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 2*k - 24, -k - 2 - 4 = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 60747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-6) - (-7)\/(-21). Let o be -7*(-2 + (-6)\/(-21)). Let a be (-6)\/(-4)*o\/18. Is f at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37837488?\nAnswer: 2, 3, 13, 60637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1900) - (3 + sqrt(1900) + -4))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c + 185. Let o be y(18). Let f = -8 - -5. Let w be (1\/f)\/((-2)\/12). Solve 0 = -5*i - o - w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 3*c = 4*j + 16, -j - 4 = 3*c. Suppose -5*o = 0, -j*m + 32 - 2 = -o. What is the highest common factor of 10 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + 2.05. Let y = w - 1.6. Let o = 2.4 - y. Sort o, -4, -0.2 in descending order.\nAnswer: o, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p + 8. Let h be l(6). Suppose -8*j = -42 + 10. Suppose 0 = t + h - j. Calculate the lowest common multiple of 5 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900177679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (192\/56)\/(-18 + 10 + (-872)\/(-112))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 4*w**3\/3 - 4*w**2 - 2*w. Let z = -5 + 7. Suppose -5*m - 90 = -0*m. Let h(n) = n - 1. Give m*h(b) + z*s(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(144)*1)\/sqrt(4))\/(sqrt(72)\/(-2*sqrt(6))*1).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12190200*z**2 - 30778980*z wrt z?\nAnswer: -24380400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 59 = 3*a + 8, -102 = 5*a + 3*d. What is the common denominator of 33*(a\/162)\/(-7) and 149\/30 + (-2)\/(-3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 4, 5861, 40, 5 in ascending order.\nAnswer: 0, 1, 4, 5, 40, 5861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16778 (base 11) to base 9\nAnswer: -35276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128076 plus -1514?\nAnswer: 126562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95*k**2*s**3 + 116*s**3 + 2*s**2 wrt k.\nAnswer: -190*k*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -559063?\nAnswer: -22\/559063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 705*p - 2098. Let s be n(3). Solve s*x = 2 + 49 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175990 and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*n - 72 = -0*z, 4*z - 84 = -5*n. Calculate the remainder when z is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 6*u - 6. Let q be d(-7). Suppose -20 + 5 = -3*m. Suppose -m*f + 15 = -0*f. Solve f*y + 4 = -g, -g + 3 + q = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1397 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1507 = 1407. What is the greatest common divisor of v and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -141, 22, 5, -2, -3 in descending order.\nAnswer: 22, 5, -2, -3, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81720, 81725, 81732, 81741?\nAnswer: 81752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 235473849 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 6 - 3. Let r(m) = -2*m**2 + 79*m + 11940. Let c be r(-60). What is the second smallest value in c, -0.4, 2\/3, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/10 + 1163*x**2\/10 - 12052*x = 0. Calculate x.\nAnswer: 0, 115, 1048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1131 and 5811143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289515 is divided by 4077.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkmmbkbgmms. Give prob of sequence mgm.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -917*h + 500. Is x(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2*p**(-3))**14*((p*p**(1\/2)\/p*p)**(4\/11))**5 assuming p is positive.\nAnswer: p**(-124\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 983416393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435.2 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n + 296. Let c be g(-50). Put 4, c, -10, -18, 3 in ascending order.\nAnswer: -18, -10, c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10840132.\nAnswer: 2, 83, 103, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1721, 3484, 5305, 7196, 9169, 11236, 13409?\n\"Answer: 2*p**3 + 17*p**2 + 1698*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -6, -1, 2, -3, -68.\nAnswer: -68, -6, -3, -1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*s**2)*(-s**2 - 6*s**2 + 0*s**2).\nAnswer: 21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.2 - -52.1. Is 1052 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-8)*12\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (8 + -6)) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 + 29*w + 11 + 11 + (-1 + 3 - 1)*(w - 2 - 3 + 4).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n + 913 - 893. Let r(v) = -v**3 - 12*v**2 + 5*v + 4. Let f(q) = -5*q**3 - 50*q**2 + 19*q + 16. Let w(t) = n*f(t) - 9*r(t). Calculate w(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(5*(-1 + sqrt(343)) - (-1*sqrt(343) + sqrt(343))*6 - 1*-2*sqrt(343)*-2))**2.\nAnswer: -630*sqrt(7) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.8 + 8. Let i be -3*(16\/18 - 1). What is the closest to -2\/5 in i, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0207176 and -22?\nAnswer: 22.0207176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f**2. Let j(l) = 1152*l**2. Determine j(k(n)).\nAnswer: 18432*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-seven quarters of a microgram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**2 + 9 - 4 + 7 + 20*h + 3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 205*r - 10431. What is l(111)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162850 - -497850. Round a to the nearest 10000.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 24743609.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 44073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*o + 143 - 140 = -3*l, -5 = 5*l + 2*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 625 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 12.1961 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*c**3 - 2*c**4 + 112*c**3 - 167*c**2 - 60*c**3 in the form f*c**4 + r + p*c**3 + j*c**2 + s*c and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 4*u**2 + 7*u - 9. Let f be v(3). Sort f, -4, 18 in ascending order.\nAnswer: -4, f, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -19*x - 27. Let k be w(-5). Let o = k + -66. What is the units digit of (-1 - -128)\/1 - o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14 - 44 = -4*a, 0 = 2*v + 3*a - 25. Let z be v*(-2)\/(-20)*8. Factor z*y + 2*y + y**2 - 3*y - y.\nAnswer: y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 9 + (0 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppnnpnnnjjnnnnjnpnnn. What is prob of sequence nj?\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 19. Suppose 5*c - 424 = 2*l, d*l = 5*c + 4*l - 433. Suppose 2*z + 4*j + c = 5*z, -3*j = 4*z - 123. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than 26231\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 divided by -33?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 5, c: 3, p: 1, l: 5, i: 1}. Give prob of sequence lpid.\nAnswer: 5\/14688","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 46. Suppose 3*b - f = 5*b - 2, -3*b + g*f = -12. List the prime factors of (8 + b)*5\/(75\/132).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**2 - 103*z + 36. Give o(20).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -1)**2 + sqrt(7) + sqrt(315)\/sqrt(5) - ((sqrt(630)*2 - sqrt(630))\/sqrt(10))\/(sqrt(441) - (1*sqrt(441) + sqrt(441))).\nAnswer: -97*sqrt(7)\/7 + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-41)*x*x**(1\/3)*x*(x\/(x\/x**(-1\/6)*x))\/x*x*(x\/(x*x**(-6\/13)))\/x)**(-34) assuming x is positive.\nAnswer: x**(53533\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*v - h, 3*h - 30 = 5*v + 19. Let j = 3 + -7. Let q = j - v. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 186\/12)*22. Suppose -5*s + 5*l + c = 0, -5*s - 2*l + 174 = -80. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 21*b + 19\/2*b**2 + 0 + 10\/3*b**3. Find the first derivative of p(h) wrt h.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 620 and 1096470.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6958*p + 1242 = 6912*p for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3*t**2 + 139*n**3 - 1908*t**2 wrt n.\nAnswer: -6*n**2*t**2 + 417*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 8 + (26 - 15 - 16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Suppose 2*q + 8 = j*q. Find the second derivative of 2*v**4 - 4*v**q + v**4 + v wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387460241 a multiple of 2856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 52.001 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 16) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.0374328?\nAnswer: 0.1497312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2668320 a multiple of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i - 1. Let o be ((-18)\/4)\/(3\/(-6)). Let w be (-18)\/(-63) - o\/7. Give j(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -7*u**6\/30 + 5*u**5\/4 - 65*u**4\/6 - 283*u. Find the third derivative of i(p) wrt p.\nAnswer: -168*p + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 5\/12*a**3 - 1\/8*a**5 + 5\/8*a**2 + 5 + 0*a**4 - 1\/24*a**6 - 5*a. Factor x(k).\nAnswer: -5*(k - 1)*(k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2736) - (sqrt(2736) - (-1 + sqrt(2736) + sqrt(2736) + 1))**2) + -4.\nAnswer: -2738 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -31*j + 2, -2128*a + 2133*a - 2*j + 53 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -327 by -109.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - q - 11 + 9 = 0, q = -2*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-2 + -3)*(-3)\/(-3). Put -3, -22, 4, k in decreasing order.\nAnswer: 4, k, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5*x + 15. Let z be u(0). Is 38035\/z*(35\/5 + -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -47*o**6\/5 + 49*o**4\/4 - 222*o - 1. Find the third derivative of f(s) wrt s.\nAnswer: -6768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -7*h**5 - 3*h**4 - 3*h**2 - 3. Let v(z) = 15*z**5 + 5*z**4 + 5*z**2 - z + 5. Let g(j) = -5*l(j) - 3*v(j). Find the second derivative of g(u) wrt u.\nAnswer: -200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13409696*l**2 + 4 + 13409460*l**2 - 4.\nAnswer: -236*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -43, -27, 1, 5 in descending order.\nAnswer: 5, 4, 1, -27, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(63)\/(-1*sqrt(9)) + sqrt(28)\/sqrt(4)*5 + (sqrt(7) - 3*sqrt(175)))**2.\nAnswer: -100*sqrt(7) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446369, 892544, 1338719?\nAnswer: 1784894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104033302 + -4?\nAnswer: 104033265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 211651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k. Let w be (1 - 0)*1*k. Solve 4 + w = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 21*s - 34. Give v(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 299908*b. Let u(y) = -y**2. What is u(z(n))?\nAnswer: -89944808464*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.37316 and 0.4.\nAnswer: -2.549264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**4\/4 - l**2 + 5*l + 1. Let c(v) = -1. Let o be ((-12)\/21)\/(60\/210). Give o*u(y) - 10*c(y).\nAnswer: 2*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k - 6 = 4*c - 48*k, -3*k = -4*c + 9. Solve c = -2*h - 4 - 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmr when three letters picked without replacement from mmeranmrsmmrrmran?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*6\/10 + 2077*(-165)\/(-8525).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*i**3 - 39*i**4 + 2*i**2 - 4*i**2 - 13*i**3 to the form y*i**3 + w*i**2 + x*i**4 + k*i + a and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42.14 + 46.14. What is the closest to 1\/3 in 0.01, h, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*v - 39*v - 48*w + 735, -2*w = -3*v - 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -11. Does 7 divide (3 + (-66)\/15)*a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17303643 rounded to three decimal places?\nAnswer: -0.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (807\/2)\/(264\/(-32) - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (-63 - -70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*r - 3*r. Let a(q) = -q - 21. Let o be a(-12). Calculate the smallest common multiple of 10 and (-30)\/o*(r + 6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 8635, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1026\/72)\/(-19)*448\/189*-3.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*v = 13, -1 = -s + 2*s - 2*v. Let c(q) = 24*q**2 - 27*q + 7*q**2 + 16 - 27 - q**s. Let a be c(23). Round a to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (3 + -3 + -24). Let s be (-1 - l\/(-9))\/1. What is the second biggest value in -4, -5\/2, s?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = 2*o, -o + 3*x = -0*x. Solve 2*w - 2*n + 4 = 0, o = -0*n + 5*n - 20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2731024874.1999995 + -2730984380.8. Let g = -40493.7 + m. Let f = -0.3 - g. Round f to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11880 = 11*i + 34*i + 6930. Which is greater: i or -412?\nAnswer: -412","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a factor of 36841512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68962863*c**4 + 46020319 wrt c.\nAnswer: -275851452*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -2, -0.004?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * 1.7.\nAnswer: -52.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 52*d - 51*d. Let b = -3 - d. Sort 0, -9, b in decreasing order.\nAnswer: b, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 5835.\nAnswer: -7\/5835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144286 - 101003. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(60\/144)*(-490)\/84?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38 - (-2 - -2))*-4. Suppose 5*t = q + 3*q + 193, -2*q = -4*t + o. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 18. Let p be j(-6). Suppose 2*a + 2*c = -a + 2, p = -4*a + 2*c + 12. What is the smallest common multiple of a and 89?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6244 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naiaa. Give prob of picking 1 a and 1 i.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 10\/(-6))*-3. Does 6 divide n*(-9)\/2*(5 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 - 12*z**2 - 11*z + 27 - 7*z + 7*z**2 to the form h*z**2 + a*z + x and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:29 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30276520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12, 2, -8, -18?\n\"Answer: -10*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5253 + -4806. What is the remainder when k is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.461 - -137\nAnswer: 137.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -38, 5, 0.5?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-576)\/1632*(-3)\/18?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - -5?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**3 - 2*z**2 + 1. Let x = -15 - -14. Let l be n(x). Solve 3*v = 3*q, 2*q - l*q - 3*v = -35 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 346733840 - 346733910.0000076. Let o = -70 - b. What is o rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 19*k**2 + 20*k - 1. Let f be i(18). Solve f = -2*l + 27 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -39. Let q = f - 55. Let a(p) = p - 1. Give a(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2556 divided by -4.\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 5*b - 13, 3*f - 2*b = -4*b + 8. Suppose 0 = -4*q + f*q - 20. What is the least common multiple of q and 2*2\/4 - -8?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 222*y**2 + 430*y - 654.\nAnswer: 2*(y - 1)*(y + 3)*(y + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, -70, -156, -276, -430, -618?\n\"Answer: -17*u**2 - u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17799749 - -0.178. What is s rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292562498 to the power of 1\/2, to the nearest integer?\nAnswer: 17104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 (base 11) in base 2?\nAnswer: 100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {u: 5, d: 13}?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*s - 20, 0 = 2*v + s. Suppose 5*y = 4*w - 11, v*y = -y + 15. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 17*x**2 - 67*x + 9. Let s be a(-6). Solve -15 + s = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8)*2) + (sqrt(119)\/sqrt(7) + -3 - sqrt(17)).\nAnswer: -3 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17503650 and 60?\nAnswer: 35007300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -84.6, 1, -2, -5, 0 in increasing order.\nAnswer: -84.6, -5, -2, -2\/11, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, -1, 1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38028, 38027, 38026, 38025, 38024?\n\"Answer: -r + 38029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**4 + 6*v**3 - 12*v**2 - 6*v + 9. Let b(u) = 12*u**4 + 78*u**3 - 156*u**2 - 78*u + 117. Let j(s) = 2*b(s) - 27*p(s). Suppose j(w) = 0. Calculate w.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -404558 or -1349?\nAnswer: -1349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 138*t**3 - 1119*t**2 - 10764*t - 18252.\nAnswer: -3*(t - 26)**2*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 113200313230 (base 4) in base 2?\nAnswer: 10111100000110111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.007, 1\/2, -45?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2820*q**2 - 2826*q**2 + 5*q - 6*q.\nAnswer: -6*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**5\/2 - 7*s**4\/2 + 137*s**3 + 140*s**2 = 0.\nAnswer: -20, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jnn when three letters picked without replacement from {n: 11, j: 2, y: 1}.\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 + 11?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/5100 and 133\/111180.\nAnswer: 555900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -2 - (41 + -60).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95423 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -71.347 and -813.\nAnswer: 58005.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrr when three letters picked without replacement from xxrccrxc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (3 - -3) - (-3 - 1). Suppose h = a - 5*m - 151, -2*a + 5*m + 327 = -0*m. What is the highest common divisor of a and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -333 * 110.\nAnswer: -36630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 255779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 560 = -4*d. Suppose 2*m - 92 = -22. Calculate the highest common factor of d and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52306565917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.521 to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0157366 to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24747694 + 2.\nAnswer: 24747696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -0.503 (c) 3 (d) -2 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/6))**(-5)\/(g*g**(1\/8))**(-2))**(-15\/2) assuming g is positive.\nAnswer: g**(-185\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**2 + 8. Let i(a) = -a**4 + 6*a**2 + 7. Let s(t) = -6*f(t) + 7*i(t). Differentiate s(l) with respect to l.\nAnswer: -28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 + 1 + (28 - 11))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 9 + 7 = 0. Put 2, 1, 5, l in increasing order.\nAnswer: l, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*l*q**2*v**2 + 5*l*q*v**2 - 4*l*q + 3*q**2*v**2 - q*v**2 + v**2 wrt q.\nAnswer: 8*l*v**2 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*d - 3*w + 58, 2*w = -4*d - 48. Let h = 19 - d. Suppose -c = -5*c + h. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*y + 12. Suppose -19 = -5*i + y. What is the third derivative of 2*k**5 - i*k + 5*k - 4*k**2 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + c + 4. Let t(g) = 4*g**2 - 4*g - 21. Let q(v) = -11*r(v) - 2*t(v). What is q(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*k - 14. Let d(a) = -a**3 - 2*a**k + 1 - 1 - 6*a + 12*a**2 - 10. What is the tens digit of d(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 10:01 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v**4 + 3*v**3 + 52*v - 4. Let f(s) = -11*s**4 - 9*s**3 - 155*s + 10. Let n(g) = -3*f(g) - 8*m(g). What is the second derivative of n(k) wrt k?\nAnswer: 12*k**2 + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from lllllell.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -72, -110, -148, -186, -224?\n\"Answer: -38*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:25 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 6 = -2*j. Let o be 3875\/j*(278 - -1). Suppose -3*i - 2429625 = o. Round i to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-20)*-16 + (-12)\/(-10). Find the second derivative of 1 + 24*j + 1885*j**g + 27*j**4 - 1885*j**2 wrt j.\nAnswer: 324*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38)\/(-6) + 1\/(-3). Suppose -s = s + k. Let g be 3\/((-27)\/(-6))*s. Is -3 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d8 + 3?\nAnswer: -2d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*((-168)\/(-60))\/((-3)\/(-5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.7 + -0.3. Let f = c + 5. Let m(t) = t**3 + 5*t**2 + 5*t + 3. Let s be m(-4). What is the nearest to -2 in 0.5, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8782 divided by -241?\nAnswer: -8782\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15910)\/444 + 72 + -35?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31331.\nAnswer: 17, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43047\/5 in 2\/7, -0.5, 1\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-1))\/(45\/3))\/((-76)\/(-69920)*414).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, h: 2, j: 4, z: 3}. Give prob of sequence shjj.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 128\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 382457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 4*y + 25, v - 17*y + 21*y = 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 0 + -2 + 2. Let r = 16 - o. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f + 5. Let m(w) = 3*w - 2. Let h be (-6)\/7*441\/126. Calculate h*b(c) - 7*m(c).\nAnswer: -6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*p = -2*u - 24, -2*u - 22 = -4*p. Let h be (-212)\/u + 6\/(-21). What is the greatest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22117.190790458 + 1.490578458. Let r = -22121 - t. Let u = -5.3 - r. Round u to 5 dps.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + d**2 + d. Let q be w(1). Suppose 1 = l + a, 3*a = -3*l - l + 6. Suppose -y + q = -l. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60273 - -14224387\/236. Let t = 645699 + -9039883\/14. What is the common denominator of f and t?\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2144*q + 3112*q + 5475*q = 858480 for q.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*-2*1884\/166734?\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2 + 5 - 15*z + z**3 + 274*z**2 - 280*z**2. Let o be x(8). Suppose r - 2*r = h - 9, 3*h - 5*r - o = 0. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*d, -5*d + 1 = -h - 3. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -36*v**3 - 11*v + 11. Let g(r) = 2 - r - 228*r**3 - r + 221*r**3. Let b = 0 + -2. Determine b*j(u) + 11*g(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(102) - (sqrt(102) - (sqrt(102)*4 - sqrt(102)))) + sqrt(102))*-1*-5)\/(-4*sqrt(96)*-1 + sqrt(96) + sqrt(96)*-1*-4).\nAnswer: 25*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320868 to the power of 1\/2, to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4082 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277986, 278053, 278162, 278313, 278506, 278741?\nAnswer: 279018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 69*r**2 + 331*r + 694. Calculate j(64).\nAnswer: 1398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1295 - -1836. Let r = n - 78. Let j = 1136 - r. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/15 (b) 6.7214 (c) -5 (d) -3 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 6*t**2 + 6*t + 5. Let y be n(5). Let h = y + -5. Suppose 21 = h*q + 3*i - 26, -q = 5*i - 27. Calculate the remainder when 19 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07069 rounded to three dps?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*g + 15052 = 52*g - 5*b, 5*b = -4*g + 60408. What is the ten thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/2, 0.3, 2\/51?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 28 = -56. Suppose 15*l = -r*l - 95. Sort l, -44, -4 in descending order.\nAnswer: -4, l, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47186257691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 9, 12, 13, 12?\n\"Answer: -u**2 + 8*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 1\/2, -1\/3, -6\/107, 0?\nAnswer: -6\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1544.8 rounded to the nearest 10?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) -1\/5 (c) 5 (d) 6\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1848, -1852, -1856, -1860, -1864, -1868?\n\"Answer: -4*j - 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991 is divided by 168?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13566 divided by 119\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -215\/570646 or 0?\nAnswer: -215\/570646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/21)\/(12\/(-3)))\/((-2)\/21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*sqrt(24)\/sqrt(8)*-1)**2.\nAnswer: -18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 92\/9 - 10. Let g(q) = -q**2 + 148*q - 292. Let c be g(2). What is the nearest to -2\/7 in x, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, 0.0741, -4, -0.0015?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 316718747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1767 divided by -35?\nAnswer: 1767\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1913\/205 < -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9856 or 9080?\nAnswer: 9080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 389a03 (base 14) to base 5.\nAnswer: 444304314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202 (base 3) to base 2.\nAnswer: -101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 665 and 7500535?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**3 + 13*k**3 + 28*k**3.\nAnswer: 42*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 24 = -w, w + 2*v = -14850 + 14902 for w.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 872 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/21*-3*1. Let m = 1 - 3. Let n = 4 + -6. Which is the closest to m? (a) -3 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19031689 to the power of 1\/2, to the nearest integer?\nAnswer: 4363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -6*w + 39. What is the remainder when 201 is divided by w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 897 and 5.\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(4\/11)*t*t\/(t\/t**(-2\/3)))**(-2))**(9\/7) assuming t is positive.\nAnswer: t**(-48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 176*k + 8. Let a be j(5). Let m be ((-440)\/(-12))\/((-4)\/(-54)). Let d = a - m. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4326 divided by -3?\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, b: 1, i: 1, u: 1, p: 2}. Give prob of sequence iu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 1, d: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s**2. Suppose -6*j + 1 = -5*j. Calculate w(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 264 = -9*j. Let a = -2 - j. Does 4 divide a\/17 + (10 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -3 (c) 0.6 (d) -0.2 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5719, -38 in descending order.\nAnswer: 2, -38, -5719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50.89 - 51. Let p = 3.097 + -0.097. Let y = p + -7. What is the smallest value in 5, y, z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13053 is divided by 154?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 535 - 419. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2.265, 1\/4, 7502, 2\/3, 0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 72*b + 2*b**2 - b**4 + 7 - 74*b in the form z + g*b**3 + l*b + q*b**2 + h*b**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + 28484 = -1147124. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/2 + 91*i**3 - 3006*i**2 - 11340*i + 993600 = 0.\nAnswer: -16, 30, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 3\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one fifths of a millimeter?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484079958*u**2 - 968159952*u**2 + 484079987*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(13) + -2 + 5 + (((sqrt(1573) + 1 - sqrt(1573)) + sqrt(1573) - sqrt(1573))**2 - sqrt(104)\/(sqrt(8) - sqrt(128)))).\nAnswer: -16*sqrt(13)\/3 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, u: 1, r: 1}. Give prob of sequence uw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186367943 to the power of 1\/3, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40731?\nAnswer: 3, 13577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-66)*(-429)\/156?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -0.085?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - x = -2*x. Is 6\/31 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6395 divide 140626050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 5:06 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.16, 3, 2, -1024, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -19 + 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21132 (base 6) in base 15?\nAnswer: cae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20182876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, -14, -1, 19519, 4, 0 in decreasing order.\nAnswer: 19519, 15, 4, 2, 0, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -1)\/((-3)\/(-2)). Suppose -4*q + o*q + 660 = 0. What is the tens digit of ((-12)\/10)\/((-9)\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/22 + 952\/88. Suppose 30 = 2*a - 3*p + f, 0 = -3*a - 5*p. Solve -a*v + 19 - 3 = 2*j, -5*v = 5*j - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036506352 take away 28?\nAnswer: -28.036506352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 1176?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 17*j**2 - 4*j + 6. Let g be n(-17). Let r be 7*1*(9 + 13 + 52). Calculate the highest common factor of g and r.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*v - 15 + 61 + 330*v - 46.\nAnswer: 413*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1114178000 rounded to the nearest one million?\nAnswer: -1114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 65\/(-15)*-1 + (-1)\/3. Solve -2\/5*m**2 + 4\/5*m**3 + 0*m - 2\/5*m**z + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1072)\/(-616) - (8 - (-8 + (-9)\/(198\/(-364))))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1887 + -1869. Calculate the remainder when 2082 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183655.96 rounded to the nearest 1000?\nAnswer: 184000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**5 + 43*j**4 - 99*j**3 + 67*j**2 + 97*j - 123. Let v(c) = -c**4 - 2*c**3 + c**2 + c + 1. Let g(h) = b(h) + 3*v(h). Factor g(o).\nAnswer: -5*(o - 3)*(o - 2)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3)*0)\/(-1). Suppose -5*y + v*y = -190. Let k = -151\/4 + y. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23289912 or -23289917?\nAnswer: -23289917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) + 2 + 3)) + (sqrt(130)\/sqrt(5) - sqrt(26))\/sqrt(2))*-6*3.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 4\/191, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 40.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 + 1. Let s(z) = -17*z**2 - 4*z + 1. Let m(g) = 4*d(g) - s(g). Suppose -5*k - 19 - 1 = 0. What is m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*j + 6 - 2 = 0, 23 = -4*c + 5*j. Let v = 85 - 85. Suppose 9*f + 11*f - 60 = v. Sort f, c, 4 in increasing order.\nAnswer: c, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbcnkbncnb. Give prob of picking 1 n and 3 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from wncwibnb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -15. Let f(s) = 0*s - 3*s + 3*s + 19 + s. Calculate the remainder when f(h) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x + 12. Let g be u(5). Suppose -5*l + 248 = -g. What is the highest common factor of 81 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v, -3*m = -0*m - v - 120. Let j be (4\/m)\/(1\/(-2)). What is the third smallest value in -1, 2\/7, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 32 = i - 3, -5*w + 37 = -3*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anvvnvlanaqaqlqa. Give prob of picking 1 l and 1 a.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4.918 * -0.245\nAnswer: -1.20491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**3 + 17*v**2 - 5. Let j(x) = -5*x**3 - 9*x**2 + 3. Let i(t) = 4*a(t) + 7*j(t). What is the tens digit of i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*s + 34 = 0, 2073*s - 2076*s - 21 = -3*p. Solve -p*i - 24 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = -27*g - 249. Which is the nearest to -10? (a) 8 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 37 = -5*c, 2 + 10 = -3*j. Suppose 240 = -5*q - 135. Let r = c - q. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -n - 20 + 4, -5*n - 23 = y. Let r be ((-3)\/3 - y) + (-1 - -14). Suppose 14*i + 9 = r*i. What is the greatest common factor of i and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Solve -2 - 1 = -z*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 127 (b) -57 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(180))**2 + 2 - 1*sqrt(20)\/sqrt(4)*5.\nAnswer: -5*sqrt(5) + 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10482400861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**2*u))\/u)**(1\/53)*(u\/u**(-6\/11))\/u**(-2\/11) assuming u is positive.\nAnswer: u**(974\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -23474, -23473, -23472, -23471, -23470?\n\"Answer: x - 23475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c. Let x be k(2). Let l(b) = 119*b - 5*b + 1 - 20*b - 62*b - 23*b - 15*b. Calculate l(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34224 (base 5) to base 12\nAnswer: 14b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 636277 and 5.\nAnswer: 3181385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11293 + -50.\nAnswer: -11343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 77*m**2 + m + 837. Calculate the lowest common multiple of 45 and d(0).\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.18 + -41.18. Let b = -37 - a. Sort 0, -3, b in decreasing order.\nAnswer: b, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a hour in seconds?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 88*z**2 - z - 2. Calculate j(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or 0.0587?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1936\/(-10164)*(9\/2)\/(-3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5.818 * -0.5\nAnswer: -2.909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 243415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*a + 5*i, 4*a + 3*i = -i - 4. Let u be (-6)\/a + 3 - -3. Suppose 4*h = s - 4*s - 32, 5*h + 25 = 0. Sort s, -2, u in decreasing order.\nAnswer: u, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 8) to base 13.\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(-3 + sqrt(14)\/sqrt(2) + 1 + -1 + 4))**2.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 5*h**2 + h - 3. Let l be (-1)\/7 + (-3322)\/(-77). Let s = 45 - l. Calculate the remainder when g(5) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*z - 8 = 0, 5*g - z + 55 = 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2 + 2)*(-z - 3*z - 3*z)*(66*z + 58*z - 65*z).\nAnswer: 413*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4207 - 242?\nAnswer: -4451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 13. Calculate the lowest common multiple of 34 and z(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 16*l - l - 3*l to the form n*l + q and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -945 + 956. Solve -r*h - 37 = 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3315*h**3 - 52*h**2 + 260*h. Let r(b) = -b**2 + 5*b. What is q(y) - 52*r(y)?\nAnswer: 3315*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2))**9)**(-7\/3)\/((z**(-2)*z**3*z)\/(z*z**2)**(-5\/16)) assuming z is positive.\nAnswer: z**(-215\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 789128 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.0000011 - -26. Round z to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 10951 - 1438 = 0. Suppose -4*t + 1625 + y = -r, 2*t - 1492 = -r. Is 45 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 10 - 4 - 7. Let j(b) = -b**3 - 3*b**2 + 3*b - 3. Let w be j(-4). Let f(v) = v**2 + v - 2. Determine w*f(g) - 3*t(g).\nAnswer: -2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*r**2 + 13*r - 8851 wrt r.\nAnswer: 8*r + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.005 * 1747.95\nAnswer: -8.73975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 6091*t - 355874. Calculate m(-59).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/16*1633864*(-3)\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 - 868*l**3 + 2932*l**2 + 1740*l**3 - 869*l**3 as h*l**3 + t*l**2 + q*l**4 + o*l + y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5 + -5 + sqrt(396) + -1)*-6)**2.\nAnswer: -4752*sqrt(11) + 18616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -1.49 (c) -0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**7\/1680 + t**6\/960 - t**5\/120 - t**4\/48 + t**2. Solve m(p) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*q = -z - 146942, 0 = -z - 3*q - 146936. Let a = -205945 - z. Round a to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 40*g - 7*g + 42*g - g**2 - 5*g.\nAnswer: g**2 + 70*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28142202 by -6.\nAnswer: 4690367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 458, 89 in decreasing order.\nAnswer: 458, 89, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 768540\/1700 + (-1)\/5. Let n = i - 452. What is the biggest value in n, -1\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2 = -u. Suppose w + 19 = 5*r + 4*w, -20 = -u*r + 5*w. Suppose -2*k = -4*d - 6 - 60, d = -r*k + 198. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 828 and 248124.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108515 is divided by 3251.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18341, 15680, 11247, 5042, -2935?\n\"Answer: -886*p**2 - 3*p + 19230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27600 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 480 = -14*w. What is the remainder when 73 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -48*x + 42. Let h be r(1). Let l be (-14)\/10*(-10)\/(-4 - h). Solve s = l*s + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-13)\/(q*q\/(q**(1\/12)\/q)))**(-2\/3)\/(q*q*q\/((q**(-1\/17)\/q*q*q)\/q)*q*q**(-1\/7))**(-23) assuming q is positive.\nAnswer: q**(215653\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 64 + 60 + 14*g**3 - 191.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -215*q - 14. Let v(w) = 216*w + 17. Give -5*h(i) - 4*v(i).\nAnswer: 211*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**4\/4 - 10*a**3\/3 - 15*a**2\/2 - 9*a - 7. Is c(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -42*z + 83. What is v(-4)?\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 4. Let u be s(2). Let z be (5 + u)*(-4)\/3. Suppose z*k - 20 = 12. Solve -k + 2 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 603968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -70231232 take away -0.27?\nAnswer: -70231231.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 - 56 = -20*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)*(a\/(a*a\/a**(-1\/7)))\/a)**(4\/37)*((a*a**0*a*a)\/(a\/a**(-2\/9)))\/(a**0)**(-8\/5) assuming a is positive.\nAnswer: a**(94\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millisecond in microseconds?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*i - 4*v, -3*i - 5*v + 495 = 473 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4230000 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 545539712.\nAnswer: 545539714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**5 + 4*p**5 - p**5 + (-p**2 + p - p)*(2*p**3 - p + p) - 3*p**5 + 4*p**5 - 4*p**5.\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 422, 6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a microgram in nanograms?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1635\/(-2))\/((-7)\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3760 (base 12) to base 3.\nAnswer: 22121000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 17*p**4\/6 - p + 106. Let d(f) = -36*f**2. Give m(d(n)).\nAnswer: 44064*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 5:32 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*r**2 + 34*r**3 + 5 - 38*r**3 - 2*r**2 to m*r**3 + g*r + c*r**2 + b and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 1639260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nllffkff. What is prob of picking 1 k and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -22523\nAnswer: 4504.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 6:41 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 3810.\nAnswer: -3805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4*j + 16. Suppose -j*p + 5*p - 6 = 0. Let q(z) = z. Let d(u) = u - 1. Let y(m) = 2*d(m) - 3*q(m). Let a(b) = -b - 2. Calculate p*a(x) - 3*y(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/20)\/((-6)\/10)*-3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 - -12 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*q**4 - q - 24939*q**3 + 49876*q**3 - 24946*q**3 - 1018 wrt q.\nAnswer: 352*q**3 - 27*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*z - 25. Let x be z\/(-4)*(842 - -2). Let y = x - -2410. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -711*s**4 + 711*s**4 - 50*s**5 + (-3*s + 3*s - 2*s**4)*(-2*s + 4 - 4).\nAnswer: -46*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -77*d**3*o - 5*d*o - 22*d*u + 2*o*u - 36866*u wrt d.\nAnswer: -231*d**2*o - 5*o - 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 11) in base 4?\nAnswer: 3331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 0 + v + v**2 + 1\/3*v**3. Find the first derivative of o(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.6 + 3.6. Let v = f + -2. Sort v, -4, -5 in descending order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qomn when four letters picked without replacement from {q: 2, n: 7, e: 1, m: 1, o: 1, r: 5}.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15628 - 15628 + 355*w**3)*(3*w - 6*w + w).\nAnswer: -710*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 206*v**2 + v - 26. Let m be c(-6). Suppose 0 = -17*j + m - 159. Suppose 3*r + y = r + 166, 5*r = -5*y + j. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(15\/(-12)))\/(((-1426)\/(-31))\/(-138)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 985147?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 16*i**2 + i - 1. Let a be k(1). Let y = -6 + 13. Let t(n) = -n**3 + 6*n**2 + 7*n + 5. Let v be t(y). Solve -5*m - 16 = -r, 4*m + a = -r + v*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 12:07 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15*116\/(-1305)*(-3)\/(-8)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/25 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*d + 3*x + 125, 0 = 3*d + 3*x - 54. Suppose -d*c + 347 + 297 = 0. Calculate the highest common factor of 189 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.088 + -5.812. Let d = p - 0.1. Let x = d - -5.999. Round x to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-50)\/10)\/(-5))\/((-6)\/4)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (((-6)\/(-4))\/(-3))\/(18\/(-576)) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18020548, 18020505, 18020462?\n\"Answer: -43*q + 18020591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 10701*x. Let o(p) = -3*p + 27. Calculate f(o(b)).\nAnswer: -18*b**2 + 32427*b - 290385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 53.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**8\/35280 + r**7\/8820 - r**6\/630 - r**5\/6 + 4*r**2. Let j(z) be the third derivative of b(z). Let j(w) = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 272*((-2)\/10)\/((-4)\/20). Let o = -268 + u. Solve q**2 + 1\/3*q**o + 0 + 1\/3*q + q**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b552 (base 13) in base 6?\nAnswer: 312035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3117*k + 15319. What is v(-5)?\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 3*r - 1\/6*r**3 + 0*r**2 + 0. Let s(c) = 3*c. Let j(b) = 21*b. Let t(z) = 4*j(z) - 27*s(z). Determine t(w(n)).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125526144 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -47080 divided by 55?\nAnswer: -856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 147, 151, 155?\n\"Answer: 4*b + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5*j - 75, -j - 45 = -0*k - 3*k. Solve -2 - 8 = h - 3*c, -4*h = -c - k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -94. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/68363235 and 67\/4440.\nAnswer: 546905880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 277*v**2 + 14 - 10 - 17.\nAnswer: -277*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -109\/6 and -123\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5643.23 to the nearest 100.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 32. Let f = 830 + -693. What is the remainder when f is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1157 + -1147. What is the third smallest value in -3, -10, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 580 = 3*l + 80, -f = 2*l - 332. What is the remainder when 336 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*p - 29*p + 13*p + 3890 - 1130 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7495441152.0009868 + 7495439266. Let k = 1886 + s. Let p = k + 0.001. Round p to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -101*p - 80. Let z be c(-1). Let g(k) = 5*k - 4. Let x be g(-3). Let t = z + x. Solve -r = t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzqq when four letters picked without replacement from rzagqhq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33431 is divided by 356?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(192) - sqrt(12) - sqrt(12))\/(sqrt(4)*-2*-6).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1623923918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2432998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-6)*2\/(-198)*-6?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/7 or -2261931.9?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*2\/2 + 24. Let v = 2 + j. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*k - 25, k + 14 = -3*r - 3*k. Let y be 13 + -16 + (r - 2). What is the third biggest value in 3\/7, 0, 3, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 + 16*h**2 - 5*h + 46. Suppose -3*v + 7*v - 136 = -4*k, -2*v + 88 = -3*k. Calculate the remainder when v is divided by q(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Let h(l) be the first derivative of 3*l**3 + 20. What is x(h(d))?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/3)\/3382*-4?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*-4 + 4*sqrt(4455))\/(sqrt(275) + (sqrt(275) - (sqrt(275) + sqrt(275)*4)) + -1*sqrt(1100)).\nAnswer: -24*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(45\/(-8)))\/11*(-70)\/(-14).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 312807 * 5\nAnswer: 1564035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n\/n**(6\/7)))*n\/(n\/(n\/n**(1\/3)))*n assuming n is positive.\nAnswer: n**(38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/13237 and -79\/9867238.\nAnswer: 69070666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 41 = 3*t - 29, -5*w - 2*t = -75. Calculate the highest common divisor of 102 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-6))\/(2\/(-6)). Suppose -6*f - 5 = -b*f. What is the units digit of (-1)\/f + (-116)\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -3.9\nAnswer: 35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 490\/(-294)*(-1404)\/67080?\nAnswer: 3\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*w - w = 27, 2*w = 2*a - 12. Let k(z) = -z**2 + 12*z - 8. Let v be k(a). Solve v*r - 13 = -t, -3*t + 23 = 3*r + 2*r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**7\/11340 + n**6\/3240 + n**4\/6 + n. Let d(q) be the third derivative of c(q). Factor d(l).\nAnswer: -2*l*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -8*y**3\/3 + y**2 - 4*y + 1449. Let b(u) = 8*u**2 - 2*u + 5. Determine -4*b(n) - 5*o(n).\nAnswer: 8*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 541115 - -225441?\nAnswer: 1211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 15, -4184, 8, 2, -3, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -180*f**3 + 109*f**2 - 226*f + 13. Calculate w(2).\nAnswer: -1443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 - q**3 + 28*q**2 + 7*q + 3 - 30*q**2 - 9*q in the form i*q + m*q**4 + w*q**2 + j + y*q**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 436?\nAnswer: 3488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 7139762*i**2 + 6372035886710*i - 19116043402326.\nAnswer: 2*(i - 1784939)**2*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/1732, 2\/13, 2\/9, -3 in ascending order.\nAnswer: -3, 1\/1732, 2\/13, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 - 661*x**2\/4 + 136327*x\/2 + 136986.\nAnswer: -(x - 289)*(x + 2)*(x + 948)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 - 4*x + 6. Let l be (-3)\/(-1) - (-11 - -13). Let f(z) = -z**2 + z - 1. What is l*v(a) + 4*f(a)?\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -888526900 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1348, -2700, -4052, -5404?\nAnswer: -6756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15822, -31592, -47354, -63102, -78830, -94532, -110202, -125834?\nAnswer: -141422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30993160.\nAnswer: 2, 5, 11, 70439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d - d + 109*d + 2*d - 104*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*c + 18. Let h = c - -1. Is 20 a factor of 128*(-5)\/(-10) - h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-56)\/42 + (-200)\/(-24). Let x be 3 + ((-225)\/315)\/(2\/q). Let j = -24\/5 - -53\/10. Which is the closest to j? (a) 14 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u - 130 + 157. Let j be ((-60)\/(-18))\/(2\/3). Suppose 0 = c - 2*c + j. Solve 5*p + 3*d = -2*d - 10, 0 = -c*p - u*d - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-2)\/(-5))\/(2\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 3*d + 9*d. Let a(m) = -4*m - 1. Let x(u) = u**3 - 2*u**2 - 4*u. Let o be x(3). Let k(y) = -y + 4. Let q be k(6). Give o*w(t) + q*a(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*x - 362*x + 960 = 0 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 + 57*r**2 + 4*r - 80. Let n be i(19). Which is the third biggest value? (a) -0.05 (b) 3\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1087.8456 hours to days.\nAnswer: 45.3269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-2) - (-10)\/4. Let x**3 - x**2 - 3*x + 0*x + x**4 + m*x - x**5 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/88 and 67\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6125, -12250, -18375?\n\"Answer: -6125*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 37.8. What is the third smallest value in f, -0.5, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*5\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from okckkmaokkavkkkkoc.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 3) in base 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 5090391?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 76*z + 239. Let q be g(-3). Solve -3*t + 2*t - 3*y = -q, 0 = -t + y - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 34 = -31*t. Suppose -7*j - 18 = -4*j. What is the least common multiple of 12*(-3 + (-27)\/j) and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/(-4275) - (-508)\/720?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 954 divide 4868262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 50, 59 in increasing order.\nAnswer: 12, 50, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 - 14*c**2 + 5541*c - 44312. What is a(8)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 299\/308 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/2 - (-399)\/(-114). Let d(q) = -2*q**2 + 4*q + 6. Calculate d(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 16*t**7 + 343*t**4\/6 - 292*t. Find the third derivative of w(j) wrt j.\nAnswer: 40320*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/16*(-4)\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -101011001?\nAnswer: 101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -341\/1655 - -2\/331. Which is the nearest to m? (a) 0.4 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/15 - 4\/(-6). Suppose 5*s = -4*y + 2*y - 20, d = -3*s - y - 13. Let w be (5\/(-2))\/(s\/12). Solve -4*l = w*v + 32, 0 = -2*l + 3*v + 6 - 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.75 * 71818\nAnswer: -987497.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(2\/91)*y**7*y*y*y\/((y*y**(-1\/10))\/y)*y assuming y is positive.\nAnswer: y**(30343\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8597643 rounded to two decimal places?\nAnswer: 2.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 540 and 33?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1090\/90 - 8)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5395 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 261928*q - 17151569296.\nAnswer: -(q - 130964)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -29*x**3 - 8*x**2 - 8*x - 27. Is b(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**2\/5 - 72332*c\/5 + 289296\/5 = 0.\nAnswer: 4, 36162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 6\/1931 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1435, -1638, -1841?\nAnswer: -2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (714\/(-272))\/(4\/(-160)). Solve x = -19*z - 16*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.54\nAnswer: -0.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -31 + (21 - 12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2943)\/48 + (-5535)\/(-17712)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m. Let f(v) = 4*v. Let j(b) = -96*b. Let t be -1*(35\/140)\/(2\/8). Let n(c) = t*j(c) - 20*f(c). Determine -4*n(p) + 11*x(p).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 1526 - 1229 = 5*j, -k = -4*j + 240 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 23*x**2 + x - 20. Let v be d(23). Determine z, given that 18*z**2 + 9*z**3 - 17*z**2 - 11*z**v - 7*z**4 - z**5 - 3*z**5 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*x + 271*x = 509. What is the least common multiple of 1 and x?\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (sqrt(605) + -1 + sqrt(605))) + sqrt(605) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131.6 + 120. Let s = 0.6 + g. Let a = 11 + s. Which is smaller: a or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38734 - 2674. Let f be (-12)\/8 - 225351\/k. Let j = f + -2\/3005. Find the common denominator of j and -49\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0*(-3)\/6)\/(-1). Suppose 0 = -n - 5*s + 12, -13 = -4*s - 5. Suppose -4*v = 2*o, v = 3*v + n. Solve -o*z + 0 + 4 = y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f**2 - f**3 - 2*f - 4*f**4 + 15*f**2 - 2*f**4 + 5*f**4 to the form l*f + v*f**2 + d*f**3 + c*f**4 + g and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h**2 + 3*h**2 - 23*h**2)*(4*h - 7*h - 3*h) - 4*h + 4*h - h**3 - 4*h**2 to the form u*h + p*h**3 + f + k*h**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2154, -2155, -2142, -2103, -2026?\nAnswer: -1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 - 99. Let t(q) = 6*q**2 + 4*q + 4. What is the hundreds digit of t(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 2:12 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 437 - 813 = -5*l, -2*l - 2*g + 496 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 989 and 271115?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*o + 6 - 50, -4*m - 62 = -3*o. Solve l = -2*t + 2, -o = 3*l - t - t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 677575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 40403\/7, -4, 2\/7, 0, 1 in decreasing order.\nAnswer: 40403\/7, 1, 2\/7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -39, -29, -17, -3, 13?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -10*l + 3. Give w(11).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + -0.0222542?\nAnswer: -75.0222542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z. Let i(k) = -k**2 - 1. Let s be i(0). Let c = 9 - s. What is the lowest common multiple of u(3) and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*s - 9 = 0, 1 + 5 = -2*y + 2*s. Which is greater: 2\/17 or y?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, 1, -4, 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 8*y + 5. Let t be o(-7). What is the hundreds digit of t\/((-4)\/(-2150)*-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*b + 16 = 0, -89*b + 10 = -3*x - 90*b. Let n(g) be the second derivative of -1\/3*g**3 + 0 - g + 0*g**2. Calculate n(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2581*z - 5 + 12 + 2609*z)*(2 - 3 + 2).\nAnswer: 28*z + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7377 + 88453\/12. Let x be ((-46)\/(-14))\/((-36)\/742). Let z = x + 206\/3. Calculate the common denominator of k and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 46 = -4*s + b, -s + 3 = 4*b. Suppose -126 = -s*i + 2437. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -42?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2 - 56*p + 2. What is the hundreds digit of t(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-419*u + 120*u - 608*u - 1076*u)*(0*u**2 + 0*u**2 - u**3) + 5*u**4 - 4*u**4 - 3*u**4.\nAnswer: 1981*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/35 + (-10)\/(-7). Suppose -3*a - 1234 = -4*i, 184 = l*i - a - 434. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504270 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 2*v + 9. Let j be c(-4). Suppose -x = 3*b + j - 6, 3*b = 4*x + 25. Let h = -9 + 14. Solve 3*y - 14 = -h*d, -5*d = 2*y + b*y - 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.76477 nanometers in centimeters?\nAnswer: 0.000003776477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1078 + -1077.999999457. Round k to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1301\/24 - 635\/8. Let l = 1472\/1365 + -2\/65. Find the common denominator of l and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, 7, 140, 377, 748, 1283?\nAnswer: 2012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2\/13*f**3 + 1242\/13*f + 2116\/13 + 96\/13*f**2 = 0?\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368 and 15709.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsl when three letters picked without replacement from {s: 7, d: 2, l: 2, r: 2, z: 7}.\nAnswer: 7\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -454.4334375591+0.1\nAnswer: -454.3334375591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -2\/3*o**3 - 1\/20*o**5 + 0*o + 0 - 7\/120*o**6 + 1\/8*o**4 + 7*o**2. Is p(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.36 + 5.9. Let d = -0.4538 - f. Round d to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22 - 2)\/((-9)\/24). Suppose 7*r - 48 = h. Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*75\/10*16\/(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (126 + 0)*((-3132)\/145)\/27. Which is the nearest to 0? (a) o (b) 3\/7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1216 = 2618*c + 24986 + 11475 + 9261 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 410495, 820988, 1231481, 1641974, 2052467?\n\"Answer: 410493*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/228, 2\/7, 1\/14, -1 in increasing order.\nAnswer: -1, 1\/228, 1\/14, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - i - 1. Let c(r) = 27*r**3 + 58*r**2 - 5*r - 5. Give -c(y) + 5*m(y).\nAnswer: -17*y**3 - 58*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*w + 41. What is the remainder when 121 is divided by w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 16.8 (b) -5 (c) 6.4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 4, -0.4568 in descending order.\nAnswer: 4, 1\/6, -0.4568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 43054?\nAnswer: 4\/21527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276824 divided by 6?\nAnswer: 212804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 526336.\nAnswer: 3\/263168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -20*g**2 - 300*g - 19. Determine w(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003914169568 to six decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (10\/3*(-12)\/8)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1074 divide 131371489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0 + 2*j + 1\/6*j**4 + 0*j**2 + 0*j**3. Let o(f) = 3*f**2. Give q(o(g)).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1594*t**3 - 10*t**2 + 5. Let o(k) = -797*k**3 - 4*k**2 + 2. Give -2*j(w) + 5*o(w).\nAnswer: -797*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 11 + 38 = 0. Suppose -3 = -4*h - m. Find the common denominator of h + 5 + (-518)\/49 and -50\/17.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*a - 1281. Suppose 6*f - 111 - a = 0. Sort -5, 3, f in increasing order.\nAnswer: -5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7840244 - 3*z + 7840244.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31\/(-5) + 3 - (-20)\/(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -319.\nAnswer: 8\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -12, -12, -10, -6, 0, 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 970, 981, 1006, 1051, 1122, 1225, 1366?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*n - 20. Let o be 2*((-3)\/n - 0). Let q = 1439.5 - 1439. Which is the second biggest value? (a) -8 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 324*o - 63159. Let t be d(-137). Suppose -28 = -0*f + 2*f. Sort t, 1, f in decreasing order.\nAnswer: 1, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 199*x - 1075*x - 1911*x as q*x + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h - 13. What is the tens digit of r(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.051203*-0.5.\nAnswer: 0.0256015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/36*6)\/(9\/(-4))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 - 24*k + 19. Let l be j(5). What is the smallest value in l, -1\/5, -0.08?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 10 - 16*k + 10*k**2 + 4*k + 11 + 0*k**3 + 6*k**3 - 7*k**3. What is x(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/25)\/(s\/s**(-1\/4)))\/(s**(-1\/4))**(-46))**(1\/2) assuming s is positive.\nAnswer: s**(-1267\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 276 and 22908?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k**2 - 4*k + 3. Let q be t(2). Suppose -3*s - 4*f = 65, 2*f = s + f + q. Let v = s + 28. Solve -5 = 2*n - v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.59 rounded to one decimal place?\nAnswer: 16.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*sqrt(1024) - sqrt(1024))\/(sqrt(648) + sqrt(648)*2 - sqrt(96)\/(-1*sqrt(12))).\nAnswer: -34*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1053 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 35, -2, 0, 1, -5\/4?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.61 - 1.91. Which is the nearest to 1? (a) k (b) -2\/15 (c) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.5704709 + -0.7.\nAnswer: -54.2704709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 39 = -5*j, 16*v - 13*v = -2*j + 32. Suppose -14 = -7*r + v. Solve -r*a = 6 + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 178.832 - -0.168. Let g = -306 + i. Let m = g + 126.999947. What is m rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.52 - -0.47. Sort t, -4, -0.2.\nAnswer: -4, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**6\/60 - s**4\/24 - 3*s**2\/2 - 3*s. Let h(w) be the first derivative of g(w). What is the second derivative of h(b) wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2224503 (base 6) to base 11\nAnswer: 77586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8 + 0 + 3 + 3*t - 2*t**2. Let b be a(5). Let h = -17 - b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 7*z - 19256. Suppose 1458 = 7*l - z. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-6)*(-1)\/(-4). Let d(f) be the second derivative of 3\/2*f**2 + 2*f + 0 + j*f**3. Find the first derivative of d(t) wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/15300 and 23\/10200.\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 96*y - 99*y - y**2.\nAnswer: -6*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/8 + 2 + 1169\/28. Suppose -4*m + t = 26. Suppose -7 = m*s - 31. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2932?\nAnswer: 2, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 38, 3\/2, -5 in decreasing order.\nAnswer: 38, 3\/2, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2628 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 9*v + 15*v - 1. What is the fourth smallest value in 11, -1, -0.1, -3\/7, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*p - 995*p + 568*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23859200 and 600.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*m + 269 = 0, -n - 9*m - 51 = -13*m. Suppose 0*h - 3*h - 207 = 0. Let f = h - n. Solve 4*b = 3*b + 3*s - 3, -2*b = f*s - 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j - 693 = 4627. What is the remainder when j is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*7\/(-28) - -2. Suppose -4*z + 0*v - 3*v = -1552, -m*z + 1929 = v. What are the prime factors of z?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iia when three letters picked without replacement from {o: 1, a: 8, c: 2, i: 9}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n - 1. Let h be r(-4). Let l be h\/(-18)*(-3404)\/6. Let k = -594 + l. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/57 + 2\/19. Which is the closest to 4\/5? (a) -5 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17067 - 17067. Put f, -1, -58 in decreasing order.\nAnswer: f, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 16*n**3 + n**2 + 5*n - 4. Suppose 0 - 3 = -g. Suppose 2*p + 3*h = 19, -g*p - 2 + 3 = -h. What is the units digit of a(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 5*r + 26. Suppose r*q = -7*q + 43479. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5\/6, -0.3, -5, 3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -18 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 1. Let n be (s\/(-4))\/((-3)\/72). Calculate the highest common factor of 8 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -51 + 31 - -12.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.96? (a) 8\/25 (b) -2\/3 (c) -0.07 (d) -2\/15 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(320) - (0 + sqrt(320) + -3))**2 + -5*((-4 + sqrt(5)*2)**2 + (sqrt(245) - (1 + sqrt(245) + sqrt(245)))).\nAnswer: -130 + 115*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39687 in 11, -3\/5, -0.4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -13. Suppose 0*v + 5*m = -5*v + 20, f*v - 12 = -4*m. Suppose -s = -1, v*i - 3*s = s + 312. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2 - (-5648)\/(-2). Let o be s\/(-4) + 1\/(-4). Suppose -2*p - p + o = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 33*u**2 + 30*u - 66. Let g = -838 - -806. What is v(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.4, -3347, 5, 0.01, -0.04?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3 - (-18)\/4*(-116)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 14) + (-20 - -31).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2310 divided by 5\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 371 - 28306*l**3 - 463*l**4 + 135 + 28306*l**3 wrt l.\nAnswer: -1852*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 1, j: 1, i: 1, y: 2, l: 2}. Give prob of picking 1 l and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c + 24 = 43*c + 4*d, 4*d = -c + 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tps when three letters picked without replacement from {p: 3, c: 2, t: 1, s: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*q - 3*q = -16530, 4*q = 16. Let x be ((-25306)\/(-16))\/((-99)\/1034). Let s = p + x. What is the common denominator of -1\/10 and s?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50 - -211660162?\nAnswer: 211660112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*j = 44*j + 70 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -51. Suppose 0 = 2*c + 8, 0*d - 4*d - w*c + 16 = 0. Let q(v) = 4*v - 15*v + d*v. Let u(t) = 6*t. What is u(q(g))?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*h = 4*s - 1350, 0 = 5*s - 3*h - 1344. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8052 and 1188.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2, -84, 7 in decreasing order.\nAnswer: 7, -2, -8, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a centimeter in micrometers?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((15 - 19) + (-10)\/(-6))*-3. Suppose -c - 2*i + 59 = 0, -y = 2*c - i - 150. Suppose -c - 31 = -2*h. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 282*q**2 + 294*q**2 + 288*q**2 - 115*q**2 in the form v + g*q + t*q**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 909 (b) 4\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(11) - 4*(sqrt(66)\/sqrt(6))**2).\nAnswer: -2*sqrt(11) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 20*y**2 + 1383*y + 204. Give a(-69).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73.9815 - 74. What is u rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 402 - 15?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(1053) + 2*sqrt(1300).\nAnswer: -2 + 38*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111.18 + 0.15. Let f = z - -111. Which is greater: -3\/2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((4 + 4 - 3) + -3). Which is the biggest value? (a) 4 (b) -1\/3 (c) -16 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 10:13 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 + 106*k**2 + 66*k + 1191. What is g(-35)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 29247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 4. What is the remainder when 52 is divided by l*(-12)\/(-8) - 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-28)\/(p\/p**(-47)))\/(p*p\/(p*p**(-5)*p))**(-3\/4) assuming p is positive.\nAnswer: p**(-289\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 582 = -3*n - 3*f, -2*n + 388 = -3*f. List the prime factors of n.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12856 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-256055)\/(-20))\/((-38)\/(-152)).\nAnswer: 83, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j. Let g(l) = -13*l + 26*l - 5*l - 9*l. Determine g(o(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_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 3*l + 4 = 13, 2*m - 4*l = 54. Suppose m - 1 = 4*s. Let x be 2 + -2 - s\/(-2). Solve -2*j + 12 = b, 10 = -x*b - 3*j + 38 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 31*w**4\/6 + 19*w**2\/2 + 10*w + 20. Let n(u) be the first derivative of l(u). What is the first derivative of n(h) wrt h?\nAnswer: 124*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 + 26*k**2 - 27*k + 9. Let s(w) = -4*w**3 + 35*w**2 - 37*w + 12. Let j(y) = 11*f(y) - 8*s(y). Let o = 13 - 7. What is j(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(55)\/(sqrt(5)*2) + -2.\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 425?\nAnswer: -3\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 183, 180, 175, 168, 159, 148?\n\"Answer: -u**2 + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 - 608*l**3 + 1204*l**2 - 600*l.\nAnswer: 4*l*(l - 150)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 3*x**2 + 2*x. What is f(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/2831 and 73\/20264.\nAnswer: 385016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13743 is divided by 1863.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3 + 1212*f**2 + 218789*f - 220002 = 0. Calculate f.\nAnswer: -991, -222, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 10*d**2 - 31*d - 188. Let t be o(-9). Solve -48*y + t = -50*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 7*q = 18. Suppose -q*d = -5*d + 351856. Let i = -10964 - d. Round i to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*p - 88*p = -2728. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 743861.4.\nAnswer: 743861.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 - ((-5)\/10)\/(2\/(-4)). Suppose j + 3*m - v = -m, -2*m = -2*j + 44. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3590237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q + 4. Let n(l) = -l**2 - l. Let a(w) = -i(w) - n(w). Let u(o) be the first derivative of -3*o**3 + o**2\/2 + 3*o + 43. Let f be u(-1). Give a(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 1:55 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -18*m + 167. Let y be a(9). Solve -y*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 10. Let r = 7 - 4. Suppose 5*w + r*y = 0, -3 = 3*y + 12. What is the smallest common multiple of w and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - -3 - (-106 - -11). What is the greatest common divisor of 30 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -10. Solve 18 = d*b - 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3009*t. Let x(b) = 7*b**2. Calculate j(x(d)).\nAnswer: -21063*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 6. Let a(t) = -56*t - 4. Let u be a(y). Round u to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fgfofofihiog.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 6*sqrt(22)\/sqrt(11))**2 + 1 - (sqrt(32) + 0 - (sqrt(18)\/(sqrt(45)\/sqrt(5)) - sqrt(2))**2).\nAnswer: -4*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3100 + -1191. What are the prime factors of t?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/23 and (-24)\/(-9) - 10865\/5658.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28046866 - 3.\nAnswer: -28046869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 divided by 12435?\nAnswer: -32\/12435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 332 or 7279\/22?\nAnswer: 332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m + 1. Let c(b) = 3*b**2 + b. Let d be c(-1). Suppose 0 = -34*s + 32*s + 4. Let t(a) = -s*a**d + 912 - 912. Give h(t(l)).\nAnswer: 14*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 1 + 1)*(-2 + 2 + 15*p) - p**2 + 0 + 0 + (1 + 1 - 3)*(0 + 0 + 2*p**2).\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.5 (c) 0.3 (d) -4 (e) -1 (f) -432\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 407b7?\nAnswer: -407b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 466.7865 kilograms?\nAnswer: 466786500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -3\/11 (b) 0.5 (c) 3 (d) 1 (e) 519 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5796825ml?\nAnswer: 0.0005796825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101011110100111101 (base 2) to base 10\nAnswer: 179517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12123208 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 2 + -17 - -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4070)\/15*6\/(-4). Let p = n + -177. Let r be 16\/40 - 72\/p. Which is the second biggest value? (a) r (b) -4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/12 + 10 + 572\/(-33)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9195, -9160, -9103, -9024, -8923, -8800?\n\"Answer: 11*a**2 + 2*a - 9208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d**2. Let i(v) = 3*v**2 + 4*v. Let n(b) = 4*b**2 + 5*b. Let l(o) = -5*i(o) + 4*n(o). Give x(l(m)).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.3 and 2.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.59, 8, -2, -2\/73 in increasing order.\nAnswer: -2, -2\/73, 4.59, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*u + 110*u + 36*u.\nAnswer: 238*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + -1. Is t at most -39\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5188076 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*b**3*c - 181*b**3 wrt c.\nAnswer: 48*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122 and 25437?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, w: 3}. What is prob of sequence ww?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1408 is divided by 109.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4628 + -1562. Calculate the greatest common factor of 126 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/1467 and -67\/10.\nAnswer: 14670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*p + 110, -3*y + 188 = p + 3. Let s(o) = -117*o - 1 + 68*o + 5*o**2 + y*o + 45. Is s(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.073 + -0.273. Let y = -0.1 - 0.3. Let k be 1 + (-6)\/20 - 2\/10. Which is the nearest to r? (a) k (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51.82*9975\nAnswer: 516904.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let d = 173 + -169. Let v(l) be the third derivative of 5*l**4\/12 + 30*l**2. Calculate d*v(p) + 45*f(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(63)\/sqrt(3))\/sqrt(3) - sqrt(7)))**2 + (2 + sqrt(63) + -1)**2.\nAnswer: 6*sqrt(7) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (283 - 271) + (-25 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -660815, -660857, -660937, -661061, -661235, -661465, -661757, -662117?\nAnswer: -662551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46725 is divided by 766.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 84*p - 99. Let k(s) = -17*s + 20. Let a(r) = -2*h(r) - 11*k(r). What is the first derivative of a(c) wrt c?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9547815283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 9\/10, -0.4, -0.5?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 1\/3 (b) 0.6 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from {m: 6, x: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, z: 3}. Give prob of picking 3 z.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) + ((sqrt(126) + sqrt(126)*3 + sqrt(126))*-2 - sqrt(126)) + sqrt(126))\/(sqrt(63)\/sqrt(9)*-5)*-3.\nAnswer: -81*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10290\/196 - 1\/2. What is the highest common divisor of n and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -167*p - 59 + 334*p - 180*p. Let a be n(-5). Solve 5*x = -2*j + 9, 2*j + x = -j - a for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 - 60 - 39)*(-r - r + 6*r)*(-5 + 2 - 1) in the form n*r + v and give n.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, h: 2, o: 1, e: 1}. What is prob of sequence me?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 21130116*b - 1276. Let q be h(11). What is q rounded to the nearest one million?\nAnswer: 232000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4141698, 2\/15, 0.6 in ascending order.\nAnswer: 2\/15, 0.6, 4141698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/5))**35*g**(-11)\/g*g**0)**33 assuming g is positive.\nAnswer: g**(-627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(374\/425)*(-8)\/10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 - 7*r**2 - 3*r + 5. What are the prime factors of w(-5)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*d = -120, -w - 11 = -4*d + 52. Let u = -23 - w. What is the remainder when u is divided by ((-6)\/(-7))\/((-3)\/(-63))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + q + 1. Let j(v) = -v**3 - 8*v**2 + v + 8. Let f = 21 + -29. Let k be j(f). Suppose d + 3*d - 7 = 5*o, -o - 3 = k. Give y(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 147*j**2 + 166*j - 2547. Calculate c(148).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192045 and 3540?\nAnswer: 768180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/857763 and -23\/762456.\nAnswer: 6862104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 0*g + 3852 - 4*g**2 - 3894 to b + l*g + a*g**2 and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*g - 664 = 3260. Suppose 47 = 4*k - 73. Calculate the highest common factor of g and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + 11 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:02 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86030 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, d: 2}. Give prob of picking 1 r and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*l*r*s*y + l*s*y + 2*l*y - 4*r*s*y**2 - 6*r*y**2 - 9*r*y wrt s.\nAnswer: 10*l*r*y + l*y - 4*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -159, -2, -3455 in decreasing order.\nAnswer: 5, -2, -3, -159, -3455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23541 = 22444621*p - 22444798*p for p.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -33*z**4 + 176960*z**3 - 75068*z**2 = 0?\nAnswer: 0, 14\/33, 5362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 651.4946 millimeters?\nAnswer: 0.6514946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*f**2 + 6*f - 6*f)*(f - 2*f + 3*f) - 3*f**3 - f**3 + 2*f**3 + 0*f**3 - f**3 - f**3)*(0 + 1 - 2).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**3 + s**2 + s - 1. Let h be y(1). Let f be h\/(-8) + 45\/12. Solve 4*z = 4*d - z + 14, f*z - 6 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*p - 6*p + 243, 3*p + 365 = 5*u. What is the highest common divisor of 228 and u?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*n**3 + 6*n**2 + 242*n**3 - 2876*n - 6*n**2 + 2876*n.\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6208166.8 rounded to the nearest one hundred thousand?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*sqrt(272) + 3 + 1 + 2)*-1.\nAnswer: -12*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-36)\/(-54) - (16\/(-6))\/(-4). Suppose b = -27*m + 17*m + 40. Let o = 63 - 19. Calculate the greatest common divisor of o and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10771 - 9881.2. What is s rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 4 + d + d**2 + 4 - 10. Suppose -4*h - 6*y = -y, 0 = -2*y. What is k(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 973877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 166.151?\nAnswer: 166.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-876)\/(-52) - 4\/(-26). Let x(d) = -d**3 - 12*d**2 + d + 27. Let j be x(-12). Let p = q - j. Solve p*z = -z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -13\/2 and 1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 1:39 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -28809*z + 1814983. Give a(63).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 + 613*p - 2814 + 469.\nAnswer: 613*p - 2203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5591 + 5564. Let v(x) = -2*x**2 + 3*x - 6. Let c be v(4). Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z - 5*w = 4205, -5252 = -5*z + 2*w. Round z to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 - 3*x**3 - x**3 + (-2*x**2 + x**2 - 6*x**2)*(2*x + x - x) + 125*x**2 + 4*x**3 - 125*x**2.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/7 - 38*h\/7 + 20\/7.\nAnswer: -2*(h + 10)*(2*h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 9*u + 83. Let i be f(-9). Suppose -i*r + 79 = -5*y - 90, 0 = 4*y + 20. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9415 is divided by 1882.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -81*j**2 + 195*j wrt j?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -60784 divided by 2\nAnswer: -30392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2553 divided by 851.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 m, and 1 g when three letters picked without replacement from {g: 3, m: 1, p: 2, k: 13}.\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13409735?\nAnswer: 5, 73, 36739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14366991713 and -0.1.\nAnswer: -14366991713.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-4)\/(-5))*75\/30.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41063 or -944441\/23?\nAnswer: -944441\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 5:12 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 354279, 354225, 354139, 354027, 353895, 353749, 353595?\n\"Answer: f**3 - 22*f**2 + 5*f + 354295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10723757 + 10876243 = -3*s. What is s rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*t**3 - 38*t**3 - 30*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + p = -4*p - 394, -4*p = 8. What is the tens digit of (1 + -4)\/((-18)\/o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 2. Let v be m(3). Let i(l) = l**3 - 12*l**2 + 6*l + 3. Let o be i(v). Round o to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 97759718005 - 1332660475064855\/13632. Let g = -3\/4544 + b. Let z = -57 + g. Which is bigger: z or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 1. Suppose 4*r + 37 = 13. Let o(m) be the first derivative of 13*m**3\/3 + 5*m + 9072. Give r*f(d) + o(d).\nAnswer: 7*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118055089?\nAnswer: 17, 73, 251, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 710 = 1784. Suppose 6*o + 4*k - 480 = o, -2*k = -4*o + n. Suppose -o = 2*u - 6*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, -11, 691.\nAnswer: -11, -4, 1, 5, 691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, q: 1, a: 5, h: 1, n: 2}. Give prob of picking 1 q, 1 a, and 2 n.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8198308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 16\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276541 divided by 9.\nAnswer: -276541\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, d: 11}. Give prob of sequence adda.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-4 + 5)) + 4 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 23, 2\/85, 0.3?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3, 0*u - 2*u + 8 = 2*l. Suppose -4 = -3*o - g, -g - 2*g - 18 = -o. Suppose -2*b + 6 = 4*r, -o*b + 2*r = -0*b - l. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245\/70 + (-3)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a day in hours?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 1, 5, 0, 1880, -2 in increasing order.\nAnswer: -45, -2, 0, 1, 5, 1880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*n + 4. Solve 9 = n*a - a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9898209942 divided by 6?\nAnswer: -1649701657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**7\/840 + 7*q**6\/720 + q**5\/30 + q**4\/4 - 9*q. Let n(j) be the third derivative of t(j). Is 12 a factor of n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -145*d**7\/14 + 17*d**4\/12 + 13*d**3\/6 + 12*d - 1. What is the third derivative of w(m) wrt m?\nAnswer: -26100*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1516535887\/20 + -75799769. Suppose 7*l + 81093 = 4*l. Let p = l + t. Find the common denominator of p and -67\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 - 22*n - 1. Let h be i(5). Suppose -434 = h*d - 2814. Calculate the remainder when d is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 68. Let u = r - 28. Suppose 3*h + 30 = 3*k, 1 + u = -k + 4*h. What is the highest common divisor of 60 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o. Let y(i) = i - 42. Let w be y(44). Let p(b) be the third derivative of 0 - 1\/10*b**5 + 0*b**4 + 0*b + 0*b**3 - 6*b**w. Give r(p(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6.6*-0.1\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + d**2 + 68*d + 78. Give y(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 = 7. Put c, 0, -4 in increasing order.\nAnswer: c, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w. Suppose 4 = -66*d + 68*d. Let i(s) = -13*s. What is d*i(l) - 5*o(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1546, -3154, -4818, -6562, -8410, -10386, -12514?\nAnswer: -14818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.7? (a) -0.3 (b) 1\/5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) -0.13 (c) 1\/3 (d) -4\/7 (e) -33213\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 5 + 3 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303530 is divided by 1111?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3257 - 3202. Solve 5*t = 16*t - y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1664 = -f - 12*f. Let i be (-8)\/(-52) + (-3)\/(39\/f). Suppose 15*x = i*x. Solve x*z = z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/288460 and 73\/4?\nAnswer: 288460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/71, -1\/8, -4, -5, 89, -2?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.06114 or 13?\nAnswer: 0.06114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*y - 409*y - 34*y - 265*y + 1176 - 1178.\nAnswer: -632*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*u + y, -y - 2 = u - 1. Let a be (-75)\/(-7) + u\/14. What are the prime factors of (-8 + a)\/((-6)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36367 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**5 - 782*a**4 + 415*a**2 - 1759279*a?\nAnswer: -20*a**3 - 9384*a**2 + 830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5050571, -5050570, -5050569, -5050568, -5050567, -5050566?\n\"Answer: i - 5050572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.96 + 0.04. Let l = -12 + 22. Let q = -12 + l. What is the closest to -1\/3 in s, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 73 + -2 + 1. Let l = -45 + t. Calculate the remainder when l is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 920 = -4*w + 4068. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-2)*6\/1. Is (-690)\/(-9) - 2\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66546 divided by 33273.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvd when three letters picked without replacement from {v: 6, d: 6}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:50 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5464*y**3\/3 - 590114*y**2\/9 - 590120*y - 72.\nAnswer: -2*(y + 18)**2*(8196*y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2512 by 16.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/5)*b**(-3))\/(b**(5\/9)\/b**(-1\/3)) assuming b is positive.\nAnswer: b**(-211\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/15929 and -103\/477870.\nAnswer: 477870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-25 + -2)) + -6 + 22 + -23 + 10?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - (-5044756)\/36) + (-54)\/486 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 471 + -48813?\nAnswer: -48332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1121 = 6*i + 46*i - 237 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = v. Suppose 4*k + 12 = 0, 2*s - v*s = -3*k - 27. Let m = s + -5. What is the lowest common multiple of 2 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20519644 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**2\/6 + 970525*w\/6 + 1293980 = 0.\nAnswer: -194097, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 324 = 852. Let n = -103 + z. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 11:28 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4321 + -4295. What is the greatest common factor of 13598 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((4 + -4*(sqrt(17) + 0))*-5 - (3*((sqrt(68) + sqrt(68)*1 + sqrt(68))\/sqrt(4) - sqrt(17)) + -1)))**2.\nAnswer: -4788*sqrt(17) + 33237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by (0 - 1)\/((-7)\/77).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 2:56 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 513692354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 9*y - 15. Let i be 29\/(-87)*y\/10. Is i greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*g + 4, -5*k - 2*g + 3 = 5. Let i be k\/(-10) - (-76)\/(-5). Is i\/10*(-2 + (-230)\/3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 81 and 10683?\nAnswer: 96147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143 - 33*t + 143)*(-72*t - 88*t - 7 + 122*t).\nAnswer: 1254*t**2 + 231*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/17 - 16*s\/17 - 18.\nAnswer: 2*(s - 17)*(s + 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**5\/7 - 258*g**4\/7 + 1336*g**3\/7 - 552*g**2\/7 - 2144*g\/7 = 0.\nAnswer: -134, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2830, -5779, -8856, -12055, -15370, -18795, -22324?\n\"Answer: c**3 - 70*c**2 - 2746*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 64*r**2 + 12 + 72*r**2 as o*r + a + c*r**2 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0, -41, 5, -4, -5\/7, 0.2?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7236002, -14472006, -21708010, -28944014, -36180018, -43416022?\nAnswer: -50652026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*c + 4*c + 11637 - 11626 - 26*c - 9*c)*(3*c**4 - c**4 - 3*c**4).\nAnswer: 61*c**5 - 11*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 969 and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2694 - 2199. What is the remainder when p is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6 + 0*o**2 + 7*o + 0*o**2 + o**2 + 0. Determine s(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 8:48 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70846703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-6*sqrt(567)*1)**2 + sqrt(567))*4 + sqrt(567)*-1*-2 + 3).\nAnswer: 270*sqrt(7) + 408255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 757\/7 + -108. Which is the nearest to 0.2? (a) 1 (b) d (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/6)\/(1\/3). Let f be (k - -2)*4\/(-12). Is f < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1153 and -1157 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - c - 12)*(0*c**3 + 0*c**3 - c**3) + 4*c**4 + 3*c**4 - 5*c**4 + 9 in the form k*c + r + d*c**4 + z*c**2 + m*c**3 and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:46 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -8403418 in decreasing order.\nAnswer: 3, -4, -8403418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 332534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*v - 0*v + d, -3*v + 5*d - 18 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -175\/38148 and 113\/2992?\nAnswer: 152592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.5 and -0.00288.\nAnswer: -0.01584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 1177 (c) 2\/3 (d) 5\/2 (e) -0.7 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437.\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3485*x**2 + 62717*x + 98. Give m(18).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -22 - (-1 + 1) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(1\/22))\/(b*((b\/(b**(2\/3)*b)*b)\/b)\/b))\/(b\/(b\/(b*b**(-3)))*b)**(24\/7))**(-14) assuming b is positive.\nAnswer: b**(-2375\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2464156.\nAnswer: 2, 61, 10099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**2 + 14*s**2 - 1 + 3 + 7*s**2 - 17*s + 0 to the form j*s**2 + x*s + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from heddwbbbhzbdhh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y + 42. Let j(o) = 12*o - 90. Let d(u) = 6*j(u) + 13*n(u). Let a(k) = 15*k + 13. Give 6*a(g) - 13*d(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (114 - 173) + (59 - 50)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2943 + 1257?\nAnswer: -16ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -2, 7, 10 in ascending order.\nAnswer: -9, -2, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 216 + -215. Sort -2134, 5, 0, f in ascending order.\nAnswer: -2134, 0, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/21*(-12)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 + 0*w**5 + 2*w**5 + (-2 + 2 + 2*w**4)*(0*w - w + 0*w) + (3*w**3 + 6*w**3 - 3*w**3)*(-5*w**2 + 3*w**2 + w**2).\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -20632268 less than or equal to -20632268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -477 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/2464 and (4\/(128\/231) - 2) + (21 - 24).\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39448.\nAnswer: 2, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 3. Let y = -23 + 10. Let j = y - -8. What is the remainder when c(j) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 - -2)) + 12 + -15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249782 divided by 13.\nAnswer: -19214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300665*y - 56210 = 299935*y for y.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120219, -120220, -120231, -120258, -120307?\nAnswer: -120384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 2793.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 4*g**2 + 20*g + 7. Let x(i) = -i**3 - 3*i**2 - 17*i - 6. What is 4*t(s) + 5*x(s)?\nAnswer: -s**3 + s**2 - 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70020762257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 - 6 - a**3 + 4 + a**3 + a to the form k*a**2 + m*a + f*a**4 + t + u*a**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -19837 rounded to the nearest one hundred?\nAnswer: -19800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63242, 63139, 62858, 62309, 61402, 60047, 58154?\nAnswer: 55633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 14*z - 41. Solve -5*v - z = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyffymu. Give prob of sequence mfy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llg when three letters picked without replacement from hlghhglghglhygg.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 5*w**3 + 5*w**3. Let s = -17756 - -17757. Let i(v) = -4*v**3 - 3*v**2 + v. Determine s*i(b) + 5*x(b).\nAnswer: b**3 - 3*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 64321932*z + 128643880.\nAnswer: -4*(z - 16080485)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 898\/3 + -298. What is the common denominator of 64\/45 and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 31. Suppose 4*d - 2*s = -10, s + 25 = -d - 3*s. Calculate n(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-34)\/(-8) - 1\/4. Let r = q + -1. What is the third derivative of 3*h**6 - 2*h**2 - 2*h**6 + r*h**2 wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 61\/2 of a tonne?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*3 - 6\/3. Let s be 9*2\/15*5. Suppose -2*z + 3*z + j = 2, 3*z - j = -s. Sort 4, n, z in increasing order.\nAnswer: n, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -29. Suppose -11*r = -6*r + o. Is r at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154939 is divided by 171?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - s**4 - 7*s**3 - 7 - 2*s**4 + 5*s**3 - 5*s**3 + 0*s**4 - 2*s**4 + s**4 + (2 - 2*s**3 - 2)*(3*s - s - s) - s**4 + 0*s**4 - s**4.\nAnswer: -8*s**4 - 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2486 - -5383. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2706\/5775)\/(-41))\/((-4)\/20*-1*7).\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/6 (b) -20 (c) 5.9 (d) -3376 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2510 and 54695912.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3100 (base 8) to base 10\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 736, 2621, 5064, 7495, 9344?\n\"Answer: -95*v**3 + 849*v**2 + 3*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2.503661\nAnswer: 2.496339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 - 6 + 73*j**2 - 76*j**2 + 44.\nAnswer: -4*j**3 - 3*j**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27988711?\nAnswer: 73, 467, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wawttawtwtwt. Give prob of picking 1 t and 2 a.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -339937 and 270.\nAnswer: -91782990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s = 74780. Suppose 2*t = -4105 - s. What is t rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 10*i**3 + 60*i + 3. Let o(r) = 19*r**3 + 119*r + 5. Determine -3*o(y) + 5*z(y).\nAnswer: -7*y**3 - 57*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6116528?\nAnswer: 2, 11, 23, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/((-2430)\/9))\/(20\/(-18))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -203*q**2. Let l(f) = 2235*f**2. Determine 6*l(o) + 65*r(o).\nAnswer: 215*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2839102 and 272.\nAnswer: 22712816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -808?\nAnswer: 813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:15 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 628 and 2669?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37046130 rounded to the nearest 10000?\nAnswer: 37050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0.049.\nAnswer: -0.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 + 7 = -24*x - 2*t + 123, -2*t = 12 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/(-42))\/(3\/(-21)). Let z(a) = 2*a + 12. Let f be z(-4). Is k less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 30 = -5*y, 0 = 3*z - 2*y - 88. Suppose 7*l + z = 3*l. Is l\/(-2) + (1 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38968515 and 9540?\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5676859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -16 - -28) + -26 + 48 - 10?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4333149, -8666291, -12999433, -17332575?\n\"Answer: -4333142*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-96)\/120)\/((-2)\/10). Determine k so that -736*k**4 + 15*k**5 + 15*k**3 + 1415*k**4 - 757*k**z = 0.\nAnswer: 0, 1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onnznqbbnnnnooonn. What is prob of picking 1 z and 2 o?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 15*d**2 + 37*d - 47. Suppose 5*p = -5*m + 75, m - 39*p = -36*p + 23. Give i(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -472 divided by 253831.\nAnswer: -472\/253831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = 1 + 26 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(612) + (2*sqrt(612) + sqrt(612))**2) + (sqrt(17) - (sqrt(68)*4 + sqrt(68))) + -2.\nAnswer: 9*sqrt(17) + 16522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -119, 11, -1 in decreasing order.\nAnswer: 11, 7, 3, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 0 + -3 + (-9 - -15) + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -388304721*c**4*i**2 + 7*c**2*i**2 + c**2*i + 106544*c**2 + 3*i**2 - 5*i wrt c.\nAnswer: -9319313304*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 13*n**2 + 43*n + 30. Let j be i(-5). What is the greatest common factor of 72 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -457 - -456.58. Let a = -0.44 - 0.48. Let g = i - a. Sort g, 0, 2\/17 in decreasing order.\nAnswer: g, 2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10818 is divided by 383?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 3*l**2 + 3*l - 3. Let b be k(2). Let v be 1\/((-1)\/(b*6)). Calculate the highest common divisor of v and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228984530 rounded to the nearest one million?\nAnswer: -229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15 - -3)*4\/12. Let i(a) be the second derivative of 3\/10*a**w + 5\/4*a**4 - 1\/2*a**3 + 0*a**2 - 21\/20*a**5 + 0 - 2*a. What is l in i(l) = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1708768190, -1708768192, -1708768194?\nAnswer: -1708768196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 22547640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/120471 and -41\/1491987.\nAnswer: 19395831","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-1 + 5 + -3 - 6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -17*r**3 - 2*r - 1. Let t be b(-1). Suppose 2*l - 5*w = -312, -16*l + 294 = -t*l - 4*w. Which is greater: l or -152?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -47*a + 481. Let h be i(8). What is the highest common divisor of 770 and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25937 + -25936. Suppose 2*q + 129 = -3*x, 0*q + 291 = -5*q + 3*x. Let b be (-2 - 0) + q\/(-26). Is b != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxnxnnxxxxnxxxxnn. Give prob of sequence nnxn.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96316143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4633200 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 + 5*o - 6. Calculate v(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/3 - -4 - (30\/(-5) - -1). Let m(f) = f**3 - 4*f**2 - 10*f - 10. What is m(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-13)*(24\/4)\/144\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(6\/(-24) - 36\/(-16)). Suppose 0 = -6*d + 2*d. Suppose 0*b + 5*b = -3*z + 113, 4*b - z - 104 = d. Solve m*o - b = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-3 + 12) + 51977 - 10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 58.6. Let r be (-8)\/(-6) - 4\/(-6). Which is the third biggest value? (a) r (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -231*r - 2782. Let j be i(-12). Let o = -0.6 + 0.3. Which is the smallest value? (a) j (b) o (c) -4 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35572182999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(144))\/(2*sqrt(1152) + sqrt(1152) - sqrt(1152)).\nAnswer: sqrt(3)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132 by -20.\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 655957107 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 2 + 40*k + 0*k**4 - 11\/21*k**7 - 1\/10*k**5 - 1\/2*k**2 + 0*k**6 + 1\/6*k**3. Find the second derivative of j(p) wrt p.\nAnswer: -440*p**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(19) - (0 + sqrt(19))))**2 - 5*(sqrt(19) + 0 + sqrt(19) - sqrt(19)))*-6 - ((-2*sqrt(1539)*4 + sqrt(1539))*2)**2.\nAnswer: -301644 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -28\/45 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4\/3 + 320*k**3\/3 - 3710*k**2\/3 + 8860*k\/3 - 1824 = 0?\nAnswer: -171, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 2. Let h(i) = 6*i - 1. Let j be h(m). What is the greatest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**3 - 6*r**3 - 7*r**3 + 9*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 0)*(12\/(-3) - -3). Let s be 46 - ((f - 1) + -4). Let t = s - 28. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 399060?\nAnswer: 2793420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 22*t - 31. Let q be l(23). Is ((-4)\/(-8))\/((-2)\/q) + 539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*l + 1)*(-l - 5 + 5)*(799 - 190 + 131 + 1051) to u*l + t + w*l**2 and give w.\nAnswer: -3582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -13. Suppose 5*a - 4*a - 4 = w. Suppose -3*n = -2*n - a. Let c(l) = -l**3 + 2*l**2 + 6*l - 2. Determine c(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 11*y**8\/336 + 7*y**5\/30 + 10*y**2. What is the third derivative of l(p) wrt p?\nAnswer: 660*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (26 + -71 + (-1 - (-6 + 12)))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2736)*-2 + 4 + 4)**2.\nAnswer: -288*sqrt(19) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**3 - 5*t**2 - 15*t - 4. What is u(-4)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3063 - -3857. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 0.05. Which is the closest to 2\/5? (a) 0 (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.8 - 8.8. What is the third biggest value in l, -6, 0.5, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 - -86. Let y = 67 + b. Suppose -2*n = y*r - 134, 5*r = 7*r + 2*n - 62. What is the highest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**4 + 19*g**3 - 12*g**2 - 3. Let x(v) = -4*v**4 + 20*v**3 - 12*v**2 - 4. Let z(r) = 4*a(r) - 3*x(r). Let z(i) = 0. What is i?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 = 5*w, 2*i + 0*w = -4*w. Does 22 divide 166\/(-1 + (-4)\/4)*i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}