diff --git "a/data/dm_maths/full_data/231_11255.jsonl" "b/data/dm_maths/full_data/231_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/231_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange 3327*i**2 + 8552 - 8552 + 26752*i**2 to n + a*i + d*i**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*o*t**2 + 48*o*t - 1752*o + 20180*t**2 + 4*t + 11 with respect to o.\nAnswer: -14*t**2 + 48*t - 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4010*v - 4341*v = 993 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -40.47. Let c = 0.4573 + p. Round c to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*k = -14, 0 = -4*z + 2*k - 12 + 110. List the prime factors of (z - 1)*((-40)\/16 - -6).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59188 - -59186. Let l be (-8)\/30 - 6\/15. Let g = -0.2 - -0.1. Which is the smallest value? (a) l (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*n = -87 + 459, 0 = -2*n + 2. Let a(w) = 17*w**2 - 2. Let s(h) = 630*h**2 - 75. Calculate y*a(m) - 2*s(m).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 89 + 26 = 0. Let i(v) = 9*v**2 + 23*v + 8. Let u be i(q). Suppose -8*a = -3*a - 3*r - u, 3*a - 2*r - 2543 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/680 and (-341)\/6138 - 463\/1224.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 + 332832*m - 6923571264 = 0. What is m?\nAnswer: 41604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 221, 8, -3, 5 in decreasing order.\nAnswer: 221, 8, 5, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - 12*v - 24. Give o(-5).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s*s*s\/s**0*s)*s**(-2\/15)\/s*(s*s**(2\/5)*s*s)**(-15\/2)*(s**(-1))**30\/(s**(-5)\/s**(2\/7)) assuming s is positive.\nAnswer: s**(-11203\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -352 or -57?\nAnswer: -352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -44*b - 2. Let n(h) = -250*h - 5. Let j(i) = -n(i) + 6*p(i). Let a = 2 - 3. Does 2 divide j(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -24. Let l = 30.61 - -0.39. Let q = l + v. Is q <= 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18025 + -15439. Calculate the remainder when p is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 190 = -5*n - 75, 2*b + n = 119. Let o = b - 40. Let w be (-3)\/7*o\/6. Is 0 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/2)\/3)\/((-21310)\/(-375056)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1450, -3061, -5008, -7459, -10582, -14545?\nAnswer: -19516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + -1)*(-51)\/68. Differentiate -x*i**2 + 9*i**3 + 0 + 2 + 3*i**2 with respect to i.\nAnswer: 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -35. Let k = -14 - u. Calculate the common denominator of ((-290)\/(-36))\/(-1) + (-3)\/k and -73\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 - 2*b**2 + 37*b. Let j(i) = -i**2 + i + 1. Give -g(r) + 2*j(r).\nAnswer: -3*r**3 - 35*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/((a*a**(2\/3))\/a))**(8\/9)\/(a\/(a*(a*a*a*a**(-1\/9))\/a*a))**(-4\/7) assuming a is positive.\nAnswer: a**(-88\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4638?\nAnswer: 2, 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/69 and 157\/30.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 3252024570 to the nearest one million.\nAnswer: 3252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 38\/(-14) + (-4)\/14. Let f be 369\/126 - a\/(-1). Suppose -5*m + 5*z - 11 - 19 = 0, 2*m - 3*z = -17. Which is smaller: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7329, -14377, -21417, -28443, -35449, -42429, -49377, -56287?\n\"Answer: n**3 - 2*n**2 - 7049*n - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15\/418 + 1717\/1254. What is the smallest value in d, 2, -16, 0.1?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -22*u - 2. Let z be x(1). Let d = z + 44. Solve -p = -r - 4, r - 3*p = 6*r + d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**4\/4 + 5*s**3\/3 + 7*s**2\/2 - 5*s + 4684. Let q(f) = 2*f - 4. Let x be q(5). Let w = 12 - x. Determine v(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 42*n - 34. Let r(f) = -2*f + 1. Let l(b) = q(b) + 20*r(b). Give l(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -5\/106, 5, 3, -3\/4, 0.4?\nAnswer: -5\/106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(16\/(-52))*34\/(-85)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - 0.12. What is the second biggest value in 1\/5, u, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (sqrt(27) - sqrt(108)*5 - sqrt(27)) - (sqrt(432) + -2 + sqrt(27) + sqrt(27)) - ((-1*sqrt(735))\/sqrt(5) + -1))**2.\nAnswer: 132*sqrt(3) + 1461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.2421 to 1 dp.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 17*s + 135. Let g be m(23). Sort 815, -2, g.\nAnswer: g, -2, 815","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168855 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 4024?\nAnswer: 4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*n = n + 44. Let w(i) = -i**3 - 1. Let g(x) = -3*x**3 - 4. Determine n*g(c) - 4*w(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiidixdiiiiidiiiii. What is prob of sequence ddd?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*(-6)\/3. Is z at least as big as -4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (sqrt(66) - (sqrt(66) + sqrt(66)*-1))*-3 + sqrt(66))\/(sqrt(54)*-6) - (3*1*-2*(2 + sqrt(11)))**2.\nAnswer: -540 - 2591*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -1, -3, -2, 65491 in decreasing order.\nAnswer: 65491, 4, 3, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (283 - 300) + -15 + -4.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 19*f + 105. Let y be x(-5). Let q(u) = y*u - 7*u - u. Let z(b) be the first derivative of -b**3\/3 - 1. Give z(q(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 131, -63, -257, -451, -645?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89a159 (base 13) to base 4.\nAnswer: 30121113012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -383 times -18?\nAnswer: 6894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573)*2 + -2 - (sqrt(1573) + 2 + -1)) + 0 + -6*(sqrt(1573) + -2 + sqrt(1573)))**2*2 + 4.\nAnswer: -4356*sqrt(13) + 380832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*x + 16 + 91*x + 72 in the form a + f*x and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 657384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(833)*1 + sqrt(833) + -5*(sqrt(833) + sqrt(833) + (sqrt(833) - (sqrt(833) - (sqrt(833) - (sqrt(833) + 1))))) + sqrt(833) + sqrt(833))**2.\nAnswer: 29988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-14)*-20 + -15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119*t**4 - 16*t**3 - 14*t**3 - 18*t**3 - 20*t**3 + 66*t**3 + 475 wrt t.\nAnswer: 476*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -1\/20*p**5 + 0*p - 2*p**2 - 1\/2*p**3 + 0 + 1\/4*p**4. Factor g(u).\nAnswer: -3*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**4\/12 + 5*l**3\/3 - 25*l**2 + 386*l + 1. Let r = 29 + -43. Does 3 divide k(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0395319948 to 3 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -732.68295\nAnswer: -293.07318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2. Let o(l) be the third derivative of 31*l**5\/60 - 5*l**4\/24 + l**2 + 185*l. Calculate y(o(k)).\nAnswer: 961*k**4 - 310*k**3 + 25*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36344773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 53 = -14*a, 3*a = -5*v + 315 - 322 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 99*l**2 + 133*l + 4070. What is t(-49)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -732288 and -0.3.\nAnswer: 219686.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, d: 2}. What is prob of picking 3 e?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 2. Let j(s) = 4*s**2 - 26 + 2*s**2 + 16. Let a(f) = -j(f) - 5*k(f). Let l(o) = 6*o**2 + 2*o. Determine -5*a(g) - l(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4199*z - t = -4209*z + 162689, -5*t - 81385 = -5*z. What is the highest common divisor of 664 and z?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 5*z + 13, -5*t + 2*z - 86 = -68 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -306? (a) -1\/11 (b) 1\/9 (c) 14 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + k = 4*k + 2314, -2*k = -w + 2315. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6965?\nAnswer: 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 781511.1469 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/9)\/((-4)\/57). Suppose u - 101 = -i. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - 3) + (45 - 36).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2073135?\nAnswer: 3, 5, 138209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 758 - 736. Differentiate l + 265*s - 15 + 306*s - 117 - 761*s with respect to s.\nAnswer: -190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-295)\/(-4) - 3\/(-12). Suppose j - 6 = 4*v. Solve 4*m + v + 3 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327876 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*x + 40 = 0, 0 = 3*p - 5*p + 2*x. Suppose 3*q + 91 = -0*a + 4*a, -2*q - 10 = 0. What is the remainder when a is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 + 79 + (-35 - -24).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6324 and 360.\nAnswer: 189720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79217241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n*r**2*s**2 - 8*n*r*s**2 - 14*n*r + 5*n*s + 575*r**2*s**2 - 114558*r**2 - 20*r*s - 11*r + 27 wrt r.\nAnswer: 4*n*s**2 + 1150*s**2 - 229116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 22 = -v - 3, 2*c = -3*v + 73. Suppose 19*y - v = 18*y. Solve 0 = -23*w + y*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 76 (b) -0.5 (c) 1\/237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4130, 4203, 4276, 4349, 4422, 4495?\nAnswer: 4568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1371.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l + 2. Suppose -2*a + 56 = -40. Let h = a - 31. Let x(i) = -i + 12. Let z be x(h). Let p(u) = -4*u - 1. Calculate z*p(f) - 2*t(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p - 2. Let t be w(-2). Let g = 12 - t. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 753732782 - 753732771.26999431. Let v = -10.73 + w. What is v rounded to 7 dps?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (530\/6)\/((-11525)\/(-6915))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1210606)\/17385 - -69) + 6\/171.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.1967616 meters?\nAnswer: 0.0001967616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*p - n = 33*p - 488, 0 = -p + 2*n + 2 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3487 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = 4*s, -4*s + 960 = 3*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 6*z - 6 + 9 + 2 - z**2. Let g be m(6). Solve -p = g*u + 2*p + 20, -u - 3*p - 16 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019009 rounded to 5 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4266 + 5*v**2 - 4*v**2 + 3917 - 9059 in the form r + y*v + h*v**2 and give r.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*f - 44610, 32*s - 34*s - 2*f = -44596. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 2025457656?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 43*j**2 - 4*j + 7. Let o be y(3). Let z = -377 + o. What is the greatest common divisor of z and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -467 - 3436*u**3 - u**4 + 3436*u**3 + 2*u - 2*u - u**2 to s*u**4 + j + w*u**2 + g*u + v*u**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 226*c + 444.\nAnswer: 2*(c - 111)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209858 - -3245. Is p 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 1081589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1195 + 1191. Let s be 2\/(-4) + (-1055)\/(-414). Let d = 42\/23 - s. What is the closest to d in 2\/11, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -64. Let c = d - 4. Let y = c - 7. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*o - 220, 2*o + 3*z - 5*z = 214. Let n = o - 103. Suppose n*d - s = s + 98, -s = -4*d + 79. Solve -5*g + d = 0, -4*u = -u + g + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (135\/(-36))\/(2\/(-8)). Is 5 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -298\/37 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -1715 + 11. Is 71 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*w**2*x - 151169*g*w - 45*g*x + 21*w**2*x - w**2 - x wrt x?\nAnswer: g*w**2 - 45*g + 21*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 542 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 107764 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**4\/2 - 6*n**3 - n**2\/2 - 13*n + 102. What is the second derivative of s(o) wrt o?\nAnswer: 12*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117235733, 117235737, 117235743, 117235751?\nAnswer: 117235761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**6*y*y)\/(y\/y**(2\/7)))**42 assuming y is positive.\nAnswer: y**306","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - (44 - 40) - -19.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h + 4. Suppose 2*p - 6*p - 2*p = 0. Suppose 4 = c - p*c. Let m(i) = -3*i + 4. Give c*m(o) - 5*n(o).\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 - 27196*m\/3 - 184905604\/3.\nAnswer: -(m + 13598)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 + 7*g - 5. Let p(y) = 3*y**3 - 48*y**2 + 192*y - 32. Let o be p(9). Let x(l) = 3*l**2 - 6*l + 5. What is o*v(j) - 6*x(j)?\nAnswer: -3*j**2 + j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*z + 37391 - 32997 = 0 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - h**2 + 6. Let n be c(3). Let v = n - -33. Suppose -v*b = -5*o - 116, -5*o + 0*o - 158 = -4*b. Does 19 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/65, -0.2, 0.4, -10, -4\/5, -22, 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4569.\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46624957 a multiple of 661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**5\/300 - v**4\/24 - 2*v**3\/15 + 3*v**2 + 7*v. Factor w(c).\nAnswer: -(c + 1)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 10*l - 10. Let m(z) = -z**3 - 7*z**2 - z + 2. Let q be m(-7). Let d be y(q). Is d + 15 + 1 + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-186)\/(-183) - 1). Let u be 2 + (0 - 0 - z). Let c = -15 - u. What is the greatest common divisor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/1*(-6)\/(-5). Find the third derivative of 2*o**k - 4*o**6 - 2*o**6 + 0*o**6 - 7*o**2 wrt o.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16687108703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6423344250 plus 0.2?\nAnswer: -6423344249.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (0 - (0 + 0)). Let n(g) = -9*g**2 - g. Let u be n(-4). Let p be u\/1035 - (-2)\/9. Is q bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w + w + 9*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - 5*v. Let j be w(-4). Solve -q = 2*m - j, 2*m = 3*m - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5492 - -5474. Which is bigger: 19 or t?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -855 + 858. Differentiate -16*w + 15 + 25*w**2 - v + 8*w + 4 + 6*w wrt w.\nAnswer: 50*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9451077?\nAnswer: 3, 1277, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**5\/5 + 7*k**4\/4 + 11*k**3\/3 + 5*k**2\/2 + 839. What is g in d(g) = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212901 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.10743, -41, -1?\nAnswer: 0.10743","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 15 = -0*w - 2*p, 3*w + 4*p - 47 = 0. Solve w = -5*l - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -12\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2423\/5 + -483. Let m = -76\/85 + 22\/17. Factor u*o + m*o**2 + 8\/5.\nAnswer: 2*(o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -214 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 372 and 61722.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 13. Let k = 19 - x. Suppose 2*b - k = 3. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-66 - 99)*(-3 - 1\/(-1)). Find the first derivative of -46 - 50*p**4 + 330*p - s*p wrt p.\nAnswer: -200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 0)*(0*a + 4*a - a)*(2*a - 2*a - 3*a).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.45 - -23.4. What is s rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 7*q**3 + 2*q + 6*q - 3*q - 6*q. Let d(u) = u**2. What is d(m(x))?\nAnswer: 1764*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 3*l + 11, 5*l + 3444 - 3463 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckuo when four letters picked without replacement from {c: 2, k: 2, u: 3, o: 1, t: 9}.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.74 - 1.26. Let b be 5\/(-4) - (-2)\/8. What is the nearest to b in -2\/7, y, 1\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlxl when four letters picked without replacement from {e: 3, x: 4, l: 3, j: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (2 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 8) in base 11?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10000011?\nAnswer: -10001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**5\/12 + 35*z**4\/24 + 20*z**3\/3 + 89*z**2\/2 + 2*z + 84. Let q(b) be the second derivative of g(b). Factor q(c).\nAnswer: -5*(c - 8)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18891511?\nAnswer: 401, 47111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143125176?\nAnswer: 2, 3, 17, 19, 37, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21171*l = 21136*l - 1645 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5375.38 rounded to the nearest 10?\nAnswer: 5380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**7\/1155 - 9*i**6\/220 + 38*i**5\/55 - 196*i**4\/33 + 320*i**3\/11 - 594*i**2. Find q such that j(q) = 0.\nAnswer: 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 106288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 37. Let d(c) = c**2 + 2*c - 4. Let n be d(-4). Calculate the greatest common factor of n and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(99) + sqrt(99)*-2 - sqrt(99)) + 2*2*sqrt(99))\/(sqrt(1296) - -2*-5*sqrt(1296) - sqrt(1296) - sqrt(1296)).\nAnswer: sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c. Let p(x) = 144789225*x. What is p(v(w))?\nAnswer: 434367675*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*c = -6, 4*f - c + 5 = 15. Suppose -r = 4*r - b - 11, 0 = -2*r + f*b - 2. Is 9020\/80 - r\/4 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11316 + -11317. What is the nearest to t in 0.2, 16, 270?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 174 in 0.2, -10, -41?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -7*f - 65, -955 = -2*f - 2*h - 977 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8850879227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 800 to the nearest integer.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51133153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 78?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 102595 times -0.3\nAnswer: -30778.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfa when three letters picked without replacement from {m: 2, f: 1, d: 1, y: 4, a: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 - -37.8. What is the second smallest value in 6\/7, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 8) in base 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13076 - -29285. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -0.1, 3, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/7)\/s**(-2\/7))**(-28) assuming s is positive.\nAnswer: s**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4030 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/28890 and -41\/1926?\nAnswer: 28890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2259 - 1234. Suppose -4*t + 4*b + 2947 = -q, 0 = -4*t - 2*b + 3978. What is the tens digit of (-8)\/44 + t\/22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 269\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15315 = -762*c + 18975 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 7*d + 2. Suppose 0 = -4*r - 3*c - 7 + 15, -5*c = -3*r - 23. Let i = -7 - r. What is the remainder when q(i) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9\/4)\/k**(-8))\/(k\/k**(-2\/25)*k**45*k) assuming k is positive.\nAnswer: k**(-4133\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191167978 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 5*2\/45. Which is the smallest value? (a) w (b) -1 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4155 - -4155. Factor t - 3\/2*d**2 + d.\nAnswer: -d*(3*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -14129*i**3 + 11*i**2 + 12*i + 13. Is r(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (32\/1984)\/(1\/4). What is the smallest value in 0, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-65)*20\/(-12)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 - 2*d**4 + 2*d**4)*(7*d + 5*d - 3*d).\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -33. Let s = t - 1. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596 = -95*l + 26 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*o**2*u**2 + 8507518*o**2*u + 203263332*o + 2*u**2 wrt o?\nAnswer: 22*u**2 + 17015036*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*i - 191 = -235*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 48862.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - v = -2 - 5, 0 = -2*q + v + 8. Suppose 4*l + 2 = q*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2 - 5 + 0 + u**2 - 3*u. Let f be t(5). Suppose -25 = f*z + 2*z, 4*z - 40 = -2*m. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10200224?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0550559 weeks in microseconds?\nAnswer: 33297808320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55487?\nAnswer: 55487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, p: 1, e: 1, j: 3, b: 2}. Give prob of sequence jph.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274 - 198. Calculate the common denominator of 53\/56 and -3*p\/(-210)*5\/(-7).\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 246, -367, -1558, -3519, -6442?\nAnswer: -10519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**6\/12 - 85*i**3\/3 + 95*i**2. Let l(r) be the first derivative of m(r). Let p(k) = -k**2. Determine p(l(b)).\nAnswer: -900*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9005 - -9132.41. Let w = -128 + t. Let g = -0.594 - w. Round g to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by 1\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 5:38 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/49530 and -67\/99060?\nAnswer: 99060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + 2*u)*(-3 + 3 - 3) + 0*u - 6*u + 3*u + 65*u - 320*u + 14 - 15.\nAnswer: -264*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 5*o + 6. Solve -10 = -o*c - a - 3*a, -26 = 3*c - 5*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k + 6. Let z be w(-6). Suppose 4*h = -j + 625, h - 45 = j + 110. Let q(m) = -76 + 3*m + h - m**2 - 5*m - 85 - 5*m. Calculate q(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257029205?\nAnswer: 5, 17, 41, 131, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40.90686 - -40.93. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 7:58 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 3*y - 2*y + 4*y**2 + 22*y**2 + y**2 + 107*y**2 + 2*y**2 + 1 - 1 - 5*y**2 + 2*y**2 + 2*y**2 + (0 - 5 + 3)*(-y**2 + 5*y**2 - 2*y**2).\nAnswer: 128*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 156\/8 - (2 - 1). Let o = 18 - t. Is 4\/5 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-6))\/((-6)\/(-3)). Which is the closest to -1? (a) f (b) -2\/23 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = -13*x + 60*x + 52*x - 5148 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 12:55 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d + 31 + 6*d + 1. Suppose 3*f - 5*f = 0. Let j be v(f). Calculate the greatest common divisor of 48 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -w + 13, -2*w + 73*d = 74*d - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/8)\/5*16\/(-36).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7.753, -0.4, 0.00675?\nAnswer: 0.00675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 2862\nAnswer: -2861.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) 5 (c) 0.1 (d) -1081 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 49*y + 1. Let s be 1\/(-8) + (189\/24)\/7. What is q(s)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t**2 + 12. Let r(w) = 2 - 1 + 0 - 2. Let y(x) = -q(x) + 3*r(x). Differentiate y(c) with respect to c.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, 0, -920.\nAnswer: -920, -11, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -2*d - 45. Which is the nearest to d? (a) -25 (b) -2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 2\/5 (b) -4 (c) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110*h**2 + 169?\nAnswer: 220*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.240032 millilitres in litres?\nAnswer: 0.000240032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 592809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*v - 2327 = 7598 - 1484 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 5:51 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 89549574047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 614 = 618. What is the highest common factor of 28 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 13*l**4\/4 - 13*l + 21. Differentiate j(v) with respect to v.\nAnswer: 39*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 36*k - 288 = 0. Let z(t) = -t**3 - 10*t**2 + 28*t + 28. Let d be z(-12). Is d less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51274 * 1924\nAnswer: -98651176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*v**3 - 15*v**5 - 34*v**3)*(-349 - 975 - 152) + (3*v**3 - 1 + 1)*(2*v + 2*v**2 - 2*v).\nAnswer: 22146*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -48728, 6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -262 < -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -293 + -0.227?\nAnswer: -293.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -15*j. Let n(o) = 12 - 6 + 5*o - 6. Let q(b) = -9*b. Let v(i) = 7*n(i) + 4*q(i). Calculate v(k(h)).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1, 0.5, -0.5, 4\/21, 0.1 in descending order.\nAnswer: 9, 0.5, 4\/21, 0.1, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36b8 - -73?\nAnswer: 376b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccchchhchccccchc. What is prob of sequence hhhh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2774687, -5549280, -8323873, -11098466, -13873059, -16647652?\nAnswer: -19422245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 1)*-4*-2 + 2*(-4 + sqrt(1088) + 0))**2.\nAnswer: 108800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 28*b**2 - 4*b - 114. Let c be a(-28). Put 5, c, -27, -15 in descending order.\nAnswer: 5, c, -15, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11818 + -11816. Which is the second smallest value? (a) -1 (b) 0.9 (c) 7 (d) -0.3 (e) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = 2*z + 59. Let d be 1\/3 - z\/(-9). Let q be 1\/((d\/(-6))\/(-3)). Which is smaller: 2\/3 or q?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and 19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 59196033.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53d (base 14) in base 13?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2, -4, 14, -3\/2, -0.28?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q + 72. Let b be (-8)\/(-6)*q\/1. Let l(y) = -3*y**2 + 3 + 1 + 0 + 4 + 10*y**2. Let m(v) = v**2 + 1. Determine b*m(c) + 3*l(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1990313 take away 0.044?\nAnswer: -1990313.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 5. Let r(o) = 1. Let m(z) be the first derivative of -z + 8. Let k(c) = -4*m(c) - 5*r(c). Suppose -4*d + 32 = -12*d. Calculate d*k(i) - p(i).\nAnswer: 4*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**(1\/54)))\/(s\/(s\/(s*s**(-32))*s*s)*s)*(s**(13\/2))**(7\/3) assuming s is positive.\nAnswer: s**(1246\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkjjjjjjjjjtntcjjjjj. What is prob of sequence tncj?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 12. Let t be d(9). Suppose 902 = t*n - 58. Suppose 2*r - 374 = n. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 - 1)*(2*h + 2*h - 6*h) + 3*h - 5*h + 0*h + 2*h + 1 + h - 4*h)*((-2 + 1 + 2)*(h + h - 4*h) + 3*h - h - h - 18*h - 12*h - 4*h).\nAnswer: -35*h**2 - 35*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2224 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2660\/49 - 8\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4 + 1470\/14)*(-3)\/(-3990) and -107\/1064.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 1. Let m be z(6). Let q = -11 + m. Sort q, -5, 1 in increasing order.\nAnswer: -5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-6) + (-28)\/210)*(2 + 8). Solve t = 12*i + 116 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1427115?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*x**2 + 1 + (3*x + x - x)*(14 + 33 + 237*x - 239*x).\nAnswer: -4*x**2 + 141*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 + (-16)\/4 - (-2 + -2). Let h be (7 + -6)\/((-2)\/p). Suppose h*y = 20, -2*q + q = -2*y - 2. Solve -2*k + q = 3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, 5, 0 in descending order.\nAnswer: 5, 0, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2362121 to the nearest 1000.\nAnswer: -2362000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -78, 1, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28136*j - 61411*j + 28297*j to the form h*j + u and give h.\nAnswer: -4978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4057 - 3715 = 29*x. Let l = -232 - x. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**4\/12 + 3*c**3\/2 - 2*c**2 - 23*c. Let j(d) = 2*d - 1. What is 2*i(a) - 9*j(a)?\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*u = -0*o - 11, 3*u - 12 = -3*o. What is the remainder when 7 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68169 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 3*o - 8. Let p be m(-9). Suppose -4*v + 3*t + 68 = -t, 4*t = -4*v + p. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (5 + -2 + sqrt(6912) + sqrt(6912) + sqrt(6912) - sqrt(6912)) + -3)*5)**2.\nAnswer: 14400*sqrt(3) + 691425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.1285 take away 4?\nAnswer: 31.1285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 616, 1230, 1844, 2458, 3072?\nAnswer: 3686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b - 4. Solve 3*n - 4 = -2*f, -2*f + b = 5*n - 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205632342, 205632341, 205632340?\nAnswer: 205632339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + -2 + (-2 + -1 + sqrt(192))*-4)*-5.\nAnswer: -480*sqrt(3) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1*42)\/((6069\/34)\/(-119))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5865527*14\nAnswer: -82117378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2016 and 128096.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4193 or 4188?\nAnswer: 4193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1613, -1, -41059 in increasing order.\nAnswer: -41059, -1, 1613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Suppose j = r*i - 6, 2*i + i - 16 = -5*j. Suppose -3*d = -j*u - 6, 0 = -d - u + 2*u + 2. Solve -d = -5*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4582 and -42?\nAnswer: -192444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/28 (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4008.705ml to litres.\nAnswer: 4.008705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4\/7 + 1954922*r**3\/7 + 477721845414*r**2\/7 + 477708161058*r.\nAnswer: 2*r*(r + 7)*(r + 488727)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -14. Suppose -2*o + 2*c + 98 = 0, -n*c - 188 = 3*o - 7*o. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206*h - 1 - 6 + 0 - 208*h wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 8) to base 11\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, j: 2, i: 5}. Give prob of sequence jj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4 - 0. Let f be (4 - 1)*q\/3. What is the second biggest value in f, 0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249055.\nAnswer: 5, 49811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p\/(p*p\/(p*(p*p\/(p\/p**0))\/p*p*p*p*p)*p))\/p*p*p**(1\/2))\/(((p*p*p*p\/(p*p*p**(-10)*p*p*p))\/p*p*p*p)\/p*p**1) assuming p is positive.\nAnswer: p**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 7*o + 9 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-4))\/(16356\/(-94))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1593921.\nAnswer: 3, 7, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + j**2 - 5. Let o(n) = n**2 + 5*n - 2 + 14 - 8. Let w be o(-2). Let v(d) = -2. Let h be -1 + (8 - 0) - (13 - 11). Give h*v(c) + w*a(c).\nAnswer: 2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 9*h - 6. Let u be c(9). Let b = u - -8. Suppose b*d - 4*i = 68, 3*i = i. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 243.8 - -60.2. Let t = -320 + g. What is the biggest value in t, 3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(186\/(-108)) + 3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1402, -2704, -4016, -5344, -6694?\nAnswer: -8072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -1374019?\nAnswer: -1374024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 6:35 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31240 and 621280?\nAnswer: 44110880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - l = 2239, s = 3*s - 2*l - 254. What is the highest common divisor of s and 5676?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -55?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21320 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1444 and 1063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 11:02 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = 0. Let f(s) = -s**3 + 6*s**2 + 4*s - 1. Let q be f(7). Let h be 18\/q + 4 + 2\/(-11). Solve l = -0*g + h*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -269*d**3 - 19?\nAnswer: -807*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/7)*v**(-2\/15)*v**0\/v**(-3\/7) assuming v is positive.\nAnswer: v**(61\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314173.64 rounded to the nearest one hundred?\nAnswer: 1314200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 5 - k**3 + k + 0 + 0 - 2*k**3 + (-1 + 1 + 2*k)*(-1 + 2*k**2 + 1).\nAnswer: k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-23 - -70) + -31 + -44?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*t - 24, -6*g + g + 20 = 0. Sort t, -1, 0.\nAnswer: t, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**6 + 1313*h**3 - 2*h**2 + 9*h + 18?\nAnswer: -240*h**3 + 7878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 39397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -786*d. Let v(i) = -13*i. Calculate f(v(z)).\nAnswer: 10218*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 11483*x**2 - 63 + 19 + 10 + 15 to the form k + j*x + p*x**2 and give p.\nAnswer: 11483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*k - 3*x = -1947, -5*x + 1947 = 3*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260475824 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*10\/(-25)*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40 + 44 - 84 - 5*r**2 + 28*r**5 wrt r.\nAnswer: 1680*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*h**5 - 1 + 20*h - 20*h - 32*h**5 + (2 - 2 + 10*h**3)*(4*h**2 - 3*h**2 + h**2).\nAnswer: -14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2*v = -5, 6*v = 4*l + v + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (166953\/39 - 0) + 2 + 36\/234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 24*k - 25*k. Solve 0*v + 9 = -k*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 20*d**2 - 19*d.\nAnswer: -d*(d - 19)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 1 + -2 - (sqrt(128) - (-1 + 1 + sqrt(128))))**2.\nAnswer: -16*sqrt(2) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 9*v + 45 = 0. Is (-1076)\/(-12) - (-6)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 4*a**2 - 5*a. Let l be -10 + 5 - 6 - (-6 - -2). Let y(u) = -u**3 - 7*u**2 + 9*u. Suppose -1 = -2*v - 9. Give l*o(k) + v*y(k).\nAnswer: -3*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24097360 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*t*u**4 + 34*t*u**2 + 9*t*u - 5*t + u**4 + 3*u wrt u?\nAnswer: 48*t*u**2 + 68*t + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 1306 + 1306.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3604 or -501?\nAnswer: -3604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**4\/4 + 13*i**3\/3 - 7*i**2\/2 - 7*i + 4. Is n(12) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.866 - 0.242. Round l to 2 decimal places.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1990608 and 1695.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2929 = -2259. Let j = -678 + o. What are the prime factors of j?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.51 + -0.08704.\nAnswer: 2.42296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 528 = -12*r. Calculate the remainder when r is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1505, -1719 in increasing order.\nAnswer: -1719, -3, 1505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-6) + 4\/6. Let b(p) = -p**2 + 7*p - 7. Let z be b(l). What is the units digit of z + -1 - (-15)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -16*j. Let l(w) = 5*w**2. Calculate b(l(r)).\nAnswer: -80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 2*k + 2*k + 126, -1106*k + 1111*k + 64 = -2*j for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*t = -3, 3*g + 3*t = 4*t - 1. Suppose g = 18*p - 12*p - 24. Calculate the highest common divisor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9635\/(-3) - (-8)\/12. Let c = x + 19397\/6. What is the common denominator of c and -3\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447, -1708, -3781, -6666, -10363, -14872, -20193?\nAnswer: -26326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = 2*m, -4*d + 11 = 3*m - 5. Factor -247*w**3 - 19*w**2 - 6*w - 2*w + d + 240*w**3.\nAnswer: -(w + 1)*(w + 2)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -10 + 0 + 6 + 5 - -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c*c**(1\/6)*c*(c**(-2\/7))**(5\/11))**(-6\/25) assuming c is positive.\nAnswer: c**(-3251\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.4 - 9.4. Let z = 11.2 - 11. Let j = 0.06 - 2.06. What is the second smallest value in z, j, s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + -43?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (6 - 12) + 9 + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203, -1, 9, -3 in decreasing order.\nAnswer: 203, 9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 35 = 3*s, 3*m - 4*s + 28 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, k: 1, u: 4}. What is prob of picking 3 u?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.015 + -0.001. Let u = t - 32.984. Let m = u + 33.0000248. What is m rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 - 12. Let c = -49 - z. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -442*w**4 + 872*w**3 - w**2 + 440*w**4 - 2*w - 102 - 876*w**3 in the form v*w**3 + q*w**4 + u + r*w**2 + j*w and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 10 - 25 - 19 + 1918*t - 17.\nAnswer: 1918*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:09 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v = -6258. Let f be v\/(-9) - (-22)\/99. Suppose -5*r + f = -198. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c + 10. Let o(v) = 10*v - 21. Let q(x) = -5*l(x) - 2*o(x). Let j(i) = -3 + 2*i + 0*i + i - i. Calculate 8*j(z) - 3*q(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -129034, -516367, -1161946, -2065765, -3227818, -4648099, -6326602?\n\"Answer: q**3 - 129129*q**2 + 47*q + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/12*(-36)\/45?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5597\/4200 - -1\/1400. Let h = -6 - -2. What is the nearest to h in 0.5, w, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 - 109. Which is the closest to i? (a) 2\/5 (b) -5 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 6*z + 13*z**2 + 4 - 12*z**2. Let u be m(7). Factor 0*o**3 - 19*o**2 - 3*o + 16*o**2 + 0*o**3 + 3*o**u + 3*o**3.\nAnswer: 3*o*(o - 1)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 + 92 = 22*p. Let u = -52 - -76. What is the remainder when u is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u + 42537 = -114896 + 43133. List the prime factors of u.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**3 + 3*d**2 + 4*d + 1. Let t(k) = -4*k**3 + 4*k**2 + 3*k. Calculate 2*b(l) - 3*t(l).\nAnswer: 2*l**3 - 6*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*m - 26 = 0, 6 = 2*m - 4. Let b be (-20)\/(-5) + 14 + q. Solve 3*d = -4*f + b, -2*f = 3*d + 3*f - 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 2*q**3\/3 - 1. Suppose 0*x - 48 = -4*x - 5*p, -3*x + 67 = -4*p. Let d(u) = -2*u + x - 17. What is y(d(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 63, -0.34, 2?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 p, and 1 j when four letters picked without replacement from gjgzppjz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 5, -29.\nAnswer: -29, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.04 or -122060805?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(77) - (sqrt(77) + (sqrt(77) - (1*sqrt(77) - sqrt(77))))) - sqrt(77))\/sqrt(11).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 3*s - 3*s**3 - s**3 - s**3 in the form b*s**2 + r*s + z*s**3 + a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18949295 times -0.5?\nAnswer: -9474647.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58\/3 - -19. Let t = -35084 + 35065. What is the smallest value in -3\/5, t, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -449 = 5*l + 701 - 1615 for l.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 174?\nAnswer: 1\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + r**2 + r**3 + (-2*r**3 - r**3 + 7*r**3)*(0 - 2 + 0) + 3*r**3 - 21918 + 0*r**3 + 22089.\nAnswer: -4*r**3 + 171","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1125, -1278, -1537, -1902, -2373, -2950?\n\"Answer: -53*h**2 + 6*h - 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1047245 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330432 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475323321 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - -1.6. Suppose 13 + 22 = 5*h. Let x = 11 - h. What is the closest to t in x, -2\/9, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 0 = 55 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -5*r**3\/6 - 12*r. Let m(w) = 10*w**2. Give v(m(q)).\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 3*u**2 - 3. Let l be t(3). What are the prime factors of -4*(0 - l\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*((sqrt(99) + sqrt(99) + -1)**2 - sqrt(99)) - sqrt(99))*-6*-4.\nAnswer: -3024*sqrt(11) + 76224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.4 * -12.\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19349272 is divided by 345?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 - 14*d - d**2 - 3*d**4 + 15*d to the form o + a*d**2 + f*d**4 + j*d + l*d**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 g, and 1 p when three letters picked without replacement from pgpdgrg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11884 and 0.42.\nAnswer: 4991.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-7)*54\/(-54).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -30?\nAnswer: 2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -6*q + 14. Put 5, -1, q, 3 in descending order.\nAnswer: 5, 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*l - 1232 = 75*l. What is the greatest common divisor of l and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3\/7, 0.2, 74137, 0 in decreasing order.\nAnswer: 74137, 3\/7, 0.2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -962.10157 rounded to the nearest integer?\nAnswer: -962","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1164 or -320295?\nAnswer: -320295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3253 = 448*j - 3467 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23188*b - 23175*b = -104 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 198407 and 54.2?\nAnswer: 10753659.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-228)\/(-15) + 4\/5. Suppose -5*x + 14 = 4*o, 2*o - x = x + h. Solve -3*f - 3 = -o*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.9 - 34. Let d = v + -4.1. Let a = d + 0.9. Put -5, a, -3 in descending order.\nAnswer: a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -564 - -580. Calculate the remainder when 366 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 5. Is -2 not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -637*g - 5726. Give o(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 3*c**3 + 71*c - 9*c**2 - 62*c + 3 + 5*c**3. Let l be b(8). Let r = l + 8. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/11 or 13\/87?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1075*b = 1063*b + 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 4:04 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * -4.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -278 - -284. Suppose i*y - 233 = 31. Calculate the lowest common multiple of y and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3050357667 + 7\nAnswer: 3050357674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 85\/2. Factor -k*r + 0 - 3*r**2 - 3\/2*r**3.\nAnswer: -3*r*(r + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288432.\nAnswer: 2, 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*m - m + 6, -2*v + 8 = 4*m. Suppose 4*r + m*p = 14, 0*p + 3*p - 6 = -r. Suppose 3*s = r*i - 93, 4*i + 31 = 5*i - 2*s. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 11:30 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 804705 in 5, -3\/5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003078100133 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from sssxssx?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 11}. What is prob of sequence vv?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(153) + 0)**2 + -2.\nAnswer: 6*sqrt(17) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5238*b**3 - 8035*b**2 wrt b.\nAnswer: 31428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2. Let s(f) = 21*f + 70*f + f**2 - 36*f. What is s(i(u))?\nAnswer: 4*u**4 + 110*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138497061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1409880*w**2 + 1409879*w**2 + 22*w**3 - 2819759*w**2.\nAnswer: 22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**5 - 723*r**4 + 1347*r**3 + 21099*r**2 - 73350*r + 51624 = 0. What is r?\nAnswer: -6, 1, 3, 4, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 176\/512*7\/(497\/852)?\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:48 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44\/117 - -2\/9. Put -2, -0.2, -10, t in ascending order.\nAnswer: -10, -2, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0*c + 2. Let a be ((-99)\/(-6))\/(1\/c). What is the remainder when (33\/(-9) + 3)*a is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -232 - -5579\/24. Let b(d) be the third derivative of 0*d + 0 - o*d**4 + 5\/6*d**3 + 3*d**2. Let a(r) = 6*r - 3. Determine -7*a(s) - 4*b(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) 0.1 (c) -2718 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 43 - m**3 + 2*m**2 - 2*m - 44 + m**2 + 0*m**3. Determine w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**4\/8 - 153*q**3\/2 + 15909*q**2\/4 - 15453*q\/2 + 30603\/8 = 0.\nAnswer: 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113485 divided by -113485.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -599\/4 (c) -3 (d) 14.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/24)\/(3\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289587.\nAnswer: 3, 83, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 735442 and 445?\nAnswer: 327271690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9*8\/36 - (-2 + -64). What is the greatest common divisor of m and 1836?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27585287537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 745.8315 kilometers?\nAnswer: 745831500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 56902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**3\/3 - 7*l - 2. Let v(a) be the third derivative of -a**3\/6 + 5*a**2. What is -k(d) + 6*v(d)?\nAnswer: d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-90))\/((-87)\/((-10005)\/(-46))*10\/24)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8568 = 2151*f - 1647*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12149 divided by 12149.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 + 705\/7. Let x = -0.9 - -1.2. Let f = x - -0.2. Which is the nearest to -1\/2? (a) f (b) 1\/6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2))\/r)\/(r\/(r**2\/r)))**(3\/8)\/((r*r\/r**4*r)\/r**(-5)*r**(-4)*r*r\/(r\/(r**(-5\/4)\/r))) assuming r is positive.\nAnswer: sqrt(r)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 22 = -4*a + 87, 4*i - 71 = -5*a. Determine o so that -8*o**2 + 2 + 70 + a*o**2 - 5*o**2 - 24*o = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**24*j)\/j*j**(1\/22)*((j*j**(2\/15))\/j)\/j*j**10 assuming j is positive.\nAnswer: j**(-4561\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.1. Let m = 3.5 + -4. Let q(h) = -h + 1. Let x be q(2). Which is the closest to x? (a) m (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*n = -19, -o - 3*n - 47 + 56 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 6.0826.\nAnswer: -1.21652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 1\/60*c**6 - 7\/20*c**5 + 61\/24*c**4 - 3 + 9*c**2 + 38*c - 7*c**3. Suppose z(o) = 0. Calculate o.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90264.97 millilitres in litres?\nAnswer: 90.26497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145128.\nAnswer: 2, 3, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1020*r**2. Let y(u) = -2*u**2. Calculate y(z(b)).\nAnswer: -2080800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45.1 + -42.1. What is the second smallest value in -334, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 4:39 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3088445 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40269 divided by -16.\nAnswer: 40269\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1\/4, 11, 3\/697, 5, 3?\nAnswer: 3\/697","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**4 + 20*y**3 + 145*y**2 - 780*y + 900 = 0. Calculate y.\nAnswer: -6, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/16 and 111\/176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 95 = 5*u - 80, 4*u - 52 = -b. Suppose 4*v - 84 - b = 0. Round v to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3514115\/268 <= -13113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1 + (2 + 1 + 1)*(-5 + 8 + 5))*(-33*p + 54*p + 37*p).\nAnswer: 1798*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 + 5. Let g = 169 - 173. Let b(n) = -7*n**2 - 11. Calculate g*b(o) - 9*v(o).\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*i - 14. Let k(p) = -p + 12. Suppose -11 = 5*v - 41. Calculate the least common multiple of k(v) and i.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/12 - (-21)\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(75)*-2 + -3 - 5*(sqrt(75) + 0)) + 6*sqrt(75)*2 + 5*-2*sqrt(75))**2.\nAnswer: 1710*sqrt(3) + 27156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovdvodoszcd. What is prob of sequence vzvd?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*sqrt(1900)*1)**2 + 1.\nAnswer: 1896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 0*a + 2*a - 33 = -9*i, 5*i = a - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14747)\/6 - 2\/(-6). Let c = s + 2409. Find the common denominator of c and 77\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 437 - 404. What is the remainder when f is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2226 + 2299.55. Let u = w - 73. Are u and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 37*l**3 - l**2 + 3. Let d be x(-2). Let w = -184 - d. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p + 6 = 0. What is the units digit of (-24)\/(0 - p) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.311356 nanometers?\nAnswer: 0.0000008311356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)\/(d**(-14\/3)\/d))\/(d\/(d\/(d\/d**1))*d**0))**(18\/13) assuming d is positive.\nAnswer: d**(66\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 746029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:54 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*r - r. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 142, 283, 468, 691?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -16.5. Let w be (-2)\/(3\/(-9) - (-102)\/9). Let z = 3.04 - 0.04. Put z, w, v in decreasing order.\nAnswer: z, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 2:31 PM?\nAnswer: 346","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197277366.\nAnswer: 2, 3, 11, 13, 31, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**4 - 4*g**4 + 9*g**4 + (4 - 4 - 1)*(-4*g**4 + 4*g**4 - 2*g**4) + (-g + g - g**3)*(-6*g - 7*g - 4*g) + 2*g**4 + 222*g**3 - 222*g**3.\nAnswer: 25*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*v - 289 + 808 = 0, -3*v = -5*l + 2455. Suppose i = 5*t + 121 + 47, -l = -3*i + 5*t. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4\/2 - 24*o**3 + 63*o**2 - 60*o + 39\/2.\nAnswer: 3*(o - 13)*(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*l - 176 = -264*l + 152*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5905832cm to micrometers.\nAnswer: 5905.832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1124, 3976, 8540, 14804, 22756?\nAnswer: 32384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/1440*-10*148\/111?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 12, -35, -110, -219?\nAnswer: -368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.6 + -18. Let d = l - -0.8. Let p = 0.2 + d. Which is the nearest to -0.1? (a) 4 (b) p (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -4926832.68726\nAnswer: -4926832.98726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 10*i + 11. Let q be d(-8). Which is the third biggest value? (a) 4 (b) -16 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39491395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 3*w**2 + 21*w\/4 - 5\/2.\nAnswer: (w - 10)*(w - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 11. Suppose r*u = -u, 4*p - 16 = 5*u. Solve -p*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccoi when four letters picked without replacement from {o: 6, g: 3, i: 1, c: 2, h: 4}.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -14) + (27 - 0 - 18).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47\/261 + -2\/29. Let l = 0.139 - -0.195. Let h = -0.634 + l. Which is the second biggest value? (a) 0 (b) h (c) s (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2240 = -1632. Calculate the greatest common factor of 44 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 204 - 204 - 4*v + (-2 - 2 + 5)*(-3*v + 3*v - 2*v) - v - 4*v + 4*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2466 and 231?\nAnswer: 189882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**6\/120 + v**5\/15 + v**4\/8 - v**3\/2 - 7*v**2. What is the remainder when 42 is divided by s(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/7 + -1 - (-2340)\/(-126). Are -18 and w equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**3 + 4*q**2 - 3*q - 4. Let i(u) = u**3 - u - 1. Let t(x) = 13*x**3 - 5*x**2 - 3*x - 1. Let k(m) = -6*i(m) + t(m). Calculate 4*k(z) + 5*o(z).\nAnswer: -2*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(99)*6)**2 - ((sqrt(132) - 1*sqrt(132))\/sqrt(12) - -2*sqrt(11)*-1)) + 5 + 2*-1*(sqrt(1584) + (1*sqrt(1584))**2).\nAnswer: -130*sqrt(11) + 410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1238\/60415 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 398446.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10985531.69 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 315, 550, 949, 1566, 2455?\nAnswer: 3670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 0 - (99 + 87 + -234)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5635 - (31 + 9 + -20). What is t rounded to the nearest one hundred?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 29 = p + 4*s, 5*p + 3*s - 52 = 0. Suppose p*c = 3*c - 96. Let g be (0 + 0)\/(-2*(-6)\/c). What is the third smallest value in 5, 4, 7, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5762.\nAnswer: 2, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/62910 and 91\/12150?\nAnswer: 2830950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4394845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2028*q + 2738 = 2102*q for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 3*b**2 - 8*b + 1. Determine l(-9).\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 2b135c?\nAnswer: 2b135e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6835808543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2825a (base 12) in base 16?\nAnswer: -d966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*s**2 + 0)*(4*s - 4*s + 3*s) + (-6*s - 3*s + s)*(2 + 2 - 1)*(-s - s + 4*s)*(-8 + 0 + 2)*(2*s + 1 - 1).\nAnswer: 570*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/20)\/(-1)*13\/(-13)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3241 rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 12. Let g be k(9). Let n be (g\/(-12)*0)\/2. Let y(d) = -d**2 + d. Let q be y(n). Solve 2*j - 6*j = q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5821, 2, -684?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*p**2 + 720*p - 13*p**2 - 7*p**2 - 9*p**2 - 15*p**2.\nAnswer: -p**2 + 720*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-185)\/(-111)*3\/((-135)\/(-6)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.803 take away 20.098339?\nAnswer: -77.901339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**3 - 2*x**2 + 4*x + 2. Let k be d(-3). Let t be (-2870)\/56 - ((-18)\/8 + 2). Let l = k + t. Solve -l + 0 = -2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -24, -77, -182, -357?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 17 = 14*p. Suppose -p*b + 1725 = -4905. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008677846998 to seven dps.\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2517344 by -811.\nAnswer: -3104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i. Let u(c) be the third derivative of -c**8\/10080 + c**5\/60 + 3*c**2. Let l(s) be the third derivative of u(s). Determine l(p(g)).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 80 = 9*h. Suppose h*p + 90 = 22*p. Calculate the greatest common divisor of 30 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.96 - -44.04. Let u = q - 46. Which is bigger: u or 2\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -19. Let d(s) = -s**2 + 3*s - 2. Let o be d(2). Suppose o = h + h - 8. Sort v, h, 0 in decreasing order.\nAnswer: h, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*h + 834376 + 206211 = 259579. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n + 10. Let p be n\/(-6) + 592\/12. Calculate the greatest common divisor of 7 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 11:55 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - -100?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000138409 to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1859 + -1863. Let q be (3\/(-15))\/(3 + -2). Sort 38, b, q in increasing order.\nAnswer: b, q, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -57 + 6 + -2 + (1 - (-1 + -2)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-728)\/(-26) - (-1 - (-1738)\/110))*(-15)\/2\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*p + 2 = 0, -2*s + 0*p = p - 2. Let o = 5 - 3. Differentiate s*k - 3 - o*k - 2 + 4 with respect to k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13124200 and 2488.\nAnswer: 13124200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512792 and 728.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 + a**2 + (-2*a**2 - a**2 + 4*a**2)*(2 - 4 + 3) - 4*a**2 + 3*a**2 + 6*a**2)*(-a**3 - 2 + 2 + (-1 - 2*a + 1)*(4*a**2 + 0*a**2 - 6*a**2)).\nAnswer: 21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*(-11)\/(-440))\/(3\/(-12)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 10 - 5. Solve x = 2*s - 5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.121 (b) 1\/2 (c) -0.4 (d) -3.1 (e) -0.47 (f) 1 (g) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27227848701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -29\/5, -1\/3, -1\/76 in descending order.\nAnswer: 1\/4, -1\/76, -1\/3, -29\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8272, 8274, 8278, 8284, 8292, 8302, 8314?\nAnswer: 8328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 11*r = 18, 3*r + 123652 - 123646 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235 + -205. Suppose 8*x + 65 = 169. Let m(w) = -w**2 + 13*w + 16. What is the lowest common multiple of m(x) and u?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.6 in 2\/11, -1, -101, -2\/13?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 8*o + 12. Suppose 0 = 5*z + 5*b - 40, -b - 16 = 8*z - 11*z. Let j be m(z). Suppose j = -12*f + 2*f + 130. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101501\/5 - 20231. Let w = t + -69. Let v be 0\/4 + 1 + -5. Which is the third biggest value? (a) -2\/5 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 7*a**5\/10 + 5*a**4\/12 - 10*a. Find the third derivative of o(b) wrt b.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010011010010110101 - -1011?\nAnswer: 11010011010011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 36. Let k = 0 - 0. Solve k*q + 8 = t*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h**4 + 0*h)*((0 + 3 - 4)*(-2 - 3 + 3) + 2 - 2 + 4 + (2 - 2 + 1)*(0 + 0 - 2)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**16\/(m\/m**(-1)))**(1\/54))**(1\/8) assuming m is positive.\nAnswer: m**(7\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/(-21)*(-3)\/(-1). Let k be (p\/((-20)\/(-32)))\/2. Sort 1\/8, k, 2\/7.\nAnswer: k, 1\/8, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 - 127.2. Let l = -0.111 - -0.061. Is a not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -84, -170, -266, -372, -488?\n\"Answer: -5*q**2 - 71*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b. Let a(v) = -134*v**2. What is k(a(p))?\nAnswer: 938*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -167*q**6\/10 + 109*q**2\/2 - 2*q + 645. What is the derivative of c(n) wrt n?\nAnswer: -2004*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-7 + -5 + 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 1\/6*h**3 - 2*h + 0 + 0*h**2. Let w(g) = 3*g**2. Calculate p(w(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = a + 9, -3 = 2*a + p - 5. Let l(c) = -c**3 - 4*c**2 - c - 1. Let b be l(-4). Let f(k) = 3*k + 0*k**2 - k**2 - b + 0*k**2. Determine f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/10 + -1)\/(6\/(-30)). Let f be 4\/(8\/d)*(-15)\/9. Solve 0 = -9*w + 4*w + f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from ghtmz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 <= -235.02956?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 6*c**2 - 4*c + 7. Let s be x(-5). Let k be -8*270\/(-120)*(-7)\/(-42). Solve s*o - k = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.515, -0.1, -119, 0 in increasing order.\nAnswer: -119, -0.515, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183529*z + 183536*z + 122 = -2*p, 4*p - 12 = 2*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1245 by 3.\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1124*-1802.\nAnswer: 2025448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 12) to base 2\nAnswer: 10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -399, -575, -611, -435, 25, 841?\n\"Answer: 12*w**3 - 2*w**2 - 254*w - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/441 and 66\/(663\/9 - 4\/24).\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqbb when four letters picked without replacement from bmqmannb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*0*(-2)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -36. Let t(w) = -20*w - 5782. Let o(y) = -2*d(y) - t(y). Find the first derivative of o(g) wrt g.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*x + 23, -i + 11*x - 20 = 10*x. Let m be -16 - i - (1 + 0). Which is smaller: -1\/8 or m?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffeaaffef. Give prob of picking 2 e and 2 a.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2559361 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 352091\/158 < 2227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 55?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (84\/10)\/(5\/25). Suppose 2*x = 9*x - m. Let h(c) = -x*c**2 + 10*c**2 + 11*c**2. Let p(f) = f. What is p(h(t))?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, 6.\nAnswer: -13, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7355.828 kilograms in grams?\nAnswer: 7355828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-967)\/(-490269))\/(18\/(-351))\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 11628 = n, -139*o = -140*o - 2*n + 3866. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 37*w = 8*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 6*l. Calculate v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 + 188. Suppose 2578*l - 136 = 2576*l. Suppose q*k + l = 75*k. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -248.605 - -249. Let m = z + 0.985. What is m rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11247*v**2. Let q(i) = 704*i. What is q(c(k))?\nAnswer: 7917888*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 16*b - 18. Let u(f) = 2*f - 28. Let r be u(16). Suppose 46 = 2*x + r*q, 3*x + q - 14 = 40. Let z be p(x). Let t(d) = 9*d**2 - 1. Give t(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 602950 or 602959?\nAnswer: 602959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2097, -1840, -1583, -1326, -1069?\n\"Answer: 257*s - 2354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 4*g - 16. Let c be r(-7). Solve -3*b + 3*x - 18 = 0, -c*b + 5 + 5 = 5*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81864*o + 27131*o + 27635*o + 27116*o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 11*b**2 - 12*b - 2. Let o be r(-12). Let n be (0 - -1 - 3) + -1. Sort o, 3, n in increasing order.\nAnswer: n, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 135804, 271603, 407390, 543159, 678904, 814619, 950298?\n\"Answer: -y**3 + 135806*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 4:38 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4128 + -2660. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4616 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 d when three letters picked without replacement from {n: 6, d: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1254 divided by -418?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314052*j**3 - 24003*j**3 - 39064*j**3.\nAnswer: 250985*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/4 (b) -0.3 (c) -1 (d) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 39 (c) 15 (d) 119 (e) -5 (f) 8\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Let t be (s - 1) + 1\/1. Let d(u) = -t*u**2 + 5 + 0 - 4 + 2*u. What is d(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/15, -1.5, 2\/13, 0.5 in decreasing order.\nAnswer: 0.5, 4\/15, 2\/13, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a + 74. Let c be s(-9). Solve g = -0*g - c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(-4)*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000204516 to 7 dps.\nAnswer: 0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f**4\/10 + 6*f**3\/5 - 7*f**2\/5 - 6*f\/5 + 13\/10 = 0. Calculate f.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 6735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 1\/3 (c) 0.04 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(175)))**2 - (sqrt(175) - (sqrt(175) - (1*sqrt(175))**2))*1.\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4891*0.3.\nAnswer: 1467.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 6*i - 7. Let b be k(6). Factor -15 - 5*t**3 - 25*t**2 - b*t - 22*t + 16*t.\nAnswer: -5*(t + 1)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2542 divided by 2542\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 647 (base 8) to base 2.\nAnswer: 110100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.34. Which is the smallest value? (a) y (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48877 + 2255877. What is k rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 11)*(3 + 6 - 5)*(-28 + i**2 + 56 - 5*i - 21) in the form u*i + x*i**2 + k and give k.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/1)\/(-2) + (-33453)\/(-177).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/((-555)\/4218*-38).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 8 = 24*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277118423.\nAnswer: 31, 157, 467869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107709.\nAnswer: 3, 7, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - 7*t - 4*t + 4*t**2 + 3. Is d(5) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -2)\/(2\/(-10)). Let b = 8 + n. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(110)*2)\/sqrt(10))**2 + 2 + sqrt(11) + -2 + -5.\nAnswer: sqrt(11) + 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 + -45. What is the smallest common multiple of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 4:51 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16439.\nAnswer: 17, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 11:20 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q = 5*u - 714, 5*q = -2*u + 264. Suppose 116 = -2*s + 4*g - u, 5*g + 581 = -4*s. Let m = 606 - s. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q + 0 - 1\/2*q**2.\nAnswer: -q*(q + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 14986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -0.3. Which is the second smallest value? (a) -2\/3 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 340*j - 2717. Determine f(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/12 and 131\/1550076.\nAnswer: 1550076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18569277 - 33?\nAnswer: -18569310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - v + 6*v)*((0 + 0 - v)*(-v - 3 + 3) + (0*v + 0*v - 2*v)*(-3511*v + 3049*v + 2 - 3827*v)) to the form n*v + m*v**3 + w + z*v**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4988*n = -4990*n - 4*p - 52, 13 = -7*n - p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:51 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cun when three letters picked without replacement from xnclccuncu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -3 - (15 - 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and 648.\nAnswer: 647.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 88969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6024968833 - -148.\nAnswer: -6024968685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1800) - sqrt(1800))*3 + sqrt(1800) + sqrt(1800) + 1*(sqrt(1800) + 1*sqrt(1800)))\/((1*sqrt(108)*-2)\/(sqrt(300)*2 - sqrt(300))).\nAnswer: -175*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2352\/943 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 343290, 686533, 1029766, 1372983, 1716178, 2059345, 2402478, 2745571?\nAnswer: 3088618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138.487 + 504.\nAnswer: 365.513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -854614 at most as big as -854628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 2*u + 1. Let o be x(1). Let v be (0 + -2)\/(-4)*-2. Is -2 + 10 - v - o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r. Let v(f) = f - 2. Determine y(v(x)).\nAnswer: -5*x + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 8*g**2 + g - 5. Let y be l(8). Suppose 0 = -0*r + r - y. Suppose -r*p = 5*u - 33, -3*p + 2*u + 6 = -p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 459 = -3*o, 209 = 2*l + o - 94. Let k = l - 86. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -2*b**3\/3 + 18*b. Let r(m) = -4*m**2. Calculate c(r(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 62858056 a multiple of 659?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 13944.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 not equal to 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -6 (c) -0.11 (d) 6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 61 and 0.06?\nAnswer: 60.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 294919873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5\/12))**(-28)\/(g**33\/g*g**19))**(11\/5) assuming g is positive.\nAnswer: g**(-1298\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*y**2 + 1859 - 4*y + 548*y**2 + 26*y.\nAnswer: -y**2 + 22*y + 1859","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2212814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**3 - 5*w**3 - 3*w**4 + w**4 + 0*w**4 - 2*w**4 + (31*w**2 - 31*w**2 + 8*w**3)*(-w - w - 19*w).\nAnswer: -172*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 48*n - 382. Give f(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669195?\nAnswer: 5, 11, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 293 = s + 377 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*n + 7*n - 10, -4*n + 8 = 0. Solve f*d = 6, 0 = -6*p + 9*p - d - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*2\/4)\/(12\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 84 = v. Let m = v - 93. Let n be ((-6)\/m)\/((-2)\/(-9)). Solve -2*g = q - 11, 0*g - n = -3*q + 4*g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 504*h**3*k + 311*h**3 - h**2 wrt k.\nAnswer: 504*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21276462689 from -1.\nAnswer: -21276462690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*2*11\/(-2). Suppose -25 - l = -2*f. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044515 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21, -5, -58\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9827?\nAnswer: 31, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -1. Let j = 5 + -4.5. Let n = 353\/2667 + 4\/381. Which is the second smallest value? (a) w (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 + 28*m - 3. Let s(q) = -2*q**2 + 18*q - 2. Calculate 9*s(t) - 5*z(t).\nAnswer: -3*t**2 + 22*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41.8 + 571.2. Let v = a - 616. Let p = 1.2 + -0.7. Sort v, -2\/11, 0.1, p in ascending order.\nAnswer: v, -2\/11, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 6*d**3)*(-12*d**2 - 8*d**2 + 23*d**2) + (2*d**2 - 3*d**2 + 2*d**2)*(0*d - d**3 + 0*d).\nAnswer: 17*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -i + 1, 1 = 4*i + 27*k - 24*k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 26 = 0. Suppose 5*c + h = 77, -14 - 3 = -c - h. Suppose -4*n - 8*s = -7*s - 25, 5*s = -c. What is the remainder when y is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -171? (a) -29 (b) 5\/4 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101834170 divided by 3.\nAnswer: -101834170\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 3\/(-6)*4. Let o be 2\/11 - (3 + (-276)\/(-66)). Put -3, o, -5, h in ascending order.\nAnswer: o, -5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 10*w + 6. Let l be b(4). Let c be (12\/l)\/(-1 - 4\/(-6)). Solve 3*o + c = -4, -5*f - 3*o = -14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9549888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veo when three letters picked without replacement from pgoeonev?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 1:17 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, 32, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 9401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (-1)\/((-7)\/17). Let m = -0.1 + -1.9. Let g = 0.5 - 0.4. Which is the closest to g? (a) -4 (b) m (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -2 + 10)\/2. Let v = s + -2. Let m(x) = -1 - 10*x - 5*x**v + 2*x + x - x**3 + 2*x**3. Calculate m(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -8\/7*q**7 + 0*q + 0*q**6 + 0*q**5 + 0*q**2 + 0*q**4 - 4 + 8\/3*q**3. Find the third derivative of m(k) wrt k.\nAnswer: -960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0.048, 5, -4 in decreasing order.\nAnswer: 5, 0.048, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (16 - 27) + 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-426)\/38*329579\/561. Let d = a - -6586. Let p = d + 117\/209. What is the biggest value in p, 0.5, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 4*c**2 + c - 2. Let m be t(4). Suppose m*a = 3*u - 21, -9 - 12 = -3*u + a. Solve -3*q + u + 5 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 422.3794ml?\nAnswer: 0.4223794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62\/(-2) + -8 + (-6306)\/(-162)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 65 = -b, -4*s + 100 + 185 = -b. Suppose p + 5*z = 2*z + 35, 2*p - 4*z = 50. Let g = 53 - p. Calculate the remainder when s is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1684980752.\nAnswer: 2, 7, 13, 89, 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -3*z**2 - 183*z - 29. Let l be p(-31). Let g(f) = -f**3 + 3*f**2 - f - 4. Give g(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = -15*a. Suppose l - z - 972 = -a*l, 0 = z + 4. Is l a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -32*d**3 - 4*d**2 + 11*d - 1. Let s(g) = -2*g**2 + 2*g - 1. Give l(x) - 2*s(x).\nAnswer: -32*x**3 + 7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*-1*sqrt(95)*-1)\/((-6*sqrt(300)\/sqrt(5))\/(sqrt(540)\/sqrt(5))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20801145 is divided by 11467.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.6 not equal to 2\/83333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 = 5*w - 4*b - 2827, 0 = -4*w + 2*b + 1748. What is the remainder when 1326 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, x: 2, e: 2, s: 2, p: 5}. Give prob of picking 1 k and 1 e.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1439 - 963. Suppose 3*i = 5*j + 296, -5*i + 6*j - 2*j + a = 0. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**4\/24 - 3*k**3 - 7*k**2 - 6. What is q(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 4*p + 0*p + (1 - 1 - 2*p)*(-5 + 3 + 3) - 2 + 2 - 2*p)*(16 + 13 + 67).\nAnswer: -192*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 134 + (4 - 2) - -3. Let t = -80 + o. Calculate the remainder when t is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1 + -3 + 0. What is the smallest common multiple of r\/6 + (-150)\/(-36) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 192572?\nAnswer: 192572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(60) - sqrt(8640)*3)\/sqrt(12) + (4*sqrt(60) - sqrt(15))\/sqrt(3))*4*-5.\nAnswer: -3360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121416 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -389*m - 19. Suppose -24 = 29*p + 5. What is the units digit of b(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-1)\/(1\/2). Let k(c) = c**2 + 98*c - 2072. Let d be k(18). Factor -4*h - 25*h**2 + g*h + 13*h**2 + d*h**2.\nAnswer: 4*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/75*(220\/(-1078))\/((-12)\/7).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 522*t + 306. Is 36 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-107)\/2247)\/(1\/(-273))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3145 + -18871\/6. What is the common denominator of ((-2)\/387)\/((-1)\/66) and z?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 3.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u + 25*u - 115 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 815 + 359*y - 556 - 258 + 1809*y + 197*y.\nAnswer: 2365*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y + 4 + 3*y + 3*y - 3*y. Let k be q(9). Calculate the highest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 11:37 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 7*x**2 - 21*x - 19. What is l(-10)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902 divided by 534?\nAnswer: 317\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13856699 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 16 = h, h - 42 = -5*q - 40 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4219210152 rounded to the nearest one hundred thousand?\nAnswer: -4219200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6692*u - t + 13 = 6687*u, 29 = -10*u + 3*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 - -11. Suppose -10*t + 70 = -g. What is the lowest common multiple of t and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from wianlagg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 10:31 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215\/25*(-1885)\/(-1131).\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) - (-4)\/6. Let y(j) = -5*j + 11. Let c(z) = -4*z + 9. Let t(p) = -6*c(p) + 5*y(p). Let u(w) = -1. Determine g*t(k) + 2*u(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*h = 140*h - 56. Suppose b + 2*d = -40, 2*d = 7*d - 5. Let k = -15 - b. What is the remainder when k is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43217 plus 9?\nAnswer: 43226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sskk when four letters picked without replacement from jhjhjkjjjhshjhhjkjh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 14 = -y + 40, y = d - 4. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1676.309 meters?\nAnswer: 167630.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 4:57 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*v + 20, 0 = c - 5*v - 10 - 2. Suppose s - 5*n + 27 = 2*s, 4*s = -4*n + 44. Calculate the remainder when (-2)\/(-4)*(c - -6) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -20. Let t be 6 + a\/4*2. What is the closest to -0.1 in -1\/4, 2\/13, t?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - -2. Let v = r - 18. Let z be 190\/((-8)\/v) - -3. What is the highest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111 (base 2) to base 6.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 minutes before 4:46 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*u**2 - 12443410*f**3 - 38375756*f**2*u**2 wrt f.\nAnswer: 12*u**2 - 74660460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 divided by 13?\nAnswer: -95\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0742 (b) 5 (c) 29\/44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-434)\/651)\/(1\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**3 - 4*f**2 + 5*f - 106. Is o(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 69 + (26 - 50).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, u: 3, w: 3, a: 1, x: 1, t: 1}. Give prob of sequence wq.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (9 - -2 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:46 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(152) - sqrt(152)*1 - sqrt(152)) + sqrt(152))*6)\/(-3*sqrt(16)\/sqrt(32)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 8*v**2 - 11*v - 11. Let d be g(-9). Suppose d*y - 20 = 2*y. Solve 26\/3*i**3 + 14*i**y - 26\/3*i - 4\/3 - 38\/3*i**2 = 0.\nAnswer: -1, -1\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10817550*a**5*r + a**2*r + 417089*a**2 + 2*a - 2 wrt a?\nAnswer: -649053000*a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4287 + -1.5713. Which is the smallest value? (a) -2\/23 (b) 4 (c) -30 (d) -5 (e) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5022232504?\nAnswer: 2, 627779063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860.116ml in litres?\nAnswer: 1.860116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(6\/7)*n**1\/n*n*n**(2\/3)*n*n**(-4)\/n*n)**(-25) assuming n is positive.\nAnswer: n**(625\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 120847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -154\/72117 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 3. Let p(f) = -f**3 + 4. Let m be ((-5)\/(-5) - (-21)\/(-12))*-4. What is m*p(i) + 4*l(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33641399 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*d*k - 9*d + k*u**2 + 4*k + 4*u**2 wrt k.\nAnswer: -8*d + u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20083, 40166, 60249, 80332?\n\"Answer: 20083*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -29. Calculate the common denominator of -47\/6 and g + -5 - (-38)\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/40 - (-14)\/(-4)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -12*b**3 - 56*b**2 + 2*b - 91. What is o(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*s - 25, 12 - 43 = -4*g + 5*s. Let o = -19 - -17. Which is the second smallest value? (a) o (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**5\/30 + x**3\/6 + 3*x. Let w(a) be the second derivative of z(a). What are the prime factors of w(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15595\/3311 - -2\/473. Which is the nearest to -1\/3? (a) -0.1 (b) w (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = w + 271, 824 = -3*w - h + 2*h. Let c be 9336\/6*(-2)\/(-8). Let d = w + c. What is the highest common divisor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1748)\/57)\/23*(10\/(-105))\/((-8)\/18).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -3*z - 5*v, -5*z + 0*z + 80 = -2*v. Suppose 1 = -17*b + z*b. Suppose -19*t + 20*t = b. Let h(a) = -4*a. Give h(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*x = x - 40, 0 = 5*g + x - 188. Let z(a) = 19*a + 1. Let b be z(-1). Let o be g\/6 - (-6)\/b. Solve -2*c + u = -o, 5*c - 4*u = -0*c + 21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -7\/3 (b) -8 (c) 1 (d) -4.2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 33 + 52. Let g = t + -1. Suppose -4*b + 5*h + 38 = -31, -b - h = -15. What is the greatest common divisor of b and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-154*o - 115*o + 63*o)*(-3 + 0 + 2) to r + q*o and give q.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*y - 3*y = -18, 2*k - 22 = 3*y. Let p(s) = -s**3 + 8*s**2 + 2*s - 11. Give p(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 107152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1184 and 1\/85248.\nAnswer: 85248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3313978 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1419 - 983. What is the remainder when s is divided by 9933\/203 + (-30)\/(-435)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2281393.78 rounded to the nearest 100?\nAnswer: -2281400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*j*w**4 + 180*j*w**3 + 513*j*w**2 - 10*j - 6*w**5 wrt w.\nAnswer: -408*j*w + 1080*j - 360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -85\/4044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a + 5*a - 3*a**2 + (-1 - 2 + 5)*(4*a - 4*a - a**2) + 0*a**2 - 4*a**2 - 7*a**2 + 0*a**2 + 0*a**2 + 3*a**2 + (4 + 0 - 5)*(a**2 + a**2 - 4*a**2).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 9*w + 7. Suppose -5*g + 2 - 19 = 4*v, -5*v = -2*g - 20. Let h be ((-2)\/2)\/(g\/(-20)). Let j be s(h). Let d(c) = -c**2 + c - 3. Give d(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*a**2 - 6*a - 3*a**3 + 34*a**2 - 8*a**2 + (4 - 2*a - 4)*(-3 - a**2 + 3).\nAnswer: -a**3 + a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -400, -1600, -3604, -6412, -10024?\n\"Answer: -402*a**2 + 6*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.71 in -1\/2, 1\/8, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -31\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -7.292, -0.2?\nAnswer: -7.292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1848385*h**3 - 127938*h**2 wrt h.\nAnswer: 11090310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9999 - 1. What is l rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -180 - -185. Let i(g) = -8*g - 2*g - m*g. Let w(a) = -4*a. Determine i(w(j)).\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 918398 and 1690.\nAnswer: 59695870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -38. What is the fourth smallest value in -5, a, 2, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(2 + -44))\/(1036\/6216). What is the nearest to 0.2 in m, 2\/9, 777\/2, 0.3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94 - (11 + -4) - 12) + (12 - -3).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of 3*u**5\/5 - 7*u**2\/2 - 6. Find the second derivative of j(f) wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*k - 100*k - 110*k)*(0 - 2 + 5).\nAnswer: -222*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2285 is divided by 1034?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216153 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2200) - sqrt(2200)*1)*6)\/(sqrt(132)\/sqrt(432) - (sqrt(99)\/(sqrt(9)*3 - sqrt(9) - sqrt(9)) + sqrt(11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0*i - 8. Suppose -i*p + 12 = 2*p. Let y = -8 - -8.2. What is the third biggest value in y, 5, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(405) + -1 - sqrt(405))*6 - sqrt(405))*-4)**2 + -1 + -3*sqrt(40)\/(sqrt(8) + (sqrt(72) - sqrt(8)))*-1.\nAnswer: 1657*sqrt(5) + 7008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14141 + -10?\nAnswer: 14131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9006 and -0.9.\nAnswer: -8105.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -12*u + 5. Let i(v) = -13*v**2 - 11*v. Let p(g) = -7*g**2 - 6*g. Let a(y) = 6*i(y) - 11*p(y). Calculate m(a(x)).\nAnswer: 12*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, -4, 513, -0.3 in ascending order.\nAnswer: -12, -4, -0.3, 0, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s - 303 - 66 - 23 = 0 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {m: 5, r: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of -7 - (-7 - (-5688)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*r**3 + 5 - 5.\nAnswer: -109*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28356, 56716, 85074, 113430, 141784, 170136, 198486?\nAnswer: 226834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**5\/2 + 3798*c**4 + 30279*c**3\/2 - 72117*c**2 - 174468*c - 91008 = 0?\nAnswer: -2528, -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 70?\nAnswer: -13\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r*u**4 - 41*r*u**2 - 88*r*u - 17072035*u**3 - 4161*u**2 wrt u?\nAnswer: -24*r*u - 102432210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 40. What is the third biggest value in z, -1, 0.4, -12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 52 = 2*q. Let j(g) = -g**3 + 5*g**2 + 2*g. Determine j(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)*b**(-2\/5)*(b*b**3)\/b**(-6))\/(b*b**(-2\/9)*b**(-4)*(b**8\/b*b*b*b*b)\/(b**(2\/9)\/b)) assuming b is positive.\nAnswer: b**(-133\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 945886.\nAnswer: 2, 313, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6460800 divided by -16825?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 169\/115 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*f - 24 = -0*f, 0 = -5*f. Let n = -1 + p. Let a = n - -34. Solve 3*t - a = -0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 23*w**3 - w**5 - 4*w**3 - 4*w**2 - 28*w**4 - w**5 + 45*w**3 - 12572*w + 12510*w = 0. What is w?\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*n = 8*n - 16, -g - 5*n + 34 = 0. Let v be ((-12)\/g + 0)*-3. Calculate the highest common divisor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 134*r + 6609. Let j be a(-49). Solve -144 = j*x + 157 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + 3 - (4 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -86*s**3\/3 - 3*s. Let i be a(-1). What is the second derivative of i*x - 9*x**5 + 4*x**2 - 179*x - 4*x**2 wrt x?\nAnswer: -180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) - (-2*(3*sqrt(208) - sqrt(208)))**2) + 1.\nAnswer: -3327 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6674486?\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1 (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/56)\/(15\/(-5)))\/((-52)\/(-468))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 13, 69, 179, 361, 633?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 22897 - 48743 = 0. Suppose -u + a + s = 2*a, -4*a + 7966 = 2*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 74 = -2*c, 4*j - 7316 + 7605 = -15*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9217956, 18435915, 27653876, 36871839, 46089804, 55307771?\nAnswer: 64525740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = 168. Is s a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29046020 to the power of 1\/3, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1\/5 (c) -1 (d) 92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60.4 + -11.4. Let s = g - 148. Let l = s + 98.9989. Round l to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 92460.4678 + -92468. Let y = 7.752268 + b. Let h = y + -0.22. Round h to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2 + 1343*b**3 + 1259 - b + 1083*b**3 - 39*b**5 - 2421*b**3 wrt b?\nAnswer: -780*b**3 + 30*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 155378 + -144?\nAnswer: 155234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 93*g - 2 + 95 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/26700 and 29\/25060.\nAnswer: 33455100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 1. Let z(s) = -38*s**2 + 152*s - 152. What is 152*u(h) + z(h)?\nAnswer: -38*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(128))\/(sqrt(396)*-5) + (sqrt(44)\/sqrt(539))\/sqrt(72).\nAnswer: 11*sqrt(2)\/560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8889813902 less than 22?\nAnswer: -8889813880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 divided by 6?\nAnswer: 467\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -53 + 68 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 4. Let j = -32 + -31. Let v = j + 66. Suppose -u + 1 = g + 8, -5 = v*u - 5*g. What is l(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-484*t**2 + 26*t**2 + 45*t**2 - 107*t**2)*(2 + t - 2) to d*t**2 + s + z*t**3 + o*t and give z.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 54*o**3 + 0*o**2 + 7*o**3.\nAnswer: -47*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 243960000 to the nearest one million.\nAnswer: 244000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -8. Let l = 17 - 15. Suppose 19 - 1 = l*i. Calculate the remainder when i is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*z**2 + 215*z**5 - 41*z**2 + 13*z**5 - 14*z**2 wrt z?\nAnswer: 13680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 180607300 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 m, and 1 c when four letters picked without replacement from mmmcmmmmmsmmm?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*h - 5*l, -2*l = 2*h + 2*l + 6. Which is the third biggest value? (a) 0 (b) 20 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.1892 times -0.06?\nAnswer: 1.151352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(10*f**3 - 6*f**3 + f**3)*(-5 + 0 + 4).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3328890 and 936840.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbebbqbbbebqo. What is prob of sequence qbeb?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.32187 and -1.5.\nAnswer: -1.17813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f - i + 19 = 0, 0 = 4*f - 4*i + 4. Let q(w) = -f + 2 + 4*w - 17*w. Let p be (-2)\/((-3)\/(-3) - 3). Give q(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 3*i**2 + 4*i**2)*(-28*i**3 - 8*i**3 + 5*i**3).\nAnswer: -155*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 9. Let f be k(-6). Let j(x) = -x - 1. Suppose 0 = 4*z - 4, 0*z - z = 3*y + 17. Let i be j(y). Sort 3, i, f in descending order.\nAnswer: i, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/2 - -7 - 2\/4. Let i(b) = 3*b - 29. Let o be i(v). Suppose 0 = -2*y - o*y + 162. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 1378?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -37. Let h = -32.2 - c. What is h rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 2\/43 (b) 2\/15 (c) 0.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - 35 - (1 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -0.013, 0.3.\nAnswer: -7, -5, -0.013, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < 37\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713118180 a multiple of 1421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -271 - -252. Let v(o) = -7*o**2 - 38*o + 8. Let g(s) = 3*s**2 + 19*s - 4. Let p(m) = -5*g(m) - 2*v(m). Let y be p(i). Solve 10 = -y*h - 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42 - -49)*(-34)\/(-7) + 3. Calculate the greatest common factor of w and 1221.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 4*c = -2*s - 33, 0 = -4*c + 8. Suppose 2*z = s*z. Suppose -i = 4*l - 15, z = 5*i - 5*l + 10 + 15. Is 2\/5 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 5 = 12*l. Sort 4, l, -13 in increasing order.\nAnswer: -13, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/8)\/(((l\/l**14)\/l)\/l) assuming l is positive.\nAnswer: l**(123\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/11 - -5\/33. Which is the closest to 0? (a) 0.4 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4710 and 129.\nAnswer: 202530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 5*v**2 - v - 3. Let j be u(-4). Let g = j + 23. Find the first derivative of q + 8 - g - 3 wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x + 234 = 8*x + 9*g - 4*g, x - 7*x - g - 234 = 0 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 109.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 r, and 1 f when three letters picked without replacement from rmzmmjmmjfrjm?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1179*r**4 + 11*r**3 - 2*r - 17111274?\nAnswer: 4716*r**3 + 33*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4437\/68)\/(-29))\/((-3)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 394 + -585. Let z = g - -286. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -791*a*r**4 - 32463*a*r - 65665740*a wrt r.\nAnswer: -3164*a*r**3 - 32463*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6302.043mm in meters?\nAnswer: 6.302043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -359 - -5?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -25*s + 680. Let d be y(23). Solve 28 = 98*i - d*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*u - 39 = -31, -5*u + 26 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -51. Let j(x) = -x**3 + 6*x**2 + x - 8. Determine j(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 - -146. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from yyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/(-240)*(-4)\/30.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + t + 40. Let s = t - 76. Let x be 28\/s + 33\/2. Calculate the greatest common divisor of 368 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpvclpq. What is prob of sequence pvl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 5*p - 21. Let u be x(-8). Let c = 3 + -1. Suppose -u*o = -c*o - 5. Solve -o*r + 15 = -0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.853 + 18.853. Which is the closest to -2\/5? (a) -0.8 (b) u (c) 4 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeecdcrecddgve. Give prob of picking 1 r, 2 d, and 1 v.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 52\/5 of a millennium?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3566313 micrograms to nanograms.\nAnswer: 356.6313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50749 (base 11) in base 5?\nAnswer: 4332410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, v: 11}. What is prob of sequence kv?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3222941876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 2*y - 16, 135*y = -h + 137*y + 1 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -189 - -190. Let r(c) = 11*c**3 + 3*c**2 - 3*c + 1. Let q be r(m). Solve -3*s - q + 6 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359971916 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 1 - 0. Let c(g) = 14*g**3 - g. Let i be c(a). Let b(z) = 23*z - 3*z**2 + 1 - 11*z - i*z. Calculate b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*r + 278 - 278 to l*r + f and give l.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, h: 2, b: 3, s: 2, m: 3}. What is prob of sequence ml?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*s = 4*u - 66, 0 = u - 4*s. Let m be ((-3)\/2)\/((-6)\/u). What is the units digit of m - 1 - (-2 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by 697.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c + 104*c - 20*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47666609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/2 + s**3 - 111*s**2\/2 + 54*s.\nAnswer: s*(s - 9)*(s - 1)*(s + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*k**5 + 9*k**5 - 7*k**5 + 0*k**2 + k**5 + 0*k**2 + (-2 + 2 + 1)*(2*k**5 - 4*k**2 + 4*k**2) - k**5 - 10*k**2 + 10*k**2.\nAnswer: -5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 c when three letters picked without replacement from rrfrerecerrg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8161?\nAnswer: 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 132 = -72. Suppose b*w = 10*w - 40. Let v be w\/15*6\/(-2). Solve -4 = -v*y - 4*l, 5*y - l + 17 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 571, 1032, 1367, 1582, 1683, 1676, 1567, 1362?\n\"Answer: g**3 - 69*g**2 + 661*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0057660247 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**2 + 3*j. Let x(i) be the first derivative of 4*i**3\/3 - i**2 - 2. Let u = 2 - 0. Calculate u*b(y) + 3*x(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24243 (base 6) to base 14\nAnswer: 141d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15643156 by -823324.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 85128269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.179 - -2.179. Let h(i) = i**3 - 2*i**2 - 2*i - 1. Let g be h(-1). What is the closest to g in -4, 0.5, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 630662, 0.4, 2\/7, 4, 0.17, 2, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2482958318 rounded to 4 decimal places?\nAnswer: -0.2483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/8 + 3 + 2\/(32\/68). Suppose f - 4 = 2*f. Let u be 1\/4 - 143\/f. Calculate the highest common divisor of w and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*t*x - 105*t - 7*x wrt x?\nAnswer: -6*t - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23839*q - 17155*q + 25762*q + 16434*q.\nAnswer: 48880*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -204 + 220. Suppose 25*r - 54 = u*r. Solve -r*g - 8 = -10*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33877556 and -0.3?\nAnswer: 33877556.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -78. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6582408577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**2 + 244*i + 992. Calculate the least common multiple of 28 and c(-4).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 4 = -12*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (333\/74)\/(-3)*16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9647 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttetttettttteette. What is prob of sequence tee?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.093, 5660, 0.3, 19?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaoo when four letters picked without replacement from aoaaaoaaoaoao?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**1)**(-49)*g\/(g\/(g\/(g**2*g)))*g**6\/g assuming g is positive.\nAnswer: g**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-198) + (-273)\/(-924) + 2\/8?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012111 (base 5) to base 12.\nAnswer: 9697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/4 - -1 - (-724)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 642 and 363586.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -63, -124, -181, -234?\n\"Answer: 2*y**2 - 67*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1290 - -1323. Calculate the remainder when z is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 - -2642305?\nAnswer: 2642345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/95 and -19\/145?\nAnswer: 2755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from {m: 1, v: 3, w: 2, j: 1, f: 5, g: 8}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 9:24 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u. Let r(l) = -1. Let p(z) = 7*z - 2. Let b(a) = p(a) - 2*r(a). Determine b(w(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 221*n + 4. Let d be o(1). Suppose -2*c + d = -125. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3269467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Suppose f = 5*j + 15, -2*b - 4*j + 2 + 0 = 0. Let s be 20\/15*7*3. Calculate the highest common divisor of b and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -511\/72 + -16\/9. What is the common denominator of 267\/1*(-4)\/(-168) and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930444 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 12, 23 = -2606*u + 2607*u - 5*q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -907, -1139, -1769, -2995, -5015, -8027, -12229, -17819?\nAnswer: -24995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*f**2*m**2*v - 7*f**2*m*v**2 + 7*f*m**2*v**2 - 11*f*m*v**2 - 2*m*v + 2*v**2 wrt f?\nAnswer: -118*m**2*v - 14*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33220, 42565, 51910, 61255?\nAnswer: 70600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(-1)\/6*-2. Let y(j) be the second derivative of 0*j**3 + 0 + 0*j**2 + 0*j**4 + 1\/10*j**5 + j. Calculate y(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*h = 88, -2*h - 2*h = -2*y + 38. Let u(o) = 3*o + 2. Let j be u(5). Calculate the greatest common factor of j and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54945 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.13, 4\/3, 4, -14 in decreasing order.\nAnswer: 4, 4\/3, 0.13, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*m**2 - 266*m**2 + 116*m**2 + 512*m**2.\nAnswer: 456*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*v - 538*v - 1788 = 2476 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(40\/(-30)*1\/16). Suppose -11*s = -g*s + 251. What are the prime factors of s?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -29*j + 211. Let f be w(7). Put f, 3, 5, 0 in descending order.\nAnswer: f, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4705)\/9930 + -1 + (-16)\/(-12) and 67\/22.\nAnswer: 7282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*((6*w**3 - 3*w**3 - w**3)*(10 - 21 + 22) + w**3 - 2*w**3 + 2*w**3 + 0*w**3 + w**3 - 3*w**3).\nAnswer: 42*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -5\/2*t**2 + 0*t**3 - 6*t - 3 - 2*t**4. Let g be (-3 - -4)\/((-1)\/6). Let y(h) = h**3 + h + 1. Calculate g*y(q) - z(q).\nAnswer: 2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 + 3. Let t = -5436 + 5436.5000096. Let j = h - t. What is j rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 - 2.05. Round n to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 6 = 0, 5*o - 5*y - 1459 = 536. What is the remainder when o is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.571 - -57956.\nAnswer: 57955.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -47. What is the remainder when 118 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.161 + 4.161. Which is the nearest to 0.1? (a) 24 (b) 3\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1153.2 + 1153.37014. Let h = 0.15 + 0.02. Let l = h - b. What is l rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 145. Let f be d(-8). What is the highest common factor of 391 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-6)\/4)\/(3\/(-308)))\/2. Is -2*(2\/(-9) - h\/18) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 34. Let o = -6 - i. Which is the nearest to 1? (a) o (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a millennium in centuries?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-30) + (60\/25 - 2). Let z(l) = l. Let d(w) = -2*w**2 - 12*w - 2. Calculate m*d(b) + 10*z(b).\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -241751, -486063, -730375?\n\"Answer: -244312*y + 2561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 + 327*t - 2778. What is s(-73)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*t - l + 208, -4*l = -t + 101. Suppose 12*b + 37 = t. Solve 0*g - 3*g - b = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1931 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1484 + 2 + 2 + -6. Let n = z + -475. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and -12.25646.\nAnswer: 9.805168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 7*k - 8. Let s be y(-5). Suppose 11 = -n - 6*u + s*u, 5*n + 2*u = 17. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40\/99 + -2\/9. Which is the biggest value? (a) -1\/4 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 22*k - 9. Suppose -2*o + 5*j = -310, -j - 316 = -2*o + j. Calculate the remainder when o is divided by r(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792152 divided by -2?\nAnswer: -396076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*r = -19, -6 = -2*o - 3*r + 5*r. Suppose -2*y = -2*j + 12, y - o*y = 4*j. Sort 1, j, 0 in ascending order.\nAnswer: 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000045777 rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(45)\/(sqrt(3)*3))\/(sqrt(15)\/(sqrt(720) + (sqrt(720)*6 - sqrt(720)))))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 103 - -38453?\nAnswer: 38556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79\/(-553) + 36\/154.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 333, 5, 3, -4 in ascending order.\nAnswer: -4, 3, 5, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 196*f**2 - 487*f - 19210. Determine l(-194).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32945?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/(-18) - (-1)\/3. What is the derivative of 5*k + c*k - 3 + 6 - 6*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*m*p**6 - 2*m*p**3 + 108119*m - 219330*p**3 + 9*p**2 wrt p.\nAnswer: -9960*m*p**3 - 12*m - 1315980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3969801 less than -555?\nAnswer: -3970356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 1)*(686*j - 86117 + 86117) as h + p*j and give p.\nAnswer: -1372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + 0 - (-336509959 - (68 - 33)). What is r rounded to the nearest 1000000?\nAnswer: 337000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from xtbolplox.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 294967896 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.96433 rounded to 2 dps?\nAnswer: 13.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -16 - (89 - 79)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1255847497122 + 1255834150811.99786. Let y = h - -13346449. Let n = y + -139. Round n to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 492 or 1\/4?\nAnswer: 492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-3 + 3 + l) + (189 + 145 - 389)*(3*l - 3*l - 3*l) + 18*l + 2 - 2.\nAnswer: 184*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.09 + 0.91. Which is the closest to -0.1? (a) g (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88934866?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1784*y - 171749 + 7621 for y.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*f**2 - 105 + 3*f - 26*f**2 - 19*f**2 + 62*f**2 in the form t*f**2 + c*f + n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2652 + 3842. Let w = 760 - r. Round w to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2680544 is divided by 1340193.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.1 + -223.1. Let m = s - -187. Which is the third smallest value? (a) -1\/3 (b) -0.05 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3444 - 6757 = 230*s + 12097 for s.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 12 = -51. Suppose 0 = -26*o + 115*o - 40*o - 98. Sort -4, o, b in increasing order.\nAnswer: -4, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*b**3*x**3 + b**3*x**2 - 83*b**3*x + 2*b**3 + 21*b**2*x**2 - 6706*b*x**3 wrt b?\nAnswer: -48*x**3 + 6*x**2 - 498*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 - 3.3. Which is the nearest to 0.2? (a) k (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 26*g + 48. Let x be 1155\/49 - (-6)\/14. Let v be w(x). Solve v = f - 3, -5*b = f - 15 + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-406)\/(-16) - (-1346 + 1372).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 15 = 0, 33 = -16*d + 11*d - x. Let a(v) = -v**3 - 5*v**2 + 10*v + 8. What is a(d)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 4*n**3 - 5 - 5)*(2 - 2 + 3 + (4 - 4 - 1)*(0 - 1 + 2)).\nAnswer: 8*n**3 - 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Let c(d) = 0*d - 4*d + i*d - d - 1. Determine c(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 51966 + 25572 + 26394.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 6*a**2 - 4*a - 2. Let p be k(5). Suppose p*c - 8 = -2. Solve 3*q - c = 2*n, 2*n + 4*q - 14 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 402715033 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8045?\nAnswer: 5, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.4 - 7. Let k = 1 + m. Let j = -0.03 + -0.07. Which is the nearest to 1? (a) -1\/2 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 88717819 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 82*s**2 + 102*s + 125. Let o be t(-89). Round o to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 417968401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 3*s**2 - 12*s. Let f be w(-5). Solve f = -d - 5*v, -3*d + 26 = -v + 8 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, 2, 6.\nAnswer: 2, 6, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 104 = -0*n. Suppose -2*c = -14 - n. What is the lowest common multiple of c and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 500*g**3 - 9 - 979*g**3.\nAnswer: -1479*g**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/14)\/((-20)\/280). Solve 6*r = 2*r + x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + -1 + 48\/(-72)*39 + 13?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 23*o**2 - 102*o - 167. What is y(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hgggdaag. What is prob of sequence agag?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 450957 or 451003?\nAnswer: 450957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5674.353nm in meters?\nAnswer: 0.000005674353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 6*z**2 + 6*z**2 + (3*z - 3*z + z)*(-z - 6*z + 0*z) - 4*z**2 - 3*z**2 + 5*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.07, -17, 20.\nAnswer: -17, 0.07, 0.5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 2 - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(9 + -11 + 4\/(-3))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 - 12*g**4 + 22*g**3 + 84*g**2 + 49*g.\nAnswer: g*(g - 7)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 6*k**2 + 8*k - 5. Let u be b(7). Let r(o) = 5 + 2*o**2 + u*o + 2*o**3 + o**3 - 4. Determine r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1 - 2*r**2 + 0*r**2 + 2*r**2 - r**2 + 5*r. Let l be v(3). Suppose 0*b + 1 = -5*b - 4*c, 3*b + 4*c + l = 0. Sort -4, 0.4, b in decreasing order.\nAnswer: b, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -29.2.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1368422 and 4873.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/(-33))\/((-4)\/(-6)). Is (n + 2472\/(-16))\/(2\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 5) + (1 - 11) + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11))**(-3\/41)*(b\/(b*b\/(b\/(b*b\/b**2)*b))*b*b)**(-8\/5) assuming b is positive.\nAnswer: b**(-10854\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203428965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13616*z**3 + 1496*z**3 - 1969897*z + 1969897*z.\nAnswer: 15112*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 768.5536 to one dp.\nAnswer: 768.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - -7 - ((6 - -9) + 14 + -8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5540?\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50490.18ns to hours.\nAnswer: 0.00000001402505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1591 at most -1593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 617 and 1233383?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 57 = 3*t, 5*t - 862*u + 67 = -859*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 6. Let r be (15\/(-6))\/(2\/4). Let t be w(r). Let h be (t\/(-2))\/((-2)\/8). Sort h, -0.4, 2\/11 in decreasing order.\nAnswer: 2\/11, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*h, -2*g = -4*g + h + 40. Suppose -4*l = 21 + g. What is the units digit of (-232)\/l - 8\/40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 + 8*j + 2. Let r(c) = 11*c**2 - 17*c - 4. Let z(f) = -13*k(f) - 6*r(f). Let a = 8 - 6. Let o(u) = 2*u**2 + 5*u + 5. Give a*o(m) + 5*z(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**6\/40 + a**5\/120 + a**4\/24 + a**3\/3 - 5. Let d(k) be the third derivative of p(k). Give d(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321218743?\nAnswer: 53, 613, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (50 + -70 + -94)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 8 = -7*c, 4*w - 5*c = 2888. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26582 - 44523. What is u rounded to the nearest 100?\nAnswer: -71100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -2 + (-1 - (10 + -4)) - 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/640*-2*1)\/1\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -158b (base 14) in base 3?\nAnswer: -12021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (-4 + 3 - -517). Let p = n + 1005. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**5 + 335*s**4 - 8130*s**3 + 79380*s**2 - 145800*s - 1399680 = 0. Calculate s.\nAnswer: -3, 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 5:26 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 17508510*t - 105050880.\nAnswer: -5*(t + 6)*(t + 3501696)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 28 + 9*v - 17*v + 8*v. Let u be l(8). What is the second derivative of 3*n**4 + 58*n - 3*n**u - 91*n - 27*n**5 wrt n?\nAnswer: -540*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26713 - 9252. Suppose -21*q + 2*q = -m. Does 45 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -25*a. Let i = 29 + -30. Let k = -17 + 13. Let h(g) = g. Let t(u) = -7*u. Let n(l) = i*t(l) + k*h(l). Calculate n(x(q)).\nAnswer: -75*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*4\/4*-1. Is l bigger than -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608687 is divided by 151?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*p**2 + 83*p**2 + 72*p**2 + 79*p**2 - 308*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7489941 is divided by 792.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168 divided by -6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gygvyggy. What is prob of picking 1 v, 1 y, and 2 g?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*g**2)*(71 - 71 - 13*g - g + g + g + (4 + 0 - 3)*(g - 2*g + 2*g)).\nAnswer: -22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 192.9 and -0.05.\nAnswer: -9.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 8*g**2 - 7*g + 1. Let v be k(7). Let t be v + -3 + 3 + -21. Let s = t - -17. Put s, 5, 3 in decreasing order.\nAnswer: 5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 3, s: 3, k: 1, t: 1, h: 2}. What is prob of sequence sgh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -39*k**3 + 6*k**2 + 1. Let r(l) be the first derivative of -39*l**4\/4 + 5*l**3\/3 + l - 7325. Determine -6*r(q) + 5*z(q).\nAnswer: 39*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1730758?\nAnswer: 2, 865379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 282592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*t = -17*k + 319, -345*t + k = -344*t + 20 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*c + 31372 + 416 = -1983*c - 101*c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -35. Let o be (r + -1)\/((-4)\/(-6)). Suppose 0 = -o*k + 5*k + 8. Which is the closest to k? (a) -1 (b) 0.4 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -120.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 97 - 108. Suppose -q = -5*f + 49. Calculate the highest common factor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366397?\nAnswer: 366397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-3 + 3 - 3*m + (m - 5*m + 2*m)*(2 - 3 + 2) - m + 3 - 3).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 7*z + 33*z - 43*z - 16 = 0, -5*z + 242 = 185*f - 698 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 601 = -379. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -5*s. Suppose -v - 3*h = -62, s = 8*v - 6*v - 5*h - 157. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 3 = -2*k + 165*r - 173*r - 4, r = -k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/7 and -35\/3376904?\nAnswer: 23638328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 375, 248, 121, -6, -133, -260?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1253360 and -33\/3133400?\nAnswer: 6266800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0478 - 8.0322. Let f = -8 - c. What is f rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2373 (base 12) to base 4\nAnswer: -332013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/16101 and 97\/21468?\nAnswer: 64404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 12*v**2 - 12*v + 28. Let y be p(-13). Suppose 5*m - t - y = t, 141 = 2*m - t. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 10*a + 7. Let b be g(9). Let k be ((-24)\/18)\/(b\/3). Solve -9*p**3 - 2*p**k + 5*p**2 + 10*p**3 = 0 for p.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from {l: 2, q: 1, h: 1, x: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 85543108 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8218759, -32875042, -73968847, -131500174, -205469023?\n\"Answer: -8218761*x**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**6\/72 - s**3\/3 + 1. Let a(d) be the third derivative of k(d). Let r(t) = 160 + t - 160. Determine r(a(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 34. Let b be 4 + (-1)\/(x\/(-46)). What is the smallest value in 2\/7, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - 1 + 3 - l**3 + (0*l + 0*l + 3*l)*(-2 - 4 + 4)*(-14*l**2 + 31*l**2 + 34*l**2) as c*l + i + k*l**2 + q*l**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -33027, -32346, -31641, -30900, -30111, -29262, -28341, -27336?\n\"Answer: 2*d**3 + 667*d - 33696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0256772251 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*o - 4086 = 3203 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 - -245. Suppose -15*b + j = -3*b. Solve -i - b*i = -4*t - 28, 0 = -4*i + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(3*20)*(-468)\/429*99\/(-306)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + 5 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 79. Find the common denominator of -83\/10 and (-5720)\/(-40)*(1\/k - 0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 4*f - 4*f + (4*f + 2*f - 5*f)*(4 - 2 - 1) - f - 8*f + 0*f + (-1 + 2 - 3)*(9*f + 2*f - 2*f).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 672675 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-2282)\/168 + (2 + 0)\/(-8).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2*s + 2 = -10, 2*z + 3*s + 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f + 140 = 3*x, 2*x = -5*f + 135. Solve -5*o = -5*p - f, -6*p + 5*o - 21 = -2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1647, 6871, 12095, 17319?\nAnswer: 22543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*((-152)\/760)\/(4\/9670) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x - 61*x + 297 = 0. What is the remainder when 459 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 1\/5 (c) -2094\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-12 + (-21 - -10) - -28) + -105\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 667 divide 55748527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/10 and 5\/40*(-4 - -9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14932, 14972, 15010, 15022, 14984, 14872, 14662, 14330?\n\"Answer: -4*i**3 + 23*i**2 - i + 14914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 2:58 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -2\/3, -1, 38, -0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1622 - 3242 + 44*i**2 + 1636)*(-i - 4*i + 3*i) to y*i + g*i**2 + k*i**3 + z and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -2 + (-1 + 4 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 719 - -2591. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 1\/5 (c) -47168.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by -17402?\nAnswer: 51\/17402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44 + 4?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 - 30*c**2 + 31*c + 12. Calculate the lowest common multiple of 4446 and z(14).\nAnswer: 13338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107644?\nAnswer: 2, 17, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lppkkdpkfdkpsks. What is prob of sequence ssk?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 159*j**2 + 156*j - 465. Determine q(-160).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39731505 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-864)\/5760*8)\/(2\/35)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1)\/((-11)\/22). Let j(s) = s + 3. Let f be j(0). Suppose x = -0*z - 4*z + f, -3*z + 31 = -5*x. Solve -2*k - z = i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/8369634 and -25\/157628107.\nAnswer: 945768642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = a - 12. Let b(n) = -4*n**2 - n**2 + 0*n**2 + 6*n**a. Let i(g) = 3*g**2 - 25*g. What is i(b(z))?\nAnswer: 3*z**4 - 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = -8. Suppose -3*a + a = -h. Let i(y) = -a*y + y**2 + 4*y - 4 + 0*y**2. Determine i(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b**2 + 162*b - 14. Determine f(20).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11255 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-35) - (-247)\/(-455).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/4? (a) 0.09 (b) -581 (c) -102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, x: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8160*t + 726879 = -2726*t + 3767*t for t.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 20*w**2 - 4*w + 8. Let i(x) = -3*x**2 + x + 1. Give -g(t) + 5*i(t).\nAnswer: -35*t**2 + 9*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4*v + 55*i**4 + 3*i**3*v - 72*i**3 - 9902*i**2*v - i*v - 6 wrt i.\nAnswer: 48*i*v + 1320*i + 18*v - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 32025*c - 479700.\nAnswer: -3*(c - 10660)*(c - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4 - 5 - 17843*t.\nAnswer: -17843*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 144052 (base 6) in base 12?\nAnswer: 8028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 317 + 296 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k**3 - 381*k**2 + 1110*k + 504 = 0. What is k?\nAnswer: -28, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 = -4. Let q be 4\/((-9)\/y - 2). Factor -q*b**3 - 2*b + 2\/7*b**5 - 4\/7 - 16\/7*b**2 + 4\/7*b**4.\nAnswer: 2*(b - 2)*(b + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**2 - 6*d**2 - 6*d**2 + 3*d**2 + 2*d**2 - 4*d**2 + 0*d**2 + 2*d**2 + 0*d**2 + (-2 + 2 + d)*(-2 + 2 + 2*d) - 39*d + 4*d**2 + 67*d - 31*d.\nAnswer: d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 11*c**2 + 13*c - 4. Calculate y(-10).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 261\/315 - (-4)\/(-10). Sort d, 2\/11, -2\/5 in increasing order.\nAnswer: -2\/5, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143630548 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-513)\/(57\/3)))\/((-2)\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, y: 1, u: 11, o: 1}. What is prob of picking 1 u and 2 j?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*2*(-5 + sqrt(13)*-1).\nAnswer: 10*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, o: 2, s: 3}. What is prob of sequence so?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.78 - 2.3. Let f = v - -0.02. Let y = 7 + -7.3. What is the biggest value in f, -3\/5, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 4. Suppose -33 = -5*p + 2*o, 2*p + 0*o = -3*o - 2. Let i(a) = -p*a + 2*a + 5 + a. Let f be (-30)\/6*4\/5. Calculate f*i(t) + 5*g(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/3*3*(-1)\/12. Suppose -q*d + d = 3*x - 190, 187 = 3*x + 5*d. Is (-4)\/(-1)*x - (12 + -9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1057, 2116, 3177, 4240?\nAnswer: 5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10095.1 and 0.07.\nAnswer: 706.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 18*-517132\nAnswer: -9308376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 10 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 261*f**4*m**2 + 36*f**3*m - 2*f**2 - 30*f*m - 232*m**2 wrt f.\nAnswer: 3132*f**2*m**2 + 216*f*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 11 + 5 = 0. Are w and -4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 5.85597888?\nAnswer: 5.65597888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 14*j + 47. Let g be x(3). Let n = 38 + -153\/4. What is the closest to n in -0.08, g, 3\/5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**2 - 64*f - 23. Let r(p) = 13*p**2 + 193*p + 70. Let w(g) = 4*r(g) + 11*u(g). Let h be w(23). Solve h*z - 12 = -0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76972 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5068787 is divided by 55?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 108.9 * 4\nAnswer: 435.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - 4. Let h(p) = -9*p - 6. Suppose -3*w + 240 = -3*n - 0*w, -3*w = 0. Let k = n + 114. Suppose 4*x + k = 14. Calculate x*h(c) + 7*b(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2435 - 3*a**2 - 2435. Let b(n) = n. Let h(j) = -62*j**2 - 4*j. Let c(l) = 4*b(l) + h(l). Calculate c(d(r)).\nAnswer: -558*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2 - 11*z**2 - 20 + 11 - 2*z**3 - 6*z. Let w = 5 - 1. Let i(c) = -2*c**3 - 10*c**2 - 6*c - 6. Let m(t) = w*r(t) - 5*i(t). Solve m(n) = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/11 (b) 1.39 (c) 1 (d) -0.1 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42498\/5*(-1705)\/(-1023)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c77cf + -1?\nAnswer: c77ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 - 77. Let v be (8 + (-19 - -9))\/(q\/(-10)). Solve 0 = -b - 3*o + 8, v*b - 5*o + 20 = -0*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*4\/(48\/52). Suppose 0 = 3*i + p + 92. Find the common denominator of 119\/10 and ((-518)\/i)\/7 + -2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 8*h - 15. Let p be b(12). Let o = 120 - p. Suppose f - o = -3*s, -4*s - 3*f = -2*f - 116. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 3*z. Let h be u(2). Suppose -t = -h*t + 14. Suppose 0 = g - t - 68. Is 32 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**4 + 2*j**4 + j**4)*(6*j + j - 5*j) - 5*j**4 - 3*j**5 + 5*j**4 - 55*j**5 + 15 - 15.\nAnswer: -56*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019701 rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -244*d + 131. Let z(o) = 86*o - 44. Let s(y) = -6*n(y) - 17*z(y). Give s(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(320)*-4 - sqrt(320))**2.\nAnswer: -400*sqrt(5) + 8025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/7)\/1*-2. Calculate the highest common divisor of g and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.410917 micrometers to millimeters.\nAnswer: 0.004410917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/340340 and 51\/40040?\nAnswer: 680680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436 + 131 = -81*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205 - 149. Calculate the remainder when v is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (354\/(-1888))\/((14\/40)\/(-7))\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*p + 8*p + p**2 - 4*p**3 + 14*p**4 + 5*p**3 + 2*p**2 + 19*p to d*p**3 + a*p**4 + q*p + s + j*p**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108153148?\nAnswer: 2, 967, 27961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4901*p**3*x**4 - 2*p**3*x - 35225*p**3 + 2*p**2*x - 17*p*x**3 + 36*x wrt x.\nAnswer: -58812*p**3*x**2 - 102*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-558)\/(-45) - 12) + 2\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/3 (b) -288 (c) 2\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 12*i - 22. Let r be u(-9). Let p(x) be the second derivative of -1\/48*x**4 - r*x - 9\/8*x**2 + 0 + 1\/4*x**3. Factor p(n).\nAnswer: -(n - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 14*p**4\/3 - 41*p**3\/2 + 105*p**2 - p. What is the derivative of x(n) wrt n?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8594 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11202012 (base 3) in base 10?\nAnswer: 3461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-70)\/(-8) + 8\/32. Suppose -5*d - 4*x = -8*d + 11, 5*d - 3*x = 0. Let y = d + 6. Calculate the greatest common divisor of y and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (53 - 101 + 56 - 7*i**2)*(2 - 4 + 0) as z*i**2 + n*i + l and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4*8\/(-42). Which is the biggest value? (a) -12 (b) 3\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -1)\/((-2)\/(-6)). Let h(v) be the first derivative of 25*v**2\/2 - 5*v + 1. Let n be h(c). Round n to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2914 + 6750 - 1029)*(2*x**5 - 2*x**3 + 2*x**3).\nAnswer: 17270*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 13*z - 2120. Suppose -16*q + 39 = -z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1185 (base 9) in base 5?\nAnswer: -12022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 11*j = 120. Let l be 4\/j - (-62523)\/135. Suppose l - 107 = 4*d. List the prime factors of d.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1681, -3046, -4411?\nAnswer: -5776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 31237303 = -2*w, 4*q - w + 3*w = 41649756. Let l = 8087563 + q. Suppose -7*k + 2*k = -l. Round k to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22291\/15 - 4460\/3. Let a be (-5)\/(-7) - (1 - 0). Let k be ((-8)\/12)\/(2\/15). What is the nearest to a in j, 4, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 3 (c) 8\/2201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0 - 10*v**2 + 1\/12*v**4 + 0*v + 0*v**3. Let m(p) = 4*p. Give m(a(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-826)\/(-98) + (-4)\/(-7). Calculate the highest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248267*f**3 - 248259*f**3 + 496529*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16.6? (a) -3 (b) -5 (c) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 777 divided by -16137\nAnswer: -259\/5379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.179 and -25.1321.\nAnswer: -24.9531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001101 + 10?\nAnswer: -110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 949799001?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a day in minutes?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23439918 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-10)*(-48)\/(-62400)*-50*12*-10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2155.\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 64?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6292) + -1 - (sqrt(52)*1 + sqrt(52) + -3).\nAnswer: 2 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-3))\/((-14)\/21). Suppose z - 15273 = -o*a, -6*a + 5*z + 38160 = -a. Suppose -5*g = 69865 + a. What is g rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -75*x + 8494. What is the lowest common multiple of f(70) and 40?\nAnswer: 32440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + z. Let x be r(1). What is the units digit of 1*19 - (-3 + x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/88, -14, -0.76?\nAnswer: -3\/88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30512?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -13*y**2 - 5*y - 4. Let v(a) = -3*a**2 + a + 1. Determine -2*v(r) - z(r).\nAnswer: 19*r**2 + 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(6\/(-8)) - -9. Solve -3*r = -4*v + c, -5*r + v = 12 + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**3 - 3*b**4 + 8*b**4 + 61*b**2 - 3*b**3 + 49 - 47 wrt b?\nAnswer: 120*b - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000713 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1334 - 2023412?\nAnswer: -2022045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 1, n: 1}. What is prob of sequence on?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5796 + 2097*o - 4252*o + 2157*o to a + p*o and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 + 371*l - 1226. What is y(-125)?\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3494931197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f - 6*f + 6*f - 6 + 19.\nAnswer: 8*f + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1282 + 430. List the prime factors of g.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -516 + 504. Let j = 73\/4 + -18. Which is the nearest to v? (a) j (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 13\/(-3) - -5 - 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 6:29 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 176393?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 6 + 21 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14 and 0.04.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 2, b: 2}. Give prob of picking 1 q and 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 - 2 - -3 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1278092.2\nAnswer: -1278088.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 519 = -5*h, -2*p = -5*h + 2*p + 516. Suppose 3*q - 5*r = 67, -q + 3*r + h = 3*q. Let m = 82 - q. What are the prime factors of m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33223, 66450, 99677?\nAnswer: 132904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*w**3 - 104*w**2 + 596*w + 24 = 0 for w.\nAnswer: -3, -1\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 - -99. Sort v, -2, 1, 3.\nAnswer: -2, 1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtl when three letters picked without replacement from {l: 3, t: 3, w: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - -8 - 3) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/6 + (1\/2 - 1). Suppose -8*q + 257 + 255 = n. Let g = q + -62. Solve 0*j + 4*b - 8 = 2*j, j + 4*b = g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -28 - (-2 + (0 - 5) + 110 + -101)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3886 and 86162.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.61 - 20.61. Which is the smallest value? (a) 0.8 (b) j (c) 4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**3 - 11*q**2 - 31*q + 135. What is the remainder when r(6) is divided by 61?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 732601, 732602, 732603?\n\"Answer: u + 732600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 37*j**2 + 128*j + 96. Give s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -231*p + 4. Let c(y) = 4*y + 3. Calculate c(k) - g(k).\nAnswer: 235*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1556, 0.63, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b09 + -36a?\nAnswer: 476c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -5*z - 4, 10*t - 247 + 287 = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 5. Let u be g(9). Suppose u*f - 3*a = 2*a + 1323, f - 5*a = 312. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - 1 - (160 + -168). Let p(v) = -74*v**2 + 4*v + 6. Let h be p(-5). Let i = -139798\/75 - h. Which is bigger: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 20, -2, 0 in decreasing order.\nAnswer: 20, 5, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8647aa (base 12) to base 13\nAnswer: -5944b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21273 and 6629?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) -0.3 (b) 0.1 (c) 3\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 65 + 66 - 2*u**2 + 22*u)*(31*u - 25*u + 51*u) + 0*u**3 - 3*u**3 + 0*u**3 as j*u**3 + b*u**2 + i + v*u and give b.\nAnswer: 1425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130 + (39 - -79) + (-1 - -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-8)\/(128\/(-24))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1065, 4, 2\/9, 1\/2, 28 in descending order.\nAnswer: 1065, 28, 4, 1\/2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-287 - -311) + (0 - 4) + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-254)\/4)\/(3\/6). Let t = y - -185. Round t to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5, 0*d = -2*i - 3*d + 1779. Suppose -5 = -5*x + 5. Suppose x*r - z = 254 + 184, 0 = 4*r + z - i. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**6\/15 - 7*x**4\/24 - 2*x**2. Find the second derivative of a(t) wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l + 10120*l**3 - 10051*l**3 - 3*l - 578 wrt l.\nAnswer: 207*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127050019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1382*-1.1.\nAnswer: -1520.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 b when four letters picked without replacement from {q: 8, b: 5}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-228)\/(-4788))\/(1\/(-8)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2 + 2*sqrt(208) - (sqrt(208) + 3*(0 + sqrt(208)))) - 6*(2*(2 + sqrt(208)) + -5)) + 2)**2.\nAnswer: -1120*sqrt(13) + 40868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218679?\nAnswer: 3, 72893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2514049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*f + 194 + 778, f - 2430 = 5*p. Let q be (p\/216)\/((-3)\/(-2)). Which is bigger: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p = -76. Suppose 0 = -3*c - 6, -v - 5*c + 10*c = -105. Calculate the highest common divisor of v and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 u when three letters picked without replacement from uulllllu?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5341?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -64*z**2 + 125*z + 11. Let c be q(2). Let m = -26 - -40. Solve 0 = 3*t + j + m, -5*t + c*j + 1 = 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 113.5 - 0.4.\nAnswer: 113.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -2. Let t(o) = -o - 5. Let c be 4\/18 + 16\/(-72). Let d be t(c). Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 14*j**3 + 52*j**2 + 66*j + 27.\nAnswer: (j + 1)**2*(j + 3)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8276 and 36.\nAnswer: 74484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-260)\/(-507) + 7\/(42\/(-4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let x(l) be the third derivative of 11*l**4\/24 + l**2. Give x(g(q)).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885633 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288525 by 75.\nAnswer: -3847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8132 + 8223. Which is the biggest value? (a) i (b) -5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.21 + 0.11. Let v be 4\/(-6)*-3 - 25. Let m = v - -47\/2. What is the third biggest value in m, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 16 = -0*k. Which is smaller: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2006 and -6.417.\nAnswer: -6.2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4998 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: In base 9, what is -27234 - -11?\nAnswer: -27223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 147387664 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.642 and -0.07?\nAnswer: -0.11494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32730 divided by -15?\nAnswer: -2182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/81 and -50\/25731?\nAnswer: 77193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9*z - 50. Let i be s(6). Suppose -b + 4*x + 45 = 0, -21 - 61 = -2*b + i*x. Calculate the greatest common factor of b and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 368 + -371. Let a(i) = -2*i - 7. Give a(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 9169*l**4 + 14*l**2 - 3062. Let j(c) = 9169*c**4 + 12*c**2 - 3060. Let x(y) = -7*j(y) + 6*s(y). What is the derivative of x(u) wrt u?\nAnswer: -36676*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/90 and -137\/3357620.\nAnswer: 30218580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3267 + -3263. Solve 0 = 1170*m - 1166*m + v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q - 56. Let g be y(-12). What is the hundreds digit of -4*(-2 - -3) - g*-37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 3:02 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taaawptwwtpptwpwttpa. Give prob of picking 1 a and 1 t.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (0 + 44\/33). What is the third smallest value in t, -0.1, -0.4, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -358, -337, -316?\n\"Answer: 21*i - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0 (b) 0.07 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 349*l - 4. Let h(q) = 30711*q - 353. Determine 4*h(c) - 353*t(c).\nAnswer: -353*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 6321421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2. Let l(r) = -2*r - 1. Let p(j) = 34*j - 5. Let o(v) = -5*l(v) + p(v). Give o(h(w)).\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.262 + -0.138. Which is the second smallest value? (a) 2 (b) 0.6 (c) -2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 255476?\nAnswer: -19\/255476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 869 and 9954.\nAnswer: 109494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 13. Let l = m - -3. Solve l + 6 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-18))\/(2\/210). Suppose 0*v + 2*v - l = -3*q, 4*q = -2*v + 30. Suppose 5*t - 5*z - v = -6*z, 2*t + z = 13. Solve -14 = 2*m - t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t - 79*t + 25*t - 65*t + 35*t + 32*t + 27*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**2. Let l(q) = -1686*q. Determine l(j(y)).\nAnswer: -10116*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 44. Is -24 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 518 divide 15125082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14885.67 litres in millilitres?\nAnswer: 14885670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562759120 a multiple of 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 118 = 0. Let o = -27 + h. Suppose -o = -2*s - 8. What is the greatest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, 1\/10, 0.006 in decreasing order.\nAnswer: 1\/10, 0.006, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llbblblllllbblblll?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.03 + -102.03. Let y = b + 28. Let f = 83 + y. Put f, -2\/11, -3 in decreasing order.\nAnswer: f, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106.2 + 106. What is the fourth biggest value in 3, 1\/3, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 47.74346 meters?\nAnswer: 4774.346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000 (base 2) in base 14?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -135032110 and -4.\nAnswer: 540128440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 186 or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -2*o**5\/5 + 33*o**4\/2 - 60*o**3 - 4487. Factor k(c).\nAnswer: -2*c**2*(c - 30)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 1. Let j = 10 + -4. What is the remainder when w is divided by (j\/(-9))\/((-4)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 7 = 3*a, 2*a - 4 + 1 = k. Sort k, 1, -1, 4 in ascending order.\nAnswer: k, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 4*c**2 - 3*c**2)*(-c + c + 2*c) + (c**2 - c**2 - 3*c**2)*(-2*c - 3*c + 3*c).\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53.33243l?\nAnswer: 53332.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2640 and 1056?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*c**2 + 3*c**2 + 2*c**2)*(-2299 - 3624 - 305 + 1084) to r + f*c + k*c**2 and give k.\nAnswer: 10288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 805.6296 kilometers?\nAnswer: 805629.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**3\/12 + 149*y**2\/8 + 429*y\/2 + 4811. Factor q(w).\nAnswer: (w + 6)*(w + 143)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x**3 - 13*x**2 - 9*x + 11. Let t(n) = 3*n**3 + 6*n**2 + 4*n - 5. Calculate 6*j(b) + 13*t(b).\nAnswer: -3*b**3 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -4) + -3 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 74*q + 420. What is the hundreds digit of h(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 350 - -4?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8886561 days in nanoseconds?\nAnswer: 76779887040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 + 547\/5. What is the closest to -0.1 in 2\/11, d, -8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -29. What is the remainder when 3\/9*-1*8*1575\/(-42) is divided by k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813243 + 208551 = 8*g - 21590. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1281 and -26.4798.\nAnswer: 33920.6238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.05, 0.2, -128\/7, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwrrvvrrrvvrrlrrrrrr. What is prob of sequence lrl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 557 - 284. Calculate the greatest common divisor of 156 and b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*c + 282, -86 = -2*n - c + 102. Let o = 91 - n. Put 5, o, -8 in ascending order.\nAnswer: -8, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4474 is divided by 161?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gum. Give prob of sequence mu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 495, 3, 2 in ascending order.\nAnswer: 2, 3, 27, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + (-26)\/(-3) + -4 - 31369\/(-39) is divided by 200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -0.0313.\nAnswer: 3.0313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2019 - 2045 - 2043 + 8149 - 2042 + 18*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.8134 to one dp.\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2771637.7 and -0.3.\nAnswer: -831491.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59046*o**2 + 118023*o - 138.\nAnswer: 3*(o + 2)*(19682*o - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*34 - (1 + (1 - 1)). Suppose -f - 274 + n = 0. Let m = 49 - f. List the prime factors of m.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.2 + -0.18229131.\nAnswer: 16.01770869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*(o\/o**(-10))\/o)*o**(1\/11))\/((((o\/(o*o**(-2\/39)\/o*o))\/o)\/o)\/(o*((o*o\/(o*o**(-12)*o))\/o)\/o)) assuming o is positive.\nAnswer: o**(875\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + 8 - 29?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 14 = -9*d + 10*d, -2*d = -27*f - 93 - 35 - 19 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8829, -35249, -79289, -140955, -220253?\nAnswer: -317189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) -9\/53 (c) -4 (d) 0.2 (e) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157079 smaller than 157080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t. Let y(d) = -d**3 + 3*d**2 + 2*d + 3. Suppose q + 3*c + 5 = -3, 0 = -4*q - 3*c + 4. Let r be y(q). Let b(z) = 11*z. What is r*b(i) - 8*v(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 530 = 537 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.013 - 0.013. Let s = -44 + 305\/7. Put a, s, -0.3 in decreasing order.\nAnswer: a, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492007?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87237011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/20304*-94)\/(-5*6\/(-19170))\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 197 + (-2)\/6 + (-25)\/15. Solve -214*f = -y*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**2 - 30*f**4 + 374*f**3 + 28*f**4 - 3470 + 377*f**3 + 2*f**2 wrt f?\nAnswer: -8*f**3 + 2253*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925932241.\nAnswer: 13, 421453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -7526.\nAnswer: -30104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3875a18 (base 11) in base 10?\nAnswer: -6713462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(2\/99)*f*f**(5\/2) assuming f is positive.\nAnswer: f**(887\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.94109 * -4.\nAnswer: 3.76436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 + -55. Suppose -k - 4*p = 0, -5*k + p + j = -4*p. Let z(h) = h**2 + 3*h + 5. Let i be z(-4). Solve 3*w = 5*w + 2*g, k*w + i = -g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 5705 - 2865 + 32*h**2 - 33*h**2 - 2842. Let p(z) = z**2 + 1. Let d be p(-1). What is k(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 3*h**2 + 2*h - 2. Let w(x) be the first derivative of -x**2\/2 + 2*x + 1. Calculate the smallest common multiple of w(0) and r(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 11*d**2 - 2 - 2*d**2 - 3. Let h(u) = 5*u**2 - 3. Let f(v) = 3*c(v) - 5*h(v). Let m(a) = 19*a**2. What is m(f(i))?\nAnswer: 76*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 81382657507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -33*r**2 + 5*r - 6. Let d(k) = 67*k**2 - 11*k + 13. Let x(a) = -9*c(a) - 4*d(a). Let i be x(1). What is the highest common divisor of 20 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76043 is divided by 517?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/((-5)\/(-6)))\/((-39)\/130). Suppose -5*t + 7*t - o = -49, -5*t - 130 = -4*o. Let a be (t\/6)\/(5\/(-15)). Solve m*n = -27 + a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -8\/5, -0.1, 4 in descending order.\nAnswer: 4, 1\/5, -0.1, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d + 44 = 0. Let k(q) = q**3 + 4*q**2 - 1. Let y be k(-4). What is the remainder when (-20)\/y*(-1 + 2) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180 - 190. Let s be (4\/m)\/((-138)\/(-207)). Let b be -3*1\/(-6)*-2. Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f - 1. Let z(k) = -6*k + 2. Let p(g) = -5*o(g) - 4*z(g). Let r be p(-7). Is 69*r\/((-8)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/6*2*(-12)\/112?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1449165 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17229 plus 50548006?\nAnswer: 50530777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -18891.832?\nAnswer: -75567.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -88, -178, -278, -394, -532?\n\"Answer: -b**3 + b**2 - 86*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99923731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*c - 2. Solve 0 = -3*y - 3*o - 3, c*o = -5*y + 4*o + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4539 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 15*l**2 - 2*l - 1. Let w(u) = 7*u**2 - u - 1. What is -9*w(t) + 4*y(t)?\nAnswer: -3*t**2 + t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4016 = 36*g - 26126 - 28286. What is the remainder when g is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.094 + 140.906. Let t = l - 138. Sort -3, 1, t.\nAnswer: -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - 0.3. Suppose 5*y + u = -16, 386*y = 389*y + 5*u + 36. What is the closest to 3 in y, 1\/4, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64721168 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36864 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3 (b) 300 (c) 604 (d) 1\/30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, -2 in decreasing order.\nAnswer: 14, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-7)*(-28924)\/24792\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1658*t**3 + 3*t**2 + 4327*t + 2 wrt t.\nAnswer: 9948*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 0 - 26\/(-10). Let u = -1.66 + -40.34. Let k = u - -41.7. What is the third biggest value in 2\/7, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 13*y + y + 7*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, d: 1, p: 2, l: 1}. What is prob of sequence dp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -259137*u**4 - 2*u**3 - u**2 + 50*u + 374 wrt u.\nAnswer: -6219288*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12743048 is divided by 359.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1510158 and -27\/16108352.\nAnswer: 48325056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + t - 2. Let p be h(0). Let u be (-74)\/(-4)*(p - -8). Let i = u + -8. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5526 and 18?\nAnswer: 5526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l - 1. Suppose -p - 3*p + 5 = -k, 4*k - 12 = 0. Let f(a) = 3*a. Calculate p*j(v) - 3*f(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6852 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4278 - -4277. Which is the smallest value? (a) p (b) -0.3 (c) 0.05 (d) -30 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 0*g - 6*g + 7*g - 2*g + 2. Is j(-1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1752041*c**4 - 1441055 wrt c.\nAnswer: -7008164*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3266 * -2.\nAnswer: 6532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-8)\/(-240))\/3*(-15)\/10.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 = 21*x - 1948. What is the remainder when x is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*i = 21 - 7, 5*i + 26 = 4*b. Suppose 3*f - 14 + 5 = 0. Suppose 2*w - 9 = 2*o - 33, b = 2*o + f*w. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-44)\/(-308))\/((-1)\/(-49)). Let p(a) = a - 5. Give p(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 137 = 103. Suppose -2 = o, -b + 12 = -5*o - 2. Suppose -f = 5*c - 55, -2*f - b*c = -f - s. Is f a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -35*h - 300. What is the remainder when 361 is divided by i(-11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*(-1*sqrt(245) + 5 + -5)*-4)**2.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 806374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0543*0.095\nAnswer: 0.0051585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -503\/8 - -63. Is 0 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*d + 2751*d - 113919 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 933*c**2 + 3091 - 3091 - 805*c**2 + 5*c)*(1 - 3 + 6).\nAnswer: -6952*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**5\/25 - b**4\/10 - 13. Factor g(f).\nAnswer: f**3*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 13.5, -4\/5, 7, -38, 1\/4, 4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-2)\/(-4)*-1. What is the third biggest value in -5, f, -1\/6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2530 = -4*c - 4*s - 2514, -14 = -5*c + s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(2 + s - 2)*(-2*s + 5*s + 8*s).\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 14*o**2 - 14*o + 18. Let i be m(-15). Put 4, -3, i in increasing order.\nAnswer: -3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7904268?\nAnswer: 2, 3, 89, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16302 and 791076.\nAnswer: 15030444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1547167?\nAnswer: 337, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/6 - (-70)\/15. Suppose 32 = -a*s - 0*s. What is the units digit of (-18)\/(-8) - (-2)\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 5*u**2 - u + 17. Is s(4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510178 divided by -322?\nAnswer: 255089\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 104 = -5*v + 268, 3*a - 228 = -3*v. Suppose 0 = t + 4*t - v. Suppose -s = -2*c - 6*s + 5, -t = -2*c + 5*s. Solve c*z = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -2*s**9\/63 + 31*s**5\/60 - 26*s**2. What is the third derivative of l(o) wrt o?\nAnswer: -1920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 9*v - 5. Let q be v\/(-9) + -8*(-15)\/54. Let r(j) = j**2 + 4 - 2 + 0*j**2 + 0*j**3 - 2*j**3. Calculate r(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*h = -11, -4*l + 0*l - 3*h + 5 = 0. Let o = 20 + l. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327204982 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228687080, -228687079, -228687078, -228687077, -228687076?\nAnswer: -228687075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 13. Suppose -c*b = -2*b - 3. Let l = -13 - -12. Sort l, -3, b in decreasing order.\nAnswer: b, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1221, 1207, 1167, 1089, 961, 771, 507, 157?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a milligram in micrograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.4 - 5. Let q = u - 0.5. Let h = -120 + 120. Which is the second biggest value? (a) h (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -217 + 225. Calculate the greatest common divisor of z and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.6 - -15.4. Let v = 14 - k. Suppose -5*s = -4*r + r + 9, 5*r - 4*s = 2. What is the closest to -0.2 in -1\/4, v, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2763280 to the nearest integer?\nAnswer: 1662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00568634 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 36*n**3 - 11*n**2 + 134*n - 9. What are the prime factors of m(6)?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v. Suppose -j - n = 5, v*j - 2*n = j + 6. Let x be j\/10 + 8\/20. Are -1\/7 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1.1231297?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 103399 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5007 + 1.49. Round d to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/7 - 160\/(-364). Is x at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + 25*f + 34. Let s be k(13). Calculate the highest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -501*a**3 - 440 with respect to a.\nAnswer: -1503*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 861063*b**2 + 861062*b**2 + 861064*b**2 - 2583190*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 7, s: 3, j: 5, t: 3}. What is prob of sequence jrs?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 9 - 1. Suppose 3*t - 117015 = -k, c*k - 5*t - 463312 - 4663 = 0. Round k to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -190\/1077907 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -22*g - 106. Let o be p(-5). What is the tens digit of (-39)\/o*15\/((-90)\/48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 - -4 - 9) + 0 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 3*w**2 + 2*w + 3. Let h be y(-3). Let i be 1 + 9 - (-5*288\/80 - -28). Which is the nearest to i? (a) -1\/5 (b) h (c) -2\/11 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -59, -95, -141, -203, -287, -399?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*w**2 - w + 455.\nAnswer: 8*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*t - 125 = 87*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 21. Give d(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 584 + 12*f**3 + 17*f**3 - 622 wrt f.\nAnswer: 87*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - u + 7493, 2*k - u = -5*u + 7490. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2514 and 2382?\nAnswer: 998058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1 - ((-19 - -9 - 10) + 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/9, 38.2, 1.9, 39.2?\nAnswer: 38.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19591321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 980773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 82139940226 + -0.05?\nAnswer: 82139940225.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17398 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 + 22.8. Let l = 25 - g. What is the closest to 1 in l, -0.02, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16984938*b*d**3 + 9*b*d + 30089*d**3 - 6091 with respect to b.\nAnswer: -16984938*d**3 + 9*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 6a?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 + -7 + 0 + 1. Suppose 3 = 5*h + 13, -d*h = l - 2. Suppose -4*t + 2*z + 16 = 0, -t + z + l = -0*z. Solve -2*c - w + 5 = 0, w + 1 = -c + t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 28 (b) 4\/17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-4))\/(7\/140). Suppose 44 + 16 = -2*z. Let j = z + 6. Are j and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2789 is divided by 309.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 9*s + 4. What is h(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1147*u**4 - 1227*u**2 + 1227*u**2 + 2715*u wrt u?\nAnswer: 13764*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2) + 3 - (2 - 5). Let u(i) = -4*i. Let o(y) = -4*y. What is a*o(p) - 7*u(p)?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 777986741 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448.942 - -9195.\nAnswer: 8746.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -145500 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8909, -31894, -70201, -123830, -192781, -277054, -376649?\n\"Answer: -7661*u**2 - 2*u - 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -1\/17 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/9659 + -763049\/115908. Let g = 5279 + -42299\/8. Find the common denominator of v and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 1.5. Let p = 170 + -169.8. Put p, -0.2, d in decreasing order.\nAnswer: d, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s + 32. Let m be x(-5). Calculate the greatest common divisor of m and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/13)\/t*t)**10)**(-1\/78) assuming t is positive.\nAnswer: t**(10\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 8607*x**2 - 33 + 17 - 19471*x**2.\nAnswer: -28078*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2. Let q(c) = 168*c**2 + 11*c + 51. Determine q(b(i)).\nAnswer: 4200*i**4 - 55*i**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 4*l + 8, -17*l + 2 = -19*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 132*i + 6055432.\nAnswer: -4*(i - 1214)*(i + 1247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -8*t**3 + 163*t**2 + 17*t + 55. Give c(20).\nAnswer: 1595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4115\/(-181060))\/((-5)\/600)?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33.04493 - -183.03263. Let o = 150 - f. Round o to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2111273 is divided by 75?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9\/1*(-858)\/(-234)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 2700.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1398 and -79368965275?\nAnswer: 79368966673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0302 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 29*m + 2. Suppose 3*a = -m*r + 5616, 4*a + 6*r = 3*r + 7499. List the prime factors of a.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*o + 60, 0*r + 39 = 3*r - 5*o. Suppose 3*a - a - h - r = 0, 2*a - 5*h - 10 = 0. What is the remainder when 28 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9*i. Let f(v) = -212244*v**2 - 3*v. Calculate f(z(w)).\nAnswer: -17191764*w**2 - 27*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpoxmqmoxqqq. Give prob of sequence moo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3\/5 - 10334*g**2\/5 + 18628*g - 144928\/5 = 0.\nAnswer: -5176, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 87 = 325. List the prime factors of u.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -3, 0.065?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2560323107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**4 + h**3 + h - 1. Let c(y) = -y**4 + 2*y**3 - y - 5 + 3*y**3 - 7*y - 5*y. Let t(i) = c(i) - 5*l(i). What is the second derivative of t(p) wrt p?\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o = 0. Suppose 4*i + 3 + 7 = -5*y, -2*i - 12 = -y. Suppose 3*k + y*k - 35 = o. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + 96. What are the prime factors of h?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61*t**5 + 4*t**4 + 83491*t**3 + 16486*t**2 + 6*t - 81?\nAnswer: -3660*t**2 + 96*t + 500946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 1:57 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0, 1\/2, -797\/4, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**6*t**2 - 6*n**6 + 25*n**2*t - 2*n*t**2 + t wrt n?\nAnswer: -120*n**3*t**2 - 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*i + 2*f, 35*i - f = 39*i + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 - -2.94. Let z be 4 + (0 - (-1 - -1)). Let s = -6.6 + 5.6. What is the nearest to -2\/3 in z, s, k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a0 - -27?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 8:32 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*3\/45*-5. Let u = 0 - 0. Put u, 4, v in ascending order.\nAnswer: v, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w + 960 = -51*w + 48 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 4 + 0 - 2*f + (-f - f + 5*f)*(2 + 0 - 3).\nAnswer: -5*f - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 2024?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v + 95. Determine p(7).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2026314 divided by 3.\nAnswer: -675438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m**(5\/2)\/m))\/((m\/((m\/(m**(1\/4)*m))\/m))\/m)*(m**(3\/2)\/m)\/m*m**6 assuming m is positive.\nAnswer: m**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15343*w**2 - 49400*w**2 - 125988*w**2.\nAnswer: -160045*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-260)\/(-400) - 0 - (-2)\/(-5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + 1*(sqrt(1300) + -3))**2 + (-2 + sqrt(1300))*3 + (1*sqrt(1300)*6)**2 + -3.\nAnswer: 70*sqrt(13) + 48091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*n**2 - 41*n**2 - 45*n**2)*((5 - 3 - 3)*(2*n + 5*n - 5*n) - 1 + 1 - 2*n).\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121202210 + -2110000?\nAnswer: -1201012210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*d = 33. Suppose -r + 0*r = 0. Suppose 20 = -r*s + s. What is the remainder when s is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1424\/7 or -203?\nAnswer: -203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/26)\/(2\/4). Let s = -1 + 1.4. What is the biggest value in s, u, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7494 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/21)\/((-2)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -19. Let q = d + -20.2. Suppose -504 + 500 = 4*f. What is the second smallest value in q, 8, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 2*x + 1. Let j be b(-2). Suppose -6*m + j*m = 4. Is -5 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61336976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 times 0.8?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13384, -13420, -13456?\nAnswer: -13492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 67002*d + 40. Let r(s) = -s**2 - 3*s + 34. Let h be r(-9). Let z be v(h). What is z rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/48)\/((t\/t**(-2\/103))\/t))**(16\/3) assuming t is positive.\nAnswer: t**(7\/927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (8\/1060)\/((-372)\/(-4185)) and -65\/28?\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 5*v + 1. Let s be x(-4). Suppose 0*q - 2*i = -q + 16, -s*i + 25 = 0. Suppose -5*m = -6 + q. What is the nearest to 0 in m, -0.4, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j. Let m(q) = -30*q + 13*q + 15*q. Calculate -17*m(d) + 6*r(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02326 to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 629049134 to the power of 1\/2, to the nearest integer?\nAnswer: 25081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*v + 4*m, v = -m - 7 - 4. Let i = 2 - v. Let j be 56\/(-40) + (-6)\/i. Let a(p) = 4*p. Determine a(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-3 + -12 - -19) - 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0257 - -0.3453. Let n = g + -0.3877. Round n to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = 13*t + 174 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19588 (base 10) to base 12\nAnswer: b404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 56*m - 417. Let l be x(-45). Solve -l = -9*c + 22*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204820 and 266.\nAnswer: 204820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1196 and 3119444.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132054 is divided by 63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28187*b*m**2 - 36128*b*u + 614*b - 188*m*u + 5*m - u wrt m.\nAnswer: 56374*b*m - 188*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8382929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.0194?\nAnswer: -0.0097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 3*w**2 + 2*w + 4. Calculate q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15404*z = 15292*z - 112. Let l = 3.94 - -0.06. Let p = l - 4.1. Which is the third biggest value? (a) -0.4 (b) p (c) 0.5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48948*f + 42511 wrt f.\nAnswer: 48948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.1. Suppose 20 = -5*m + m. Which is the closest to y? (a) 0.5 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 55 = 5*y, 2*u - 7*y = -10*y + 37. Suppose -m + 4 = -2*m + b, 3*b - 12 = m. Solve m = -s + 5*s - u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 29 - 8 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16182363?\nAnswer: 3, 23, 234527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2830084 divided by -4.\nAnswer: 707521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.27, 6675, 366?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-621))\/(10\/(-45))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5146 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -4. Let p(f) = 3*f**3 - 6*f**2 + 9. Let h(d) = -d**3 + d**2 - 1. Let i(m) = k*p(m) + 6*h(m). Differentiate i(g) with respect to g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -682842359 by 42643.\nAnswer: -16013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1702)\/4255*14\/(-4).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 54, -36, -15574?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:10 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(1\/7)*z*z)\/z)\/(z**0\/z))\/(z\/z**(1\/2))**12 assuming z is positive.\nAnswer: z**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -12*s - 4*s + 284, 8*s + p = -6*s + 253 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 195270, 390541, 585812?\n\"Answer: 195271*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 9 = -j + 24, -13*j + 6*n + 20 = -11*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 1 + 2 + (-170 - -152) + 32 + -2\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -461a (base 11) in base 14?\nAnswer: -22d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3412104 - -542?\nAnswer: 3412646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 43*j - 485. Give n(-51).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 424215761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + -1*sqrt(539)*-3 + sqrt(539) - (sqrt(539) + (-1 + sqrt(539) + sqrt(539) - sqrt(539)) + 1 + sqrt(539))) + 0)**2*-6.\nAnswer: -12936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k + 49 = 61*k + m, -3*k = -2*m - 23 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*x**2 + 46*x**2 - 36*x**2)*(-3 + 3 - x).\nAnswer: 13*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + ((3*sqrt(200) - sqrt(200))**2 - sqrt(200)) + (sqrt(240)\/sqrt(5))\/sqrt(6).\nAnswer: -3*sqrt(2) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5d93 (base 16) in base 4?\nAnswer: 11312103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - 26 - (-2 - 0) - 0\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**4\/24 + n**2. Let j(f) = -f. Let s be ((256\/16)\/32)\/(1\/(-2)). What is s*j(w) - 6*g(w)?\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*167964.\nAnswer: 5038920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035797?\nAnswer: 7, 73, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven eighths of a kilometer?\nAnswer: 87500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 244 divided by -61.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 129113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (19\/(-4))\/(((-4)\/(-16))\/(-1)). Suppose -4 = -21*g + f*g. Solve -9 = -3*k + g*u, 0*u - 14 = -4*k + 2*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.064\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12576, -12595, -12618, -12645, -12676?\nAnswer: -12711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - (-2 - -11))\/2 - -418. Let a = -351 + x. What is the remainder when 171 is divided by a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1103 = -22*p + 2923 + 1342. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -76*j**2. Let w(t) = 3*t**2 + 8. Let q(l) = 3*l**2 + 6. Let o(c) = 4*q(c) - 3*w(c). Calculate v(o(h)).\nAnswer: -684*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2182075 + 2*n + 2182075 - 5*n. Let f(a) be the first derivative of -17*a**3 - 1. Calculate m(f(x)).\nAnswer: 153*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 183 = -4*i - i, n = 4. Calculate the highest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 2:08 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4953, -4954, -4955?\n\"Answer: -h - 4952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3197947 hours?\nAnswer: 1151260920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaadaaaadaadaa. What is prob of picking 1 a and 2 d?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -142240.584 - 8\nAnswer: -142248.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1516 + 1421. Does 33 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h. Let c(v) = v - 1. Let g(b) = 7*b - 5. Let r be (3\/(-2) + -1)*-2. Let m(o) = r*c(o) - g(o). Calculate m(f(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111952178 to the power of 1\/2, to the nearest integer?\nAnswer: 10581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i. Let f(q) be the second derivative of q**3\/6 - 679*q**2\/2 - 7203*q. Determine f(g(j)).\nAnswer: 3*j - 679","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4264 divided by -104?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2227 (base 12) to base 11\nAnswer: 2922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0 + 3*x**2 + 0*x + 1\/2*x**3 - 3\/2*x**4. Is n(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b - -221a37?\nAnswer: 221a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -8*w - 1 + 9*w + 0. Let l(p) = -p - 8 - 14 + 23. Calculate -3*h(a) - 4*l(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1005 (base 10) in base 2?\nAnswer: -1111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 15. Let l(g) = g**2 - 14*g + 13. Let q be l(13). Calculate i(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-7)*j**21)**26)**(6\/17) assuming j is positive.\nAnswer: j**(2340\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/4)\/(36\/(-96)). Let g(q) = 4*q**2 - 6*q + 4. Let k(t) = t**2 - t + 1. What is h*k(w) + g(w)?\nAnswer: -2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22494, -23913, -25316, -26703?\nAnswer: -28074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b6 - -4?\nAnswer: 5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022032\/56 - (-166)\/581 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 15. Suppose 0 = -o*j - 2 - 18, y = -3*j + 3. Suppose 0 = i + 3*f - 3, -6*i = -7*i + 4*f - y. Let d(s) = s + 2. Determine d(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -17 + 37 - 16 + 4*g**2. Let q(u) be the first derivative of -u**2 + 113. Give q(a(k)).\nAnswer: -8*k**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1 (b) -3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-285)\/912*(-116352)\/(-360)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 2\/5*5. Suppose y + 4*t = 4539, 7*t = m*y + 2*t - 9065. Suppose 0 = -9*i + y + 24346. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/5))\/(t*t*t**(-2)))\/((t\/t**(-1))\/t**(-6\/5)) assuming t is positive.\nAnswer: t**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.0436 and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**(-1\/19)))\/g**(-3\/8)*g**(-1)*g\/(g\/(g*g*g*g*g*g*g\/g**9))*g assuming g is positive.\nAnswer: g**(-103\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 524 - 523.932. Let g = l + 0.232. Suppose 25 = -v + 6*v. Which is the third biggest value? (a) -6 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 108*r**4 + 0*r + 110*r**4 - r**2 as a + v*r + b*r**4 + p*r**3 + i*r**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Let x(q) = -9*q - 26. Let f be x(-5). Suppose 2*b + 5*a + f = 0, 2*a - 1 = -2*b - 5. Sort m, 2, b in descending order.\nAnswer: m, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 + (30 - 13 - 7) + (-10 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 401 = 2*w, -2*u - 251 - 591 = -4*w. Suppose 3*l = 0, -w = -r + l + 6. List the prime factors of r.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5\/11 - 78*l**4\/11 + 2*l**3\/11 + 78*l**2\/11 = 0. Calculate l.\nAnswer: -39, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18098051\/371683 + -4\/28591. Which is greater: -50 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*v - 809551 = 0, 65*a - 69*a = -2*v - 1079406. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7149.\nAnswer: 3, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-30))\/4*(-12)\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12700, 12699, 12698, 12697, 12696, 12695?\nAnswer: 12694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/4 - 11\/(-44)*46. Let a be ((-6)\/5)\/((90\/(-25))\/g). Solve -12 = -3*w + 2*v + v, 3*w - 12 = -a*v for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (6 + -27 + 23) - (6 - 0).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 4*d - 8. Let u be (-18)\/d*(-32)\/(-168). Which is smaller: 2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 8*a - 4. Sort -3, 0.4, a in descending order.\nAnswer: 0.4, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 18 = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.2 - 10. Let h = -33.265 + 33.295. What is the closest to -0.5 in 0.4, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(2\/(-56)*-4)\/((-48)\/(-168)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-143)\/52*11\/726*12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**3 + 2*g**2 + 2*g. What is the hundreds digit of i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 55. Let h be (-8 - y) + 7\/1. Solve -3*o - 16 = o + h*v, -4 = v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 21\/2 + 3\/6. Suppose 0 = -p*z + z + 912. Suppose -16*j = 8*j - 912. Calculate the greatest common divisor of j and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/319 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2972\/(-280) - (-8169)\/778\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 5*a + 0*a - 4 + 4 + 6*a + 3*a - 2*a - 2*a + 4 - 2*a - 4 + (0 - 2 + 0)*(-a + 4*a - a) + 2*a - 3*a + 3*a to the form x*a + p and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 371458, 371431, 371418, 371425, 371458, 371523, 371626, 371773?\n\"Answer: p**3 + p**2 - 37*p + 371493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -82*h + 77*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -707, -1401, -2095, -2789?\nAnswer: -3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -3 (c) 4\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -98 in 0.4, 0.3, -86, 3, 1\/3?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9 - 66.45137443.\nAnswer: -63.55137443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4172900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65274 and 946.\nAnswer: 65274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 7006892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*j + 2, 2*j = n - 3 + 5. Let p be 2 - 4\/(-2) - -4. Let y(a) = p - 8 + a**2 + 4*a. What is y(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, f: 7, p: 4}. What is prob of sequence ddp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, 14, 3\/5, 0.5, 0.4, 42, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15.5. Which is the nearest to 3\/4? (a) 0.1 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/75 and -41\/309.\nAnswer: 7725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 300432543 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16113 and 29026.\nAnswer: 467695938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (10 + -11 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**6 - 2*b**5 + 4*b**2 + 0*b**5 + 2*b**5 wrt b.\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2 and (-4 - -11)*2\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 - -4?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-38) + 0)*(-236)\/(-590)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 817*k - 812*k + 2*j - 204, 3*k + 5*j - 130 = 0. Solve 4*i + 4*p + k = 0, -i - 19 = 3*i + p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 37*m**2 + 7*m + 90. Determine x(-37).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.15, -0.2, -1\/3, -387, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 25.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 7:48 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1021 by -26.\nAnswer: -1021\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*1\/(-22)*(80\/12 + -7).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49251696 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-552811)\/(-2))\/((-3)\/(-66)). Suppose 3*k + 1730939 = d. Suppose 0 = 5*x - 3*g + k, -2*x - x - 870002 = g. Round x to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-108)*8)\/(-1*16\/(-216))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10256239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from srb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2*v**(-2\/9))**45 assuming v is positive.\nAnswer: v**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from oxaohtsha.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/50)\/(282\/940).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -18, 5, 2\/5, -1, 109969?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*2 + (sqrt(12)\/(sqrt(30)\/sqrt(5)))**2 + 0.\nAnswer: 2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386276?\nAnswer: 2, 11, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22808*h - 22792*h. Solve 0 = c + 2*w - 5, 8 = c - h*c + 5*w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 518722 and 838?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100100000 (base 2) to base 3\nAnswer: 101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4 + (10 - 7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -13*t**3 + 8*t. Let j(c) = 9*c**3 - 5*c. Let u be (-490)\/(-40) + -12 - 42\/8. Suppose 3*w - 29 = 4*h, 4*h + 35 = w + 4. What is h*j(l) + u*k(l)?\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 308*m**2 - 183317*m + 4872. Determine r(609).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2159497 is divided by 7685.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24801587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1)*m*m)**(-11)\/(m\/(((m**3\/m*m)\/m)\/m*m)*m*m**(-5)) assuming m is positive.\nAnswer: m**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9195040 divided by -10?\nAnswer: 919504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + q - 1. Determine y(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o\/o**(10\/7))\/o*o)\/o*o*o**4*((o*o**(-1)*o*o)\/o*o)\/o*((o**3*o)\/o)\/o assuming o is positive.\nAnswer: o**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(608) + sqrt(608) + -1*sqrt(608) + sqrt(608))*6 - -3*sqrt(608)*1)\/((2*sqrt(3872) + sqrt(32))*-5).\nAnswer: -3*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 7*u**4\/24 - u**3\/3 + u**2. Let x(h) be the second derivative of 0 + 11\/3*h**3 - 3*h**2 - 14*h. What is 16*n(j) - 5*x(j)?\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1599)\/164)\/(9\/(-2)). Let g = -2 + d. Which is the closest to 1\/5? (a) -0.5 (b) g (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 203803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18592\/6 - (56\/21)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -5*h + 24. Let m be o(7). Let u be (m\/(22\/(-340)))\/(-1*1). Let c be (-68)\/u + 1*(-2)\/5. Solve i = -c*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61688561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/48 and (-1)\/24*(-3 + 1065\/20)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8 - 182\/39) + (-1512)\/324)\/(4\/(-225))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1 (c) -3 (d) 1.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (10 + -1) - (1587 - 1599) - -22?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 6*h**2 + 2*h**2)*(36 - 21 + 37)*(h**2 - 16*h + 13*h + 0*h**2).\nAnswer: -52*h**4 + 156*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -1 + -3 + 4. Let c(l) = 0 + 4*l + 1 - l**2 - 2*l + a. Let u be c(3). Solve u = -3*p + p + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, -125, -6, 6 in decreasing order.\nAnswer: 6, 2, -6, -10, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -2. Let o = -0.066 - 2.634. Let y = 0.3 - o. Sort y, 0.1, m in ascending order.\nAnswer: m, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2425*i - 7838 = 10522*i - 7146 - 26586 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -d - 2*d + 6, -2*i + 2*d = 4. Solve i = -2*s + 1 - 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 207*u**2 + 3534*u.\nAnswer: 3*u*(u + 31)*(u + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 645173 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-499976)\/2802*(-51)\/1200. Let g = o + -2\/11675. What is the common denominator of 35\/2 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000198090833 rounded to six decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 106487\/84 - 8871\/7. Let a(u) be the second derivative of 0 + 1\/40*u**5 + 1\/6*u**4 - 19*u + 1\/2*u**2 + p*u**3. Suppose a(i) = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/5, -5, -80, -1\/6, 2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 2 = 110 + 59 + 81 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000050047554 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*m + 1846 - 1846 - 6*m - 23*m - 14*m + (m - 3 + 3)*(1 - 3 + 1) - m + 2*m - 3*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -622.1 - -622. Which is the closest to y? (a) 2\/5 (b) 0 (c) 0.5 (d) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3422 + 3423. Which is the closest to 3? (a) 7 (b) p (c) 12 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 9:25 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven eighths of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2) - 5*(-124)\/40.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 368*c + 365*c = 9, -c = -2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5+-95.4\nAnswer: -100.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89450 by -5.\nAnswer: 17890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7792758 divided by -2597586\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*u**3 - 26850*u**2 + 421562*u wrt u?\nAnswer: 36*u - 53700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*d**4*t**3 - 7*d**4 - 120*d*t**2 - 10*t**3 wrt d.\nAnswer: -1884*d**2*t**3 - 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31483 is divided by 1145?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -10. Let x(b) be the first derivative of -5*b**2\/2 - 13*b + 1. Let v be x(-8). Solve -4*m - r*f + v = 0, m + f = 2*f - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101 + 100001000011?\nAnswer: 100001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81778471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1331515*a**3*v - 8011*a**3 - 11 wrt v?\nAnswer: 1331515*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 974*s + 3913. What is n(-483)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164 and 902?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 56*q + 65*q = -51, 2*q = -5*t + 114 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 73 divided by -22\nAnswer: -73\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, -13, -43, -101, -193?\n\"Answer: -n**3 - 5*n**2 + 14*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 5*h**2 - 6*h - 3. Let r be k(-4). Let j = -11.1 + 11. Let i = 2.1 + j. Which is the third smallest value? (a) r (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**4\/6 - w**3\/2 - 292*w**2. Let d = -46 + 43. Determine p(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12384, 12385, 12386, 12387, 12388, 12389?\nAnswer: 12390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(16\/12) + 189\/18. Let k = q + -3. Solve k*b = 6*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(3\/5))\/r)**(-14)\/((r*r\/r**(-1\/17))\/r**(-2\/21)))**49 assuming r is positive.\nAnswer: r**(78043\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4*h + 15. What is u(9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10*z + 2. Suppose 0 = 4*u + 16 + 4. Let r be n(u). Let a = -30 + r. What is the remainder when 87 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 612110509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49233 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 19*h**3 + h**2 + h. Let y be u(-1). Let x = y + 24. Let s(d) = -2*d**2 + 0*d**2 - 6 + d**2 + x. Calculate s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1536*p**3 + p**2 - 3*p - 4. What is c(-1)?\nAnswer: 1536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/32*-4*(-34)\/(-51)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**4\/2 - 30*a**2. Let g(k) = 15*k**2. Calculate d(g(p)).\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101 + -95. Let x = r + 35. Let u = 60 - x. Calculate the remainder when 54 is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/5)\/b**2)**(-1)*b\/(b**(2\/15)\/b*b)*(b\/(b\/b**(2\/7)*b*b))\/b*b*(b\/(b\/(b**(2\/7)*b)))**40 assuming b is positive.\nAnswer: b**(5458\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*((sqrt(30) - (sqrt(30)*-1*5 + sqrt(30)))\/(-5*sqrt(18)\/sqrt(3)))**2*2*5.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w - 15*w - 20*w + 1027 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**3\/2 - 35*m**2\/2 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 8:14 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 3:41 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 335711 less than 335710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14 + 11)*(-6)\/9. Find the third derivative of -10 + 0 + 112*w**3 + 8*w**2 - 10*w**2 + 14*w**i wrt w.\nAnswer: 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 5*q = -4*p + 30, -4*p + 24 = -q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 112 = 4*q, -4*m - 294 = -9*m - 4*q. Calculate the greatest common divisor of 145 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 29. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-156)\/(-26) - (108\/21 + 0). Let w = -40 + 39.28. Let h = w - 0.28. What is the closest to h in -5, s, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/4 of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from mmooqmymm.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 + 95. Sort l, 5, -7 in decreasing order.\nAnswer: 5, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62444575 divided by -5\nAnswer: 12488915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**3\/6 - 13*v + 8. Let u(y) be the first derivative of a(y). Let m(q) = 9*q**2. What is u(m(c))?\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5312 divided by -82?\nAnswer: 2656\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -87, -92, -97, -102?\n\"Answer: -5*l - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(sqrt(70) + (-1*sqrt(70) - sqrt(70)))*1)\/(-3*sqrt(1440)*-1).\nAnswer: sqrt(7)\/36 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, w: 1, c: 5, o: 3, m: 2}. Give prob of sequence ooc.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 16 = 4*i, -w - i = -3*w - 4. Suppose 4*g + 2*f - 12 = w, 5*g = 2*f + f + 15. Calculate the highest common factor of g and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w + 0*w**3 + 1 + 7*w + 3 - 6*w**2 - w**3. Let z be c(-5). Suppose 325 = 5*y - k, z*y = 5*k + 16 + 223. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326308.\nAnswer: 2, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 6*l**2 + 8*l - 2. Let h be r(-8). Let i = h - 58. Suppose i*k = 6*k - 238. Calculate the remainder when k is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 2, -6\/19, -126 in decreasing order.\nAnswer: 2, 5\/4, -6\/19, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4070079908)\/322 + (-6)\/21. What is o rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 262 + 80. Let z = -339.4 + d. Round z to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -16393\nAnswer: -1\/16393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-24)*-1)\/(14\/(-12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 9*a - 17. Let s(u) = 1. Let x(d) = i(d) + 6*s(d). Is 25 a factor of x(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - q**2 + 0)*(-5*q + 2*q**2 + 5*q) - 6*q**4 - 8*q**4 + 4*q**4 + q**4 + 4*q**4 - 4*q**4.\nAnswer: -11*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -9. Suppose -3*c + 2*v - 10 = -3*v, h*c + 6 = 3*v. Suppose 0 = -3*l + 5*p - 36, c*p = -5*p + 15. Which is smaller: l or -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4*6*(3 + -2*sqrt(245) - (sqrt(245) - (sqrt(245) + (sqrt(245) - -1*-1*sqrt(245))))))**2.\nAnswer: -48384*sqrt(5) + 569662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1223 - -1356?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -23478.4 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48640 + -437761\/9. Put -0.1, 8.68, 1\/2, o in decreasing order.\nAnswer: 8.68, 1\/2, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 175*w**2 - 3*w + 14. What is the hundreds digit of x(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1417489039 and 10488.\nAnswer: -1417478551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/(-750))\/(6\/1215*-3)*-5?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 491.369t?\nAnswer: 491369000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*c + 20*c - 20894 - 6348 + 2112 = 0 for c.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -3*p - 2*p - 16, p - 4 = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3418 - -50142. What is the ten thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 164925 in descending order.\nAnswer: 164925, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78.34 * 1.48.\nAnswer: -115.9432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 6\/43, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -185 and 487388.\nAnswer: -90166780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 14. Let r be d(-9). Let c be -2 + (-6)\/(-1) + 1. Suppose -3*l + r = 4*n - 9, 0 = -c*n + 4*l + 2. Solve n*f + 5 = -y + 2*y, 5 = f - 3*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351.93418 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(4\/(-7) + (-59432)\/119). Let d = s - -757. What are the prime factors of d?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -13 + 4 + 4 + -8. Let l = 8 - b. Let s be (1 + 2)*(-14)\/l. Let c(i) = 2*i**3 + 3*i**2 + 2*i. Give c(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let q(i) = -29*i + 5. Let u(h) be the second derivative of 5*h**3 - 2*h**2 + 22*h. Let x(k) = 4*q(k) + 5*u(k). Give x(t(m)).\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/980 and -37\/588.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(2 - (-35)\/(-10)). Is (-1 + 2)\/(-3 + d) - -1870 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13880, -13868, -13854, -13838, -13820, -13800?\nAnswer: -13778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:40 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**3 + 8*l**2 - 9*l - 9. Let o(s) = s**3 + 2*s**2 - 2*s - 2. What is -2*k(p) + 9*o(p)?\nAnswer: p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*i + 74132 + 5156. Are 1167 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19306.23m to centimeters.\nAnswer: 1930623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 57, 53, 49, 45, 41?\n\"Answer: -4*a + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 621775845 or 621775846?\nAnswer: 621775846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.86 != 22\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*r = 4*n + 102*r + 14, 7*r - 50 = n. Let c(h) = -2*h + 7. Calculate c(n).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -8)*(-34)\/68.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/11)\/((-2)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p + 7. Let c be (p - 7)*2\/(-4). Let q = 4 - c. Solve -q*v + 21 = 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 11341850?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/25)\/(520\/(-23400)))\/(3\/(-25))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37566*k**3 + 3*k**2 + 9224 wrt k.\nAnswer: -225396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 3*h**2 + 90 - 269 + 93.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-8))\/((-14)\/(-12)). Sort -3\/4, 3, -2, k in descending order.\nAnswer: 3, k, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 1842 - b + b + b + 3*b.\nAnswer: b + 1842","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*f**3*o*t**3 + 10*f**3*o*t - 306*f**3 - 2*f**2*o*t**2 - 51*f**2*o + 1970*o*t**3 wrt f.\nAnswer: -330*o*t**3 + 60*o*t - 1836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -325\/76 smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13514006 (base 9) to base 12.\nAnswer: -22a2ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/(-20) + 5)*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 7:38 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -12*z**2 - 11\/300*z**5 + 0*z + 0 - 5\/6*z**3 - 1\/600*z**6 - 7\/24*z**4. Determine u so that q(u) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2003 + -1977. Let b be ((-42)\/(-5))\/((-1)\/5). Let j = l - b. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*b = -8, 4*l + b + 2*b - 1 = 0. Let f be (l\/((-2)\/8))\/(-1). Suppose f*a = -5*x + 45, 0 = -2*x - a + 3*a. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -349*k - 340. Determine v(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 5*y**4\/24 + 8*y**3\/3 + 5*y**2 + 13*y. Determine f(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 395, 544, 939, 1700, 2947, 4800?\nAnswer: 7379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 256 - 324.6. Let t = v + 69. What is the third smallest value in -2\/5, t, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c**2 + 5*c - 5. Suppose -2*l + k = -k + 20, -2*l + 5*k - 26 = 0. Let f(n) = -11*n**2 + 8*n - 8. Determine l*q(x) + 5*f(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 156166002 to the power of 1\/3, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n + 6. Let l be k(4). Let d be ((-75)\/(-20))\/(3\/(-8)). Let t = d - l. What is t rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 11*u + 7. Let y(f) = -2*f**2 - f + 1. Let p(c) = m(c) - 3*y(c). What is the tens digit of p(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-60) + 4\/(32\/18). Suppose -5*x - 3 = -2*f, x + 5 = c*f - 2*x. What is the first derivative of 1 - 1383*b**4 + 1396*b**f + b**3 - b**3 wrt b?\nAnswer: 52*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364 by -5.\nAnswer: -364\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - f**2 + f. Let r be m(-1). Let w be (-1)\/(0 - 1) - r. Let v(p) = -2*p**3 + 3*p + 4*p**w + p**3 - p. Give v(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -368 in decreasing order.\nAnswer: 6, -2, -368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1998 - 2012. Let q(o) = -17*o - 236. Determine q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3497993691?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4002369891 to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 5. Let m be a(-3). Let q be ((-6)\/9)\/(m\/(-126)). Suppose 4*d = -3*d + q. Solve -3*p - 18 = -d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.2, -1\/3.\nAnswer: -3, -1.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1630 - 1567. Suppose -3*k + 207 = -21. Suppose -a = -f - k. List the prime factors of a.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -17666\/15?\nAnswer: -17666\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.9282 + -12.926. Let n = 3.8 - 0.8. Let r = n - h. What is r rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19609505?\nAnswer: 5, 43, 223, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5202 is divided by 407?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 17 = -73. Let r(l) = 2800004*l - 4. Let u(i) = 560001*i - 1. Let f(t) = q*u(t) - 3*r(t). Let c be f(1). Round c to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2)*(-18 + 57 - 20)*(-6*p - 3*p + 2*p) in the form h + y*p and give y.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6355579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 o when three letters picked without replacement from {t: 6, h: 1, o: 8, m: 1, f: 3}.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 816, 2590, 5034, 8142, 11908, 16326, 21390, 27094?\n\"Answer: -y**3 + 341*y**2 + 758*y - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203686 is divided by 65.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**6\/720 + 5*b**4\/12 - 3*b. Let p(v) be the third derivative of y(v). Let z(k) = 12*k. Determine p(z(w)).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -178. Let r(c) = -5*c**2 + 3*c - 9. Let g be r(6). Let v = n - g. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0216773784 to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210036.\nAnswer: 2, 3, 23, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + (sqrt(833) + 4 + (sqrt(833) - (-1 + sqrt(833))) + sqrt(833) - sqrt(833)) + 3 + 1 + -2)**2.\nAnswer: 168*sqrt(17) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1026 less than or equal to -1024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**3*v + 84084*h**3 + 8203*h**2*v**2 wrt v?\nAnswer: h**3 + 16406*h**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 11. Suppose 17*t - 126 = -24. Let j(d) = 6. Determine t*i(o) + 11*j(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16624 and 39952.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*p**4*y + 2*p**4 - 1271*p**3*y**2 + 23*p**2*y - 2*y**2 + 17*y wrt p.\nAnswer: -552*p*y + 48*p - 7626*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-36))\/(12\/16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -127 - -132406?\nAnswer: 132268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 20 = -0*g. Suppose 19 = g*z + d + 5, -2*z - 3*d + 16 = 0. Suppose 0 = z*s - 46. List the prime factors of s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155772040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9427, 18909, 28481, 38155, 47943, 57857?\n\"Answer: 2*o**3 + 33*o**2 + 9369*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12538967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3740 and 44?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 227144 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -4 (c) -74 (d) -1\/4 (e) 10\/123 (f) 105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1987*z + 1024. List the prime factors of o(4).\nAnswer: 2, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 6 + 2*w + 4 - 5*w + 3*w + w + (1 + 1 - 4)*(2*w + 2*w - 2*w) + 145*w - 65*w - 1 + 3.\nAnswer: 77*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216491652, -432983298, -649474944?\nAnswer: -865966590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + a - 5*p - 11, 4*a - 5*p = 23. Find the third derivative of 2*h**a + 4 - 4 + 2*h**3 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.812 - -1.912. What is the closest to -1\/10 in 0, -3, -0.5, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/19716 and -119\/1086.\nAnswer: 3568596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 32 - 16. Let m be 2 + -3 + r + 0. Put -5, m, 6 in increasing order.\nAnswer: -5, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 2. Let l(n) = -30*n**3 + 20*n**2 + 30*n + 55. Let x(j) = l(j) + 25*m(j). Let x(d) = 0. Calculate d.\nAnswer: -1, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 2)\/((-5)\/15). Let y = j + 14. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 765*d - 9020 - 3300 = 1450 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4539 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-15)\/360*(-3)\/((-114)\/4).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/120 + a**5\/4 + 5*a**4\/12 - 5*a**3\/6 + 6*a**2. Let z be l(-14). Suppose -3*r + z = -45. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)*2 - sqrt(12))*6)\/(sqrt(576)*-1).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkdq when four letters picked without replacement from {k: 1, g: 5, d: 1, r: 7, q: 1}?\nAnswer: 1\/4680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25\/14 - 3\/2. Let q = -0.8 + 1.1. Which is the nearest to 0.2? (a) q (b) u (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3554*a**2 + 625*a - 2.\nAnswer: -7108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -34, 3 in descending order.\nAnswer: 4, 3, 1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*(5 + -3*sqrt(98)*-2)**2.\nAnswer: 2100*sqrt(2) + 17765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4 + 400*p**3 + 25344*p**2 - 3972672*p + 112698432.\nAnswer: -4*(p - 66)**3*(p + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*f + 27 = 0. Let d be (3\/(f\/852))\/2. Let n = -47 - d. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.5614 rounded to 1 decimal place?\nAnswer: 36.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + d + 15. Suppose 0*u + 8 = 4*y + 2*u, -3*y - 5*u = -20. What is the tens digit of c(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/390592 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Let n = 667 - 688. Let r be n - -36 - -3*(-20)\/12. Solve -f = -p*f - r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 6:50 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 83. Let u be (27 + 7)\/((-6 - w)*-1). Which is smaller: 8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, m: 2, t: 4, g: 8}. What is prob of picking 2 t and 2 r?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4255577744?\nAnswer: 2, 11, 19, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 282876\/1885 smaller than 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 5. Let s be (-114)\/(-10)*(-4 + 4 + a). Let f = 57 - s. Solve f*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -135. Let r = o + -62.2. Round r to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*q + 6*q = 7, 0 = 5*q - 20. Suppose -124 = t - x*t. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.7, 0.4, 522978, 1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -9\/37 (b) -4 (c) 3 (d) 2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03 - 1.43. Let g = 5.4 + c. What is the closest to 2\/3 in 0, -2\/3, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20.179 and -2545.\nAnswer: 51355.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41207 is divided by 159?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 49177561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4, 0 = -3*d + 3*x - 713544 - 445650. Round d to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 39*u = -44*u + 295, -4*f - 2*u = -234. Suppose x - 3*l - 178 = 0, 2*l + 490 = 3*x - f. What is the greatest common factor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-60)\/(-780)*((-55)\/385 - 40\/14)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 8894938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 25. What is the biggest value in 2\/7, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9\/7, 1\/6, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-4) - (-2)\/(-4). Suppose 2 - 32 = -10*i. Solve -2*u - l = i, 2*u = s*l - 3 - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*n - n. Let j be 3 - (0 - -1)\/n. Suppose -71733*z = -71666*z - 201. Solve 0 = z*r - 2 - j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2678306\/(-116)*(-1)\/(-7570). Let i = -1\/21953 - j. Find the common denominator of (-25 - 0)*1\/18 and i.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 23017 - 23205 = -5*b, 3*k + 4*b - 146 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-4))\/(2\/(-4)). Let t = m + -3. Solve 2*j = 5*j + t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 8*x**2 - 9*x - 1. Let m be u(-9). Let p be 4\/m*6\/(-24). Is p\/(-3) - 290\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 1 + 1 + (-4*q**2 + 4*q - 4*q)*(3 - 2 + 1 + (2 + 6 - 3)*(1 - 1 - 1)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(171) + sqrt(171))*-4 - sqrt(171) - 2*(sqrt(171) + -2*sqrt(171)))**2 + (4 + sqrt(152)\/(-3*sqrt(72)\/sqrt(9)))**2.\nAnswer: 496*sqrt(19)\/3 + 75718\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 - 35*x + 5. Let u(z) = 2*z**2 - 7*z + 1. Let o(f) = -j(f) + 5*u(f). Let a(v) = 17*v + 27. Calculate a(o(c)).\nAnswer: 51*c**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/37)\/k**(-1))**(-17)*((k\/k**(-11)*k)\/(((k**(9\/2)*k*k*k*k)\/k)\/k))**16 assuming k is positive.\nAnswer: k**(3185\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29359 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 693\/(-35)*445\/4895.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13895300 and 7924?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1010399, 8083147, 27280587, 64665065, 126298927, 218244519, 346564187, 517320277?\nAnswer: 736575135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5053233 to the power of 1\/2, to the nearest integer?\nAnswer: 2248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-462*h**3 + 1129 - 1109 + 66*h**3)*(-2*h + 4*h - h) in the form m*h**2 + f*h + j + w*h**3 + v*h**4 and give v.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13493338043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75387832 - 75387832 + 18*y**2.\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (20\/6)\/((-14)\/(-21))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 360 + 36*f - 32*f + 3*f**2 - 6*f**2 + 8*f**2 - 139*f.\nAnswer: 5*(f - 24)*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10538364*h**3 + 301981.\nAnswer: -31615092*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7076 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -4. Let w = -3.7 - 179.3. Let z = w + 181. What is the closest to 1\/15 in a, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5 - 1. Let f(w) be the first derivative of 11 + 32*w**2 - 53*w**p + 6*w**3 + 24*w**2. Find the second derivative of f(d) wrt d.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-12)\/(2 + 2). Let f be (-1*h)\/((-12)\/8). Solve f = -2*x + 3*k, -4*x - 2 = -2*x - k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1488808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/3*(-9)\/(-6). Let d = 6 + r. Calculate the remainder when d is divided by 1*3\/(-1) - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10010*a**2 + 153*a + 1479610 wrt a.\nAnswer: -20020*a + 153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 0\/2 - (-12 + -12). Find the third derivative of -z**5 - p*z**2 + 66*z**6 + z**5 - 32*z**6 wrt z.\nAnswer: 4080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 12 - 2 - -11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42294.\nAnswer: 2, 3, 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/2, -4, 14\/235, -97, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001138732119 to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwfllrlrwqlqffqwwlf. What is prob of sequence lf?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 687, 1360, 2013, 2646, 3259, 3852, 4425?\n\"Answer: -10*z**2 + 703*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -51, 0 in descending order.\nAnswer: 3, 0, -2, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -360.1 + 360. Which is the nearest to n? (a) 2\/11 (b) 5 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/((-357)\/(-168)). Let j = o + -74\/153. Are j and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10461 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.2 * -4.377.\nAnswer: -35.8914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**4 - 6*v**3 + 6*v**2 + 13. Let k(x) = -6*x**4 - 17*x**3 + 17*x**2 + 38. Let q(b) = -6*k(b) + 17*s(b). What is the derivative of q(t) wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 9) in base 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 31\/6*s**3 - 9*s + 0*s**2 + 5\/3*s**4 + 0. Find the second derivative of z(q) wrt q.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10831310, -10831313, -10831318, -10831325, -10831334?\n\"Answer: -c**2 - 10831309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -78*s - 1698. What is y(-33)?\nAnswer: 876","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5457*p**3 - 3250.\nAnswer: -16371*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) 25 (c) -1\/164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -430200 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -407 - -406.6. Let c be ((-2)\/5*-1)\/(-2). Let q = 587\/9 + -65. What is the closest to c in q, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -98\/78795 and 49\/14688.\nAnswer: 7564320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1196 divide 50507450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 3*t - 23 = 29*h, 3*h - 3 = -2*t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1842308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*b**5 - b**4 + 1234*b**3 + 246*b**2 - 130*b wrt b?\nAnswer: -660*b**2 - 24*b + 7404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w - 12. Let d = 73 + -37. Suppose -4*h = -4*a + d, 3*a - 2*h - w*h - 35 = 0. Solve 3*y - 2*y = -a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1, -18, -3 in ascending order.\nAnswer: -18, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 171 in decreasing order.\nAnswer: 171, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6095 is divided by 879.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + 0.1. Which is the nearest to h? (a) 3 (b) -3\/7 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9339849 is divided by 39744?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/3 - 796*g**3 - 472818*g**2 + 2858436*g - 4298427.\nAnswer: -(g - 3)**2*(g + 1197)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -202.9723?\nAnswer: -202.9723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -15*n**3 + 6*n**2 + 9*n + 2. Suppose 43*v - 38*v = 275. Calculate the remainder when v is divided by r(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 320 = 5*g - 2*v, 2*v = 0. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o**2. Let j(h) be the first derivative of -33*h**2\/2 - h - 769. Determine j(w(m)).\nAnswer: 330*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - 2*(sqrt(245)*1 + sqrt(245)) - sqrt(245)) + 3)*1.\nAnswer: -28*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53391 and 3367?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-5\/8)\/h)**(2\/3)\/(h\/(h**(-2\/19)*h*h)*h\/((h\/((h\/h**(13\/2))\/h))\/h)) assuming h is positive.\nAnswer: h**(505\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(119)\/sqrt(7))*-3 + (3*sqrt(1700) + -5)**2.\nAnswer: -303*sqrt(17) + 15326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1020 from -0.3.\nAnswer: -1020.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (519\/(-865))\/((-105)\/(-850)).\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*i - 2*k, 2*i + 6 = -4*k - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15857808779 - 15857805869.7807543. Let m = -2922.21924 + d. Let v = -13 - m. Round v to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 0*a**2 + 0*a**5 + 0*a**4 + 7\/30*a**6 - 33*a - 26\/3*a**3 - 2. What is the second derivative of r(l) wrt l?\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71546890 to the nearest one hundred thousand.\nAnswer: -71500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 601.2648cm to millimeters.\nAnswer: 6012.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 157061268 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 18. Suppose -7 - 5 = 2*s. Let w be q(s). Suppose -6*z = -3*z + w. Which is the biggest value? (a) z (b) 2 (c) -4 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-6)\/33 + 7926\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428354 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350 - -1472220.207.\nAnswer: 1471870.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -586 - -1009. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(2299) + -1*sqrt(2299) + sqrt(2299))*-3 + -5 + (sqrt(2299)*1 - sqrt(2299)) + 3 + -3))**2.\nAnswer: 11880*sqrt(19) + 745776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34\/147 + -148\/1911. Let y = 91 + -91.19. Put -1\/7, y, x in decreasing order.\nAnswer: x, -1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (448*h - 170*h - 214*h)*(-11*h - 7*h - h).\nAnswer: -1216*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -15*m**3 - 4363*m**2 + 581*m - 333. Calculate j(-291).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 1. Let x(j) be the second derivative of -j**4\/12 - 33*j. Determine x(u(c)).\nAnswer: -c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2244383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5178\/7 - 740. Let d = -1 - -4. Which is the second smallest value? (a) d (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 2. Let o(l) = -l**2. What is q(o(m))?\nAnswer: m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:44 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-19)\/(q\/(q**18*q)))\/(q**(-13\/5)*q**15) assuming q is positive.\nAnswer: q**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 5*c - 1. Let y(k) = 4 + 19*k - 13*k**2 + 2 + 1 - 2. Let g(v) = 9*m(v) + 2*y(v). What is g(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*m + c + 8150, -2*m - 16304 = 3*c. Round m to the nearest one hundred.\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 7*x**2 - 2*x - 4. Let v be u(-7). Sort 0, v, -1 in ascending order.\nAnswer: -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x**2 + 86*x - 3. Calculate l(16).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(6\/11)\/d)\/(d*d**0*d)*(d*d**0)**(-45)*d**4*d*d**(-1\/2)\/d*(d*d**(-1\/4))**(-1\/30) assuming d is positive.\nAnswer: d**(-18911\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 463 and -1.3366?\nAnswer: -618.8458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbprrprppbpp. What is prob of picking 1 p and 2 b?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3966.17091 rounded to the nearest ten?\nAnswer: 3970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -5*w - 7, -2*w - 3*t - 4 + 8 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19168 is divided by 9581.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 24. Let q = 5 - -13. Calculate the least common multiple of 30 and a(q).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -36. Suppose 0 = -5*d + k*m + 75, m - 10 = -m. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 15\nAnswer: 52\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -w + 79 + 294, 0 = -3*w - 3*n + 1074. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4022*u + 69. Let a be p(1). Suppose -a = -3*k - 461. What are the prime factors of k?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.07 - -4.367. Let r = v + -0.29700262. Round r to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1638 and 351?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 3*o**4\/4 + 19*o**3\/3 - 26*o**2 - 96*o - 1377. Let x(j) = 0. Calculate j.\nAnswer: -8, -4\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -350 - -699\/2. Let l be 5\/(5\/2) - 3. Let y = 1 - l. Which is the closest to y? (a) -2\/3 (b) m (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 5, -7\/5, 0.6, 0, -1.36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4938, 4942, 4936, 4914, 4870, 4798, 4692?\n\"Answer: -x**3 + x**2 + 8*x + 4930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(13) - (1 + sqrt(13))) + (1*sqrt(78))\/sqrt(6))**2.\nAnswer: 8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -81\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 + 1.95. Let y = 2.20104 - m. What is y rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857591 is divided by 857559?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 10, -9, 129, -3, 0 in descending order.\nAnswer: 129, 10, 0, -3, -4, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 53 - (24 + (0 - (12 + 0 + 3)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 172*g + 108. Let b(r) = -43*r - 26. Let z(l) = 11*b(l) + 3*j(l). Let d be z(-1). Suppose 0*o - 4*o = 132. Put d, o, 2 in descending order.\nAnswer: 2, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 147*s**5\/5 + 489741*s**4\/5 + 769032*s**3\/5 - 659496*s**2\/5 - 519504*s\/5 - 15984 = 0.\nAnswer: -3330, -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 5*p - 72, -3*p + 12 = -b - 8. Is -31 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16420144 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -705 (base 14) to base 7\nAnswer: -4005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -658 (c) -11 (d) -1\/5 (e) -0.3 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 45 - 52 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1345713 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -200?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -24*6\/(-9). Suppose -2*f + 0 = -6. What is the highest common divisor of f and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74689 - 113489. Round v to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 17 = 2*t, 2*h + 4*t = 1 - 3. Let b be (-124)\/(-6)*h\/(-2). Suppose -3*k + 11 = -b. Calculate the remainder when 27 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (320\/520)\/((-42)\/39).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1427 + 1432. Let v(b) = 9*b**2 - b + 1. Let a be v(2). Suppose -6*u + u + 5*f - 15 = 0, a = s*u + 5*f. Put -5, u, 4, 0 in descending order.\nAnswer: 4, u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k + 20. Let w be t(10). Suppose 0*m**2 - 2\/5*m**3 + 2\/5*m + w = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 8*u + 9. Is v(12) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147 - -318. Let r(g) = 13*g - 2. Let z be r(3). Suppose -20 - z = -3*h. What is the highest common divisor of f and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308 + 275 - (-12 - -2 - 2)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 7. Let r(f) = -f - 3. Let p(q) = -5*r(q) + 2*s(q). Let n(t) = t. Let i be n(2). Suppose -i*w = -w. Calculate p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*g = -0*g - 2, -2*k + g - 6 = 0. Suppose -3*f + 4*u + 164 = 46, -5*u + 10 = 0. What is the remainder when f is divided by (18\/k + -2)*-2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 + 4*s + 2. Let d(w) = -w**2 + 3*w + 1. Determine -7*d(v) + 5*r(v).\nAnswer: -3*v**2 - v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 80. Let a(o) = 11*o - 162. Let f(y) = -2*a(y) - 5*u(y). Let k be f(30). What is the highest common factor of 266 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2527 + 132\nAnswer: 2659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 6543168?\nAnswer: 32715840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2307590 less than or equal to 2307592?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -3. What is the first derivative of 7*t - 5 - 2*t + 2 - i*t wrt t?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12775351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 31. Let a be v - (3 + (-1)\/2*2). Suppose -5*c + 4*d = -156, -165 = -2*c - 3*c - a*d. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.955608m?\nAnswer: 1955.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1238.05 - -1278. Let j = o - -0.05. Let a = j + -40.0000041. What is a rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5409000 to the nearest 100000.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7) - 10*(-15)\/(-4200))\/((-9843)\/408).\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 0.3 (c) -0.1 (d) -0.15 (e) -4 (f) -368\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, 0.21, 3, -2\/11, 5, -0.3 in decreasing order.\nAnswer: 5, 3, 0.21, -0.12, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 - (14 + 25 + -38)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:45 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/3 - 17\/21. Suppose 1 - 4 = 3*m. Let t = 7.9 + -8. Which is the closest to t? (a) m (b) 1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -15. Solve -7 = 4*j + 5*v - 30, -5*j - 3*v + u = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w*w\/(w\/(w\/w**(-3))))))*w**(2\/7))\/(w**(-1\/3))**(-2\/77))\/(w**(-2\/11)*w**(-12))**20 assuming w is positive.\nAnswer: w**(55420\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isiiiiiiissiii. What is prob of sequence ss?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 - -46. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 44 - (-1 + -114 + 61)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4549.1 rounded to the nearest ten?\nAnswer: -4550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3590 by 4.\nAnswer: 1795\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7*(-16)\/((72\/42)\/(-6))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n**3 + 1628*n**2 + 485*n + 31532. Give y(543).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -18.12. Let f = 0.12 - u. Let q = 0.44 - -4.56. What is the third smallest value in f, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zoj when three letters picked without replacement from jjjjjjjzjjzzozozjjjj.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m - v = 5, 0 = 2*m + 2*v + 10. Solve r + 3 - 12 = -5*f, m = -5*f - 3*r + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 53. Suppose 4*b - 45 = -u, y + 4 = 2*b + 2*u. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185953404 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: What is the hundreds digit of 678947423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 229.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12581, 48302, 107837, 191186, 298349, 429326?\nAnswer: 584117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, 266, 923, 2218, 4367, 7586, 12091?\n\"Answer: 36*y**3 - 5*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) 3 (c) 1091 (d) -2 (e) 0.001\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 0 - 5)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -3*x**2 + 0*x + 0*x**4 - 1\/6*x**3 - 1\/60*x**6 + 0 + 0*x**5. Differentiate p(b) wrt b.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -4*o**7\/21 + o**4\/6 + 7*o + 7. Let g(j) be the first derivative of r(j). What is the third derivative of g(x) wrt x?\nAnswer: -480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -2\/9, 116 in ascending order.\nAnswer: -28, -2\/9, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 84. Let s = -1 + -20. Let y be ((-36)\/s)\/(4\/b). Calculate the highest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-57)\/95*1\/1. Let x = 0.1 + -0.08. Let b = x - -0.38. What is the nearest to b in -2\/11, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5 = -13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j = 7*j. Let x be -2 + 1 - 2*-2. Suppose 0*n - x*n + 15 = 0. Solve j = n*q - 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5 = -8*z. Let i(p) be the second derivative of 63*p**5\/10 + p**4\/6 - p**3\/2 + p**2 - 36*p. What is the tens digit of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -1.41?\nAnswer: 9.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 31*i = -33*i - 628794, -3*i + 9 = 0. Round p to the nearest 10000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110100101110010 - -1001000111?\nAnswer: 1110110101110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**4 - 3*g**3*w**2 - 13*g**3*w + 210*g**2*w**2 - g**2 wrt g.\nAnswer: -72*g - 18*w**2 - 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.449 in -0.1, -4, 1724, 5, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-180)\/(-500)*(-15)\/9.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*c*q**3*y - 3*c*q**3 + c*q**2*y + 2*c*q*y - 38*c*y + 66312*q**3*y + 2*q**3 - 2*q**2*y + 22540*q*y wrt q?\nAnswer: -84*c*y - 18*c + 397872*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -26*h**7\/21 - 17*h**3\/6 + 26*h. Find the second derivative of o(x) wrt x.\nAnswer: -1040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(2\/85)\/f*f))**22)**(-14) assuming f is positive.\nAnswer: f**(-25564\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*j + n, -23*j = -27*j + 4*n - 40. What is the third biggest value in j, 0.4, -25, 6, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**3 - 19*a**2 + 10*a + 2. Let c(b) = 4*b**3 + 21*b**2 - 10*b - 3. Suppose 6*o = -18*o + 144. Let f(i) = o*h(i) + 5*c(i). Factor f(g).\nAnswer: (g - 3)*(g - 1)*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243501030?\nAnswer: 2, 3, 5, 17, 167, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - (-35 + 12 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = 5*a - 0*a. Let p = a - -78. Suppose -p*t = -j + 228, -6*j + j + 4*t = -1035. Calculate the remainder when j is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = -64334 + 64348. Solve 6*c - 4*c = -v, -c = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(114) - (6*sqrt(114)*-3 + sqrt(114)))\/((-3*sqrt(36))\/sqrt(6) + sqrt(6) + (sqrt(864) - sqrt(864)*-3 - sqrt(864) - sqrt(864))).\nAnswer: 8*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -935 = 4*v - w + 2*w, 4*v + 950 = 2*w. Let u = v + 266. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12*p**3 + 9*p**2 - 2*p - 4. Let j = 12 - 15. Let w be n(j). Is -241 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -7 - (1 - 156\/12). Solve t + 81*n = 80*n + 10, 4*t = p*n - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -735 + 3123 = 2*j + q, 0 = q - 2. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58029883 or 7?\nAnswer: 58029883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**6 + 242*w**4 - 12*w**3 + 7*w**2 + 4*w + 20 wrt w?\nAnswer: 240*w**3 + 5808*w - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnkk when four letters picked without replacement from {n: 4, k: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13200)\/216)\/55 - 5050\/(-90)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*r + 353*r = 5*s - 211, 9*r - 2*s + 68 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 58.2. Let t = -2 - j. Let w = t + -4.3. Are w and -0.1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/b**(4\/29))\/b)\/b*b*b)\/b**(1\/60) assuming b is positive.\nAnswer: b**(3211\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + sqrt(605) + 1 + -4*(sqrt(605) + -1))**2 + 4.\nAnswer: -594*sqrt(5) + 5530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3*a + 4*h - 15 = -2*a - h, 0 = 5*h for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -330?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047718.\nAnswer: 2, 7, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n - g = 1, -5*n + 8 = -4*g. Let x(t) = 2*t - 2. Let y be x(4). Find the third derivative of -o**y - o**2 - n*o**2 + 3*o**2 - 2*o**6 wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.674 + 0.084. Let c = h - -0.39. Let u = 14 + -3. What is the third smallest value in 0, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372340 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26752844 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b = -6. Let w(a) = 12*a - 4. Let m be w(b). Let d = -29 - m. Solve 1 = -2*l + d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 4770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -91, -127, -163, -199?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x = 5*x. Is ((-1270)\/15 + x)*-3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-21)*1897\/(-1084)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let z(x) = 23*x**2 + 4. Let o(c) = 114*c**2 + 19. Let q(b) = -4*o(b) + 19*z(b). What is m(q(s))?\nAnswer: 19*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 2 + (-1 - 0). Let g = -3761\/4020 + 3\/1340. Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -855658 + -0.1\nAnswer: -855658.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 8 = 0, 4*y - 251 - 242 = -2*d - 489 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 10. Let v be z(-8). Let d = 32 + v. Suppose 5*b + 2*a = 4*a + 115, -d = -b + a. Find the common denominator of -49\/6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -255 in 282, 2\/17, -4.5?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 5*m + 8, 0 = r - m - 10. Let j = 0 - 1. Let l = j + 20. What is the remainder when l is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 3*o - 994. Let v(a) = -4*a**2 - 4*a + 997. Let n(i) = -5*d(i) - 4*v(i). Is 75 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-2380)*17*4*7\/(-56).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 727.1 - 727.4. Which is the nearest to p? (a) 0.1 (b) -4 (c) -4\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(-2*sqrt(11) - sqrt(11)))\/(1*sqrt(600)) + (sqrt(125) - sqrt(125)*-2*6)**2 + -2.\nAnswer: -sqrt(5)\/30 + 21123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 316908, 316924, 316952, 316992?\nAnswer: 317044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 239 + -242. Let c(o) = -6*o**3 + 2*o**2 - o. Let n(m) = -17*m**3 + 6*m**2 - 3*m. Give s*n(j) + 8*c(j).\nAnswer: 3*j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 at least as big as -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1919, -3792, -5653, -7508, -9363, -11224?\nAnswer: -13097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -197 + 204. What are the prime factors of (-248)\/(-2) + s + -8?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jtr when three letters picked without replacement from rrjjttrrtttjtrjjrjr.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l**2 + 5*l**2 - 4*l**2)*(5*l - 3*l - 3*l) + 609*l**3 - 240*l**3 - 249*l**3 to p + t*l + x*l**3 + q*l**2 and give x.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*h - 13*h - 84. Calculate the highest common divisor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 768 - 768.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (33\/(-11))\/((-3)\/2) + -6. Let l be (a\/5*-1)\/(9\/(-120)). Are -12 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2293429*a**2 + 1146271*a**2 + 1147157*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -5, 0, 90, -176, -4 in ascending order.\nAnswer: -176, -5, -4, -2, 0, 2, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 8*y**2 + 2*y - 9. Let h be q(8). Suppose h = g - 59. What is the greatest common factor of 165 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -12\/1619, 2, 2.9?\nAnswer: -12\/1619","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1291569, -2583147, -3874725?\n\"Answer: -1291578*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -173 - -201. Solve 5*k + 2*d - 6 = 1, 4*k - 4*d - h = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2. Let t(g) be the second derivative of 29*g**3\/6 + 3*g. Give t(c(s)).\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -338 + 338. Which is the closest to y? (a) 0.5 (b) 0.3 (c) -1\/10 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 10. Suppose -a*c = -0*c. Suppose -4*w + 9*w - 105 = c. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*k**5*w - k**4*w**2 + k*w**2 - k + 1 wrt k?\nAnswer: 2840*k**3*w - 12*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -101223 (base 6) to base 2\nAnswer: -1111110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 30*p**3 - 90*p**2 + 15*p + 7. Give r(2).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-324) - (0 + 4\/99)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 6, k: 6, n: 3, g: 3}. Give prob of sequence kbmg.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*6*((-10)\/15)\/2. Let w(y) = 2*y**2 + y - 2. What is w(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90194 - 63059. Let t = w - 27139.7027. Let c = 4.7 + t. Round c to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-4\/3))\/w*w\/w**(6\/11)*w**(-1\/7)*w\/(w*w\/((w**(-2\/3)*w)\/w*w)) assuming w is positive.\nAnswer: w**(226\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3925761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -b - 3. Suppose -b*f = -0*f + 24. Let y be (f + 0)\/((-15)\/40). What is the highest common divisor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. What is the units digit of -1 + 8 - (3 - v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -2)\/(5\/(-20)). Suppose k*v + 142 = 3*s, -4*v = 5*s - 2*s - 182. Calculate the remainder when s is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/3*258\/80 and (-1 - 636\/(-24))*28\/72.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 15, 4\/265, -2\/19, 4?\nAnswer: 4\/265","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*x + 13*x + 6*x + (-x + 0 + 0)*(-1 + 1 + 2).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 147610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-1)\/((-3)\/(-6))). Let b(n) = 3*n**2. Let j be b(i). Suppose -j*k + 4872109 = 16872109. What is k rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 6, v: 7}. What is prob of picking 3 v?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 28. Let l be 1\/5 - 207\/(-15). Let c be 1334\/l - (-10)\/(-35). Calculate the highest common divisor of c and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-14 - (-16 - -10) - -10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139099642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13551599 is divided by 169.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 l when two letters picked without replacement from {j: 1, f: 2, m: 1, i: 2, e: 1, l: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r + 2. Let d be 4\/7*17\/((-1122)\/(-231)). Let n(j) = 11*j + 3. Determine d*n(g) - 3*t(g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qu when two letters picked without replacement from nzqqzqnqznzugq?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -963 and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 44. Sort 4, 2\/11, p in descending order.\nAnswer: p, 4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*w - 5*t = 225*w - 40, -4*w - 64 = 2*t - 50 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21d9c0 (base 16) in base 4?\nAnswer: -20131213000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -11. Suppose 21 = 3*n - 3*g + 4*g, -5*g - 15 = j. Calculate the greatest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*a + 4*a + 16, -4*q = 4*a + 124. Let s = a + 35. Calculate the smallest common multiple of 2 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1781668 and -103\/20.\nAnswer: 8908340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15154 (base 7) to base 11.\nAnswer: -3182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*v + 336*v - 105*v - 149*v.\nAnswer: -43*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)*(o**(-4)*o)\/o)\/(o\/o**(-2\/7))**(8\/11) assuming o is positive.\nAnswer: o**(-986\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 177703824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12908)\/(-16135)*((-105)\/(-2))\/(-1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235546607, -235546610, -235546613, -235546616, -235546619, -235546622?\nAnswer: -235546625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45, -157, -337, -579, -877, -1225, -1617?\n\"Answer: f**3 - 40*f**2 + f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 16*k**2 - 8*k + 7. Let x(v) = 2*v**3 - 31*v**2 + 15*v - 15. Let t(l) = 11*c(l) + 6*x(l). Let a be 20*9\/27*(-6)\/(-4). Give t(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**2 - q - 1. Let t be 6\/(4 - 2 - 0). Suppose -3*r + 2*p = 0, t*p = 4*r + 2 - 1. What are the prime factors of k(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -2798d?\nAnswer: 2798a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 604b (base 16) in base 9?\nAnswer: 36730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - 4*g**4 + 2*g**5 + 3*g**4 + (0*g**3 - 4*g**3 + 2*g**3)*(-8*g**2 + 8*g**2 + 11*g**2) - 3*g**5 + 24*g**4 - 24*g**4.\nAnswer: -23*g**5 + g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -3*h - 2*b, b = 4*h - 3*b - 76. Let y = h + -11. Solve n - 4*q = 2*n - 17, 0 = 2*n - 3*q + y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + (sqrt(200) - (sqrt(200) - sqrt(200)*2 - sqrt(200))))**2 + sqrt(2) + 4 + sqrt(18) + sqrt(2) + (-5 + sqrt(8)\/sqrt(4) - sqrt(2)).\nAnswer: 305*sqrt(2) + 1829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -112*88\/924*3\/10*5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -27 - (374 + -367)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, -32, -99, -192, -311?\n\"Answer: -13*u**2 - 2*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1145*l + 2. Is h(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98? (a) 0.2 (b) 3\/2 (c) -0.12 (d) -3\/7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/9 - d**3\/9 - d**2\/3 + d\/9 + 2\/9.\nAnswer: (d - 2)*(d - 1)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -153678113 less than -22184?\nAnswer: 153655929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 155*r + 24. Let u(p) = -308*p - 44. Calculate 9*q(v) + 5*u(v).\nAnswer: -145*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163087127 is divided by 94763?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15137 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*h + 15, -3*s + 2*h + 9 = -1. Suppose 0 = -3*x - 4*f + 81, -3*f = x - s*f - 32. Suppose x*i = 28*i - 10. Solve 2 + i = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15322 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uux when three letters picked without replacement from {x: 9, u: 7}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Suppose 214 - 220 = -6*n. Let f = 0.072 - -0.328. Sort n, -0.5, f, z in descending order.\nAnswer: z, n, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3288 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 u when three letters picked without replacement from uggrur.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a hour in seconds?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, e: 5}. What is prob of sequence eeke?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2\/245 (c) -3 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 14 + 32. Sort 1, l, -4 in increasing order.\nAnswer: -4, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42551 is divided by 14181.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*p - 3 + 12*p + 12*p + 9*p - 166*p**2 + 6 wrt p.\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -2*t + 2*f + 52, 3*t - f - 30 - 29 + 87 - 36 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/2 - 312\/32 and -47\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3349879 divided by -23.\nAnswer: 3349879\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*(129 + -32 - 89).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4134 less than 4135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*r + 1072*r + 5076 = 0 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0622 less than -0.13?\nAnswer: -0.0678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*l - 19*l - 525. What is the remainder when 34438 is divided by l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212520 divided by 616\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 135*v**2 + 261*v - 129.\nAnswer: 3*(v - 43)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 7*j**2 + j**2 + 0*j**2. Let w(h) = -2*h**2. Determine w(c(i)).\nAnswer: -98*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -132, -143, -156, -171?\n\"Answer: -n**2 - 8*n - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3211.073*-0.2.\nAnswer: 642.2146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - -59 - (3 + 1)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/216 and 71\/36?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*12\/(-216))\/((-3)\/81*-3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, q: 2, v: 2}. What is prob of picking 2 q?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j - 2. Let m(y) be the second derivative of 5\/2*y**3 - 7\/2*y**2 - 10*y + 0. What is -6*m(w) + 22*r(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvfgdfvdf. Give prob of picking 2 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88960)\/(-3420))\/(-139) + (-1)\/((-9)\/2).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 4, -25, -1\/9, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 43, 132, 261, 436, 663?\nAnswer: 948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -719\/12 + 309\/4. Calculate the common denominator of b and 31\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 1, h: 1, z: 1, y: 2, w: 1}. What is prob of sequence dwy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/12*(24\/(-612)*34 + (-1)\/6). Factor q - x**3 + 3\/2*x**2 + 4*x - 1\/2*x**4.\nAnswer: -(x - 2)*(x + 1)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxndxxnxxxzxx. What is prob of picking 1 z and 1 n?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6276227981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times -4.7\nAnswer: 7.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12129 is divided by 635.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -36 + 5*q + 12*q + 2*q - 15*q. Let i be w(9). Is i not equal to -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7323 divided by 2441.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.016\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 6)*(4*m**2 - 2*m**2 + 0*m**2) + 6*m - 6*m + m**2 + (3*m - 2*m + m)*(-46*m + 48*m + 60*m).\nAnswer: 131*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**2 + 9*v**2 - 11*v**2 - 3*v**2 - 5*v**2 + 11*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/(-2))\/(2\/4). Let v(b) = -40*b + 440. Let g be v(11). Let j(k) = 4*k - 25. Let d be j(7). Solve g = -2*n - 2, -2*n + y = -d*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 18. Let s = -21 + 12. Let k = p - s. Which is the nearest to 1? (a) 0.4 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**2 - c - 8 - c**3 + 1 + 3 - c**2. Give x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-12 - (15 - (10 + 14))) + 95.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 37*v**2 - 191*v - 121. Give d(0).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 + -64. Suppose v*f - 11*f = 12141. What are the prime factors of f?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*l + 87 - 87 + 382*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -27, -55, -91, -135?\n\"Answer: -4*l**2 - 8*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -0.2 (c) -11 (d) 22 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.5 times 0.3?\nAnswer: -3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8658 and 3564.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 1387*f - 1392*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttft when four letters picked without replacement from {l: 3, f: 5, t: 6, z: 1, k: 3}?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1556, -1559, -1564, -1571?\n\"Answer: -o**2 - 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6480 divided by -20.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30000 divided by 6\nAnswer: -5000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4566 + -4531. What is the remainder when f is divided by (-4)\/18 + 328\/18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2, 84 in ascending order.\nAnswer: -2, -0.1, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2263182 is divided by 125709?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 11:52 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 53 (base 7) to base 2\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 79 (b) 3\/7 (c) 2 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2928189 and 534.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/6)\/(55\/132*6\/(-3))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 592 + -587. Solve a - 4*m = -0*m - 2, -4*a + d*m - 8 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 588263 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - f + 11. Suppose -4*t + 11 = r, 2*r - 10 = -2*t - 3*t. What is the remainder when j(r) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 0.026516?\nAnswer: 5.026516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933802357?\nAnswer: 79, 479, 24677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43073*b**5*p**2 - 68*b**3 - 31*b**2*p**2 - 2*b**2 + 61*b*p**2 - 2*b*p + 33*p**2 wrt b?\nAnswer: -2584380*b**2*p**2 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17684.631 months in centuries?\nAnswer: 14.7371925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28708988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 27339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -511, -519, -539, -577, -639, -731, -859?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -5*l. Let b be 0\/(l\/(-4)*4). Suppose b*k + k = 29. Calculate the remainder when k is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4613 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from iilitlittitiiiii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**3 - 35*l**2 + 174*l = 0.\nAnswer: 0, 6, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 7*b**2 + 3*b - 5. Let n(z) = 1. Let q(j) = -4*n(j) + o(j). Let r be (-2)\/5 + (-126)\/(-15). Is q(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (15\/6)\/(-5)*46\/(-1). Solve -2*c + 5*x = m, -x = 2*c - 5*x + 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10655*x - 10672*x + 503863 = 0. Calculate the greatest common factor of 554 and x.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8*r + p = -9, -p - 3 = 0. Suppose 2*j - 3*s - 9 = -r, s = -5*j + 60. Calculate the remainder when 1011 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 250 and 80?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44378 + 840729\/19. Let g = j + 129. Let y = 31 + -123\/4. Which is the smallest value? (a) g (b) 0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 3*c - 3*p + 15 = 0, -2*c = 5*p - 25. Is (93\/(-6) - c)*-6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1164*a + 1131*a + 1815 = 0. Suppose -4*i + 28 = 4. Suppose 0 = -i*v + 5*v + 14. What is the remainder when a is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7))**(4\/7)\/(d*d*d**(-1\/4)*d*d*d)**(-7) assuming d is positive.\nAnswer: d**(6485\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 3 + 3 + 20*a - 22*a. Let d be s(12). Let g = 172 - d. Does 29 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3609779?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in decades?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(539) - sqrt(539)*2*-3 - ((-2 + sqrt(539) + sqrt(539) + 2 - sqrt(539)) + sqrt(539)))*-6 + -5)**2 + -2)*3.\nAnswer: 6300*sqrt(11) + 1455369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*y - 5*h, h = -4*y + 4 + 3. Let l(z) be the first derivative of 32 + 0*z**2 - z + 4\/3*z**3. Determine l(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.6+193.7\nAnswer: 183.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/178019 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51421.\nAnswer: 51421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533 is divided by 173?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from oxfoeobeo?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -626\/1413 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 0.2 (c) -1\/6 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1170 - -1742. Suppose 13*z + 0*z = j. What is the remainder when 218 is divided by z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 5*z + 6198, a + 6197 = -5*z - 2*a. What is the nearest to z in -5, 4, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*b = 57, -6*h + 5*h + 5*b + 19 = 0. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of q**4*w**2 + 3611*q**4 - 3*q**3*w**2 - 287*q**2*w - 415*q*w**2 wrt q.\nAnswer: 24*q*w**2 + 86664*q - 18*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -43. Suppose -5*q - v + 4518 = 0, v = -8*q + w*q + 906. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 97 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 11:08 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 291977 and 5881251?\nAnswer: 41168757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189 - 147. Calculate the highest common factor of c and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(-2)*z)\/z*z)**(-6) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 1.2, 9, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 230 + 24 = -2*i, 2*i = 3*t - 299. Let c = t + -97. Factor -6\/7*s**2 - 1\/7 + 4\/7*s**3 + 4\/7*s - 1\/7*s**c.\nAnswer: -(s - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d - 276 = 145*d + 62 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 24*u**2 + 129*u - 1426. What is m(21)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121775 by 4.\nAnswer: 121775\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, b: 5, g: 3, a: 1}. Give prob of sequence grrb.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 569 = 46*k + 707 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3490340 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from {r: 6, j: 7, g: 2, v: 1, e: 1}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-2))\/(522\/(-870)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -84, -152, -220, -288, -356, -424?\n\"Answer: -68*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*b - 25845 + 25689 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -167, 2, -63, 22, -9, 3 in descending order.\nAnswer: 22, 3, 2, -9, -63, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -26*m + 221. Let w be t(5). What is the highest common factor of w and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/20)\/(49\/3626)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -21. What is the remainder when ((-4)\/2)\/(2\/(-105)) is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -10121331?\nAnswer: 10121325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6*a**2 + 6*a**2 - a**2 + 2*a**2 + 2*a**4 + 2*a + a**3 as k*a**3 + z*a**4 + l*a**2 + m*a + b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177 - 132. Calculate the remainder when t is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.66? (a) -3 (b) -6 (c) 12 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-14) + (-3366)\/(-1309). Solve 9 = -c*s - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*((-2295)\/(-4))\/9. Suppose 0*k + f = 5*k. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503612 rounded to the nearest 10000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -6. Solve -2*g + i*g - 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -495.04 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 20. Let c be k(9). Suppose -c + 6 = y. Suppose a - 26 - y = 0. What is the highest common divisor of 20 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164700?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3220215623 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: Is 417158 a multiple of 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/73, -1\/4, -0.5, -0.4, -0.2 in decreasing order.\nAnswer: 2\/73, -0.2, -1\/4, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + (-1 - -34 - 35)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 11*c - 34. Let g be m(-3). What is the first derivative of 5 - 5 + 42*u**2 - g*u**2 - 24 wrt u?\nAnswer: 50*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1545 (base 10) to base 9\nAnswer: -2106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -207 + 138. Let b = c - -69.00000032. What is b rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 29287, 0 in descending order.\nAnswer: 29287, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2) + (0 - 12). Let i(w) = 94*w + 84*w + 5 - 183*w. What is the units digit of i(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375681 is divided by 51?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13445*n + 21850 = 14595*n for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -4*o + x, -o + 3*x + 60 = -0*o. Suppose -4*q + 33 = -o. Let z = 29 - q. What is the lowest common multiple of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*s**2 + 235*s**2 - 192*s**2.\nAnswer: -371*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 7*b - 7. Let d be i(5). Sort d, 1, -0.1.\nAnswer: -0.1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (2 - 0) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*r + 5*g, -2*r = -g - 8 - 1. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -1\/24*f**4 - 1\/4*f**3 - 7 + 33\/2*f**2 - 1\/360*f**5 + 0*f. Let r(l) be the second derivative of a(l). Factor r(k).\nAnswer: -(k + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (4*(4 + (sqrt(500) - (0 + sqrt(500)))))**2)*2.\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 254 * 0.16.\nAnswer: 40.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 172208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 63085, 63079, 63083, 63103, 63145, 63215, 63319, 63463?\n\"Answer: v**3 - v**2 - 10*v + 63095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j. Let n(k) be the first derivative of 0*k - 1\/2*k**2 - 3. What is q(n(p))?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 - 2*d**4 - 3*d**5 + (-d**4 + d**4 + d**5)*(-1 + 0 + 0) - d**5 + 2*d**5 - 3*d**5 + 7*d**5 + 4*d**5 + 0*d**5.\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 4, 2860?\nAnswer: 2860","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.57753066055+-0.2\nAnswer: 0.37753066055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-12)\/60)\/(1\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1770.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015200308485 rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -13.08?\nAnswer: 12.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r - 2. Let f(g) = -21*g + 4. Let y(n) = -4*f(n) - 9*h(n). Calculate the remainder when y(-4) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 10*i - 4*c = 1165, 0 = 4*i - 2*c - 4590. List the prime factors of i.\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 - -101. Let x(g) = g + u + 3 - 17 + 19 + 2. Determine x(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-28)\/35)\/(68\/(-30)). Let k = -272942\/7 - -38992. Put k, i, 3, 1\/4 in increasing order.\nAnswer: 1\/4, k, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-1 + 2 + 5)*(-11 + 11 + 8*w).\nAnswer: 48*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**5 + 695*i**4 + 28796895*i**3 - 259208235*i**2 + 777660210*i - 777677760 = 0. Calculate i.\nAnswer: -2336, 3, 2466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244216709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 834.3044g?\nAnswer: 834304400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 126 = -46. Suppose -2*c + 53 = a + 10, -a + s = -4*c. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (990\/(-16940))\/(-3)*2*4\/(-18)?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (69\/(-2))\/((-3)\/36). What are the prime factors of (2\/3)\/(3\/c)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10093*h = -10101*h + 40 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 543 and -2.\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c**2 - 2*c + 5. Let y be k(-4). Let b = 177 + y. What is the least common multiple of b and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425079?\nAnswer: 3, 73, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6eb + -17387?\nAnswer: -17a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 24 = -4*a. Suppose 17*i = a*i + 505. Suppose -4 - i = -7*p. Calculate the remainder when 58 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -877.4? (a) 0.3 (b) -0.9 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97079 and 772?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22751.\nAnswer: 22751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32543 - -2518?\nAnswer: -30024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 896 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122200493 or -122200492?\nAnswer: -122200493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 - 3796*r - 41272.\nAnswer: -4*(r + 11)*(r + 938)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-15)*l)\/l*l)\/l)**(1\/4)*((l**(-3\/8)\/l)\/l)\/(l**(2\/13)\/l) assuming l is positive.\nAnswer: l**(-549\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*l + 18, p + 9 = 5*l + 3*p. Solve 0 = 7*u - l*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5289 - -5291. Calculate the highest common divisor of 2396 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiimmimiim. What is prob of sequence mm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 5. Let a be u(5). Solve -16 = 4*z - a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a factor of 1210298738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 38?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7675201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 740 and 2275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.903 + -0.097. Which is the nearest to 0.6? (a) -0.5 (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 12 + 30. Calculate the remainder when 83 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -954*s**2 - 30*s + 2. Let g(c) = -318*c**2 - 10*c + 1. Let v(f) = 11*g(f) - 4*i(f). Find the second derivative of v(l) wrt l.\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10\/7)*k)\/(k**(1\/11)*k)*(k**(-2\/3)*k)\/k*k\/(k\/k**33) assuming k is positive.\nAnswer: k**(7118\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -861154 to the nearest 1000.\nAnswer: -861000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -87\/22, 2\/3 in descending order.\nAnswer: 2\/3, -2\/7, -87\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(2\/5)*c))\/(c\/c**(-9))*c**5\/(c**(-2\/19)\/c) assuming c is positive.\nAnswer: c**(-427\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s + 784 + 106*s - 590*s**2 + 594*s**2.\nAnswer: 4*(s + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2 = 6. Let g be (-33)\/(-12) + w\/8. Let 4\/7*m**4 + 2\/7*m**g + 2\/7*m**5 + 0*m**2 + 0*m + 0 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 5 (c) -11993\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3090674 and 1460.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*j - 456 - 459 + 908 + j**3 - 11*j in the form r + u*j + g*j**2 + v*j**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwss when four letters picked without replacement from {m: 8, s: 2, w: 8}.\nAnswer: 4\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125\/36 + -38\/9. Put -0.4, -1\/4, m in ascending order.\nAnswer: m, -0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/(r*r**(2\/15)))**(-14\/3) assuming r is positive.\nAnswer: r**(658\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.10197ml to litres.\nAnswer: 0.00810197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*x + 4128 = 4356. Let s = 0.8 + -1. Which is the smallest value? (a) 0.032 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1780, -2099, -2630, -3373, -4328, -5495, -6874?\nAnswer: -8465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**2 + 98 - 5*h**3 + h - 98 as j*h + k*h**2 + a*h**3 + s and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -410 + -122338?\nAnswer: -122748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*m**2*o**2*q**2 + 2*m**2*o**2 - 87090*m**2 - 2*m*o**2*q**2 + 4957677*m*o**2*q wrt m.\nAnswer: 76*o**2*q**2 + 4*o**2 - 174180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 5. What are the prime factors of h(-7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + v + 1. Suppose 4*z + 11 = u, -5*u + 0*u + z = -55. Let s(l) = 10 - u - 3*l + 2*l. Let b(x) = 2*k(x) + 2*s(x). Let r(q) = -3*q. Give b(r(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - 0. Let j be (0 + -1)*-1*b. Is 2 + j\/(-2)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -532cc?\nAnswer: 532c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 489630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -505*h*n - 569*h - 4*n + 3 with respect to n.\nAnswer: -505*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 4*j**2 + 83*j**4 + 6*j**3 + 1 - 3*j**3 - 82*j**4 to z*j**2 + k*j**4 + i + v*j + r*j**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05233 + 1341689.\nAnswer: 1341688.94767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(2*-4 + 2). Let s be (-1)\/(v\/15)*2. Let z = -23 + 28. Solve 16 = z*f - w + 3*w, -4*f - s*w = -6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/435699 and 49\/70587.\nAnswer: 310653387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a6db4 (base 14) to base 5.\nAnswer: 220104104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61 + 1331?\nAnswer: 1392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-6))\/(384\/(-126) + 3). Suppose 0 = 2*m - 2, 2*j + 5*m = f - 3. Suppose 6*t = -j*t + 12033. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-26)\/(-585)*(-6)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**5\/9 - 5252*r**4\/3 + 73589*r**3\/3 - 205010*r**2\/9 = 0.\nAnswer: -15770, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 2*z**3\/3 + z. Let u(b) = -4 - 51654*b + 4 + 51660*b. Calculate -7*f(t) + 5*u(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 67774?\nAnswer: 203322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -359 + 359 + 333*r in the form a + s*r and give s.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51) + 3*sqrt(816) + (sqrt(102)\/sqrt(2) + sqrt(51))*-1)\/(sqrt(12)\/sqrt(4)*5 - sqrt(6)\/(sqrt(2) - sqrt(18))))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**9\/28 - k**6\/60 + 67*k**5\/60 + 4*k**2 + 1. What is the third derivative of b(c) wrt c?\nAnswer: -2160*c**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7073 + -4852. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -1, 2, 2\/2269, 0.01 in decreasing order.\nAnswer: 2, 1, 0.01, 2\/2269, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.31723691 rounded to three dps?\nAnswer: 84.317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 12:20 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -98*x**2. Let q(o) = 2*o**2 - o**2 + 6*o**2 - 7*o**2 - 2*o**2. What is v(q(y))?\nAnswer: -392*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -3, 8, 21, 36, 53?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 76 = 2*z. Let c = z - -135. What is the remainder when c is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2458*l + 2235*l - 3568 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 3. Let d = 24 - 18. Let y be f(d). Suppose -2*n = n - y. Solve -5*u + t - 11 = -n, 5*u + 30 = 5*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5653073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:12 AM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -5, -4, 0.2611?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -4007?\nAnswer: 4014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16496291753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 68.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -308 + 311. Solve -34 - 1 = 4*w - 5*u, 14 = -w + l*u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 equal to -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12008 - 12005. Sort o, -173, 0.05 in increasing order.\nAnswer: -173, 0.05, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007006185213 rounded to 6 decimal places?\nAnswer: -0.000701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3918 is divided by 2726.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44599*g + 44497*g - 2550 = 0 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 57, 131, 205, 279, 353?\n\"Answer: 74*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/((s\/(s\/s**24))\/s))*s)\/s)\/s**23)\/(s\/s**(-2\/3)*s**(11\/3)))**(-30) assuming s is positive.\nAnswer: s**160","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppvvururpppprpr. What is prob of picking 2 v and 1 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 21537236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1358829829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**3 - 33*k**2\/8 - 9*k\/4 - 42. Suppose n(m) = 0. What is m?\nAnswer: -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2250216773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 2122 = 1110. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27487 is divided by 1624.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = f - 6, 5*y + 14 = -2*f. Let q = y + -2. Let j(t) = -t**3 + 6*t + 0*t**3 - 8*t - 4*t**2. Determine j(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8227819cm?\nAnswer: 0.000008227819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*j - 27, l + l - 57 = -3*j. Let g = -22 + l. Let q be (6\/2)\/g*(-2)\/(-14). Which is the closest to -3? (a) q (b) 0.4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -404190 by 202095.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l\/l**(2\/5))**(-6\/23)\/((l*((l\/(l*l**(-9)))\/l*l)\/l)\/(l*(l*l*l**(-1\/3))\/l*l)))**(-36) assuming l is positive.\nAnswer: l**(30108\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 2*r + 3. Let l be v(-3). Find the third derivative of 2*z**l - 4*z**4 + 4*z**4 + 9*z**2 wrt z.\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 12*g + 34. Let a(d) = d**2 - 3*d - 13. Let h be a(7). Let v be f(h). Suppose -5*k + 2852 = 4*y - v, 4*y - 3068 = -4*k. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 d, and 1 a when four letters picked without replacement from qqdaqoo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**2 - 68748*t + 23769608 = 0.\nAnswer: 353, 16834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a - 3*a + (4*a - 2*a - 3*a)*(-5 + 3 + 0) - 3*a + 2*a + 3*a + 2*a - 9*a + a)*(a**2 + 2*a**2 + 0*a**2).\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1666.56 + -12.56. Is -1 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.5 - -12. Sort 1\/3, i, 3 in decreasing order.\nAnswer: 3, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, x: 1, g: 1, l: 1, w: 5}. What is prob of sequence lx?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 117\/5. Let a = 22\/3 - 103\/12. Let u = 155493 + -155488. Sort -0.2, u, k, a in decreasing order.\nAnswer: u, -0.2, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 14*q + 6. Let v be n(-3). Let l = v - -62. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22035 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82\/(-328))\/(((-153)\/(-3528))\/(-17)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -39455.6453697.\nAnswer: -39455.8453697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -249024, -6.\nAnswer: -249024, -27, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1151*h + 14958. Let x be r(-13). Which is the closest to 1? (a) 2\/7 (b) 1\/7 (c) -2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3736*c + 3734*c = 7 - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4b + -140?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73109894 and 1122?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 95 - 5*j**3 + 492 - 370.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 15*q**2 + 393*q + 5196. Calculate w(-14).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16155, 16196, 16255, 16338, 16451, 16600?\n\"Answer: a**3 + 3*a**2 + 25*a + 16126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6332 (base 10) to base 11.\nAnswer: 4837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (784\/2744)\/(1\/(-2)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 134\/(-16) + (-1 - 0) and (-49)\/(-12) + 14 + -9 + 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559 (base 12) in base 13?\nAnswer: 11b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*a = 10, -3*a + 2*a = -4*r - 2. Let f(o) be the second derivative of o + r - o**2 - 1\/6*o**3. Calculate f(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**2 - q + 22. Let a(m) = -2*m**2 + m. Let v(p) = 2*a(p) + i(p). What is the hundreds digit of v(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.43 at most 47454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-21))\/(v*v**(-2\/83)*v) assuming v is positive.\nAnswer: v**(1662\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 22484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 27 - 29 = 0. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/((v**(-1\/3)*v*v)\/v))**(-20)\/((v**0*v)\/v**3) assuming v is positive.\nAnswer: v**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*3)\/((-5)\/((-20)\/(-12))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105254 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 117 - 85*n + 12*n - 34. Is j(-32) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2*-2)\/(-3). Let a = 8 - 8. Is h greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)\/2*0. What is the second derivative of -3*y + 3*y**4 + y + d*y wrt y?\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.34 and -253.\nAnswer: -86.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*n = -14976, 2*v - 868 - 14101 = -5*n. What are the prime factors of v?\nAnswer: 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -15) + 4 - 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17184 is divided by 215.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3))**(-32)\/((j**(-4)*j)\/j*j\/(j**(-4)\/j)))\/(j*j**(-7)*j*j*j*j**(-1\/3)*(j**(1\/2))**(6\/5)) assuming j is positive.\nAnswer: j**(331\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*f = -37, 71*k + f - 291 - 72 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/160)\/((-4)\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 19 and -3.954748?\nAnswer: 22.954748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 - 6 = -4*m, 4*m = -3*w + 11. Suppose k - 3*g - 26 = 0, 3*k + g - 10 = m*k. Calculate the least common multiple of 68 and k.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*a = 80*a + 152. What is the remainder when 132 is divided by 3*2\/(-6)*4 - a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m - 4*m)*(-3*m**2 + 4*m**2 - 2*m**2) - m**3 - 4*m**2 + 4*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15200400*o**3 - 4*o**2 - 523518305*o?\nAnswer: 91202400*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*i + 17, 3*i - 35 = -5*b - 2*i. Calculate the highest common factor of 48 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 17. Suppose 50 = 7*t + 176. Let m be j(t). Let y(q) = -q**3 - 20*q**2 - 18*q + 19. Let o be y(m). Solve o = -0*s - s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268 divided by -4?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231311362?\nAnswer: 2, 43, 2689667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113043373.\nAnswer: 113043373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10188, 10016, 9834, 9642?\nAnswer: 9440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 + -8 - 21 - -4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.9650988 rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 72\/5 of a meter?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 13*b + 1. What is t(8)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 1. Let d(f) = 10*f**2 - 8*f. Let n(i) = -d(i) - 3*u(i). Let s be n(1). Solve -4 = s*w - 4*o, 5*w - 2*o = 2*w - 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o. Let v = -1329 + 1331. Let m(y) be the second derivative of 8*y + 1\/2*y**3 + 0*y**v + 0. Calculate i(m(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409653 is divided by 102410?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95907042*n**3 - n**2 + 326*n - 60561 wrt n?\nAnswer: -575442252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*o = o + 584, o + 578 = 4*t. Calculate the remainder when t is divided by 43.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1815?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k + 688 - 99 = 0 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2589200004?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/439550 and 179\/295590.\nAnswer: 220214550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2))**35 assuming k is positive.\nAnswer: k**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113699*u**2 - 63*u + 5349.\nAnswer: 227398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*j + 12 = 86*j. Solve 5 = -j*q + 7*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 + 2*p - 3. Let o be 23\/3 - (-2)\/(-3). Let f(k) = 5*k**2 - 3*k + 7. Let l(c) = o*u(c) + 4*f(c). Let d be 7 + -8 + (0 - -6). Calculate l(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - 17 - 16 - x + 22 + (110*x + 21*x + 154*x)*(-4*x + 6*x - 3*x).\nAnswer: -283*x**2 - x - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + -3 - (-9 + 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 174, 191, 192, 171, 122?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, -4, -3, -2?\n\"Answer: j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1310 divided by 9\nAnswer: 1310\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 2*s**2 - s - 12. Let y(c) = -1396*c**3 - 3613*c**2 - 2*c - 24. Let f(l) = -2*d(l) + y(l). Find the third derivative of f(g) wrt g.\nAnswer: -8364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82634460130 rounded to the nearest one million?\nAnswer: -82634000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1901*n + 754*n + 1147*n + 11*n**2.\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.033638 to 1 dp.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 + -2.38. Let m = v + 3. Suppose 0 = 3*t - f + 3, -6 + 2 = 4*t - 5*f. What is the nearest to t in 0.1, m, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 7. Let y(q) = -1114*q - 34475. What is the remainder when y(-31) is divided by t(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/3 + 33659*c\/3 - 794916 = 0. Calculate c.\nAnswer: 71, 33588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -59593.958 rounded to the nearest 1000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 + (-19)\/(57\/30). Sort -197, -4, 0, i in ascending order.\nAnswer: -197, -4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 426, 538, 682, 858, 1066?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 7:57 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1760*s**3 - 12*s**2 + 930*s + 8 wrt s.\nAnswer: 10560*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340*d + 15 = 355*d. Solve 83*b + d = 84*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*k + 207*k = 1586 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*n + 34*n + 35*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p - 7*p)*((3 - 2 + 3)*(1 - 1 - 1) + (1 + 1 + 0)*(2 - 6 + 2)).\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5359*u**3 - 3*u - u + u - 5655*u**3 + (-6*u + 4*u + 0*u)*(-u**2 - 2*u**2 + 0*u**2) in the form n*u + a*u**3 + i + d*u**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -435043 (b) -1\/4 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 + -d8540b?\nAnswer: -d85442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1020 times 135.8\nAnswer: -138516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, b: 4, o: 1, s: 2}. Give prob of sequence xobs.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 8. Let z be d(4). Which is the third smallest value? (a) z (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.80547t to nanograms.\nAnswer: 35805470000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 19510?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 257 or 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/((sqrt(800) - sqrt(800)*2 - sqrt(800) - sqrt(800)) + sqrt(8)))\/(-2*sqrt(128)*-6).\nAnswer: -sqrt(5)\/2784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77\/2 - 39. Let s be (2 + -2 + 1)\/(-1). Let b = -0.1 - 0. What is the closest to b in s, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17540 (b) -8 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3857 - -3858. Which is the third smallest value? (a) s (b) -1\/8 (c) -3\/4 (d) 2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(-2\/5)*k*k)\/k)\/k*k**10\/k*k)\/(k*k**(2\/17)\/k)**39 assuming k is positive.\nAnswer: k**(664\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2 - 9*s**2 + 7 + 4*s + 11*s**2. Is i(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2812*j**3 - 4 + 2806*j**3 + 4 - 17*j**2 to the form r*j**3 + c*j**2 + l*j + d and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57 - -71. What is the lowest common multiple of h and 26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*t**2 + 53*t**4 - 72*t**2 - 54*t**4 - 5 in the form w*t**3 + n*t + g + i*t**4 + p*t**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 31*b**3 - 342*b**2 + 159*b - 1521. What is v(11)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*h = -60*h. Let j(d) = d. Let o be j(0). Is h smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59.3 + -10.3. Let m = -49.21 + z. Let o = -0.2100004 - m. Round o to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 10*z**2 + 11*z - 3. Let n be v(11). Let p(u) = 3*u**2 - 4*u - 2. What is the tens digit of p(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9564\/(-12752))\/(54\/20).\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274510?\nAnswer: 2, 5, 97, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 16*k - 96 = 21, 2*k + 2886 - 2605 = -5*n for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-10) + 862\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165905, -331754, -497603, -663452, -829301, -995150?\nAnswer: -1160999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1241 + -1105. Calculate the highest common factor of v and 1564.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*o**2 - 8\/9*o + 10\/9 = 0. What is o?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 31. Let o be q(6). Let n be -7 - -5 - (-29 + 0). Let h = n + o. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 53893.57 in -2\/7, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 - 10) + (2 - -1). Suppose 3 = -5*w + a*w. Let d(h) = 4*h**2 - h. Calculate the remainder when 18 is divided by d(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 3*w**2 + 2. Let l be f(-3). Suppose l*k = -0*k. What is k rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 1019*z - 257*z - 412*z to g + j*z and give j.\nAnswer: -1688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)\/((z\/z**(2\/5))\/z))\/(z**6\/(z*z*z*z**(-1\/7)*z)) assuming z is positive.\nAnswer: z**(-201\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 5, -16, -9, 0 in decreasing order.\nAnswer: 10, 5, 0, -2, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - 2)*-1)\/(54 - (77 + -35))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 96 = 7*k. What is the highest common divisor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppbzblzbz. What is prob of sequence blp?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1908685 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 AM and 7:50 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 36*m**2 + 68*m - 5. Calculate b(-34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, s: 3, u: 3}. What is prob of picking 1 u and 1 s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 143 (b) -5 (c) 1 (d) -0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.907 in -0.014, -0.3, 10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247 + -135. 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: -1424503122 (base 6) to base 7\nAnswer: -302306105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -446*r**2 + 361.\nAnswer: -892*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 60. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 13 = -4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 23911 (base 10) to base 11\nAnswer: 16a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*r**2 + (-2*r**2 + r**2 + 0*r**2)*(6 - 2 - 2))*(82 - 86 - 30 + 328) as i*r + t*r**2 + h and give t.\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65 and (-7)\/14 - (-1463)\/14?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*w**2 - w**3 - 20*w**2 - 25*w**2 + 63*w**2 - 1 + w to the form b + j*w**2 + k*w + o*w**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 24*u**2 - 500*u + 1663. What is j(4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1573))**2*2 + -2.\nAnswer: 3144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7395737.398 - 192\nAnswer: 7395545.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 - -3 - 124\/(-28) and 31\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2201a97 (base 11) to base 12\nAnswer: 1366427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 58*g + 3 + 58*g.\nAnswer: 116*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5*375\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + m - 8*m + 34*m**3.\nAnswer: 34*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5.\nAnswer: -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2215 + 232649\/105. Calculate the common denominator of 13\/90 and z.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 94 = 7*u. Solve -10*w - 10 = -u*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5357440 - -9257448. Suppose -5*z + s + 19499996 = 0, z = -0*z - 2*s + m. Round z to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2688\/(-352))\/(88\/121*(9\/12)\/3)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 21*a + 69. Let o be m(-2). What is the highest common factor of 6 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 7*y**2\/2 - 194*y + 84. Let l be i(27). Which is the fourth biggest value? (a) 1 (b) 3 (c) -0.2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 1531, 3, 0, -1, -15, -4 in increasing order.\nAnswer: -15, -4, -1, 0, 3, 24, 1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*t + 15, 0*t - 12 = 3*t - 3*r. Let c = -80 + 79. What is the nearest to c in 3, 0.2, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = r + 80241*n - 80250*n, -5*r + 2*n = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/5))**(-2\/45)*b**2*b**(2\/3) assuming b is positive.\nAnswer: b**(596\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4028197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 - (-6)\/(-9). Let h(z) = -z**3 + 4*z**2 - z - 2. Let w be h(3). Solve 4*r = -d + w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**3 + 2*f**2 - 12*f - 129790. Let n be i(0). What is n rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 4 - 104*-2. Suppose 4*b - g = 168. Suppose 2*f + b = 2*t + 7*f, 4*f = -4*t + 212. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53577 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 t when three letters picked without replacement from tffqfffffqfmfvftff?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93925 and 1015?\nAnswer: 19066775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9208 = u, -14*u + 4*t = -16*u + 18412. Round u to the nearest 100.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*y + 16*y - 33*y - 50*y - 1210 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 283564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 3*u = -12, -z + 2*u = -7. Let x be z\/4 - (-260)\/16. Calculate the greatest common divisor of 48 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 2)\/(1\/(-1)). Suppose b = n + n - 4. Suppose 5*v - 5*z - 40 = 0, -2*z = 3*v - 4*z - 20. Which is smaller: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 558*k + 4423168 = -559*k, -3*k + 4423156 = 5*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l**2 - 12*l. Let z be k(-3). Suppose 3*x - 39 = -z*x. What is the remainder when x is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 123*u + 4058. Let i be k(-33). Let a(j) = 15*j**3 + 23 - 8 + j - 14. What is a(i)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-6)*(-8)\/3. Let w(t) = -t**3 + 17*t**2 + 19*t + 64. Let d be w(17). What is the tens digit of (0 + a)*d\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 5, -397, 13 in decreasing order.\nAnswer: 13, 6, 5, 2, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*o**3 - 484*o**3 + 245*o**3.\nAnswer: -46*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18973.55 grams to tonnes.\nAnswer: 0.01897355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.82142, 4, 0, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 50258 = -50321 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1978 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 132397 - 1699\nAnswer: 130698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 7*c - 6. Let h(g) = 3*g**3 - 8*g - 7. Determine 6*h(u) - 7*y(u).\nAnswer: 4*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8950783 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 5)*(-3*r - 11*r - 34*r) as j + a*r and give a.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9332859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 27 + 8 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594 is divided by 160.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a = -57*a - a - 144 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-3)*(-10)\/(280\/(-21)). Let r = -0.2 + -0.1. What is the smallest value in -3, -4, r, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d - 46. Let h(t) = 10*t - 47. Let s(p) = -5*h(p) + 6*u(p). Let k be s(10). Let z(l) = 3 + 4*l - 3. Calculate z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -287.58032 to 1 decimal place.\nAnswer: -287.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13042*j + 13040*j + 2*o + 12, -2*o = -4*j - 0*o + 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 10*q**2 - 25*q + 21. What is l(10)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -95 + 27 - (-9 + 33)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7748 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414288 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d + 13*d + 16*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3 and -30\/89509.\nAnswer: 268527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 161*y + 164*y - 38, -2 = 2*c - y + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28358144 and 1713.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 - 78. Let v(b) = -b**2 - 10*b - 13. Let o be v(-3). Calculate the highest common divisor of o and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.06537 (b) 0.25 (c) -0.2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -456607.2 and 310.4.\nAnswer: -456296.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, 3036146, 3, -3\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001000 - -100010111000?\nAnswer: 100002110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*w**39\/w)\/w*w\/w**(3\/25) assuming w is positive.\nAnswer: w**(997\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + g**2 + 0*g**2 + (4 + 6 + 4)*(g - 5*g - 2*g + (-2 - 3 + 1)*(-4 + 4 + g))*(-3*g + 4*g + 0*g) to k + s*g**2 + a*g and give s.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 15*p**2\/2 - 120*p + 64. What is the units digit of d(31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -87\/5, -0.5, -18, 1\/2, -0.2, 15.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -1\/6 (c) -0.076 (d) 1201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 2*n + 12. Let o be j(4). Let w be 0 + o + -1 + (2 - 0). Suppose -w*d + 11*d - 102 = 0. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 + o**4 - 2*o**4)*(-5*o + 3*o - 44*o) - 3*o**2 + 3*o**2 + 23*o**5.\nAnswer: 69*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1434611 is divided by 204934.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Suppose -4*j = -3*p - j - 18, -3*j + v = -p. Let b(f) = -f**3 - 7*f**2 + 5. Does 2 divide b(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 23 = -i. Sort -78, 5, i in descending order.\nAnswer: 5, i, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 221751667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 155\/90 - (-4)\/(-18). Let o = -11 + 11.8. Let y = -2.2 - o. What is the second smallest value in b, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1112*u - 3761*u - 5182*u - 997*u - 1728*u as n + r*u and give r.\nAnswer: -10556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 52*c + 323. Let q be k(-6). Let v(b) be the first derivative of 0*b**2 - 8*b - 7\/3*b**3 - q. Find the first derivative of v(t) wrt t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 12:07 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of y**4 + 2081803*y**2 + 5019388?\nAnswer: 4*y**3 + 4163606*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a470 (base 12) in base 6?\nAnswer: 215020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 5 - -5 - -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.753631, 1.7.\nAnswer: -0.2, 0.753631, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**3\/6 + y**2\/2 - 5*y. Let j be l(1). Let x be (-2 - (-7)\/6)*-1. Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-11 - 31 - -39 - 1*-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/20377973 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -471*k**4 + 26*k**3 + 13*k - 8484. Let f(i) = -116*i**4 + 6*i**3 + 3*i - 2121. Let g(s) = 26*f(s) - 6*z(s). What is the derivative of g(u) wrt u?\nAnswer: -760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115, 116, 115, 112?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86.1095*0.06.\nAnswer: -5.16657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 675, -812, -3291, -6762, -11225, -16680, -23127?\nAnswer: -30566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o**2 + 6*o + 4. Let k(j) = 26*j**2 - 17*j - 12. Let r = 6925 - 6942. Give r*f(s) - 6*k(s).\nAnswer: -3*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -675652 divided by 2.\nAnswer: -337826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/13520 + -83673\/11505520. Let l = -50443\/33189 - n. What is the common denominator of -51\/8 and l?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n. Let w = 27 - 24. Give m(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880 >= 1882?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 + 243. Is 419 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*d**3 - 2*d**3 + 2*d**3)*(-2 + 5 + 1) + 70*d - 70*d - 4*d**3 + (-2*d + 2 - 2)*(1 - 1 + d**2) to f*d**3 + y + j*d + a*d**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 112\/(-70)*10\/(-4). Let n be 3\/(-20) - (-8)\/20. What is the closest to n in 0, i, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(19))**2 + 3 + -4)*-6.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y. Let j be v(-2). Suppose 2*z = j*z - 20. Suppose 10 = -a - z*u + 1, 2 = -u. Solve -a = x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 36882*g - 36885.\nAnswer: 3*(g - 1)*(g + 12295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by 4216404.\nAnswer: -17\/1405468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/7 - 67*u\/7 = 0. Calculate u.\nAnswer: -67, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 5*u**6\/2 - 5*u**3 - 14. Find the third derivative of t(s) wrt s.\nAnswer: 900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000650893 rounded to 5 dps?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 511 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18, -1, -46, 0.06, 0.1, 178, -8\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27230259.\nAnswer: 3, 7, 1296679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82256198 and 23872?\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25073.4 - -25073. Let i be 2 - -1*(-6)\/(-2). Let z be (-12)\/9*(2 - i). Put 2\/11, s, z in ascending order.\nAnswer: s, 2\/11, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**3\/6 + 3*i**2\/2 - 6*i. Let x(y) = 1. Let m(w) = 2. Let s(b) = m(b) - x(b). Calculate g(n) - 4*s(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20033 + -83537611\/4170. Is n bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*v - 75*v + 5 = 5*u, -5*v + 33 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33228*a = 33208*a + 326680. Calculate the remainder when a is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(50 + 59 + 8)*(-5*h + 16*h - h).\nAnswer: -1170*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 36447247548165 and 0.3?\nAnswer: 36447247548164.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (57\/(-76))\/((-9)\/(-42))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15505 is divided by 1544?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 3*n - 3*n + (0 - 4 + 2)*(-1 + 3 - 3)*(-4*n - 2*n + 5*n) + 2*n - 19*n - 7*n to x*n + g and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3138904781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 123?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnd. What is prob of sequence dn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -335 and -2009\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-2 - -1)*8\/(-4)). Suppose 0*n = -4*n + 20. Sort n, v, 4.\nAnswer: v, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -197*y + 200*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1cda35c99 - -1?\nAnswer: -1cda35c98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971*h - 74171 = 206*h + 96494 for h.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2099.705 - -2098.8. Which is the nearest to 2\/7? (a) 2 (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/(3\/(-15*1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b5 (base 14) in base 10?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 3*a - 5. Suppose -4*q + 11 = j, -20 = -15*q + 10*q + 5*j. What is the least common multiple of y(-2) and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/(-164)*2\/4*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1742284242.\nAnswer: 2, 3, 3584947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43626241*j**2 - 4460*j - 3962?\nAnswer: -87252482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -220 (b) -9 (c) 0.5 (d) -0.6 (e) -1\/13 (f) 2\/7 (g) 30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*m = 3, 3*m = 3*z - 6 - 3. Suppose -d + 24 = i + 2*i, 0 = z*i - 2*d - 8. List the prime factors of i - (-2)\/(-2)*-3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 129*c**2. Let p(w) = 3*w**2 - 4*w - 6. Let s(b) = -21*b**2 + 30*b + 45. Let g(j) = -15*p(j) - 2*s(j). Determine a(g(q)).\nAnswer: 1161*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 378*-1\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/35*(40\/(-3))\/4. Solve -12\/7*s**3 + 2\/7*s**q + 18\/7*s**2 + 0 - 8\/7*s = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5799000 to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 646\/(-190) + 3 - 114\/(-135).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.617 - 0.017. Let x = 76.6 - u. Let k = -65.9 + x. What is the second biggest value in k, 0.8, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r - 26. What are the prime factors of l(20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (-2)\/(-2))\/2. Is 37 - (t + (3 - 1)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17913 - 17914.1911. Let b = 1.2 + q. What is b rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/((-10)\/(-45))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 47 - 12. Let u(v) be the third derivative of v**4\/8 + v**3\/6 + 3*v**2. What are the prime factors of u(r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 - o - 4. Let p be z(4). Let q be p\/6*42\/(-48)*-12. Let i = q - -102. Solve 0 = -2*c - 8, 6*c - 3*c + 12 = -i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8545027 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/16)\/(3\/2). Let h = 41057\/24 - 1711. Let t = 5\/8 + h. What is the nearest to t in -2, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + r + 215. Suppose -185 - 250 = -5*a + 5*z, 231 = 3*a + 3*z. Suppose a = 5*j - r. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 10:12 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(7 - (1 + 3 + 5)). Solve -4*z + 12 = 0, -5*y + z = -j*z + 28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 204241798, 204241800, 204241802, 204241804, 204241806, 204241808?\n\"Answer: 2*x + 204241796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + o - 58, 2*o = -2*j + 27 + 33. Is 28 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.865 + 0.135. Which is the fourth smallest value? (a) 3\/4 (b) -5 (c) 12\/5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 48, 3.\nAnswer: -36, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 900.8252ug in grams?\nAnswer: 0.0009008252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -16*w - 49*w - 280 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. Suppose -v*b = 2*b - 88. Let j = b + -6. Calculate the remainder when 30 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-15 - 1)) + 0 + (8577 - 8585).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62592 is divided by 15647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005875 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 2*q**2 - 2*q + 5. Let v be f(0). Suppose w + 16 = -4*w + 2*t, w + v*t = -14. Sort 8, w, -1, -5 in decreasing order.\nAnswer: 8, -1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 13*x + 19. What is a(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*t = 20 - 2, 3*s = t - 7. Let n be -245 + 0 - (s - 1). Find the common denominator of 37\/6 and 2\/(-8) - n\/20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -12, 0.01, 2\/23, 0, -1\/5, -9?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 68*w**3 + 2*w**2 - 13*w + 25. What are the prime factors of x(2)?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmkkmkkkkkkkkkkkmk. Give prob of picking 2 m.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 9*a + 26. Let d be j(-11). Let g be (-4)\/3*-1*3. Find the third derivative of -3*w**6 + 0*w**6 + g*w**2 + d*w**6 wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 20*g - 15*g - 3*g.\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6287 - -16504. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43329219 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 21273100.\nAnswer: 21273100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*n = 478*n + 585 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3)*c)**(-10)\/(c**(-14\/3)\/((c*c**(-1)\/c)\/c)) assuming c is positive.\nAnswer: c**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 9)*(4*o + 4*o - o) - 6*o + o + 4*o.\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3)\/k*k)**(-48)*k**(-2)*k\/k**(-4)*k)\/((k*k**(-1)\/k)**(-19)*k**(-3\/4)\/(k**(-5)*k)) assuming k is positive.\nAnswer: k**(-201\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1400 and -93\/1400.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8814251\/6 + -1465713. Let o = -3341 + t. Find the common denominator of o and (-2)\/(-7) + 5990\/840.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11000772, -22001554, -33002334, -44003112, -55003888, -66004662, -77005434?\nAnswer: -88006204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**12)**43 assuming l is positive.\nAnswer: l**516","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 - 3*u**4 - 3*u**4 + (-1940*u + 1940*u - 25*u**3)*(4*u - 20*u - u).\nAnswer: 423*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 432 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/29)\/(s*s**3\/s*s))**(17\/3))**30)**(-2\/21) assuming s is positive.\nAnswer: s**(40120\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109 by 376.\nAnswer: 109\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - sqrt(171)*-2*4 - (sqrt(171) + sqrt(171)*-2*-4))\/(sqrt(18)\/(sqrt(216)\/sqrt(12))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 221 = -217. Suppose 0 = z*l + 4*l - 48. What is the lowest common multiple of l and (-3 + 4)\/(1\/9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 12*y + 2*c + 3*c + 160, 0 = 2*y - 11*y + 2*c - 82 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*62*8\/(-16) - -2 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.38 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -13. Let h(y) = -4*y + 5. Calculate the remainder when h(t) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) + sqrt(228) + -2*(sqrt(228) + sqrt(228)*2))) + sqrt(228))\/(sqrt(12) + 1*(sqrt(12) + (sqrt(108) - sqrt(12)))).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 44 = -2*j, 2*y + 5*j = -2*y - 16. Let w be 4\/(-12)*6\/y. What is the second smallest value in w, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 228*m + 254*m - 167*m to l*m + p and give l.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 333446 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -92*s + 95*s + 17, -21 = 4*s + r for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 641c30?\nAnswer: 641c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 2*z**2 - 2*z + 2. Let s be g(1). What is the closest to -1 in 5, s, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24355 (base 8) to base 2.\nAnswer: -10100011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f. Let q(k) = k + 14. Calculate g(q(a)).\nAnswer: 2*a + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.783599 - 0.216401. Let d = -2 - -2.5. Which is the nearest to -0.2? (a) d (b) g (c) 131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14873 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46260486?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 3*x + 9. Let w be j(6). Calculate the greatest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50928 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a - 3. Suppose 78 = -45*d + 58*d. Let k(u) be the second derivative of 29*u**3\/6 - 17*u**2\/2 + u. What is d*k(z) - 34*j(z)?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-8*9\/(-1836).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/(-5)*((-3)\/(-153))\/(-1). Which is the smallest value? (a) -0.3 (b) 5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 e when two letters picked without replacement from pheepeeptt?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 305220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -37*q. Let m(i) = -45*i - 252. Let r(w) = -w - 21. Let f(b) = m(b) - 12*r(b). Calculate d(f(c)).\nAnswer: 1221*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*d = -2, 0 = -0*d - 3*d + 3. Let f be ((q + -1)*1)\/1. Let o(j) = 15*j. Does 15 divide o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336884105?\nAnswer: 3, 5, 89125607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 58437776 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -16*f**3 + 720*f**2 + f - 30. Determine c(45).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyiiilyilliilmyly. Give prob of picking 2 i and 1 m.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Let f = 52\/9 - 310\/63. What is a in f*a + 4\/7 + 2\/7*a**z = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 7*k + 2*q - 71 = 0, -2*k + 38 = 5*q for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + -3*sqrt(121))*1 - sqrt(121))\/(-1*sqrt(99)) + (sqrt(99) + -2*sqrt(99) + 4 - (sqrt(44) + 1 + sqrt(176)*4 + sqrt(11))).\nAnswer: -21*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 + 6*r - 18. Is d(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 3*l - 9. Let m be s(5). Let r be ((-105)\/(-25))\/m - (4 - 0). Factor 0 + 1\/5*q + r*q**2.\nAnswer: q*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8140573?\nAnswer: 7, 127, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**3 + 34*o**2 + 22*o + 14. Let s be r(12). Put -5, 0, s, -3 in ascending order.\nAnswer: s, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + i + 454 = 0, z + i = -2*i + 78. What is the first derivative of 56*s - 299 - 41*s - z*s wrt s?\nAnswer: -75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-154)\/(-6) - -1)*6. Suppose -50 + g = 5*c. Solve z + 2*z - c = -5*f, -2*z = 4*f - 18 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20333341349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36674455 and 21545?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 371, 384, 407, 446, 507, 596, 719, 882?\n\"Answer: m**3 - m**2 + 9*m + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 477516?\nAnswer: 477516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esr when three letters picked without replacement from {e: 3, r: 2, s: 7, v: 7}?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 + 41*m + 21 + 11*m to the form v*m + w and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -65\/57, -26.5, 5, 1\/4, -1?\nAnswer: -26.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11786 is divided by 5890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(t + 5*t - 3*t) + (-1130 + 107 + 326)*(0*t - 5*t + 2*t) in the form b*t + f and give b.\nAnswer: 2088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2440335 (base 6) to base 10\nAnswer: -129731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 11*y - 42. Let j be u(21). Let i = 13 + j. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -15, 2 in increasing order.\nAnswer: -15, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(1377)*-2 - sqrt(1377)) + sqrt(1377) + sqrt(1377)) + sqrt(1377))*-6*6*-6)**2.\nAnswer: 1606132800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = 3*k - 18110. Let p = k + -19891\/11. Is 3 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45966672 - 45966672 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -234 (b) -2\/301 (c) -2\/11 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 7*q + 8 = -10*l + 14*l - 9, -7 = -2*l - 5*q for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c + 544 = 24*c. What is the smallest common multiple of 40 and c?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-536)\/(-14) - 6\/21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48508 (base 12) in base 16?\nAnswer: -17cd8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1 + 3*p + 4 + 3*p**2 - 2*p**3 + p**3. Let a be r(4). Let i(x) = 5*x**2 + 7*x + 5. Let u(k) = k**2 + k + 1. Let q(h) = a*i(h) + 3*u(h). Factor q(l).\nAnswer: -2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l + 66 = -3*l + 134 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen fifths of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = j + 62 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2*(-38954)\/40 + 228\/760)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34343845 to the power of 1\/3, to the nearest integer?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 - -88. Let z be y - ((3 + -1 - 4) + 1). Let q(j) = -12*j**3 + j**2. Calculate q(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -48*t**2 - 37*t - 65. Is x(-29) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, h: 14}. What is prob of sequence ee?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 - 11*f**3 + 1127 + 5*f**3 + 19*f**3 - 1127.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*l**3*m**2 - 1142*l**3*m + 5*l**3 - l**2*m**2 - 2*l**2*m - 15*l*m**2 - 254*l*m wrt l.\nAnswer: 30*m**2 - 6852*m + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 183, 597, 1229, 2073, 3123, 4373, 5817, 7449?\n\"Answer: -i**3 + 115*i**2 + 76*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 7*u - 1. Suppose 5*i = j + 41, j + 29 = 23. What is x(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111\/(1000776\/(-368)))\/(16\/(-21)).\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 400 + -285. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60329 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {x: 11, w: 2, y: 7}.\nAnswer: 77\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iizzzzwizzzizziiz. Give prob of picking 2 i.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 5:26 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294 by -98.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2. Let q(r) = -r - 3. Let a(u) = 7*b(u) - 3*q(u). Let z = -133 - -125. Let w(s) = 5*s - 8. Let o(h) = z*a(h) + 5*w(h). Let p(g) = g. Give p(o(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1106667557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -939\/8 (b) 70 (c) -158\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (6 - (36 - -12)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pkvoknokvpog. Give prob of picking 1 k, 1 g, and 1 n.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1722, -378, -2478, -4578, -6678, -8778?\nAnswer: -10878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10b + 0?\nAnswer: -10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = b - 5906, 3*t + b - 4485 + 55 = 0. Let k = -835 + t. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -519154.81321 and 53.\nAnswer: -519101.81321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3487 = 7*v + 302. Suppose -5*p + v = -3*b + 25, b + 173 = 2*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) -545 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 706 and -11.1.\nAnswer: 694.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2450 at most 73603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2495035458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1203 = -169*o - 225*d + 230*d, 0 = -d - 4 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/4 - 3*z - 3\/4*z**2.\nAnswer: -3*(z + 1)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 - 24*u - 9. Let y(i) = -i**2 - 6*i - 2. Suppose 0 = 15*d - 39 - 96. Let j = -5 + 3. Let r(z) = d*y(z) + j*m(z). Factor r(x).\nAnswer: -3*x*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*d**2 + 257*d**2 - 146*d**2 + 2*d**2 + 3*d**2 - 3*d**2 + (-2*d + 2*d + 2*d**2)*(2 + 0 - 6))*(2*d - 17*d - 6*d)*(-4 + 4 + 2).\nAnswer: 1596*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10*b - 9. Suppose -5*y = -y - 20. Suppose -5*a + 5*j + 25 = 0, y*j + 3 = 2*a - 10. What are the prime factors of o(a)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*(-453)\/(-604).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 7:06 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.9 - -3.4. What is t rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from wwvwvvvwww.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/5*(-12)\/36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.88, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m + 0 - 490567*m**2 + 3 + 7246881*m**2. Let j be o(-2). Suppose 9625251 = -3*z + j. Round z to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 5*j**2 + 2*j - 2. Give z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5902, -11779, -17680, -23611, -29578, -35587?\nAnswer: -41644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 36. Calculate the remainder when 5 is divided by (-126)\/s + 12\/66.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by -3 - (1 + -12 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + 303?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -4502\nAnswer: 5\/2251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -290*((-3763)\/710)\/53.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 4 (c) 2\/15 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*j - 7878 = 4024 + 4660 for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 5\/12*y**4 + 0*y**3 + 5*y + 0 - 3\/2*y**2. What is the first derivative of v(m) wrt m?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826402\/9 >= 91822?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-207)\/6*(-4)\/3. Let h(t) = -31*t + 59. Let o be h(3). Let b = o + f. Calculate the remainder when 47 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37591*k*s - 139745*s wrt k.\nAnswer: 37591*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/765 in 4\/3, -0.04, -2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*x**2\/5 + 12*x\/5 - 6426\/5.\nAnswer: 2*(x - 21)*(7*x + 153)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 582*q**2 + 3 - 5 - 567*q**2 - 1 + 3.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 66061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15877890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -46*d**2 + 3*d - 3. Let h(l) = -496*l**2 + 32*l - 32. Let s(c) = -3*h(c) + 32*z(c). Let v(m) = 132*m. What is s(v(t))?\nAnswer: 278784*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1457, -2911, -4367, -5825, -7285, -8747?\n\"Answer: -h**2 - 1451*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 36*x - 29. Let q be j(17). Suppose -5*t - 3*i - 30 = -5*i, -i + 5 = 0. Suppose -h = -4*h. Sort h, q, t in descending order.\nAnswer: q, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2162107077?\nAnswer: 3, 13, 4264511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:39 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 708*u**2 + 621 with respect to u.\nAnswer: 1416*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9739422)\/(-182) - (-15)\/(975\/(-20)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m + m - 2*m)*(3 + 3 - 4) + 9 - 9 - m + 2*m - 2*m - 2*m)*(-3 + 2*m + 3).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -51655.\nAnswer: -51658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*w + 217 + 494 = 41*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 21 = 3*s, 34*s - 152*s + 357 = m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9144 and 1592.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -819223, -1638448, -2457673, -3276898?\n\"Answer: -819225*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + s + 2)*(-5 + 21 + 1 + (-2 - 2 + 3)*(-1 + 2 + 0) + 1 - 2 + 0)*(6*s**3 + 2*s**3 - 4*s**3).\nAnswer: 60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 941, 3796, 8563, 15242, 23833, 34336?\n\"Answer: 956*i**2 - 13*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6a2 - 1?\nAnswer: 6a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*c + 595047 - 179127 = 0. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225115442 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5 + 10*q + 2 + 0 + 2. Let x be v(6). Suppose 3*h + 2 = x. Solve 6*u - 2*u - h = -z, -u = 5*z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 516 and 38292?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*y - 7 = 0, 0 = -4*f + 5*f + y - 2. Suppose c - 10 = u, -5*c - f*u = 6 - 76. What is the remainder when 23 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m**4\/4 - 5*m**3\/3 + 6*m**2 - 28*m + 92. Let b be n(4). Put b, 3, -5 in increasing order.\nAnswer: -5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*k + 13*k**2 - 16 - k**2 - 78*k - k**3 to the form d*k**2 + y*k**3 + u*k + i and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o = -596 + 612 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*w + 112*w + 24*w + 75*w.\nAnswer: 259*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 10*a**2 - 400*a.\nAnswer: 5*a*(a - 8)*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h**4 + 46*h**2 - 42*h**2 - 4*h - 7*h**4 to m*h**3 + k*h**4 + i*h + p*h**2 + x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, -1, -56\/9, -3856 in descending order.\nAnswer: 4, 0.2, -1, -56\/9, -3856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g - 40. Let b be u(14). Let n(m) = 12 - b*m + 13 + 10*m + 35. What are the prime factors of n(-8)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*(-26)\/26.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -969 less than or equal to -69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2878361744?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -126 (base 9) to base 3\nAnswer: -10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64037172.8 - 4.\nAnswer: -64037176.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4585 by 655.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*8 - ((-5)\/15)\/((-22)\/(-660)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = 5*g. Let p = 39 - 72. What is the units digit of -1 - (p + g - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160750.\nAnswer: 2, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/15 - 3*44632\/(-60).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16000 + -6222. What is the thousands digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3 + 0 - 4 + 24*j - 26*j + 3*j. Let h(w) = 8*w + 1. Determine -h(t) + 6*m(t).\nAnswer: -2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085787.\nAnswer: 3, 223, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6\/2599 + 174331\/85767. Calculate the common denominator of 79\/18 and h.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26254406 is divided by 1347?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10800805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 42416778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 14. Let w be c(6). Suppose 5*p = -x + 573, w*p - 5*x = -p + 355. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39725*r**3 + 40*r**2 + 160*r + 1 wrt r?\nAnswer: -238350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, g: 1, i: 1, p: 2}. What is prob of picking 2 p and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -401*x**4\/4 + 5*x**3 + 6*x - 931. Find the third derivative of b(f) wrt f.\nAnswer: -2406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 33 = -3. Let z = 36 + s. Does 26 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -331 + 332. Let b(w) = 6*w - 2. Let z(o) = o + 1. Give i*z(x) + b(x).\nAnswer: 7*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 plus 1666?\nAnswer: 1664.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2553206 is divided by 1210.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(8 - 0 - 4). Let g(k) = f*k - 1 - 3 + 2 + k**2 - 1. Suppose -h = -4*h - 18. Calculate g(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5 + 54*j**4 - 47067*j**3 + 3393908*j**2 - 21471996*j = 0.\nAnswer: -273, 0, 7, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164905.\nAnswer: 5, 13, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q + 3\/2*q**2 + 0*q**3 - 10 + 9\/4*q**4. Is a(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 111*x + 1 - 1 - 5 + 2. Let d be (272\/85 - 12\/(-15)) + -3. What are the prime factors of a(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -39*x + 14. What are the prime factors of q(-4)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 14. Let d be v(8). Let x be 124\/d + 32\/(-48). Suppose 3*q + x = 7*q. Calculate the highest common factor of q and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -86, -153, -272, -461?\nAnswer: -738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 5*g = 145 + 395. What is the highest common divisor of g and 5886?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6509339, 13018684, 19528029?\n\"Answer: 6509345*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s + 50*s + 26*s - 122*s.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-2)\/1 - 4. Let w(f) = f - 1. Let u(b) = -3 - 4 + 5. Determine k*u(t) + 2*w(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 0.833, -2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - (1 - 3)) - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -514 + -108?\nAnswer: -61c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + h**3 - h**3 - h**4 + 3*h**4 + 0*h**4 + (h - h**3 - h)*(-4 - 2*h + 4)*(1 + 4 - 3).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 31*v**2 - 32*v**2 + 6 + 1.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*z**2 + 0 - 4\/7*z - 4\/7*z**4 + 4\/7*z**3.\nAnswer: -4*z*(z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 51. Which is bigger: q or 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*d + 28*d + 67*d.\nAnswer: 224*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 - 3*i**4 + 0*i**4 - 6*i**4 + 4*i**4 + 0*i**4 - 3*i**4 + 0*i**4 + 4*i**4 + (-i - 2*i**2 + i)*(7 - 7 + i**2).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 8, 14, 18, 20, 20, 18?\n\"Answer: -q**2 + 11*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2396)\/37138)\/(63\/31)?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -1, -1\/4, -0.04?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = y, 3*q - 19 + 7 = 0. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203152 divided by -206\nAnswer: 101576\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.224 + 21.624. Let m = 14.7 - k. What is m rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 1. Let a be (138\/n)\/((-6)\/(-16)). Let z = a + -27. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-12)\/(-9)*6. Let v = -8 + x. Let w = -11 + 24. Put w, -3, v in decreasing order.\nAnswer: w, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 4*v**2 + 4*v + 1. What are the prime factors of r(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6756590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4856*q + 48773 = -1425*q + 1819*q - 94011 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 + 67. Let x = 40 + g. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50\/663 + 1069\/12597. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -10*c + 41. Give n(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1036 + 148*y - 148*y - 59*y**3 + 61.\nAnswer: -59*y**3 + 1097","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 47136*a**2 + 94260*a + 47128.\nAnswer: 4*(a + 1)**2*(a + 11782)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-293)\/(-25)*(-3)\/(-63). Let i be (-1)\/3*(-2)\/(-50). Let k = i - o. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 743\/4*j + 1\/8*j**2 + 552049\/8.\nAnswer: (j + 743)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 6 = v, 7*z - 58*v - 59 = -48*v for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 6*w**2 + 9*w - 9. Calculate s(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -3*f + 27. Factor 29*c**2 + 12*c + 46*c**f - 31*c**3 - 5*c**2 + 3*c**4.\nAnswer: 3*c*(c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11209 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10033436 and 18838288.\nAnswer: 923076112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*173\/(95150\/(-3960)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 11. Suppose -t = -3*t + 6*t. Calculate the remainder when k(t) is divided by 4\/(-18) - 168\/(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*s + 74202 = -58*s. Let p = -57272 + s. Let r = p + 9971. What is r rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1101*q**2. Let x(r) = -27*r. Give f(x(n)).\nAnswer: 802629*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10130003 (base 4) to base 2\nAnswer: -100011100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -95354.9 times -0.64\nAnswer: 61027.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-550)\/(-5940)*(-24)\/(-8)*-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6935262, -6935257, -6935250, -6935241?\nAnswer: -6935230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 120 = 2*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/67, 2, 0.5, 0.3 in descending order.\nAnswer: 2, 0.5, 0.3, 1\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 5*a + a)*(-8*a + 15*a + 9*a)*(0*a**2 + a**2 + 0*a**2).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-60))\/((-151)\/((-7550)\/(-120)))?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -349, -333, -287, -193, -33, 211?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9956)\/(-16) + 1\/(-4). Let m = s - 1203\/2. What is the common denominator of m and -17\/98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Let g(n) = -5*n + 2. Let o(p) = -p. Let a(r) = -g(r) + 3*o(r). Give a(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.2 - -22. What is the nearest to 1 in h, 5, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*4*((sqrt(245) + (sqrt(245) - sqrt(245)*1) + sqrt(245))*-5 + 1 + 5)**2*6.\nAnswer: -1177728 + 40320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/11)*f)\/f)\/f**(-2\/13)*f**(2\/11)*(f*f**4)\/f)\/((f**(1\/3)\/f)**(4\/31)\/(f**(-1)*(f\/(f\/(f\/f**(-3\/2)*f)*f)*f)\/f)) assuming f is positive.\nAnswer: f**(162341\/26598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1168 and 3664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -3*q**2. Let o(j) = 21*j - 654. Calculate o(t(m)).\nAnswer: -63*m**2 - 654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u + 1. Let v be n(0). Let d(o) = 7*o - v - 4*o - 2*o. Let x(a) = 6 + 5*a - 10*a + a - a + 2*a. What is -6*d(l) - x(l)?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1285065306 divided by 2\nAnswer: 642532653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17663 by 1.\nAnswer: 17663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 0.4 (c) 0.2 (d) -43 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-96)*-6*11*(935\/(-242) - -4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrei when four letters picked without replacement from bbbreibrbgre.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*w = -24, 3*y + w - 8 = -1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27920 and 720.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*(-2*(sqrt(425) + -5*sqrt(425) + sqrt(425)) + -4))**2.\nAnswer: -54000*sqrt(17) + 3446100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(11) + sqrt(11) + (sqrt(99) + 2*sqrt(99))\/sqrt(9) - sqrt(11)).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -158 or 1943?\nAnswer: 1943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 - 2*r + 16. What is y(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + b + 14. Let l be i(0). Let -44*y + l*y**2 - 16*y + 29*y**3 + 20 + 51*y**2 - 59*y**3 + 5*y**4 = 0. Calculate y.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -78, 61.\nAnswer: -78, -1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1043113.\nAnswer: -1043114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h + 9 - 25 - 8. Let a(x) = 7*x - 48. Let v(f) = 3*a(f) - 5*j(f). Is 26 a factor of v(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 553682 times -0.59\nAnswer: -326672.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049495 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -214 + -258.\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 898536 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j + 12. Give s(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-1)\/(-16) - (-48833208)\/(-576). What is b rounded to the nearest one thousand?\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 52728.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 14*y**3 - 63 + 136 - 67 - 2*y + y**4 in the form j*y**2 + o*y**4 + v*y**3 + w + b*y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((0 + 1*3*sqrt(475))*-2)**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 277 - 37. Does 40 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 726.7 and 2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 126*b + 1817. Calculate j(-41).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8629254 is divided by 783.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**4\/4 - u**3\/3 + u**2\/2 + 4*u - 11. Let x be o(0). Factor -2\/9*s**x + 2\/9 + 0*s**2 + 4\/9*s - 4\/9*s**3.\nAnswer: -2*(s - 1)*(s + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 14) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*45\/(-468)*(-34)\/(-85).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -151, -161, -185, -229, -299, -401, -541?\n\"Answer: -v**3 - v**2 - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -909\/70 - -173\/14. Let l be (-6)\/(-21) - (-5)\/(-7). Let v = l - x. Which is the third biggest value? (a) v (b) -2 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + g - 2, -4*z = 5*g + 44. Let b(r) = -r**3 - 6*r**2 - 3*r - 7. What are the prime factors of b(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 196 + -142 - (30 + -39).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39\/158 + -8763\/14378. Calculate the common denominator of 59\/10 and i.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43794 and 4050.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**5\/20 + p**4\/3 - p**3\/2 + 2*p**2 + p. Let w be g(-5). Let i = -4 - w. Solve 0*b + 6 = i*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4841052?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3*(-3)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -10020220010201?\nAnswer: -10020220010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151 + -1659\/11. Let f(k) = 7*k**2 - 30*k**2 + 44*k - 6*k**3 + 7*k**3 - 31 - 12. Let u be f(21). Which is greater: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 3 (c) -3\/7 (d) 4 (e) 9\/16 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 126 - 105. Let o be 2\/4 - 166\/(-4). Suppose 8*f = -4*j + 3*f + 34, 4*j - o = -f. Calculate the remainder when i is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n**2 - 326*n + 1313. Let p(v) = 5*v**2 + 309*v - 1312. Let i(y) = -3*p(y) - 2*z(y). Differentiate i(d) with respect to d.\nAnswer: -6*d - 275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in 2\/5, -0.5, 3, 252, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440 and 18712?\nAnswer: 1029160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 4*q**2 - 12*q**3)*(0*q**2 + 2*q**2 + 0*q**2 + (-3*q + q + 3*q)*(-q - 2*q + 4*q))*(-2 + 5 - 7).\nAnswer: 144*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-114)\/4)\/(((-18)\/4)\/(-9)). Let t = f + 61. Solve 2*h + 0 - t = -4*a, 3*h - 2*a = 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 11522.\nAnswer: -11521.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9910*w**2 - 4068*w**3 - 3970*w**2 - 10637*w + 36773*w - 95*w**4 - 4*w**5 - 165*w**4 = 0. Calculate w.\nAnswer: -33, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 87.444 and -0.5?\nAnswer: -43.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + y + 3*y)*(-y - y + 3*y) - y**2 + 2*y**2 - 5*y**2 + (-3*y**2 + 7*y**2 - 3*y**2)*(-152 - 120 - 225 - 44) as u*y + v*y**2 + g and give v.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(-5\/2)\/c)*c*c**(-5\/3))**(-4\/9) assuming c is positive.\nAnswer: c**(-58\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (135 - (-9 - (-7 + -13 + -17) - 16)) + -1.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 7*s + 15. Give k(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 394176.\nAnswer: 4335936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 62059777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-4\/5)*s)**16)**(-28\/9))**(-39) assuming s is positive.\nAnswer: s**(5824\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 12 = 0, 4*o - 23*n + 22*n = 0. Let g = -2201\/14740 - 1\/1474. Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8 + -1)\/((-18)\/4).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 575675147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 0 + 1\/6*i - 1\/6*i**4 + 1\/2*i**3 - 1\/2*i**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*c + 3*b + b, 31 = 3*c + 5*b. Let i be (-6)\/3 + (-14)\/(-6). Factor -i*l**c - 1\/3*l + 1\/3 + 1\/3*l**3.\nAnswer: (l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466187 a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 2*d + 2. Let q be l(2). Let h = 3 - q. Let w(r) = r**3 - 6*r**2 - 6*r + 4. Let p be w(7). Solve 0 = i + 4*f - p, 3*i - h - 11 = -5*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = 4*x - 7*d - 7, 4*x = d - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 13*n + 45. Let m be t(-3). Let f(x) = -m + x - 17 + 19 - 2*x**2. Give f(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4676 or -0.049?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1183593 and 10663.\nAnswer: 1183593","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 1 (b) 8 (c) 0.2 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742?\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-75)\/(-10))\/(1\/(-2)). Suppose -3 = -x - 2. Let m be x*3*u\/(-9). Solve -1 - m = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -92.5483.\nAnswer: -92.1483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 774805202 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + 44745?\nAnswer: 44723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**4\/6 - p**2. Let d(z) = 5*z + 1. Let a = 670 + -667. What is a*q(w) - 2*d(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -10, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 9*(-352)\/(-408) + -2\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*h = -48, -18 - 2 = -4*h. Let k = -12 - 18. Calculate the remainder when (-2)\/((3 + 0)\/k) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*((y*y**(-1\/3)*y*y)\/y)\/y*y*y*y*(y\/(y**(-5)*y)*y)\/y)\/(y**(-2\/3)*y*y)**27 assuming y is positive.\nAnswer: y**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -19579*h - 137050. What is v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46537968, 46537971, 46537974, 46537977, 46537980, 46537983?\nAnswer: 46537986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(637) + 1 - 2*(sqrt(637) + sqrt(637) + -1)**2)*5.\nAnswer: -25490 + 315*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*4\/8 + -22. Let y = t - -50. Let p be (16 - 14)*(-2 + 98). Calculate the highest common divisor of p and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 2126*q**2 - 531360*q + 38788632.\nAnswer: -2*(q - 739)*(q - 162)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7253809168.2 - -1286?\nAnswer: -7253807882.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4361276864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*y**4 + 3*y**2 - 874*y wrt y?\nAnswer: -1068*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.88 times 390298\nAnswer: -343462.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90166935 is divided by 1069.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**4 - w**2\/2 - 3. Let l(d) be the second derivative of g(d). Does 12 divide l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5872 (base 9) in base 4?\nAnswer: -1010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-200)\/(-2*-9*7\/(-441)). Calculate the highest common factor of 28 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j**3 + 6*j - 4. Let c(u) = -u**3 + 1. What is 4*c(w) + t(w)?\nAnswer: 2*w**3 + 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-10)*200\/300 + 0 + -6.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0 + 6*m**2 + 0*m**3 + 0*m + 1\/12*m**4. What is the smallest common multiple of 42 and g(8)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 2*m, -2*r - 3*m = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0668 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 8747*h**2 + 13621*h**2 + 8288*h**2 in the form z*h**2 + w*h + v and give z.\nAnswer: 30656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-306)\/(-1530) - (-1 - (-24)\/(-5)). Let j(a) = -a**2 + 3*a + 20. Determine j(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131826, -263588, -395348, -527106, -658862, -790616?\nAnswer: -922368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/15 (b) -1 (c) 61\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - 2*k**2 + k + 1. Let v be n(-2). Suppose 20 = v*h - 3*h. Suppose -2*t = -2*w - 3*t + 15805, -h*w + 39495 = -t. Round w to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 10:30 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*a + 11 - 28 = 0, 25 = 5*x + 5*a. Solve 8*k - 10 = 4*g + 3*k, -x*g + 3*k = 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2 (c) -2 (d) 4 (e) -2\/31057 (f) -23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*q - 9, q = 6*q + r - 5. Suppose 24 = 3*x + x + 4*k, 8 = 2*x - q*k. Suppose 14 = -5*u - 1, 0 = x*y + 4*u + 12. Solve -4*g + y*g = 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4 = -2*z, -4 = 2*a - z. Is a <= 3\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 332727165\nAnswer: 1996362990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2791*d**2 + 922*d**2 + 2*d + 931*d**2 + 940*d**2 + 5 - 70*d**3 as m*d**3 + f*d**2 + l + o*d and give m.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13453216 a multiple of 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1053) + sqrt(1053) + 1 + 0 + -1 + sqrt(1053) + 1 + -2 + sqrt(1053) + sqrt(1053))**2.\nAnswer: -180*sqrt(13) + 26329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/(d**(-4)\/d))**(3\/16)\/(d*d**(-4)*d*(d**4\/d)\/d)**(-7\/5) assuming d is positive.\nAnswer: d**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -1. Let h = v - -8.4. Which is the third biggest value? (a) -0.2 (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 7156664 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3318 is divided by 255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1691, 0.16.\nAnswer: -5, 0.16, 1691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 - 91.0000103. Round a to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300441?\nAnswer: 3, 17, 43, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**4\/21 - 1220*s**3\/21 - 174*s**2 - 12*s - 89. Factor t(q).\nAnswer: -4*(q + 1)*(q + 609)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a - 110*a**2 + 94 + 55 + 100 - 249 in the form m*a**2 + y + q*a and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/2 + 9*j**3\/4 + 5*j**2\/4.\nAnswer: -j**2*(j - 5)*(2*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.9 - 15.9. Let m be ((0\/(-1))\/(-1))\/(-1). What is the second smallest value in m, 2\/7, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.2 (b) -3265\/7 (c) 2\/15 (d) -0.2 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**2 - 7887 + 7887. Let j(m) = 2*m**2 - 5*m. Let o(u) = -6*u**2 + 14*u. Let i(g) = -14*j(g) - 5*o(g). Calculate n(i(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -21201 (base 3) to base 15\nAnswer: -dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/6618458 and 107\/218792?\nAnswer: 26473832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -17 - (91 + -98)) + 5. Let x(b) = b**3 + 7*b**2 + 5*b - 9. What is x(y)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 337220 to the power of 1\/2, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 918469092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 83863 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**7*a**(1\/20)\/a*(a\/a**(-6))\/a**(-11) assuming a is positive.\nAnswer: a**(481\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + a**2 - 4*a**2 + 2*a**2 + 3*a**2 + (-2 + 2 - 2*a)*(0*a + 4*a - 5*a) - 2 + 2 - 2*a**2 + 36172*a - 4 - 19*a**2 - 18085*a - 18085*a.\nAnswer: -17*a**2 + 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-6)\/5)*716\/2685\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + (-44)\/(-8). Suppose 0*m + h*m = 35. Calculate the highest common factor of m and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 978, 1324, 1908, 2736, 3814?\n\"Answer: d**3 + 113*d**2 + 864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -100725*k - 704962. Determine v(-7).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*l**2 + 1292\/5*l - 208658\/5.\nAnswer: -2*(l - 323)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**3 - 3*k**2 + 5*k - 8. Give f(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35970 is divided by 17961.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {t: 9, a: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 895*m**2 - 621*m**2 + 2891*m**2 - 878*m**2 + 2700*m**2.\nAnswer: 4987*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-1)\/(-2) + 0). Suppose 2*b = -d*l + 14, -7 = -4*l - 2*b + 7*b. Is 119\/(1*(4 - l)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lb when two letters picked without replacement from bll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 6*d**2 - 4*d + 5. Let z be h(-5). Let p be 1*(8\/(-1) - 1). Let b be (-3)\/1*(-2)\/p. Is z at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2, 18\/7, 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kksisgkika. What is prob of sequence aik?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-63228\nAnswer: -12645.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -114535 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d - 522 = -5*k, 2 = d. Let o = k + 63. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8508.97 + -8519. Is q less than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -43. Let p = -31 - j. Which is the fourth biggest value? (a) p (b) -0.1 (c) -6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 1:41 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k. Let m(s) = -70*s. Give m(n) + 28*r(n).\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**2*y + 2*p**2 - 2*p*y**2 - 46*p - 437*y**2 - 22 with respect to y.\nAnswer: -2*p**2 - 4*p*y - 874*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*f + 106, -1812*f - 2*s + 78 = -1817*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 less than 26.648065191?\nAnswer: 14.648065191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000078525151 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22040, -21810, -21418, -20858, -20124, -19210?\n\"Answer: j**3 + 75*j**2 - 2*j - 22114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 28*o + 26*o - 3, -4*g = -3*o - 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 10. Let h(x) = x**3 + 7*x**2 - 8*x + 10. Let w(t) = 15*t**2 - t + 4. What is the least common multiple of h(m) and w(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100.9 - 96. Let b = 5 - g. Let k = b + -0.116. What is k rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5 = -4*w + 51, 0 = 4*w + 3*d - 28. Let l be 4\/w + 44\/(-10). Put -3, l, -5 in ascending order.\nAnswer: -5, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468059 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: Four letters picked without replacement from {k: 1, s: 4, t: 5}. What is prob of sequence stss?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3.734 - 1442027\nAnswer: -1442023.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a decade?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 450 divided by 146\nAnswer: 225\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 603023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 4*i**2 + 9*i - 10. Let r be j(-6). Suppose 3*u - 16 - 5 = 0. Is u equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 less than -34.01?\nAnswer: -53.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2452 < -2441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + m**2 + (-m + 3*m - m)*(4 + 2*m - 4) - 3*m**2 + m**2 + 3*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 16) in base 11?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 2*v**2 - v - 1. Let i be x(2). Let u(m) = -m**2 - m + 3. Let l be u(i). Sort l, 1, 0.\nAnswer: l, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58543, -117086, -175621, -234148, -292667?\nAnswer: -351178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 10. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 22*d**2 - 21*d + 61. Let x be a(-23). Solve 5*p + x = -0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16428?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 4)*(-4*f - 2*f + 5*f) - f + 5*f - 2*f - f + 4*f - f)*(-18*f**4 - 212*f**3 + 212*f**3).\nAnswer: -90*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(272) + 0)**2.\nAnswer: -32*sqrt(17) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -6, -17, -30?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/24938 and -167\/814866?\nAnswer: 30150042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -53. Suppose d - 75 = -2*h. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.268 + -69.732. Let a = t + 74. What is the nearest to a in 0, -0.5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14 - -34 - (0 - 1)*1. Let v = f + -21. Suppose -8*o - o - 477000 = v. What is o rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*l + 35, 5*l - 3*b = 17 + 12. Suppose 0 = -2*k + 5 + 25. Solve n = l*n - k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 5*z - 9. Let t be y(7). Let v(q) = -q**3 + 7*q**2 + 8*q + 6. Let f be v(8). What is the units digit of 37\/t - f\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 10*n + 9. Let v be d(-10). Let s = 30 - v. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(12348\/(-24264)) + 18*16\/(-168)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722527.\nAnswer: 13, 55579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-176 - 115 - 79)*(-11*r - 3 + 19 - 1 - 7) to a*r + z and give z.\nAnswer: -2960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39390.118 - -31.118. Let k = w - -39360.8987. Let j = 1.9 - k. Round j to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 16 + 4 = -35671*b + 35669*b, 4*v - 2*b = -12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016890712 rounded to 5 dps?\nAnswer: 0.01689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - 43024332211?\nAnswer: -43024332200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413513 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 5*t**2 - 5*t + 3. Let n be p(-6). Let z be (-57)\/(-133)*(-3)\/(-12)*4. Which is the closest to 6? (a) z (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:06 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/21 and -125\/2136?\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -98. What is the greatest common divisor of 49 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5\/6))**(21\/2)\/(s**(-3\/19)\/(s\/(s\/(s\/(s*s**(1\/21)))))) assuming s is positive.\nAnswer: s**(-13789\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(9\/(-3)) + 2. Solve 3*s = -2*q + q + j, s + 11 = 4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*o + 7, 6*b = 2*b + 4*o + 8. List the prime factors of (-293)\/(-6 + b) - -7.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-182)\/273 + (-6)\/(-117) - -9 - 9\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216560 take away -3.96?\nAnswer: 216563.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42240 and 13860.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -91 - 65*h**2 + 229\/18*h**3 + 1\/30*h**5 - 13\/12*h**4 + 150*h. Factor z(p).\nAnswer: (p - 10)**2*(p - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*c - 13. Let r = c + 7. Suppose r*b = b. Solve 3*y - 3*w = -0*y + 15, 4*w + 4 = b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 - 4014*i**2 - 83592*i - 357480 = 0?\nAnswer: -1986, -15, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Suppose 23 = i*q + 3*h, 3*h - 6 - 7 = -2*q. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-7)\/(-6))\/(110\/(-176))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13201124 is divided by 2420?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 - 3425?\nAnswer: -3465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412841 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 42*w + 5861 + 15897 = 0. Calculate the highest common factor of 86 and w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c. Suppose 4*i - 8 = -2*r, -4*r - 2 = 2*i - 0*i. Let l(a) = -i*a**2 - 13 + 13. Give t(l(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 13*t**2 - 16*t - 15. Let q be s(12). Let h = 114 + q. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 82646 and -6.\nAnswer: 82640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7. Suppose 5*a + 25 = n, -4*u - a + 2780 = 3*a. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 13466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7494*a + 43366. What is b(5)?\nAnswer: 5896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8180*u**3 - 2450*u**3 - 3114*u**3 + 2171*u**3.\nAnswer: -11573*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -371*u**4 + 18*u wrt u.\nAnswer: -4452*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 8315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5041533 - 34?\nAnswer: 5041466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29 - 3*f**2 + 0*f**2 - 30 to n + p*f**2 + b*f and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**2 + 13*p + 97. Let q be b(-5). Is (-1087)\/(114\/q + 6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -581*p**2 + 4*p - 131. Let s(x) = 1162*x**2 - 7*x + 267. Let j(b) = 7*f(b) + 4*s(b). What is the first derivative of j(o) wrt o?\nAnswer: 1162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15884 is divided by 11610.\nAnswer: 4274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*q - 2087878 = 89*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89521 divided by 65?\nAnswer: 89521\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2664 and 1803949578?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 37245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {k: 1, j: 2, g: 2, c: 3, t: 3, w: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -913*t + 23. Let k be g(-2). Suppose -363 + k = 5*h + x, 5*h = -4*x + 1489. Let r = -38 + 71. What is the highest common factor of h and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uvwwfvwwqwvqwuuwzwvz. What is prob of picking 1 u and 1 w?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2424781\/6 > -404131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67\/(-11) + -24 + -10 + 40.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2750 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2135073 and 832?\nAnswer: 2134241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 787957 (base 10) in base 3?\nAnswer: 1111000212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/22, -3, 1.4?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0345 in -5, 0.0348, -2?\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64\/5 - 16*h - 2\/5*h**4 - 84\/5*h**2 - 23\/5*h**3 = 0.\nAnswer: -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 4 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 3\/4, -1\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -5*y**5 - 13*y**4 + 2301*y**3 + 3697*y**2 + 464*y - 924 = 0.\nAnswer: -22, -1, 2\/5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 87?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 432154 - -1?\nAnswer: 432155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**3 - 5*g**3 + 9*g**3 + 4*g**2 - 1. What is i(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40547, 40550, 40553, 40556, 40559, 40562?\n\"Answer: 3*q + 40544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 0. Suppose -5*x - 2 + 17 = -5*y, 2*x + i*y = -18. Let q(a) = -3*a. What are the prime factors of q(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -a + 239, -25*a + 30*a + 450 = 2*v. Put v, -0.4, 1 in descending order.\nAnswer: v, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52.43 - -0.43. Let i = v + 52.4. What is the closest to 0 in -2, 2\/19, i?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = -2*t - 5*z, -z + 1 = 3*t. Suppose 5*g + 18 = -2*n, -3*n = -4*g - 5*n - 16. Put -5, g, t in descending order.\nAnswer: t, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293778, -587556, -881334, -1175112, -1468890?\nAnswer: -1762668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 434.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1211791730 to the nearest one million.\nAnswer: -1212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18037.\nAnswer: 17, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 4*o - 13, -69*x - 8 = -71*x - 3*o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 2*l + 13 = 3*y, -5*y = l + 9. Let c = -815 + 811. Let u(v) = 4 - 2 + 0 - 1. Let d(t) = -2*t - 4. Determine c*u(s) + y*d(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9540, 4, 3 in descending order.\nAnswer: 9540, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 12 - 3)*(7 + 5 - 6)*(2*g**5 + 3*g**5 - 3*g**5).\nAnswer: 84*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**3 + 2*v**2 + v + 4. Let c(n) = -n**2 - 13*n - 33. Let p be c(-4). Is o(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, u: 2, d: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -634 - 1130 = -84*p for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.49 * -0.1.\nAnswer: 0.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0\/(((b*b**(-4)\/b*b*b)\/b)\/b*b))**11)**29)**(-25) assuming b is positive.\nAnswer: b**(-23925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246792 and 432?\nAnswer: 4442256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 9\/4 (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 124\/7 at least -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-2) - -19246)*36\/(-7). What is w rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*s**2 + 166*s**2 + 13*s**2)*(0*s - s - 3*s) + 1 + 3*s**3 - 1.\nAnswer: -613*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-145 + 36 - 34 - 137)*(-s**2 + 3*s**2 + s**2) as m*s**2 + g*s + b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/6)\/((-1806)\/3096)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 d when two letters picked without replacement from {l: 1, x: 1, b: 1, d: 4, j: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 3*d - 4. Let r be (-11)\/(-22)*-1*1*-6. What is c(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/243656 and -73\/8?\nAnswer: 243656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15, -269, -5, 13\/2, -1\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.756, 1\/2, 1, 5, -1\/8 in ascending order.\nAnswer: -3.756, -1\/8, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 12 and 53 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppuppqqpqppqqpqqp. What is prob of sequence uq?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**3 + 119*h**2 - 544*h + 36240. Give p(60).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 3133.015 nanograms?\nAnswer: 0.000000000003133015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d - 2*d + 6*d - 2*d**2 + (-8*d - 7*d + 5*d)*(4*d + 1 - 1).\nAnswer: -42*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 0.4, 0.1, -1\/21 in ascending order.\nAnswer: -1, -1\/21, 0.1, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 12 + 6. Calculate the greatest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1807348 + 1807348 + m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-7)\/l)\/l)**49)**(2\/49))**(-39) assuming l is positive.\nAnswer: l**702","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-4) + (-2 - -2). Let r be (-110)\/(-5) + (a - 1). Solve 5*d + 25 = -2*c, 2*c = 4*d - 0*c + r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 900 and 656010?\nAnswer: 6560100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16765 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 104 - -3?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -6. Let m = 1 - 1.2. Let y = 2 - 1.6. Which is the second biggest value? (a) m (b) y (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/55773 - -13218215\/390411. Is 35 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03376 + 4.68624. Which is the fourth biggest value? (a) -5 (b) t (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002988946 to five decimal places.\nAnswer: -0.00299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 34008 + 6670 = 13962. List the prime factors of n.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7 + 1815*b**5 + 53*b - 7 - 183*b**5 + 7 wrt b?\nAnswer: 32640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from bjjbybbsbybbbsbj.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0, 0.5, -0.1, -607\/3, -2 in increasing order.\nAnswer: -607\/3, -2, -0.4, -0.1, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**4 - 212*x**3 - 2820*x**2 + 90612*x - 458784 = 0. Calculate x.\nAnswer: -24, 9, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 65*k = -123*k - 67*k + 9982 for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*c + 17, -7 = -p - c + 2. Suppose 5*y - 4*o - 18 = 16, 0 = p*y - 3*o - 33. Solve -3*q = 5*n - 13, y*q + 10 = -2*n + q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2114, -4118, -6122?\nAnswer: -8126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + i - i - 54 + 2*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f - 86. Let y be u(14). Let m(c) = 90*c**2 + 6. Let r(j) = -j**2 - 1. Let b(t) = m(t) + 8*r(t). Is b(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -23 - 45*y - 28 + 0*y + 45. Let z(g) = 1664*g + 221. What is 221*q(d) + 6*z(d)?\nAnswer: 39*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -195775000 divided by -62648\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*x = -105. Let c = -5 - x. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 + -26 - ((2 - 15) + 3)) + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06 and -34756.\nAnswer: -34755.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 82\/3 (b) 0.09 (c) 0.3 (d) 3\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79006961 is divided by 1678?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10649*g**2 + 4*g. Let y(o) = -424*o. What is y(p(a))?\nAnswer: 4515176*a**2 - 1696*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w - 1. Let g be n(-1). Suppose y - 3*j - 2*j - g = 0, -2*y = -3*j - 2. Is y at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120041 + -243?\nAnswer: -120334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 466 (base 11) to base 2.\nAnswer: 1000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*g**4 + g**2*j + 86*g**2 + 55*g - 115433*j + 2 with respect to g.\nAnswer: -16*g**3 + 2*g*j + 172*g + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 32 = 28*k. Let x be 12219\/12 + (-6)\/k. Suppose x + 226 = 5*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-30)*(-135)\/216?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7429.174 minutes in seconds?\nAnswer: 445750.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -26.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) 4813752 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2855 + 2876. Calculate the remainder when 203 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1573) + sqrt(1573)*-2)*1*-3)**2 + -5 + ((-1 + sqrt(1573) + 2)*-6)**2.\nAnswer: 792*sqrt(13) + 70811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7786 (base 10) to base 5\nAnswer: 222121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*t**3 + 87*t**3 - 72*t**3.\nAnswer: 115*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1259173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12588840 and 11016?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 192*d + 318 = 193*d, 4*l + d - 1278 = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*w + 6 - 4, 2*w = 4*n - 12. Let g(x) = -2*x**3 + 2*x**2 - 2. Determine g(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 235?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2221 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327 = 19*k - 308 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 375762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3438, 6802, 10104, 13350, 16546, 19698?\n\"Answer: x**3 - 37*x**2 + 3468*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*r - 32, 5*r = -0*r + 15. Let k = 6 + z. Does k = -4\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-2 + 2 - j**2) - 16 - 391*j + 391*j + 2*j**2 + (0*j**2 + 4*j**2 - 3*j**2)*(1 + 14 + 26).\nAnswer: 44*j**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/3, 6, -4\/53, 1\/4, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -5 (c) -0.06 (d) -6 (e) 0.1 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3945419?\nAnswer: 61, 64679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 204 = 2*j, 2*b + 3*b - 345 = -3*j. What is the greatest common divisor of j and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4227, -8397, -12473, -16407, -20151?\nAnswer: -23657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 3 (c) 2\/11 (d) 4 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -29*y - 113. Let l be v(-4). Suppose -5*t = -2*g - 23, g = l*g - 2. Let r be -2 - 4\/((-4)\/3). Put 3, -4, t, r in decreasing order.\nAnswer: t, 3, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6, 15, 38, 81, 150, 251, 390?\n\"Answer: z**3 + z**2 - z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 3:11 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 9:45 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 534\/485?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 8*i**2. Let n(p) = 1413*p. Calculate l(n(v)).\nAnswer: 15972552*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 1\/2, -1\/3, 2.1, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77856*r**2 - 318*r - 17 wrt r.\nAnswer: 155712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + 0*1\/(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooqoxumooouuouootooo. What is prob of sequence uuu?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 6*g - 4. Let o be j(-3). Suppose 2*p - o*k = 23, 4*p - p + 5*k = 72. Solve 4*m - 7*m - 6 = 0, 3*t - p = 2*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/665 (b) 8 (c) 2\/3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88135243?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = 5*l - 14*i - 476, 3*l - i = 284. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = -4*b - 177. Let y = 947\/9 + b. Is y at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/25110 and 59\/378.\nAnswer: 175770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*a = 143*a. Solve a = -28*f + 16*f - 12 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -g**4\/4 - g**3\/3 - g**2\/2 - g - 4. Is 11 a factor of h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 1897?\nAnswer: -1898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.5 - -67. What is x rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33716625 or 33716622?\nAnswer: 33716622","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.14 - 0.41. Let z = 15 - 14.87. Let p = b - z. What is the second biggest value in 5\/3, -1\/3, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85883240, 85883241, 85883242, 85883243?\nAnswer: 85883244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-62.4.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -100000 (base 2) in base 4?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2*(-3)\/(-6)). Which is the second biggest value? (a) 1 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 59\/5 of a century?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffduuudfuf. What is prob of sequence fd?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/9 + 20*y**2\/3 - 484*y\/9 + 140\/3.\nAnswer: 4*(y - 5)*(y - 1)*(y + 21)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Let s = 1 + k. Factor -10*d**2 + 5*d**4 + 0 + 2 + 6*d - 2*d**5 + s*d - 5.\nAnswer: -(d - 1)**4*(2*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-941 + 941 - 76*j)*(-j - 62*j**3 + 166*j**3 - j**3) to o*j**4 + p*j + b*j**2 + v + m*j**3 and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -131*i + 115*i - 2804*i**2 + 16*i to h*i**2 + s + o*i and give h.\nAnswer: -2804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2159872977.\nAnswer: 3, 719957659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 = 3*v + 218. What is the remainder when 298 is divided by v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3 + 3. Suppose 3*r - 3*k + 6 = 0, -22 = g*r - 6*r - 4*k. Suppose -4*q + r = -2. Is q smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 17\/(221\/234).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23575 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 148?\nAnswer: -44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -202 + 209 - (2 + -4)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3316904 at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus 768129745.54913?\nAnswer: 768129738.54913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 535*a*m**3 + 26*a*m**2 + 19*m wrt m.\nAnswer: 3210*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/1860)\/(2*60\/72).\nAnswer: 1\/124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1062)\/4 + (-5)\/2. Let j = a - -278. What is the highest common divisor of 190 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -249.3 - -248.8. Sort t, 2\/11, 131, -2 in descending order.\nAnswer: 131, 2\/11, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzzb when four letters picked without replacement from {u: 3, z: 5, b: 4}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqaqaqqaqqzqaz. Give prob of sequence gz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*u + 2843 - 454*u + 201*u.\nAnswer: -u + 2843","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 - 272 = -19*b. Solve 10 + b = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 16*y**2 - 77*y + 113. Give x(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b21d8 (base 14) to base 5.\nAnswer: -1130022441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1848 and -123\/616.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -238030.8 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27411 = 5*h - 979. Suppose 18*o - h = o. Suppose 0*l + 5*w = 3*l - 505, 2*w + o = 2*l. What is the greatest common factor of 33 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 140 = 2. Is 23 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n**4 - 767711*n**3 + 3981893877*n**2 + 4197942875*n + 215281250 = 0. Calculate n.\nAnswer: -1, -2\/37, 10375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {p: 1, a: 2, f: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2735*u**4\/4 - 3098*u**3\/3 + 2690. Find the third derivative of p(g) wrt g.\nAnswer: -16410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42ddc + 6b?\nAnswer: 43069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8229681 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -5. Suppose 0 = -5*k + 397 + 313. Calculate the common denominator of 3 - k\/d - 4 and 35\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 11:18 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7001 in -3, -0.2, 87\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than or equal to -1092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.042 (b) 1 (c) 0.17 (d) -5\/6 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50, 84, 92, 62, -18?\n\"Answer: -2*f**3 - f**2 + 51*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 21 + 0 - (5 - 0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 836 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (21 - 15) + -22 + -3\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 5, 1, 55163, 2, 0.06, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*z - 8 - 23, -5*k - 36 = z. Let b = k + 11. Suppose -5*q + 34 - b = 0. Is 6 not equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.485263l in millilitres?\nAnswer: 9485.263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10530 - 9519. Solve 1013*z = x*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1402 and 72904?\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-12))\/((-5)\/3) + 17\/(-85). Let m(j) be the second derivative of i - 1\/15*j**4 + 2\/15*j**3 + 11*j + 2\/5*j**2 - 1\/25*j**5. Factor m(r).\nAnswer: -4*(r - 1)*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)\/v**4*v*v**(-15)*v*v*v**(1\/6)\/v*v)**7 assuming v is positive.\nAnswer: v**(-637\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 v when four letters picked without replacement from {v: 4, b: 1, f: 1, m: 5, a: 3}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 8*z - 18. Let n be u(2). Let o be n\/(-4) + (-8)\/(-8). What is the nearest to 1 in 2\/5, -0.7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 423522d - 2?\nAnswer: 423522b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*p - 6480, 2*o - 4*o - 3*p + 3244 = 0. What is the greatest common factor of o and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-40)*-23 + (-18)\/48?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -66*r + 726 + 3\/2*r**2.\nAnswer: 3*(r - 22)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.05 * 0.39731.\nAnswer: 12.7337855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 773*l**6\/6 + 97*l**2 - l + 143. Find the second derivative of o(p) wrt p.\nAnswer: 15460*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7301302601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 34. Suppose -12 = -n - q - 3, 2*q - 32 = -r*n. Calculate the highest common factor of n and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.868562 centuries?\nAnswer: 10642.2744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*l**6 + 3*l**4 - 482*l**2 + l.\nAnswer: 1200*l**3 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(8)*2 + 4)**2.\nAnswer: 64*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -46287, -185179, -416687, -740811, -1157551, -1666907, -2268879?\n\"Answer: -46308*k**2 + 32*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81829299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 723538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 5*r**2 - 6*r + 7. Let q = -49 - -54. Let c be o(q). Is -24 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -41*u**2 - 20*u + 12. Let f(p) = -5*p**2 - p + 1. Calculate -9*f(n) + w(n).\nAnswer: 4*n**2 - 11*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5083 - -5119. What is the lowest common multiple of u and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 4 - -7 - (5 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u + 20. Give r(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/580 and -133\/12.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*c + 33 = 0, -5*q + 5*c = 42 + 23. Does 6 divide (-8)\/q + (-176)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2. Let h(n) = -579*n - 54 + 152 - 98. Calculate h(r(q)).\nAnswer: -1158*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vef when three letters picked without replacement from {c: 2, f: 1, v: 3, x: 10, e: 2, w: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -5 (b) -0.3 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*b - 24*b**3 + 28*b**3 - 7*b.\nAnswer: 4*b*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12516998.\nAnswer: 2, 13, 17, 28319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -878985738 to the nearest 1000000.\nAnswer: -879000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -144, -228, -312?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 118*q**2 - 97*q + 459. Let s be t(5). What is the greatest common factor of 516 and s?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**3\/6 - f**2\/4 + 35. Find u, given that j(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(32))\/sqrt(4)*2*4)\/((sqrt(192)\/sqrt(4)*-3)\/(5*sqrt(24)\/sqrt(2))).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*x + 31 - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 206566 a multiple of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7286491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 16 = -20. Let w = 1 + x. Suppose -3*i = -w*i + 422. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*s - 128*s - 24868 = -c, 3*s - 37293 = -3*c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 105258960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0*u - 17*u**2 + 0 - 1\/20*u**6 + 0*u**4 - 3\/20*u**5 + 0*u**3. What is the third derivative of y(q) wrt q?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282943833?\nAnswer: 3, 94314611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -229 + 85. What is the remainder when 93 is divided by u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 10*q + 27. Let m be n(6). Let x be ((-183)\/(-5))\/m - (-17)\/(-85). List the prime factors of 5\/2*13\/(130\/x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 1 - 4. Let d be (-10)\/f*(-6)\/(-5). Let a = 1 + 2. Which is greater: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**3 + 762*t**2 - 9*t + 23. Let n(i) = 2*i**3 + 383*i**2 - 4*i + 10. Give -4*b(u) + 9*n(u).\nAnswer: 2*u**3 + 399*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -114 - -116. Suppose -3 = 3*r, i*r + 0*r = -m + 22. What is the highest common divisor of 408 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*b**2 - 201*b + 183*b - 199*b**2 to the form t + c*b + l*b**2 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -183*u**2 + 6*u + 92*u**2 + 92*u**2 - 4. Determine l(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(117) + 0 + sqrt(13) + -1.\nAnswer: -6 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7672967 is divided by 648.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3585 a factor of 79547726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -28*n - 38. Is q(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2\/13, 0.2, 5, -18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.029 - 0.077. Let f = -0.059 - p. Let j = 3.047 - f. Sort j, -4\/3, 0.5 in descending order.\nAnswer: j, 0.5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52638 = 251683*w - 252532*w for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.9799159 to the nearest integer.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - h + 2*h**3 + 4*h**3 - 4*h**3 - 2*h**3 - h**3 + 2*h**3 + h**3 + (69 - 69 + 97*h)*(4*h**2 + h**2 - 6*h**2) + 2*h**3 - 5*h**3 - 2*h**3.\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4\/2 + 48*a**3 - 57*a**2 - 252*a - 297\/2 = 0. What is a?\nAnswer: -33, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 5.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is aa + -5?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n + 5*t, 5*n + 5 = -7*t + 2*t. Let q = 2 + n. Which is the nearest to q? (a) 3\/5 (b) -0.4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4323 + -255050\/59. Find the common denominator of -109\/10 and m.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 + 160. Let o be (4 + -3)*(-2 + h - 6). Sort 7, 5, 2, o in descending order.\nAnswer: 7, 5, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5520 or 756376\/137?\nAnswer: 756376\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15552\/3402)\/(16\/(-28)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17346.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8336 - 4*f - 4178 - 4163. Suppose 0 = h - 3 - 5. Let v(c) = h*c - c - 1 + 10. Determine -5*b(x) - 3*v(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11282 + 11278. What is the fifth smallest value in 3, 124, q, -8, 0.4?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 2 + 3 + -3. Suppose u + 0 = -j. Let l be 4\/12 + 76\/(-48). Is j less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 269283 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: Convert 2 (base 8) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 63 and 4.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 360 = 2*q, -265 = -2*c - 4*q - 95. Let y = c + -34. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -308\/5, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 8}. What is prob of picking 2 q?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 473660 by -118415.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 5*m + 9*m - 6*m - 3*m to c*m + r and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + -1)*4 - (2 + sqrt(833) + 2)) + 2 + sqrt(425) + (sqrt(1088) - -4*sqrt(1088)).\nAnswer: -6 + 66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2878 - -4641. Let x(l) = -2*l**2 + 2*l**2 - l**2 + 1772*l - 10 - p*l. Calculate x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28 + -29 + 8\/(-12) + (-132468)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2584*q**2 - 190*q + 190. Let k(u) = -357*u - 21*u**2 + 62*u**2 + 181*u - 4 + 1 + 179*u. Determine -190*k(h) - 3*l(h).\nAnswer: -38*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = v + 5, 4*v - z - 13 = -v. Let s(g) = 228*g + 5. Is s(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1736 (base 11) in base 8?\nAnswer: -4251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eetthfhthlhefqh. Give prob of sequence heqh.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 10. Let f be n(-6). Which is the nearest to -1? (a) 0.1 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 7) to base 6\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104957448 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 310\/186*(-12)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((84\/9)\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {c: 2, f: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r + 58 - 1\/2*r**2. What is s(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 76, 1\/44, 0.2?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18292 + -18293. Let o(r) = -17*r**3 - r**2 - r - 1. Determine o(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a factor of 763257201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5109.\nAnswer: 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(2)) + 4*sqrt(242) + sqrt(242) + 1 + (sqrt(98) + 1)*-3)**2.\nAnswer: -512*sqrt(2) + 2112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15894 by -1766.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -23*g**2. Let b(n) = 4*n. Calculate b(j(s)).\nAnswer: -92*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 3 (c) -0.3 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 2*t**2 + 3*t. What is d(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (37 + 13 - 25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1524 divided by 262723\nAnswer: -1524\/262723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 688?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-23))*w*w)\/((w\/(w**(-44)\/w))\/w)*(w*w**(-19)\/w)**(-40))**39 assuming w is positive.\nAnswer: w**28860","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/21 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -685 - o + 685 - 3769*o**2. Let c be r(1). Round c to the nearest one hundred.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 56*x**2 + 23*x - 308. Does 52 divide i(56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 18*m**2 + 10*m + 165. Is u(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 43?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/(85\/(-68)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -28, -39, -50?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 (base 9) in base 4?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 514 - 52 = 0. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60025 + -14 + -7 + 27 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((80\/42)\/20)\/(34*111\/88060).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*a + 3*a + 19)*(-4*a + 0*a + 2*a).\nAnswer: -2*a**2 - 32*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2946 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*c + 4*r, -2*c = 2*r + r - 22. Let y be (2 + c\/2)*-2. Let v(o) = 4*o**2 - 10*o - 7. Is v(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -36, 2, 9, 4 in decreasing order.\nAnswer: 9, 4, 2, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73566902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -5*p + 131. Let a = 110 - p. Is a a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0409 times 0.3?\nAnswer: -0.31227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*q + 167*q - 38*q)*(4 - 2 + 0)*(q**3 - 5*q**3 + 3*q**3) as k*q**4 + u + m*q**2 + t*q + n*q**3 and give k.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 16. Let c = 0.135 - 0.435. Sort 9\/7, u, c in descending order.\nAnswer: u, 9\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 v when four letters picked without replacement from {k: 1, v: 5, m: 1, g: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 122, 147, -30, -511, -1398, -2793?\n\"Answer: -17*q**3 + q**2 + 141*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 0*r + 65. What is the remainder when 49 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 271 + 35 = 0. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from jrwxx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 15*j - 3. Let a be g(-10). Suppose -f = -3*c - 3*f - 73, 5*c + 5*f = -120. Let p = a + c. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869?\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 174\/117 + 2\/(-13). Let d = 0.06 - 0.08. Which is the closest to d? (a) -2 (b) 0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a**2 + a + 3. Let i(h) = 9*h**2 - 2*h - 7. Let u(v) = v**2 + 4*v. Let y be u(-3). Let k(q) = y*i(q) - 7*o(q). What is l in k(l) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 180?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -798, -3128, -7020, -12480, -19514, -28128, -38328, -50120?\nAnswer: -63510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -508 times -1?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + -58 + 106 - (0 + 1 - -22).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = 3*p + 13*k - 9, 2*p = 2*k + 18 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 12:54 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + -3 + 6*-3*3*(sqrt(847) + 1)*-2)**2.\nAnswer: 251856*sqrt(7) + 9890644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(3 - 5 + 3)*(-2652*p + 815*p - 10387*p).\nAnswer: 24448*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 12012220121202?\nAnswer: -12012220121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 146727 = -z - 146736, 0 = 5*z - s + 27 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2244, -9016, -20350, -36282, -56848, -82084, -112026, -146710?\nAnswer: -186172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2147 - -2537. What is the smallest common multiple of q and 156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*t = 19, 5*h - 2*h - 17 = -5*t. Let q = -23 - -11. Let k = 14 + q. Solve 0 = -3*o + 3*u, k*o + h = -5*u + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 614 = 2*h - 616, 2*h - 2 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-22)\/4)\/(-1)*-4. Let f be (-77)\/u - 1\/2. Solve 4*k + f = -i + 2, -3*k = 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -465*g**2 + 294*g**6 - 2*g**3 + 285*g**6 - 166*g**6 + 65*g**6 wrt g?\nAnswer: 57360*g**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*s - 7*s + 13, n + s + 1 = 0. Suppose 29546 + 12631 = 3*l. Let z(v) = -14059 + l + v. Determine z(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1294.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 4 = -62. Let w be (0\/(-1))\/(z\/(-9)*-3). Suppose -2*h - h + 897 = w. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 89238120 and 17520?\nAnswer: 178476240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from roonnooroonoooooo. Give prob of sequence rorr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/13 + 2534*v\/13 - 28116\/13 = 0 for v.\nAnswer: -1278, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1655 - 1667. Let h(x) = -26*x**3 + 12*x**2. Let r(w) = w**3 - w**2. What is k*r(j) - h(j)?\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -14)*(-1)\/(-3)*-3. Let s = -1 - -6. Let m = o - s. Calculate the greatest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h = 62*h - 9860. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 62550828 and 4?\nAnswer: 62550824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 67 - 59 - (0 - 13)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(9)\/sqrt(3)*-5))\/(sqrt(36)\/(-4*2*sqrt(12))).\nAnswer: 8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 5*l**7\/21 - 7*l**6\/30 + 179*l**4\/3 + 192*l + 2. Find the third derivative of k(s) wrt s.\nAnswer: 600*s**2 - 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -4. Let r(u) = -u**2 - 2*u + 12. Let l be r(-5). Put l, -2, q in decreasing order.\nAnswer: -2, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 - -88. Let c be (-3)\/(6\/4) - n. Suppose 9*r + 120 = 15*r. Calculate the greatest common divisor of c and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -29763\nAnswer: -1\/9921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 at most as big as -312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2944 and 1095168?\nAnswer: 1095168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28785952, 28785949, 28785946?\nAnswer: 28785943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -230, -227, -224, -221?\n\"Answer: 3*k - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 31 = -0*d. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/21 - 22*q**2\/21 + 20*q\/21.\nAnswer: 2*q*(q - 10)*(q - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-80)*1*2*1524\/254.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 4:03 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**3 - 16015*r**2 + 144459*r + 36. Give s(9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -2 + 0 + (0 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -34160863, -34160870, -34160877, -34160884, -34160891?\n\"Answer: -7*v - 34160856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274709, -549394, -824079, -1098764?\nAnswer: -1373449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -308397 and -308400 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3030710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-384)\/(-27) + 28\/(-126). Suppose 2*h - q - 4 = 0, 4*h - i - 18 = -4*q. Solve -h = 2*s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0081 - -2.0081. Let v = -38 + 38.17. Put v, u, -3\/2 in ascending order.\nAnswer: -3\/2, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123438 is divided by 61682.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -13*b**2 - 3622*b - 25367. What is x(-7)?\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 5. Let q be 3\/(-6)*-6 + -3. Let d be l(q). Solve d*f + 3 = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3440 divide 92794000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 1, -4, 321 in ascending order.\nAnswer: -4, 1, 32, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52344 is divided by 123?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -13. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - 1848\/(-140))\/(18\/(-635)) + (-2)\/9?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 211022220?\nAnswer: -211022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 2084064*y**2 - 68778468*y.\nAnswer: 4*y*(y - 33)*(y + 521049)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 819*j*p**3 - 2*j*p - 2*j + 2*p**2 + 114971 wrt p?\nAnswer: 2457*j*p**2 - 2*j + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 240\/31 (b) 9 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41679508?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -240, -485, -732, -981, -1232, -1485?\nAnswer: -1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {q: 1, i: 1, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300491?\nAnswer: 300491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -4\/7, -0.727, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65808 by -4.\nAnswer: 16452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 669 + -16728\/25. Let g = -0.085021 - -0.185021. Which is smaller: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -13 - 32) + 6 + 0 + -2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 smaller than 391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11*c - 7. Let o(b) = b**3 + 6*b**2 - 7*b + 6. Let v be o(-7). Let u = v - -1. Let d(r) = 12*r - 8. Let f(w) = u*k(w) - 6*d(w). Determine f(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 322.3 - 322. What is the closest to 2 in 0.4, -3\/5, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aydns. What is prob of picking 2 y and 1 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4 - 73484*f**3 = 0. Calculate f.\nAnswer: -73484, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 278.\nAnswer: 194.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1312905, 1312904, 1312903, 1312902, 1312901, 1312900?\nAnswer: 1312899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -12\/13 (b) -2\/3 (c) -2\/121 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6 and -0.598.\nAnswer: -6.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*q**3 - 79*q**3 - 89*q**3.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/6530150 and -43\/13475.\nAnswer: 319977350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1)\/(-2 + 0). Let v be (-2 - -1) + 3 - r. Suppose 5*l + 5*g - 9 = 16, -v*g = -4*l + 20. Solve n - 6*n + l = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12897.\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*b + 80. Find the third derivative of 19*l**2 + 32*l + 11*l**b - 32*l wrt l.\nAnswer: 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13922329, 13922334, 13922349, 13922380, 13922433?\nAnswer: 13922514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 326585, 328015, 330401, 333743, 338041, 343295, 349505?\nAnswer: 356671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20671 is divided by 4133.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (151425\/100 + -6)*24.\nAnswer: 2, 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 5\/16 (c) 0.11018\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6918*p**3*y + 210510558*p**3 + 33*p**2*y + 5*p*y wrt y.\nAnswer: 6918*p**3 + 33*p**2 + 5*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -19 + (62 - 23).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/42069?\nAnswer: 2\/42069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + f + 1, -l + 6*f = 10*f - 14. Put -2, 18, -4, l in decreasing order.\nAnswer: 18, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -75, -34, -1\/10, -0.5 in descending order.\nAnswer: 1, -1\/10, -0.5, -34, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6458 - 6455. Let w = 4 - 0. Solve -w*g + 1 + k = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*n - 104*n - 12036 - 12346 = 0 for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 4*o**2 - 8*o + 30. Let z be v(4). Let i(g) = -6*g - 13. Let a be i(z). Is a greater than -7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*t - 379, t + 113 = -4*a + 28. Calculate the remainder when 75 is divided by 2\/(-8) + t\/(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/7)\/u)**(-36))**(-2\/41) assuming u is positive.\nAnswer: u**(144\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 1\/10*h**5 + 0*h**3 + 1\/80*h**6 + 3\/16*h**4 - 8*h**2 + 0*h + 0. Factor v(u).\nAnswer: 3*u*(u + 1)*(u + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8024 divided by 59.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-114)\/(-10) - 3\/(-5) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546531 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o**2 + 3*o + 2. Let c be i(-1). Suppose -5*v - 3*v = -c*v. Solve -3*b + 8*b + 20 = v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -13*f**2 - 88*f + 221. Calculate q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 304 - 174. What are the prime factors of u\/8 + (-3)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.904 + 0.904. Which is the closest to 0? (a) v (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-756)\/44 - (-106)\/583)*-2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 35*n**2 + 9*n - 5. Let b(v) = 52*v**2 + 14*v - 8. Let l(k) = 5*b(k) - 8*d(k). Let c(z) = z**2. Give c(l(p)).\nAnswer: 400*p**4 + 80*p**3 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/5 - 453*i\/5 - 8016\/5 = 0. What is i?\nAnswer: -16, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l + 8. Let k(n) = -5*n - 17. Let b(a) = 6*k(a) + 14*q(a). Let c be b(11). Let f be (-6)\/(((-1)\/c)\/((-48)\/54)). Round f to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 32 + (-19 - (-5 + -3))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tptpttppptppp. Give prob of sequence tptp.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8484*k - 44035 = -528*k + 301739 + 36114 for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -89, -90, -91, -92, -93, -94?\n\"Answer: -j - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 9:15 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -7. Let l be (-1)\/2*24\/(-42). Which is the closest to q? (a) l (b) -0.5 (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19707.91 - -19584. Let q = v + 123. Let u = q - -0.51. Which is the closest to 0.2? (a) -0.3 (b) -7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 113558.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7124.6198 to the nearest 100.\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.7, -0.01, -2\/9, -50, 0.02, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/5*((-34125)\/(-70))\/65?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 292 - 196. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 3*y + 5*o - 82, -4*y + 2*o - 148 = 0. Let x be -33*(-3)\/y + 3*1. Which is the biggest value? (a) 1 (b) x (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 47. Suppose 0 = x + 3*a + 15, 3*x + 3*a + 20 = -a. Calculate the remainder when b(x) is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a + 137. Let k be i(20). Find the second derivative of v**4 - 3*v + 18*v**5 - 60*v**5 + 28*v**5 + k*v**5 - 4 wrt v.\nAnswer: 60*v**3 + 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 3*a - 4. Let v be 30\/(-4)*4\/(-6). Suppose 9 = -v*r + 2*r. Let c be -1 + r*(1 - 0). Calculate d(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/(2*(-6)\/(-16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 120637798 and 0.382?\nAnswer: 120637797.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5944805 and 785.\nAnswer: 5944805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118108529?\nAnswer: 7, 11, 1533877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*b*v*y + 4*b*y**3 + 18*v*y**3 + 2*y**3 wrt b.\nAnswer: 6*v*y + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71.8*-0.049.\nAnswer: 3.5182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 4, -110, -1, -2, -4 in decreasing order.\nAnswer: 4, -1, -2, -4, -10, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = -22*j - 23*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2292191 by -2101.\nAnswer: -1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56392 = -396*b - 59956 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*v - 51*v + 252 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*n - 422*n + 381*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 24 = -2*o - 2*s, -3*o + 3*s = -15. Let t(b) = -b**2 + 8*b - 1. Let m be t(o). Suppose -4*v + 7 = 3*i - 10, 4*i - m = -2*v. Is -1 equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -192 - 2?\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + -18 + 7)\/(-1). Let i(z) = -12*z**3 + z**2 - 4. Let r(m) = -12*m**3 - 3. Determine s*r(g) - 2*i(g).\nAnswer: -12*g**3 - 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205 by -3.\nAnswer: 205\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = 3*m + 9, 2*t - 4*m + 10 + 4 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.72 + 2.72. Let g be 2\/3 + (-38)\/(-6). Let w(d) = d**2 - 6*d - 7. Let m be w(g). Which is the second biggest value? (a) z (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + -2.45. Let c = 0.5 + u. Suppose -4*l = -i - 15 - 4, -4*l + 1 = 5*i. Put i, c, -0.2 in increasing order.\nAnswer: i, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15272363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*6\/(-90)*(-10050)\/134.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100929303*z**2 + 52947926*z?\nAnswer: -201858606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 + 1599*z**2 - 16407*z - 63531.\nAnswer: 3*(z - 13)*(z + 3)*(z + 543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 3*u + 6 = 0, 7*k = 9*k + 5*u + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by ((-16120)\/910)\/((6\/7)\/(-3)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*g = 21*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3849 is divided by 272.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**4)**4*(h**(2\/43)*h)\/h**(-15))**(1\/38))**(10\/3) assuming h is positive.\nAnswer: h**(7750\/2451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/10*(-2)\/(-3). Suppose 2*b + 4*f - 90 = -0*b, 0 = b - f - 54. Suppose 47 = -2*y + b. Is u >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -349 + 386. Calculate the remainder when 82 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 23469757*j**3 - 125*j**4 - 14880*j**2 + 11998*j - 23465307*j**3 + 3522*j - 5120 = 0. What is j?\nAnswer: 4\/5, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2624 and 20418?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 6. Let c(i) = -2*i**2 + 15*i - 39. Let l be c(4). Give x(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115.9 + -116. Which is the closest to h? (a) 1\/2 (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12b94 - -18?\nAnswer: 12bac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 86, -7 in increasing order.\nAnswer: -7, -2, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 8.0327.\nAnswer: 8.4327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7592, -7597, -7604, -7613, -7624, -7637?\n\"Answer: -w**2 - 2*w - 7589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2526*m**3 - 1166*m**3 - 1355*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eexxeleexleexleleex. Give prob of picking 1 x and 1 e.\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6538941*v**3 + 2551093*v + 4 wrt v?\nAnswer: 39233646*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 4 (c) -46 (d) -92\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/442503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, -0.5, -2, 1, -0.9 in decreasing order.\nAnswer: 138, 1, -0.5, -0.9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/6 + (-33208)\/(-48).\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101 - 100110100110011?\nAnswer: -100110101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 14*j**2 - 13*j - 5. What is o(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202 by -1.\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 1. Let s be n(3). Suppose r = 5*r + 5*u - s, -3*u - 15 = -3*r. Solve h - r = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 17. Let n be b(-10). Let r be -55*(-1 + n)*2\/(-5). Is 43 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 10*s + 11. Let h be b(11). Suppose a = 2*u + 6, h*u + 3 = -u. Suppose 0 = -2*t + 8, -y = -a*y - 3*t - 28. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 634 + -634. Solve i = 3*w - 0*o - 4*o - 7, -5*w + 2*o + 7 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*v = -2*w + 52, -2*w - 3*v + 84 = 0. Suppose 0 = 2*z - 0*z - w. What is the remainder when 30 is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3 + 5\/15. Which is the third smallest value? (a) 0.1 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((138\/36)\/23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.030834 rounded to 3 dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2. Let a(v) = -4*v - 5. Let p = 36 - 31. Let g(t) = -t - 1. Let n(d) = p*g(d) - a(d). Calculate m(n(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-2 - -17)) + 25 + 7 + -37\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*q - 448. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22*16\/1408 + 14\/(-24))*-32421. What is the greatest common factor of z and 303?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*g - 67 = -w, -187*g + 2 = 3*w - 192*g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1320 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 4*d + 3. Let u be i(-4). Let y = 15 - u. What is the remainder when 22 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53453 (base 8) to base 6\nAnswer: -251151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o + 5*v + 23, 5*o + 3*v = -5. Solve -3*m = 4*u - 32, -4*m = -3*u - o + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhuhqxqhbuqbbh. Give prob of picking 1 q and 1 h.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272413509 - -490.2.\nAnswer: -272413018.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/10)\/(3\/105). Suppose 22*r - 320 = 2*r. Calculate the greatest common factor of x and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 27 - 2 = 0. Suppose -84 = -p + 3*p. Let l = v - p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = 3*z, -2*z = 2*z + 3*m - 7. Suppose 5*q = 2*q + 27. What is the smallest common multiple of z and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -35*q - 244. Let m be g(-8). What is the greatest common divisor of m and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55 times 667.89?\nAnswer: -367.3395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**2\/13 - 110*a\/13 - 62212\/13 = 0. Calculate a.\nAnswer: -151, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86 - 68.7. Let p = c - 15. Let b = p - 0.3. What is the biggest value in b, 3, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 407890800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z*z\/(z\/z**7))\/z))\/z*(z*(z\/(z\/(z*z**(-8))))\/z)\/z)\/((z*z*z*z*z**(-1\/4)*z)\/z*z)**(21\/8))**3 assuming z is positive.\nAnswer: z**(-2637\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.011 - 1.011. Let n be 2\/5*-2 - (-7)\/(245\/5453). Which is bigger: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72 + 68)*(-3)\/(36\/66)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90181 + -56582. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 19. Let o be (1\/3)\/(3\/135). Let v be 43\/3 + (-5)\/o. Solve 1 - 4 = 3*x - n*z, -4*x - v = z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mspvcusvmuvcmppvpmuc. What is prob of sequence pvs?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.3, -3, -18, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.07818 + 0.038856. Round x to 4 dps.\nAnswer: -0.0393","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-106)\/3816)\/(-4*3\/36)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 0 + 0 - 9*l. Let a(k) be the first derivative of 2*k**3\/3 - 5425. What is a(o(m))?\nAnswer: 162*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 162*p**3 + 5.\nAnswer: 162*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46354613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(315) - sqrt(315)*4*2)\/sqrt(5))**2.\nAnswer: 126*sqrt(7) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -259070920 divided by -232?\nAnswer: 1116685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -237*p - 7687. Calculate the remainder when 396 is divided by l(-33).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhohuuouhhehhu. Give prob of sequence uoe.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2562043.\nAnswer: 11, 89, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141671122 is divided by 78.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.94 + 0.06. Let c = -12.8 + h. Which is bigger: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50368718 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(-48) - 197\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 2)*(-3*o + 2*o - o)*(-359*o + 1011*o**2 + 720*o - 361*o) in the form i*o**3 + r*o**2 + k*o + s and give i.\nAnswer: 2022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 s when three letters picked without replacement from ossosso?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -423328 + -3?\nAnswer: -42332b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {r: 1, g: 2, f: 1, o: 2, u: 1, m: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26049511 to the power of 1\/2, to the nearest integer?\nAnswer: 5104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.839 - 0.161. Is -69 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 0 - 4*t**2 + 2 + (2*t - t - 2*t)*(-t - t + 0*t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -6. Let r(q) be the third derivative of -q**6\/720 - q**5\/120 + 29*q**4\/24 + 2*q**2 + q. Let p(a) be the second derivative of r(a). Give p(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33089456411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-2)\/sqrt(4))**2 + 2.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**2 - c + 5. Suppose 2*q = 3*q - 2. Let j = -465 - -471. Let v = q - j. Let y(n) = n**2 + n - 4. Determine v*y(t) - 3*k(t).\nAnswer: 2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t + 13*t + 2*t - 14*t. Let u(o) = -o. Determine -5*m(q) + 40*u(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14606131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 88.3?\nAnswer: -441.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -13*o**3 + 22*o - 23. Calculate u(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2520*o**2 - 1269*o**2 - 1267*o**2 + 9.\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2. Let q(h) = -11*h**2. Let n(g) = -6*q(g) + 34*u(g). Let a(z) = -3*z + 24. Let i be a(7). Let o(w) = -10*w - w + i*w**2 + w. Give n(o(m)).\nAnswer: -18*m**4 + 120*m**3 - 200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.264 - 1.736. Which is bigger: -4.6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/6*(-10 + 4). Suppose 0 = -t*o + 1375 - 211. Let b = o - 208. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*d + 281 + 213 = 0, 0 = -4*k - 4*d + 500. Suppose 0 = -3*g + 203 + k. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*sqrt(891)*6 - -4*(sqrt(891) - (3 + sqrt(891))))**2 + 2)*4.\nAnswer: -5184*sqrt(11) + 128908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -649, -731, -271, 737, 2299?\nAnswer: 4421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49644319.\nAnswer: 2243, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**2 + 9048627*c + 31655449?\nAnswer: 4*c + 9048627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6520127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/5)\/((660\/(-95))\/11).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h. Let b(x) = 2*x + 1. Let z = -5 - -7. Suppose -z*j - 4 = -j. Let c be -1 + 1 + 2 + j. What is c*b(u) - 6*a(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 26*f**2 + 2*f - 15. Let d be x(-6). Suppose 0 = 4*g - 287 - d. What are the prime factors of g?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1189, 1191, 1193, 1195?\n\"Answer: 2*a + 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 1222?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 divided by 3?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/13))**27*(m*m**(-18)\/m)\/(m\/((m**(3\/26)*m)\/m)))**(-13\/3) assuming m is positive.\nAnswer: m**(383\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878046870.\nAnswer: 2, 3, 5, 709, 41281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 2, 22, -16 in decreasing order.\nAnswer: 22, 3, 2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 65187*l**3 - 65195*l**3 + 195513*l**3 - 65206*l**3.\nAnswer: -75*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*b + 101946 = 103332 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 353, 3, 5, -2, 1, -91 in ascending order.\nAnswer: -91, -2, 1, 3, 5, 42, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:24 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1050) + sqrt(1050)*3))\/(-4*sqrt(864)*3).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 12:40 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2687124661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*a - 3363, -5*a + l - 2*l = -8367. Suppose -a = 5*d - 11*d. Suppose -4*z + 13*z - d = 0. What are the prime factors of z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 415664 and 0.4.\nAnswer: 166265.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 205 + -179. Let z be (2 - 1)\/((-1)\/(-208)). What is the greatest common factor of n and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1088) - 4*sqrt(1088))*-5 + (sqrt(1088) + 0)*-4) + 0)**2 + 4.\nAnswer: 1184836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5067, 20005, 44905, 79761, 124567, 179317, 244005, 318625?\nAnswer: 403171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 2)*3\/2. Let x be j + -2 - (-2 - 1). Let z(p) = p**2 + 12*p + 2. Let t be z(-12). Solve x*g + 2*k - 5*k + 27 = 0, 2*g = -t*k + 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 19. Solve 2*o = -0*o + k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -22. Suppose 2 = 4*i + 2*g, 0*g = m*i - 4*g + 4. Suppose -5*u = -i*u - 20. Solve 3*l - 8 = 5*f, -28 = -l + 4*l + u*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d + 2 - 2)*(304*d**3 + 997 + 8*d**3 + 4*d**2 - 1000) to m*d**3 + h*d**4 + s + i*d**2 + b*d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c*c**(-3\/2))*c*c*c\/c**(2\/11)*(c*c**1*c)**(-9\/7) assuming c is positive.\nAnswer: c**(225\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10063*w**2 + 2651*w - 6?\nAnswer: 20126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * -0.003.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78495, -78508, -78521?\nAnswer: -78534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*i + 218*i - 40 = 0. Let r be 8\/i + (-5 - (-216)\/30). Sort 0, -35, r, -1.\nAnswer: -35, -1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Suppose 9*h - 80 = t*h. Suppose -h = -5*o + 14. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 - (53 - (-15 + 49)) - (0 + -14)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 281362? (a) 0.3 (b) 5\/3 (c) 1\/6 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 824078917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1684)\/(-40) - 2 - 5\/50. Differentiate -620 + 1297 + s**3 - 612 + o*s with respect to s.\nAnswer: 3*s**2 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 76*c + 272. Give g(-7).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3220 and 992082.\nAnswer: 9920820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -39*n - 17*n - 9*n - 43*n. Let z(q) = 39*q. Give z(r(t)).\nAnswer: -4212*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 79 = 6*b. Put b, -5, 5, 76 in decreasing order.\nAnswer: 76, 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*w + 8. Suppose -2*t = -7*t - o + 283, 0 = -w*o - 8. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-9)\/9)\/((-7)\/56).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -110660 greater than -110660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 17*y - 3 + 8 - 40*y - 24*y**2. Let v(d) = -23*d**2 - 23*d + 6. Let i(h) = -6*s(h) + 5*v(h). Find the second derivative of i(p) wrt p.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.530477205 + -4.530477115. Let c = 0.054 + -4.054. Let x = a - c. Round x to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/4)\/((-4)\/(-32)*4). Let s = 16 - r. Solve 2*n + 3*i - 8 = 0, -s*i = -2*i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -108.17 (b) 43\/5 (c) 18\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - 31.95. Let n = y - -16. Let x = 11 + n. Which is the third biggest value? (a) -1\/6 (b) x (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2. Let r(z) = -338*z**2. What is r(l(b))?\nAnswer: -338*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 9. Let -4*o**3 - 4*o**3 + 4*o**2 + 6*o**u = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 3:33 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 - -27. Let o = 74 + a. Suppose -6*d + o = -4*d. What is the highest common divisor of d and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 34262*n = 34263*n - 69, 4*f = -2*n - 58 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 410, 1180, 2376, 3998, 6046, 8520, 11420?\n\"Answer: 213*m**2 + 131*m + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6078116 is divided by 577?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 404731 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in -2, 2, -1\/2, 0.1158, 43?\nAnswer: 0.1158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30692667 < 30692664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 34 = 5*v, 7*f - 14 = -v + 4*f. What is the highest common factor of v and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*p**2 + 48 - 89 + 38*p**2 + 41.\nAnswer: 140*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 411 + -339. Which is the third biggest value? (a) s (b) -1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -a?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -151 and 0.2424157415172.\nAnswer: -150.7575842584828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = -14 - 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g - 2. Let d be n(2). Let y be (d\/1)\/((-4 + 2)\/1). Solve -4*p = -h + 4, 2*p + y = 3*h - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16254?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.1870518 to 0 decimal places.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1345057 is divided by 2122?\nAnswer: 1831","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r**3 - 7*r + 8. Let d be h(1). Solve -3*q = -9, 4*g - 4*q + 5 - d = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-4)\/30)\/(20\/(-25))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 21197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:43 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2727 and 10668681.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.105 - -0.105. Which is the third smallest value? (a) 16 (b) 0.06 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 0)*(3 + -9)\/((-48)\/(-485076)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*f**3 + 96*f**2 - 96*f**2 + (9 + 15*f - 9)*(-3*f**2 - f + f)*(4 - 1 + 0) as w + x*f**3 + p*f + k*f**2 and give x.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 41*u**2 - 18*u. Let g(a) = -14*a**2 + 6*a. Let i(s) = 4*b(s) + 11*g(s). Find the second derivative of i(o) wrt o.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 202 and 2089387?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322676 is divided by 115.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*a - 2*a - 1472 = 0, -5*j + 7336 = -a. Suppose 1431 = 5*r + 4*t, 343 = -4*r + 2*t + j. 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 biggest value in 12, 0.6, -2, 0.021, -1, -14?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/29))\/t**(-6))**(-48)*(t\/(t**(-1)\/t))**(-10\/3)*((t**(-1)\/t)\/t)**(-50) assuming t is positive.\nAnswer: t**(-5780\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 4*z + 87 + 7, -9*m + 168*z + 33 = 167*z for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3996\/912)\/37*(-8)\/3?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggrrg. Give prob of sequence rgrg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 129592349 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -29836 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -194?\nAnswer: 35\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/13 (b) 0 (c) 3.173 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2115426799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 101.59 + -102. Let r = f + 0.01. Which is the nearest to 1\/3? (a) 0.1 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -14 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6*1114 + 12\/4. What is the smallest common multiple of (o\/(-350))\/((-2)\/25) and 42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000421334145 to seven dps.\nAnswer: -0.0004213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 - 3*c**2 - 3*c**2 + (0 + 0 + c)*(c - c + c))*(220*c - 1138*c - 109*c - 1128*c).\nAnswer: -4310*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 725660491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s + 1. Let k(p) = 5*p**2 + 11*p + 11. Let n(w) = 6*g(w) - k(w). Let o be n(5). Let b = 0.885 - -0.115. What is the closest to -1 in -2, o, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/12 + 0 + 2\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 14. Suppose 0 = 3*y - 6*y + 15. Suppose -f = -y*x - 7, -2*x = 4*f - 5*x - 79. Calculate the remainder when f is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-525)*-6*-7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (731266*l**2 - l + 8 - 731272*l**2 + 3*l)*(0*l + l - 3*l - 1 - l + 1 + (2 - 4 + 0)*(2*l - 3*l - l) + 0 - 2*l + 0).\nAnswer: 6*l**3 - 2*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5. Suppose w*m - 3*m + 9 = 0. What is the greatest common divisor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/5510 and 44\/3857.\nAnswer: 38570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n + n**2 + 1\/12*n**4 + 0 + 2\/3*n**3. Suppose o + 2 = -2*d, 3*d - o = 7*d + 6. Calculate p(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 8 + 4 = -4*g, g + 2 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 12 = -11, 4*d = -4*h - 164. Let c = h + 47. Solve 2*u = -g, 3 = -5*u + 4*g - c*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 233 - 228. Solve 4*s + 1 = -r + z*s, -3*r - s = -13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*o)*(2*o**2 + 2 - 2) + o**3 - 3*o + 3*o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/310577787 and -35\/282087?\nAnswer: 310577787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. What is the closest to 1\/4 in -5, -3\/5, s?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 5*c + 3. Let p(a) = -7*a + 16. Calculate the remainder when h(-4) is divided by p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -16. Let w(v) = -v**3 - v**2 + v + 1. Let c(j) = 4*j**3 + 4*j**2 - 3*j - 3. Determine x*c(n) - 6*w(n).\nAnswer: -2*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*m - 283, 3 = 2*r - 4*m - 539. List the prime factors of r.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - 0.08. Let i = 0.03 - 0. Let w = i + -0.43. Which is the closest to v? (a) -2 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 34*t**2 + 352*t + 12409. Calculate s(-34).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d = 87*d - 482 - 1130 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2. Let f(o) = 3*o. Let j(u) = 61*u**2 - 27*u. Let z(h) = -18*f(h) - 2*j(h). What is c(z(n))?\nAnswer: 14884*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 50*h. Let b(a) = -3*a - 36 + 18 + 18. What is b(z(p))?\nAnswer: -150*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d + 3*t = 18, 5*d - 3*t - 9 = 0. Suppose 5*z = d*z - 8. Let i(h) = -h**3 + 4*h**2 + 2. Let y(g) = g**3 - 5*g**2 - 3. Determine z*y(r) - 5*i(r).\nAnswer: r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 408 - 291. Let b be 3 + 12\/(-10)*-30. What is the highest common divisor of r and b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11609 + 52704. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310000 (base 4) in base 5?\nAnswer: -101303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23522?\nAnswer: 2, 19, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 9*t**2 + 8*t - 157. Calculate b(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 6*j - 1. Let g(l) = -2*l**2 + 6*l + 3. Let y be g(j). Let w(h) = -h**3 + 9*h**2 - 10*h + 18. Let u be w(8). Sort u, 0, y, -26 in descending order.\nAnswer: y, u, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 1\/5*y**5 - 4*y - 1\/15*y**6 + 0 + 0*y**4 - 2\/3*y**3 + y**2. Factor z(t).\nAnswer: -2*(t - 1)**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 - 955821*h**2\/2 + 114199461960*h - 114198984050.\nAnswer: (h - 477910)**2*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(3*p + p - 2*p)*(-5*p - 10*p + 3*p).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/16*6)\/(3\/30). Solve 3*f = -2*w + 4*w - k, 4*w = f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2388 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*i = 4*p - 192, 0 = p + 4*i - 32. Let n be (-12 - (-54)\/6)*-14. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5 = -47. Let w = p - 9. What is the third derivative of -2*t**2 + 6*t**3 - 6*t**3 + t**w wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35316 divided by 1?\nAnswer: -35316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4056*p + 61275*p + 15346*p + 2813*p.\nAnswer: 83490*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(((-20)\/74)\/5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, d: 4, g: 2, r: 6}. Give prob of picking 1 r, 2 g, and 1 d.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(c - c - 15*c)*(284*c + 137*c - 88*c + 295*c).\nAnswer: 18840*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -352331 divided by 1?\nAnswer: -352331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, b: 1, u: 1, e: 1, v: 2, w: 3}. Give prob of picking 1 b and 1 v.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -2. What is the remainder when 0 + (-129)\/(-4) - (-6)\/(-24) is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 18 = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33286 and 124.\nAnswer: 2063732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122149 is divided by 277.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2406 - -3896. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/9, 0.1, -0.3, -0.2 in descending order.\nAnswer: 8\/9, 0.1, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4)*4\/(-4 + 2). Sort p, -3, 1, 2 in decreasing order.\nAnswer: 2, 1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(52)\/(sqrt(4)*-1) - sqrt(143)\/(1*sqrt(11))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1539534640 to the nearest integer?\nAnswer: 39237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4119 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) -0.5 (c) 2.419 (d) 2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 618?\nAnswer: -619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -3805 in descending order.\nAnswer: 10, -4, -3805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 11 + -4 - (-35)\/(-5). Solve -b*o = -5*q - 32, 117*q + o + 9 = 114*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -32\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) 14 (c) 2 (d) 7\/755 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86*8*51\/(-272)*(5\/(-3))\/5?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in 5, 4, -47, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k - 1. Let d(y) be the first derivative of y**4\/4 - 3*y**2\/2 + 3*y + 4. Let w be d(2). Let t be m(w). Solve 4*g - 4 = -t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -185\/402 + -8\/201. Let w = 3 - 2.5. Which is the nearest to -1? (a) -1\/15 (b) v (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387522 is divided by 55360.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -203630580 to the nearest one hundred thousand.\nAnswer: -203600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*o + 28, 5*r = 4*o + 5 - 11. Suppose r*l = 3*l + 23. Let t = 2 - l. What is the remainder when t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j)**(-10\/17)*j**(-4\/5)\/((j**(2\/7)*j)\/j)*((j**(-4)*j)\/((j*j**(2\/5)*j*j*j)\/j))**(1\/27) assuming j is positive.\nAnswer: j**(-250\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 3584774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4775.9 - 4775.7. Let l = 0.23 + 0.07. Let m = l - 1.3. What is the nearest to 0.1 in m, o, -0.06?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 5*i + 3. Let g be c(3). Let f(j) be the second derivative of 2*j**3\/3 + 3*j**2\/2 + 93*j. What is f(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -13, -24, -39, -58?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2529 divided by 9.\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:40 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, 2, 12, -229 in decreasing order.\nAnswer: 12, 2, -4, -7, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43023 + 303?\nAnswer: 43331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5 + 104\/(-4))*(-1)\/3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28243177 <= -28243168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffktffwgwggwt. Give prob of picking 1 t and 2 w.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) -0.5 (c) 2471959 (d) 0.2 (e) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 358 - 46 = 0. Suppose 40*r - 4 = q*r. Solve 4*o = 4*h + 12, -h - 4*o = -r*h - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 - 139*o**4 + 4010*o**3 + 56650*o**2 + 193125*o + 140625.\nAnswer: (o - 75)**2*(o + 1)*(o + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 21, -69, -241, -489?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*w - 1474, -2*r + 13*w - 15*w + 738 = 0. What are the prime factors of r?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 0*s + 2*s + 3*s - 255 + 255. Let a(f) = -9*f. Calculate z(a(m)).\nAnswer: -45*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708242 a multiple of 1828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 0 + 0*n**3 + 0*n - 1\/60*n**5 + 0*n**4 + 16*n**2. Let v(g) be the third derivative of g**4\/8 - g**2. Give d(v(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*h**3*i*p - 14*h**3 + 3*h**2*i + h*i - 576*i*p**3 + 85*i with respect to p.\nAnswer: 26*h**3*i - 1728*i*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - 97*o + 151. Determine l(99).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjh when three letters picked without replacement from {o: 1, u: 2, z: 1, j: 2, h: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 51\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, -2, -1 in descending order.\nAnswer: 5, -1, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 - 269. Let z = -122 - q. Suppose 3*w + 5*g = 290, -4*w + 4*g = z*g - 384. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*f - 363 = 673 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21031 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 98a + 4?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 2*f**3 + 140 + 29 + 3*f**3 + 268.\nAnswer: f**3 + 367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - 0 - (12 - 10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**5*g + 1870353*c**5 - c**2*g + 2*c**2 - 3*c*g + 2177*c - 47*g wrt c?\nAnswer: 180*c**2*g + 112221180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/((-60)\/(-1920)*72)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98788727, 98788732, 98788737, 98788742?\nAnswer: 98788747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -0.39 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 697888.8 nanograms in kilograms?\nAnswer: 0.0000006978888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.032\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3638 plus -0.0001?\nAnswer: -3638.0001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5109 = 5934*c - 2905*c - 2828*c + 12780 for c.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 2*q - 25 = -3*q, -5*p - 3 = -2*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y + 123. Let a = y + 123. Solve c + 3*z = -8, a = c - 5*z + z + 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101011101101000100 - -100111?\nAnswer: 101101011101101101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, a: 3}. Give prob of sequence aea.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 8*r + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665134357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 7*i**2 - 8*i - 5. Let z be p(9). Let h(y) = -y + 4. Let a be h(4). Suppose z = 5*q - a*q. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.111? (a) 4 (b) -344 (c) -1\/2 (d) -4 (e) -5 (f) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(3\/4)*v*v*v**(-6\/5)\/v)**(1\/10) assuming v is positive.\nAnswer: v**(21\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 1 - (3 - 39). Let p = g - 28. Suppose 0 = q + 3*u - 133, -5*u - 6 = p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 11*z - 4. What is q(5)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6962806303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125*p**2 - 357*p**2 + 163*p**2)*(-6*p - 5*p**3 + p**3 + 3*p**3).\nAnswer: 69*p**5 + 414*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - 3*h)*(3*h + 76 - 61 - h).\nAnswer: -6*h**2 - 45*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 40\/((-30)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1243089, -1243112, -1243135, -1243158, -1243181?\n\"Answer: -23*z - 1243066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-612)\/(-72))\/(1\/((-2)\/3)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/68)\/(((-3)\/3)\/(-28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2186 divide 1754124337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.3 + 8.2. Let n = i - 3.5. Let h = -0.3 + n. Which is the third biggest value? (a) h (b) 4 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**2 + 5*v - 2. Let g(m) = m**3 + 13*m**2 + 9*m - 5. Let w(q) = -5*f(q) + 2*g(q). Let o(l) be the second derivative of w(l). Does 6 divide o(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54\/7 - -181\/28. Which is the third smallest value? (a) y (b) 13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 + 11662845*p + p**3 - 11662845*p.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 1. Let k(i) = 12*i - 1. Calculate -k(s) - 2*u(s).\nAnswer: -12*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**5 - 4*p**4 - 12*p**3 + 4*p**2 + 8*p = 0. What is p?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-16)\/9)\/(4\/(-3)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0719 - -3.0719. Which is the biggest value? (a) o (b) 14 (c) 2 (d) -1\/5 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1340655, -2681309, -4021963, -5362617, -6703271?\nAnswer: -8043925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - sqrt(704)*-5)*-1)**2 - ((1*sqrt(44))\/sqrt(4) - (sqrt(11)*-2)**2*-2).\nAnswer: -sqrt(11) + 25256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 4 = 0, 37*v + 13 = 42*v - 3*l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 10*y + 9. Let r be k(9). Let x be -40 - r\/(3 + 0). Let m = -21 - x. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/126 and (((-112)\/(-49))\/(-8))\/((-960)\/(-304)).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 + 39. Let g(h) = h**2 + 17*h - 13. Let d be g(-6). Let i = n - d. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 6*a - 48, -t - 115983*a + 115987*a = 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 985 = -s - g, s - 253 = 2*g. Suppose 141147 = s*x - 238*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/840 and -187\/840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39491?\nAnswer: 17, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15f35 + 0?\nAnswer: -15f35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3739*k**2 - 3022*k**2 + 7846*k**2.\nAnswer: 1085*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -336*j + 41. Is 22 a factor of z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**6\/120 - 19*n**5\/60 + n**4\/24 - 3*n**3\/2 - 31*n**2. Let g be i(19). What is the greatest common divisor of 35 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 542 - 540. Let o(x) = -x**2 + 1. Let y be o(2). Let q = 6.4 + -6.5. What is the second smallest value in -4, q, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70212663 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/4)\/((-57)\/(-38)))\/(12\/(-208)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 35, 5, -546, 4, 0.\nAnswer: -546, -12, 0, 4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259 and 444?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*l - 346 + 274 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/8 + (-1)\/4. Suppose -3*o + s*o + 65 = 0. Let q be 4*(-7 - 18\/(-2)) + 288\/16. Calculate the greatest common divisor of o and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2918 + 2922. Solve -k*x = -34 + 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16\/355 + 1858\/44375. What is the nearest to -0.1 in p, 5, -1, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 23195 - 56955 = -26*o. Is 79 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1156, 4, 20.\nAnswer: -1156, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 15) to base 5.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 517 = 513 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Suppose 0 = n + w*n - 16. Suppose -n*z - z = -1255. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 211 - 206. Let z = -7 + 11. Put -4, q, z, 0.5 in descending order.\nAnswer: q, z, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**24)**(-6\/19) assuming f is positive.\nAnswer: f**(-144\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -i + g + 54, 5*g + 561 = 3*i. What is the lowest common multiple of 102 and i?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 0 - 79*m + 1\/6*m**4 + 0*m**2 + 0*m**3. Let t(l) = 34*l + 2. Give r(t(u)).\nAnswer: 2312*u**2 + 272*u + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -110010011 (base 2) to base 3\nAnswer: -112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 251054252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 36*s**2 - 25*s**2 - s**3 - s**3 + 60*s**2 + 9 + 3*s**4 to the form k*s**4 + v*s + u + i*s**2 + j*s**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*(-4)\/10 - ((-2 - (-185)\/(-35)) + -4)?\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**6\/90 - s**5\/30 + s**4\/12 + 4*s**3\/9 + 2*s**2\/3 + 7*s - 1. Let p(u) be the first derivative of d(u). Factor p(r).\nAnswer: -(r - 2)*(r + 1)**2*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486*c + 9467602 - 57380884 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - 28 - (-62 + 101 + (10 - 1) + -10).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81974*f**3 - 6*f - 92009 wrt f.\nAnswer: 491844*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287577 = -29*z - 90609. List the prime factors of z.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13234267, 13234261, 13234255, 13234249, 13234243, 13234237?\n\"Answer: -6*r + 13234273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*f + 4*q, 2*f = 6*f + 4*q. Suppose -2*i + 5*i - 12 = 0. What is the nearest to 0.1 in f, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-28))\/((-1)\/(-8)). Suppose 0 = 5*s - 5*v, -4*s + l = -3*v + 2. Solve 5*a = -s*f - 31, 5*f + 4*a = 9 - 44 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, v: 2}. Give prob of sequence vvy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1086*v = 1087*v - m, -3*v = m - 8. Solve 0 = u + z - v, 0 = 7*u - 5*u - 4*z + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 113? (a) 475273 (b) -2\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8433*f. Let c(a) = -2*a. Calculate c(x(y)).\nAnswer: -16866*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*k + 15, 2*k - r = -74 + 87 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 990*r**2. Let o(c) = -1009*c. What is o(p(k))?\nAnswer: -998910*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.707880321 to 3 dps.\nAnswer: -0.708","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*((o*o**(-1\/3))\/o)\/o)**(-47)*o**(-2)*o*o\/(o*o*o**0))\/((o**(-2\/9))**(-7))**(-36) assuming o is positive.\nAnswer: o**(209\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2400*a**3*h - 2269*a*h**2 + 322628*h**2 + 3*h - 1 wrt a.\nAnswer: 7200*a**2*h - 2269*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/44 and -33\/6280028.\nAnswer: 69080308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1258252*p**2*z**3 + 442*p*z**3 - 16*p*z**2 - 3*p*z + z**3 + 2*z wrt p.\nAnswer: -2516504*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in -1, -44, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005697638 to six decimal places.\nAnswer: 0.005698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11) + (sqrt(440)\/sqrt(8))\/sqrt(5) + sqrt(1331) + sqrt(1331)*-3)**2.\nAnswer: 80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 779.94 + -780. Let z = -730 + 730.06. Which is smaller: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h + 9. Let w = 452 - 452. Let r be m(w). What is the highest common divisor of 24 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/3)*h*h)\/h*h)**46\/(h**1)**(-2\/5) assuming h is positive.\nAnswer: h**(2536\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(28) + 0 + sqrt(28))*6 - (1*(sqrt(7) + -2) - sqrt(189)\/sqrt(3)))*-6.\nAnswer: -192*sqrt(7) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43308*r**5 - 227379*r**4 + 400662*r**3 - 259959*r**2 + 43380*r - 12 = 0. Calculate r.\nAnswer: 1\/3609, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + a**3 + 26 + 0*a**3 + 31.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/4 + 3)*4094\/(-445).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10947000 divided by -3649?\nAnswer: 3000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39285\/1498 + 13\/214. Let d = 3007\/112 - o. Let q = -2374 + 47459\/20. What is the common denominator of q and d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 32, -2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522025 is divided by 260937?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/6 - 646132*i\/3 + 208743280712\/3.\nAnswer: (i - 646132)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -99, -121, -153, -195, -247, -309, -381?\n\"Answer: -5*h**2 - 7*h - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -50*t - 27. Is o(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(300) - (sqrt(3) - (sqrt(3) - sqrt(576)\/sqrt(12))))**2.\nAnswer: 12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20121212 (base 3) to base 9\nAnswer: -6555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 + 485*a**3 - 3*a**2 - 196 wrt a.\nAnswer: -24*a + 2910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163277 + 163254. Suppose 0 = -2*p - 3*p + 15. Put w, -4, p in decreasing order.\nAnswer: p, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-12) - 475\/825?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 6*a + 2*a)*(21 + 132 - 46).\nAnswer: 1070*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 3\/8, -0.4, -0.1341 in descending order.\nAnswer: 3\/8, -0.1341, -0.4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 996\/166*(4\/(-6))\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -7584\/6391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -39570*h - 10. Let r(q) = q + 20. Let i = -38 + 25. Let t be r(i). Let c be y(t). What is c rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**3 - 26*o**4 + 11*o**3 - 4 + 24*o**4 + 3*o + 1 + 16*o in the form l*o**3 + m + g*o**2 + x*o**4 + k*o and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 8:38 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g + 45*g - 4*s = 465082, 0 = -2*s - 12. Is g 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 53690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8841 divided by -3\nAnswer: -2947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 669 divide 74758520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 4*f - 5. Suppose 4*q + 0*q - 72 = 0. Let s be 10\/(-45) - 86\/q. Let u be a(s). Solve -2*h + h - 2*y - 2 = u, 3*h + 5*y + 4 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15538459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((-49 - -20) + -5)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 115*i + 0*i**5 + 0 - 3*i**2 + 29\/21*i**7 + 0*i**6 - i**3 + 0*i**4. What is the second derivative of n(g) wrt g?\nAnswer: 1160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 9*b + 10*b + 0*b. Let d(p) = -20*p - 2. Give d(h(z)).\nAnswer: -40*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1146 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - -1. Suppose 4*q - 5 = 2*o - 1, -3*o = -5*q + 7. Which is the second biggest value? (a) z (b) 1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 63*o**3 + 30299*o**2 - 1928*o - 1924 = 0.\nAnswer: -481, -2\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 16 = 4*w, -13*w + a + 49 = -18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = 1. Let d(x) = 4 + x**3 - 4*x**2 + 5*x**2 - x + 3*x**2. What is the lowest common multiple of y and d(-4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(2\/11)*r))\/(r\/r**(1\/4))*(r*r*(r\/(r\/(r**(5\/3)*r)))\/r)\/(r\/(r*r**(-1\/2)\/r))*(r**(-6)*r\/r**(1\/3))\/(r*r*r**0*r)**(2\/17) assuming r is positive.\nAnswer: r**(-9989\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {x: 1, t: 3, e: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*sqrt(76) - sqrt(76) - sqrt(76)))\/(sqrt(256)*1).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 220147392 divided by -32?\nAnswer: -6879606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 53*r - 80. Let z be o(3). What is the third derivative of 2912*f**4 - 2912*f**4 - 2*f**2 - 4*f**5 + z + 37*f**3 wrt f?\nAnswer: -240*f**2 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**3 + 3*k**3 - k**3 + 2*k**3 + 2*k - 2*k + (-40*k**2 - 14*k**2 + 95*k**2)*(-k + k + 2*k).\nAnswer: 85*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2037 + -1850. Calculate the remainder when k is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.11627 kilograms in micrograms?\nAnswer: 95116270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j**2 + 1387*j + 11*j**3 - 2*j**3 - 1390*j in the form g*j + z + m*j**3 + y*j**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7112, -56377, -189962, -450035, -878764?\n\"Answer: -7028*z**3 + 8*z**2 - 93*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -64542.\nAnswer: 19362.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 307695 or 307697?\nAnswer: 307695","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 5116725 + 783275. What is l rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 424 and 188\/12 + (-13)\/(-39).\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 848*o - 836*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 11, -9\/82, -3\/10 in ascending order.\nAnswer: -3\/10, -9\/82, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 2 + (62 - 54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5697*f**2 + 2160 wrt f?\nAnswer: 11394*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 2*n - 2. Let o be (1 - 1)*3\/(-6). Suppose 2*j + j = o. Suppose 3*i + j - 9 = 0. Give d(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 475 divided by -1220542\nAnswer: -475\/1220542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2293286 * -94\nAnswer: 215568884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let q(a) = 9*a + 2. Let m be 13\/(-2) - 30\/(-20). What is m*b(w) + q(w)?\nAnswer: 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 41*f**2 + 82*f + 166. Give y(-39).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 230 and 161.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 3*v + 3. Let l = 4 + -7. Suppose 5*f - 48 + 8 = 0. What is the remainder when f is divided by m(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 8 = -v. Suppose 3*g + 2*q - 19 = 0, -5*g + 8*g = 4*q + 7. Suppose -30 = g*c - 2*o, -3*o + 32 = -3*c + o. Do v and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5158 + 12241. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182494.73 + 181349. Let m = 1145.633939 + i. Let y = 0.096 + m. Round y to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -4*y + 0 - 235\/6*y**3 - 1\/2*y**2. Is j(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.64715983 + 0.062?\nAnswer: -11.58515983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2. Let x(q) = -190*q + 55. Let v(s) = -7*s + 2. Let h(i) = 55*v(i) - 2*x(i). What is j(h(o))?\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Suppose -3 = -d*j + 5. Suppose o - 5*k = -4, 0 = -0*o - j*o + 4*k. Solve -5*q + 21 = o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -40.85?\nAnswer: 122.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 1 - 1)*(0*r**3 + r**4 + 0*r**3) + 4*r**5 - r**5 - 4*r**5 + r + r**5 + 0*r**5 + r**5.\nAnswer: 4*r**5 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4406473 and -0.102.\nAnswer: 449460.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w - 10 + 1\/3*w**3 - 13\/4*w**4 - 1\/2*w**2. Let m be 39\/52 + 1\/4. What is b(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*1*sqrt(17) + (sqrt(170) + sqrt(170)*2)\/sqrt(10) + ((2*sqrt(204)*-2)\/sqrt(12))**2)*1 + 3.\nAnswer: -1085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5277 - 4751 = 950*q - 7074 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/8525 and -43\/105060.\nAnswer: 179127300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/20*(-2 - 82))\/((-21)\/(-3794)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124595154 to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*p**3 - 10*p**3 - 15*p**3)*(-p**2 + 7*p**2 - 4*p**2) - 4*p**5 + 0*p**2 + 0*p**2.\nAnswer: -96*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5*l - 4. Let k be 27\/6 + l\/2. Let x(o) = -o**3 - 8*o**2 - 20*o - 4. Let m be x(-4). Solve 3*h - k*v = -9, 0 = -4*h - 3*v + 4*v - m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8581, 17161, 25741?\nAnswer: 34321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*p - 3*i - 3, 20 = 4*i. Suppose -u + 2*o = 2*u - 16, -p*o = 20. Let c be 0 + (3\/u - (-5)\/10). Solve c*n - n + 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-955)\/300 - 21\/(-35). Is v at most as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*-4 + sqrt(242) + 0 + sqrt(242) - sqrt(242)) + (sqrt(242) - (sqrt(242) + sqrt(242)*-3)) + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*((-565)\/(-2))\/(-5).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-1)\/(3 + -2) - 2. Let o = -11 + 11.1. Which is the second biggest value? (a) o (b) -3\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = -4*b + 15171, -2*y - 10 = 0. Is b\/10 + 12\/(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-68)\/(-12) + (-2)\/3. Sort k, 2, -8 in ascending order.\nAnswer: -8, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9793889 to the nearest integer?\nAnswer: 3130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 14. Let c(w) = w + 9. Determine -5*b(k) + 8*c(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 261291 a multiple of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcsctsmcctltccmcmmc. What is prob of picking 2 c and 2 s?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 6:15 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10115 not equal to 10116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 10, r: 1, o: 1}. Give prob of picking 1 c and 1 s.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2325089\/80 or 0?\nAnswer: -2325089\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/7 + 2*c**3\/7 - 44*c**2\/7 + 88*c\/7 - 48\/7.\nAnswer: 2*(c - 2)**2*(c - 1)*(c + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 95 - 2*d**3 + d + 3*d**3.\nAnswer: d**3 - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 2*c**2 - 3*c - 3. Let a(o) be the first derivative of o**4\/2 - o**3\/3 + o**2 + 2*o + 47. What is 3*a(d) + 2*b(d)?\nAnswer: 4*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 - 141.64. Let p = -0.64 - g. Which is the second smallest value? (a) -3 (b) -1 (c) p (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d28b (base 16) in base 6?\nAnswer: -1053311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 6. Let t = 18 - 16. Suppose t*l = -10, -4*z - l + 31 = -4*l. Let j be r(z). Solve 3*c + j = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270491803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1157 divided by -1757.\nAnswer: 1157\/1757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0 + 2, -2*f + 3*p + 40 = 0. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -15*d**3 - 2*d**2 + 4*d + 4. What is b(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of -1*((-1)\/(-1) - 104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1355225851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1998 - -11874. Suppose -p + 3466 = -22*m. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 211899010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 7\/4 (c) 3 (d) 367.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01378770764 rounded to six dps?\nAnswer: 0.013788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (sqrt(500) + sqrt(500) + 1))**2 - (sqrt(20) - ((-1 + sqrt(20) + sqrt(20))**2 + sqrt(20))).\nAnswer: 12*sqrt(5) + 582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.34251 millennia in months?\nAnswer: 604110.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 7. Give k(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1277 = -3*n + 5*k, 0 = n + 2*k - 643. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxh when three letters picked without replacement from {h: 2, s: 1, b: 1, x: 1, j: 1, a: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10299.7 + 10300. Which is the closest to 40\/9? (a) v (b) -2\/21 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 4. Let c = x + -0.6. Sort 3, 1, c in descending order.\nAnswer: 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 260*m + 249. Give c(-129).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -58835b1a?\nAnswer: 58835b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157404, -314807, -472210?\nAnswer: -629613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 8:07 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 5. Let y be u(-5). Suppose 0*x + 3*x = y. Suppose 30 = -x*l + 3*l. What is the least common multiple of l and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**3 - 262*g**2 - 2907*g - 62. What is k(-16)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (-39)\/15)*5. Suppose h = -v*h + 72. Calculate the remainder when h is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**3*o + 694*j**3 - 6*j**2*o - 11*o wrt j.\nAnswer: 6*o + 4164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g - 9. Let v be m(6). Is 3 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 762 = -3*y, -7*l + 2*l = -4*y - 968. Suppose 0 = -q - 3*q + l. Let v = q + 64. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(((-24)\/32)\/((-105)\/(-10))). Let m be 66\/17 + j\/119. Solve -m*k = -i - 23, -3*k - 3*i + 13 - 7 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -218 or -220?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-3))\/(62\/(70 - 8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**3\/s))\/s**(10\/7)*(s**(4\/7))**(3\/20) assuming s is positive.\nAnswer: s**(-47\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1655\nAnswer: -1\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1777 + -1769. What is the third smallest value in -1, 0.3, v, 3.9?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -29*s**5\/10 + 11*s**4\/12 - 45*s. Find the third derivative of f(m) wrt m.\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**4*(k**4\/k)\/(k**(-6)\/k)*(k**0\/k)\/k*(k*k*(k*k\/(k*k*k**(-2\/7)*k))\/k)\/k*(k**(2\/7))**(1\/20) assuming k is positive.\nAnswer: k**(83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/945)\/((572\/165)\/(-52)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2224 - 2076. What is the remainder when 582 is divided by c?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of (1 + 4)*165728\/160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/10*6\/(-4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -5 + 18 + -2 - (-2 + 29).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + -308 + 294.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16785*-19879.\nAnswer: -333669015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14527995 and 995?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151 divided by 7?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omyyyoxhyhmoxmymy. Give prob of sequence ho.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 46311 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-70)\/25)\/(1\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5676\/(-6) - -6 - 4. Let n = f + 1453. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*n + 12 + 10, -2*k - n + 9 = 0. Let a be 8\/(-10)*(-16 + 1). Let h = a + -7. Put k, h, -3 in increasing order.\nAnswer: -3, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*3)**2 - (sqrt(432) - (1 + sqrt(432) + sqrt(432))**2 - sqrt(432) - sqrt(3)).\nAnswer: 49*sqrt(3) + 4996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.891 - 0.091. Let i = 9 - s. Let x = -1.1 + i. What is the third smallest value in x, 5, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34109 divided by -1.\nAnswer: 34109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/4 + g**3\/3 + 3*g - 17. Let j(l) = 3*l**3 - 3*l**2 - 7. Determine -3*j(o) - 7*t(o).\nAnswer: -2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8210918 rounded to 4 decimal places?\nAnswer: 0.8211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -151 + 161. Calculate the greatest common factor of w and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8656 + 8658. Let j be -6*(2 + (-8)\/6). Let q be (u\/j)\/(6\/(-84)). Solve -2*y = -5*s - 26, -y + 0 = -s - q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-4)*6\/4. Let q be y*(-3 - 21\/(-9)). Let k = q + -1. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 2881402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*h + 1 + 166*h - 59*h + 94*h**3 - 55*h wrt h.\nAnswer: 564*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75.2, -1, -1\/4 in ascending order.\nAnswer: -1, -1\/4, 75.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1448 + 103. Suppose 6*l - 2673 = g. Suppose 5*p - l = p. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)*4)\/sqrt(6))\/(-1*-4*sqrt(5)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 - 1383877190.\nAnswer: -1383877189.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2372, -4476, -6306, -7862, -9144, -10152, -10886?\nAnswer: -11346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*f - 98*f - 54 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6942, -13886, -20830?\n\"Answer: -6944*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 10:26 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 51. Let n = -417 + 399.9. Let c = h + n. Put 2\/5, c, -1 in ascending order.\nAnswer: -1, c, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 1. Let m(a) = 66*a + 69. Let h be m(-1). Let z(s) = 5*s**2 + 10*s. Calculate h*k(r) + z(r).\nAnswer: 2*r**2 + 10*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*p + 2*p + 31850, 2*o - 15926 = -p. Let c = -4662 + o. Round c to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5 + 2*x**2 - 14*x + 5*x**2 + 10*x - 6*x**2. Let o be d(3). Suppose -4*j - q + 56 = -3*q, -o*j + 44 = -5*q. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v - 12. Let s = v + -8. Put 2, s, 0 in decreasing order.\nAnswer: 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2374 and -4?\nAnswer: 0.9496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2901?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1919*d = 2154*d - 7477*d - 434520 for d.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6009 divided by 161?\nAnswer: -6009\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3102414 (base 5) to base 12\nAnswer: -25187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwjpjjwjjpwpr. Give prob of picking 1 j, 1 p, and 1 r.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 10*k = 18, -112*k = -4*i - 114*k + 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3 - -2) + -2. Let l(x) = -x - 1. Let n(q) = -q**3 + 4*q**2 - 5*q. Let f(y) = p*n(y) + 2*l(y). What is f(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**4 - 2*z + 162*z**2 - 6 + 4 - 180*z**2 + 2*z**4 in the form j*z**3 + s*z**4 + h*z + w + d*z**2 and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-6 - -4) + (0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-3 - (-15 + 5))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 g, 1 b, and 1 z when four letters picked without replacement from {g: 3, n: 3, o: 2, z: 1, b: 2, j: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**3 + 1132*o**2 + 24956*o + 23828 = 0.\nAnswer: -259, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285941 is divided by 2486.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 - 112. Suppose 3*b - 338 - 157 = v. Suppose -b = f - 4*f. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from icjzhjzjcijcjhjjccj?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 14)*(-4*a + 3*a + 0*a).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7796344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {j: 2, n: 1, a: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*s, -2*u + 2 = -4*s + 3*u. Suppose 1 + s = 3*q. Calculate the smallest common multiple of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 - (19 - (-7 + 12))) - -45\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27557561 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1816 + 1812. What is the third biggest value in 2\/13, s, 0.15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 5*q**6\/6 - 16*q**5 - 95*q**4\/4 + 170*q**3\/3 + 504. Determine p, given that j(p) = 0.\nAnswer: -2, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-118)\/(-88) - 2\/8. Let q = -14\/33 + g. Let t = -336 - -337. Put q, -0.3, t in descending order.\nAnswer: t, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 84. Solve 0 + 0*s + 0*s**3 - 3\/5*s**h + 1\/5*s**2 - 2\/5*s**5 = 0 for s.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -418 + 419. Let i(u) = 11*u - 4. Calculate i(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htst when four letters picked without replacement from {h: 2, s: 5, t: 5}?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*s + 461*s = -10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13268 - 13268. What is the third smallest value in 1\/3, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6*1\/18)\/((-4)\/(-803028)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 4*j - 2*j)*(116 - 5*j - 116 - 2 + 2 + 2*j + (3 - 1 + 0)*(-6*j + 2*j + 2*j)) to the form c + f*j**2 + i*j and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u + 9. Let f be m(6). Let r = -22 - f. Calculate the greatest common divisor of 51 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - 28. Let b = -29 - w. What is the second derivative of 8*c**3 - 10*c + 15*c**3 - 8*c**b wrt c?\nAnswer: 90*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 22. Let k be p(14). Let i(d) = -12*d - 56. Let b be i(k). What is the highest common divisor of 272 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 15 - -9 - 21\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*y + 6556 - 6864. Calculate the remainder when 899 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*r**3*t**2 + r**3 - 2*r**2*t**2 + 2*r**2 - 454*t**2 + 3540 with respect to t.\nAnswer: -14*r**3*t - 4*r**2*t - 908*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 215024 and 4.\nAnswer: 215024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -74b53 (base 12) in base 13?\nAnswer: -54c6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -494825 * 16.\nAnswer: -7917200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*g = 38, 4*g + 34 = q - 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-148*z - 251*z - 5*z).\nAnswer: -404*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + -6922?\nAnswer: -6938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -482? (a) 0.3 (b) 1 (c) -5 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u + 1 = 33. Suppose 2*s = -2*n + 758 - 88, u*n + s = 673. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from occc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1639 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 213888 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43223?\nAnswer: 43223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -615*g - 21635 + 19175. Let y = -0.184 + -76.816. Which is the second biggest value? (a) g (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12\/25, 11\/2, 2 in decreasing order.\nAnswer: 11\/2, 2, 12\/25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/208?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2, 3*l = -h + 18168 - 6749. Let x = 8198875397\/2150838 + -24\/119491. Let t = l - x. Find the common denominator of t and 27\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148, -3, -2\/5.\nAnswer: -3, -2\/5, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38237861?\nAnswer: 19, 2012519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 58040 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: Rearrange -50*x - 12*x**2 - 17*x + 69*x + 52 - 15 to the form p + s*x + g*x**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41615360 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 62, 70, 82, 98, 118, 142?\n\"Answer: 2*y**2 + 2*y + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55869\/8 + -6974. What is the common denominator of 200\/35 - (-2)\/(-7) and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2200*q - 1. Let c(h) = 2199*h. Determine 3*c(g) + 2*s(g).\nAnswer: 2197*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*k**4*r**3 - 11*k**4*r - 19*k**2*r**3 - 2*r**3 wrt k.\nAnswer: -336*k*r**3 - 264*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69.6582541 and 4.\nAnswer: -278.6330164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 60, 46, 16, -36, -116?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 4*b + 3*b + (27 - 18 - 21)*(-b - 3*b + 2*b) as w*b + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -29*c - 8. Let x(n) = -n - 1. Let u(o) = a(o) - 6*x(o). Let k(s) = -8*s - 1. Let d(q) = 17*k(q) - 6*u(q). What is the first derivative of d(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47711, -45967, -44223, -42479, -40735, -38991?\nAnswer: -37247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 760 - 3736 = 146*c - 394*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3154\/3 + -217654\/207. Let d = y - 2\/23. What is the closest to 1 in -10, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252*v + 93*v - 985*v - 199*v.\nAnswer: -1343*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -29. Let v = -1 - -1.1. What is the nearest to v in 0.3, s, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*u + 6*u + 6*u to g + h*u and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 2104?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031920471 to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38221*v**4 + 3*v**3 - v**2 + 1509191*v?\nAnswer: 458652*v**2 + 18*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*i = 24, -15*i + 1 = 4*b - 20*i. Suppose 5*z - 25 = -5*x, 2*x - x = 3*z - 11. Let r = -3 + x. Sort r, b, 5 in decreasing order.\nAnswer: 5, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-30))**(2\/3) assuming a is positive.\nAnswer: a**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7614358 nanograms?\nAnswer: 0.0000000000007614358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 225 + 33225 = 0. What is u rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6742*l = 2*o + 6748*l - 20, 5*l - 19 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-18)\/s))\/((s*s*s*s\/s**8)\/s))\/(s**(-18)\/s*s**(-3)))**(3\/8) assuming s is positive.\nAnswer: s**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28.8 + -26. Let o = b + -1.8. Let s = -9 + 43\/5. What is the second biggest value in o, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 - 10.19. Let j = 9 + x. Let q = -24\/35 - -2\/5. What is the nearest to j in -5, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -4, -5, -2\/87, 0.3, 17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 20 - 4)*(-2437 + 2437 - 460*f).\nAnswer: -6900*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1157, -1156, -1155, -1154?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -5*f + 10*w, -3*w + 142 - 103 = 4*f. Factor -3\/2*x + 7\/4*x**2 + 0 - 1\/4*x**f.\nAnswer: -x*(x - 6)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11c08 (base 14) in base 4?\nAnswer: -22220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174376 and 1704?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(704) - (sqrt(704) + 1))*4 + -1 + 6*sqrt(704)*4*-1*-6.\nAnswer: -7 + 1152*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14200 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 769809 or -0.12?\nAnswer: 769809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 15*u**2 + 3*u - 16. Give m(15).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 1. Let q = -5 + 4. Let b be m(q). Suppose -3*w + b = -0. Solve 2*z = 3 - w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -18.2. Let j = -72 - -75.8. Let o = p + j. What is the fourth smallest value in 1\/8, o, -3, -3\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405*b + 399*b + 12 = 0. Let t(m) = 249*m - 21. List the prime factors of t(b).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26579 < 26579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 90908 divided by 22727\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1250241 is divided by 249481?\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -47031, -2.24 in decreasing order.\nAnswer: -1\/2, -2.24, -47031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16\/3 of a millennium?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57873937 or 57873936?\nAnswer: 57873936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -35. Suppose -2*f = -m - 71, 4*f = 6*m - 8*m + 154. Calculate the remainder when f is divided by (-30)\/(-8)*128\/o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-3 - -3) + 0) - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 11 = 3*g, -4*j - 2*g - 2 = -5*j. Let h be 6\/8 - (-1)\/j. What is the smallest common multiple of 18 and 12*h - (1 - -1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 3*y**2. Is 8 a factor of k(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(363) + -1)**2*6 + (3 + sqrt(363) + (sqrt(363) + 0)*-4)**2.\nAnswer: -330*sqrt(3) + 5459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*w - 2 = -162*w + 4*q, 0 = 3*w - 3*q - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 - -94. Which is bigger: -2\/85 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuuu when four letters picked without replacement from ucvcvcnvccccncvucu?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 1\/12, 0.14, -0.4, 5\/6, -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 75*z = -17*z - 1056 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 960874450 to the power of 1\/3, to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 286416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10\/6)\/(37\/111). Let w be -1*(0 + -3) - 3. Suppose -4*i + 5*f + 6 = -14, w = -3*i + 2*f + 15. Solve 0 = i*d - 2*m - 1, -2*d - 3*m - s = -2*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47371?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178986.\nAnswer: 2, 41, 26573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 693109 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)\/(r**(-8)*r))**(-24) assuming r is positive.\nAnswer: r**(-1224\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by -15893.\nAnswer: -124\/15893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggkkdkgqigkizqq. Give prob of sequence qk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1323 + -1439.1. What is f rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-4))\/(21\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1022 divided by 511.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1203637693.\nAnswer: 113, 10651661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 - 8*h - 20. Let k be x(6). Let t(b) be the third derivative of 3*b**2 + 1\/6*b**3 + 0*b + 0*b**k - 1\/60*b**5 + 0. What is t(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 673951 = 74*h + 8765. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1764.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1998 (base 15) to base 8\nAnswer: -12647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1. Suppose 5*x - 11 = 3*b, 0 = 5*b - 0*x + 4*x + 6. Let c(y) be the first derivative of 2*y**3\/3 + 2*y + 1. Determine b*z(v) + c(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 times -5?\nAnswer: -1585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-10)*40\/(-6). Let q = l - -14. Solve q*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j + j**2 + 4*j - 10*j - 4*j**2 - 1 + j**2. Let w(q) = q**2 + q. Give 2*k(s) + 3*w(s).\nAnswer: -s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14472 divided by -9.\nAnswer: -1608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (0 - (8 - 9))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6*d = -292. Let v be d\/(-8) + (-1)\/4. Let c(x) = 5*x**2 + 1. Let t be c(1). What is the greatest common factor of v and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4087 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 370724 to the power of 1\/2, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -39, -16, 4 in descending order.\nAnswer: 4, -1, -16, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1001000010 (base 2) to base 8\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/2 + t**3\/2 - t**2 - 6*t + 3. Determine h(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -639882*f**4 + 3*f**2 + f + 100460?\nAnswer: -15357168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 20. Suppose h = 5*a, -o - 3*a + 6*a = 7. Are 3\/16 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1312086 millilitres in litres?\nAnswer: 0.0001312086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o. Let h be (3 - 9)\/(-2 + 0\/(-1)). Let s(t) be the third derivative of 0*t**h + 1\/3*t**4 + 0*t + 6*t**2 + 0. Determine f(s(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 s when four letters picked without replacement from ssssosoossoo?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1216 = -7*f. Let u = -117 + f. What is the remainder when 169 is divided by u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 287 and 5.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89.2 + -1073.8. Is k not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34 - 2*m**2 - 34 - 12*m in the form h*m + w + l*m**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 5811134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/3999 and 44\/282441.\nAnswer: 12144963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -843 + 842. What is the closest to -5 in -0.3, -0.22, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -336, 3, -0.074, 8\/3 in increasing order.\nAnswer: -336, -0.074, 8\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.41 - 0.11. What is the second biggest value in -2\/3, -5, s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-1)\/((l*l*l**0)\/l**(-1\/3))*(((l\/(l**(9\/5)\/l))\/l)\/(l\/((l\/((l**(-6)*l)\/l))\/l)))**27 assuming l is positive.\nAnswer: l**(1681\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 629 and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -0.3 (b) -16\/167 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 39100 and 2574897?\nAnswer: 2535797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 612 - 167. Suppose 5*m - y = 31. Solve 0 = 2*n - 4*d - 9 - 9, -3*n + m = -5*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**4\/12 + 18*t. Let z(b) be the third derivative of b**5\/30 - b**2. Calculate h(z(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*(-13*m + 20*m + 12*m).\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 - 197*l**3 + 176*l**3 - 177.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 765*k + 136. Let z(h) = 17*h + 3. What is -3*j(d) + 136*z(d)?\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-5)*210\/9. Let j = b - -46. Let i = j + -7. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and 0.0857.\nAnswer: -7.9143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -14. Suppose 4*b + 16 = -j*m - 0*m, 0 = 5*b + m. Solve -t = -2*t - b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 13 - 17 - 40 + 2*g**2 + 16 + 20.\nAnswer: 2*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-64)\/(-6)*(145\/(-174))\/((-30)\/27). What is the greatest common factor of 3872 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 5*o + 17. Determine g(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 + j**2 + 3*j - 6. Let r(l) be the second derivative of -l**3\/6 - l**2 + 23*l. Let k be r(-6). Is n(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*w - 44*w + 92*w - 1 + 114*w**2.\nAnswer: 114*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 1)*(-2*s + s - s) + (-3 + 6 - 1)*(0*s + 7*s + s))*(-4*s**4 + 5*s**4 - 3*s**4).\nAnswer: -24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2 + 2*p - 2. Let i(x) = -29*x**2 - 14*x + 9. Let d(j) = 31*j**2 + 15*j - 9. Let k(l) = 5*d(l) + 6*i(l). What is 9*f(z) + 2*k(z)?\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.970835mg in kilograms?\nAnswer: 0.000006970835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**2 + h + 1. Let f(a) = 15*a**2 - 4*a + 5. What is 4*c(p) - f(p)?\nAnswer: 5*p**2 + 8*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9462 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 2}. What is prob of sequence yy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30.3 times -12\nAnswer: -363.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1696 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1911\/4, -4\/9, 2\/11?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/420 - b**5\/70 + b**4\/21 + 31*b**2 + 8*b. Factor r(t).\nAnswer: -2*t*(t - 1)*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1003857686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/((-42)\/(-15))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9295*w**3 - 20930*w**2 + 51900*w + 117000 = 0. What is w?\nAnswer: -30\/13, 26\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-18)\/(12\/(-4)). Let u = 6 - v. Solve -z - 4 = 3*m, -14 - u = m + 4*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66769415?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19972722 is divided by 6657570.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 67*o**2 - 53*o - 442. Let u be r(66). Are u and 419 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**3 + r**3 + 2*r + 0*r**3)*(-11*r + 3*r - 12*r).\nAnswer: 80*r**4 - 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -95*t**3 + 9 + t**4 + t**2 + 95*t**3 + 0. Find the second derivative of s(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/6)\/(3\/(-18)). Which is the second smallest value? (a) 0.5 (b) 3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 228?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3 - 5. Let c be (20\/z)\/(1\/(-2)). Is (16\/(-6))\/(c\/135) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61408 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10376 - 2520 = -109*q - 3304. Sort 3, -7, q in decreasing order.\nAnswer: q, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + -70.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = a + a, -3*a + 3*y = -18. Suppose 0 = 12*b - a*b. Suppose -u + 2*u - 30 = b. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1074 + -1067. Let r(t) = -4*t + 2. Let u be r(3). Let f = u + 15. Put f, m, -1 in descending order.\nAnswer: m, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16381522043939 + -4?\nAnswer: 16381522043935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170 - 171 + c**3 + 341.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -9. Suppose 0 = -i*l + 10 - 2. Solve -l*y + 8 = -0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 11 - 5 = 4*y, y - 14 = 2*j. Suppose 0 = -y*b - n + 4, 0 = 3*b + b + 2*n. Solve 0*d - 16 = -d + 4*l, -5*l - 17 = -b*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 11:55 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1265408963 to the nearest integer?\nAnswer: 35573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 - 98. Let m = 0.1 + -22.1. Let s = -20 - m. Which is bigger: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8039273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4940 and 268461830?\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + q = 34, -2*n + 4*q - 884 = -858 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(sqrt(128))**2 - sqrt(32)*-2*-6).\nAnswer: -96*sqrt(2) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 4*y**3 + 75 - 21*y**2 - 29 - 24 to a*y + h*y**3 + l*y**2 + q and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.86 + -7.333. Let h = k + 4.473. Which is the second smallest value? (a) h (b) 1 (c) -21\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghgg when four letters picked without replacement from ghhhgghhhh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*(a*a\/(((a\/a**(1\/4))\/a*a*a)\/a))\/a)\/(a*a\/(a\/a**5)*(a**6\/a)\/a) assuming a is positive.\nAnswer: a**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 + 7 - 15\/(-7))*-2. Let u = 7.88 + -11.55. Let d = -0.33 + u. Sort d, i, -1.1 in decreasing order.\nAnswer: i, -1.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -43. Suppose 32*u = x*u - 160. What are the prime factors of (-1)\/(-3) + u\/12 + 35?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, q: 4, g: 1, z: 2, i: 1}. What is prob of sequence qiqq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 7*j = -40. Suppose -100*h = -98*h + j. Let o(m) = m**2 + m - 1. Let n(y) = -7*y**3 + 2*y**2 + 2*y - 2. What is h*n(g) + 2*o(g)?\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -101606 (base 7) in base 15?\nAnswer: -5285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 70880109?\nAnswer: -5\/70880109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-884)\/(-221)*18\/56?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by (-29)\/87 + (-133)\/(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 81639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426 divided by -24573.\nAnswer: -142\/8191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 4:26 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/n**(-5\/6))\/n)**(-46))**(-3\/11))**(-1\/16) assuming n is positive.\nAnswer: n**(-23\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74917179 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 - 2)*((0*t**3 + 0*t**3 + 2*t**3)*(2 + 1 - 5)*(16*t - t - 48*t) + (-2*t**3 + 0*t**3 + 4*t**3)*(-1 + 1 - t)).\nAnswer: 1300*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 + 57*s**2 + 127*s - 40. Calculate h(21).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 245184 - 114143. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77355.\nAnswer: 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 7 - 7. Solve l = 5*h + 30 - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -848 times 0.1?\nAnswer: -84.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8580000 rounded to the nearest 100000?\nAnswer: 8600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4967, -39861, -134671, -319385, -623991, -1078477, -1712831?\nAnswer: -2557041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160914.\nAnswer: 2, 3, 13, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1788894363?\nAnswer: 3, 596298121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-20)*2\/(-28)*-10\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/(-15))\/(2\/25). Is 9 a factor of 91\/5 - (-6)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + ((sqrt(84)*4*1)\/sqrt(12))**2 + sqrt(56)\/(sqrt(96)\/sqrt(768)))*2.\nAnswer: 32*sqrt(7) + 440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 - 23*c + 5. Let d = 0 + 0. Suppose d = 4*n - 5*n + 10. List the prime factors of u(n).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 557 - 293. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473*y - 234*y + 13881 = 951*y + 325*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 + 16*a**2 + 4*a - 4. Let o be x(9). Let z = 104 - o. What are the prime factors of z?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1261798*p + 703105 wrt p.\nAnswer: 1261798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a**2 + a - 5. Let y be m(-5). Suppose 3*h - 2*u = 180, -5*u = -4*h - 4*u + y. What is the greatest common factor of h and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 404 - 979. Let v = -365 - c. Let i = -209.869 + v. What is i rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*9\/(-4)*(-12)\/234.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -41437609.\nAnswer: -165750436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16593, -33229, -49853, -66465?\n\"Answer: 6*c**2 - 16654*c + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqtt when four letters picked without replacement from {q: 5, t: 2, u: 7}?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519707821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k. Suppose 7 = 4*y + q - 1, 0 = -5*y + 3*q + 27. Let t(v) = 2*v - 4*v + v + y*v. Determine t(p(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 67 - 15 = -2*d, -d - 4*r + 29 = 0. What is the remainder when 176 is divided by d?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168708 - 1210142486\/7173. Is -1 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190 + -187. Put -6, 5, -2, d in ascending order.\nAnswer: -6, -2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.5 - 19. Let t = -2.4 + u. Let g = 43\/315 + -1\/315. What is the second smallest value in t, -3, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974 a factor of 60945276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*k + 1477*k = -3*l + 85, 0 = 4*l - 10*k - 180 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 127877426, 127877424, 127877422, 127877420?\n\"Answer: -2*t + 127877428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 130 - 130.47. Let g = b + 0.87. What is the biggest value in g, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -55\/3, -0.183, 1 in ascending order.\nAnswer: -55\/3, -1, -0.183, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1138113.9 to the nearest one hundred.\nAnswer: -1138100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -4*s - 480. Suppose 3*w - 2*r - 255 = 0, w - s = -3*r - 0*r. Suppose 15*j - w = 14*j. Is 29 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/698364 and 2\/15315.\nAnswer: 3491820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7246 + 7249. Solve -41*p + 39*p = 2, -5*p - 20 = z*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from qqfqfrfqqjqpqrfqqq?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*73\/((-81468)\/(-144)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 19?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 93.461.\nAnswer: -96.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = f + 2, 0 = -f - 4*c + 12. Solve f = -0*j + 13*j - 26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -55*z**4 - 169 + 98*z**4 + 26*z**4 + 75*z**4 wrt z?\nAnswer: 576*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-10 + 22 - 8) + 1 + -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 3 (c) -3\/2 (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -3.9. Let o = -203 + 206. Let h be (117\/84)\/o + (-6)\/8. Sort y, -4\/7, h in ascending order.\nAnswer: y, -4\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**3\/3 + 15*t**2\/2 + 6*t - 18. Let u be o(-7). Let w = u - -53. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gannert. Give prob of sequence ag.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 + 2\/(2*1). Suppose g = -15 + 5. Let p = f - g. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130710*r**2 + 15804*r**2 - 6607*r**2.\nAnswer: 139907*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.112+3.55\nAnswer: 3.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21009679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*z = 2082 - 1428 + 1842 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*t**2\/5 + 16*t.\nAnswer: 2*t*(9*t + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125234 is divided by 20101?\nAnswer: 4628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rlzl when four letters picked without replacement from {l: 9, s: 1, r: 3, w: 3, z: 1, n: 2}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -1)**2 + -1.\nAnswer: -20*sqrt(17) + 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:10 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/((u\/u**9*u)\/u))\/u*u)\/u*u*u)\/u**0)**(22\/3)*(u\/u**0)**(-12)\/(((u\/(u**(2\/3)*u))\/u)\/(u\/(u*u**4*u))) assuming u is positive.\nAnswer: u**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 21 + 1 = 0. Suppose -l + 13 = 5*y - 3, -o*y = -20. Suppose -4*c - 6*s + s - 32 = 0, 0 = 3*c - 5*s - 11. Is l > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from bbxwz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2274)\/4*(-4)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 5:05 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*s + 4*s - 32, 124 = 4*s - 4*m. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3\/6 - 1373*q**2\/6 - 2738*q\/3 = 0. Calculate q.\nAnswer: -1369, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -49 - -23 - -88?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 18*c**2 + 13*c - 33. Calculate x(-17).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17605 plus -0.4?\nAnswer: 17604.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (162\/(-135))\/(3\/(-50))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 4:07 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/91 + -17\/91. Which is the third smallest value? (a) r (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 4. Let z be 17\/(-4) - 2\/g. Let w = 4.3 + -4. Which is the nearest to -0.1? (a) -2 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 at least as big as -10243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5.3 (b) 0.2 (c) -3 (d) -113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + i**3 - 4*i + 9*i**3 - 5*i**3 - 6*i**3 in the form p*i + c*i**2 + j + w*i**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orr. Give prob of picking 1 o and 1 r.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6783 - -0.70753. Let y = g - 0.029. Round y to five dps.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125760.8 rounded to the nearest 100?\nAnswer: 125800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 61. Let z be b(-16). Suppose -2*t + 0*t = -44. Solve -z*s - 7 = -t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74*w**2 + 7*w - 9185 wrt w?\nAnswer: -148*w + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myu when three letters picked without replacement from yuum?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -5. Let g(m) = 4*m**2 - 33*m + 43. Let f be g(8). Put f, v, -3, 2 in increasing order.\nAnswer: v, -3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -31)*(-1)\/(-13)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1704*s**2 - 891*s**2 - 1052*s**2.\nAnswer: -239*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 58415564 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 2, t: 2, m: 1, p: 1, o: 1}. Give prob of sequence omt.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/6 in 8, 0.03, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 1. Let b be s(5). Suppose -2*q = -3*t + 21, -q - 2*q - b = t. Solve -2*o + 6 = -2*m, 4*o - 27 + 6 = -t*m for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 7. Let w(n) = n + 12. Let m be w(-8). Suppose -4*x = -5*x + m, 25 = 5*h + 5*x. Put 2, b, h in descending order.\nAnswer: 2, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1900)*3 - (sqrt(1900)*2)**2*1 - (4 + (-1*((sqrt(19) + 1 - sqrt(19))*3 + (sqrt(228)\/(sqrt(48)\/sqrt(4)) - sqrt(19))))**2).\nAnswer: -7613 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 130 = -0*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6477081 and 2964?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/21, 2, 171\/65, 2\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 0.2, 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 533 + -528. Which is the closest to 1\/5? (a) -1\/7 (b) l (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 206596 and 1365?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046812 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + 2 - (39 - 17 - 17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -141897*t**2 + 2*t - 2*t + 141906*t**2. Let b(g) = 6*g**2. Calculate m(b(f)).\nAnswer: 324*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 219787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 6*y**2 - 7*y + 7. Let m be d(-4). Let z(u) = -3*u**3 - 2 - 15*u**2 + 4*u**3 - 2*u**m + 2*u**3. Calculate z(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 10:47 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2595275\/6 - 431090. Let c = y - 1452. Let v = 3467\/60 + -335\/6. Calculate the common denominator of c and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-372)\/(-1023)*33\/3. Solve -3*g - 6 = 3*h + 12, 2*g = -c*h - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0477, -2, 6\/23 in decreasing order.\nAnswer: 6\/23, -0.0477, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a**(-8)*a*a)\/a)\/a**(-1\/3))**(-13\/7))**(-5\/6) assuming a is positive.\nAnswer: a**(-1105\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 3:34 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -251699*g**2. Let x(y) = -14*y**2. What is c(x(w))?\nAnswer: -49333004*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55365?\nAnswer: 3, 5, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 l, and 1 y when three letters picked without replacement from {w: 3, l: 3, v: 7, a: 1, m: 3, y: 1}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 22955920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -785, -788, -791?\n\"Answer: -3*k - 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4\/7 + 73728*y**3\/7 + 663412*y**2\/7 + 115824*y - 221130 = 0.\nAnswer: -36855, -7, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -286, -328, -372, -418, -466, -516, -568?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 5. Let y(p) = -p**2 - 3. Suppose 4*b + b - 60 = 0. Let x be (4 - (32\/b + 1))*-9. What is x*j(k) - 5*y(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (1517 - 1510) + 23 + -1?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3327331 or 3327329?\nAnswer: 3327331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z**2 + 0*z**3 + 9*z - 2 - 1 - z**3 - 2. What is the units digit of g(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(6))\/sqrt(2) + (sqrt(36)*-2 + sqrt(36))\/sqrt(12) - ((sqrt(3)*-3*-3)**2 + (sqrt(36)\/sqrt(3))\/sqrt(4))).\nAnswer: -243 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910.\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 10409\nAnswer: -31227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1944000 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -15. Let h = 10 + -6. Let v = d - h. Which is the third smallest value? (a) 5 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2. Let s(t) = -t**2 + 5. Let q(m) = 5*i(m) + 2*s(m). Let d(v) = 9*v. Let u(w) = -26*w. Let a(p) = -17*d(p) - 6*u(p). Determine a(q(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h + 2. Suppose 50 = -4*c - c - 5*b, c + 16 = -4*b. Let a(y) = -13*y - 7. Let k(n) = c*w(n) - 3*a(n). Let i(u) = u + 1. Calculate 6*i(s) - k(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595143353 to the power of 1\/3, to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.029 and 4.346?\nAnswer: 0.126034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 9*c**2 + 4*c. Let l(r) = -r**2 + r. Let d(o) = -f(o) - 3*l(o). Let z(y) = y**2 + y. Let a(w) = 2*d(w) + 14*z(w). Let j(i) = 6*i**2. Give a(j(h)).\nAnswer: 72*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106195425 is divided by 628?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4736330266217647477\/2602021724591940 - -14422\/18331842501. Let j = 3\/35485 + p. Let f = j - -1841. Find the common denominator of f and -11\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxoo when four letters picked without replacement from {h: 1, p: 4, x: 2, o: 6}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-12*m - 1 + 0*m + 3).\nAnswer: 24*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 891\/4 - 5\/(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -176\/3 - -60. Let t = -62\/39 - -166\/39. Factor b*v**2 - t - 4\/3*v.\nAnswer: 4*(v - 2)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7818)\/(-10)*8\/(80\/(-6)). Let j = o - -469. Calculate the common denominator of j and 37\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -462 + 2326. Suppose 0 = -4*i - u - 1536. Round i to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -7. Let j = 271\/6 - s. Is j >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 424 and 1681796.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121182 is divided by 17251?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/(99\/45*5).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 2*c - 66, 284*c - 563*c - 88 = 5*v - 282*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46415900.\nAnswer: 2, 5, 173, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*v - 3*v. Let m be (v\/(-9))\/(1\/(-6)). Let l(j) = -j**3 - 3*j**2 - 2*j - 4. Let b be l(-3). Solve 4*s - b = 2*z, -s - 4 = -0*z - m*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (9 + -3 + -2))\/(-1). What is the third derivative of 2*d**3 - 25*d**2 + 29*d**4 - 2*d**q - 66*d**4 wrt d?\nAnswer: -888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182680 - 182678 + 365358 - q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01914 rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w**4 + 2*w**3 - 8*w + 7*w**3 - w**3 - 36*w**2 = 0 for w.\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -556615 + -5?\nAnswer: -556622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 9*t**2 - 20*t - 14. Let l be d(14). Let q = l + -3905. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5489535509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 407*s. Let u(q) = 25*q**2 + 33*q**2 + 16*q**2 - 75*q**2. What is u(n(j))?\nAnswer: -165649*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -829, -840, -865, -910, -981, -1084, -1225, -1410?\n\"Answer: -k**3 - k**2 - k - 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.4. Let l = -27344\/11 + 2486. What is the nearest to c in -0.05, l, -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = -4*o + 19, -3*f = -4*o + 7. Suppose 0 = o*x - 609030 - 9692774. Suppose -4*q - x = -20575451. What is q rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**2 + 1 + 58*h**3 + 2*h**4 - 57*h**3 + 1 to the form l + a*h**4 + s*h**2 + x*h**3 + d*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(6\/11)*m**(-2\/11))\/(m*m*m**(4\/3)\/m*m*m**(-5)\/m))\/((m\/(m*m\/(m**(-1)\/m)))\/m**(-3\/4)*m**(-2\/3)*m**(-1)) assuming m is positive.\nAnswer: m**(917\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 - 116. Let h = -4094 - -8187\/2. Let m = 0.3 - 0.2. Which is the closest to m? (a) h (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 - 5\/7. Let c(y) = y**2 + 10*y + 10. Let w be c(-8). Let k be (w\/(-28))\/((-21)\/28). Is k at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21219, 42469, 63719, 84969, 106219, 127469?\n\"Answer: 21250*v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**23\/k)\/(k\/k**(-1\/3)) assuming k is positive.\nAnswer: k**(62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1729785015 to the nearest integer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -565*f - 43. Let a = -103 + 101. Is x(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*m - 79*m - 2*h = -7371588, 7371584 = 4*m + 3*h. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24140 is divided by 116?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, -0.4, 17.23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1216\/4321 - -30\/149. Let w = -1\/58 - j. Let t = 0.2 + -0.3. Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2190.503ml?\nAnswer: 2.190503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10596 + 10614. What is the remainder when 1474 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s - 6 + 0*s)*(2 + 4 + 3).\nAnswer: -18*s - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-68)\/(-195) + (-232)\/(-4524). Factor -c*r**2 - 12\/5*r + 0 + 2\/5*r**3.\nAnswer: 2*r*(r - 3)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.96 - -159\nAnswer: 152.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 5*d - 1 + d**2 - 2 + 13*d in the form g + w*d + v*d**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**3\/3 - 4*k**2 + 12*k + 1. Let i = -13 + 4. Let h be c(i). Is h smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4060 and 126?\nAnswer: 36540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(20)\/sqrt(4))**2 - (1*sqrt(20))\/sqrt(4)) + -2 - ((sqrt(720) - (sqrt(720) + 0 + sqrt(720) + -2)**2) + sqrt(720) + (5*sqrt(720)*-2)**2).\nAnswer: -69148 - 121*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-56)\/(-42)*(7990\/8 + 2\/(-1)) is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 - 3*p. Let d be a(2). Find the third derivative of -z**2 - z**6 + 2*z**d - 3*z**2 wrt z.\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - b - 28 - 35, 12 = 3*b. Suppose -15*x - 6 = -18*x. Suppose x*g = 4*m - 3*m - 41, g + c = 2*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/(t*t**(-23)*t*t)*t**(-1\/28)*t*t*(t**(-10)\/t)\/t*t*t**28\/t assuming t is positive.\nAnswer: t**(1119\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.05 rounded to zero dps?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179 + 187. Let d(m) = 4*m - 35. Let u be d(y). Put u, -2, 5, -5 in ascending order.\nAnswer: -5, u, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 8 - (1 - -1)) + (36 - -5) - -5.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30869568 and 1476.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -1534, -3861, -7118, -11311, -16446?\nAnswer: -22529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 2)*2 + 0. Suppose 0 = o*p + 2 - 14. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 b when four letters picked without replacement from dbbbbbbbbbbbbbbdbb.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36\/3)\/(-4))\/(((-12)\/2)\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0106 + 0.0894. What is the nearest to -2\/5 in p, -1, -0.5, 21\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 304 = -24*l. Suppose 0 = -2*o + d + l, 2*d + 34 = 5*o - 15. Let u(h) = 2*h - 18. Calculate u(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 2. Let v(m) = -4*m - 7. Let o(t) = 7*h(t) + 2*v(t). Let n = -984 - -987. Give o(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1837693*l + 3675402*l - 1837699*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d + d + 0*d + 2*d**2 - 5*d**2 + d**2 + 0*d**2 + (1 + d - 1)*(-2 + 2 - 2*d).\nAnswer: -4*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 728\/(-6136)*(6\/7)\/(-3).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 18*o**2 + 14*o + 24. What is the units digit of t(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54\/10 - 6\/15 - -1. Let g be (-18009)\/c - 9\/(-6). Round g to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(78)\/(2*(sqrt(6) + sqrt(12)\/sqrt(2)) - sqrt(6) - sqrt(6)).\nAnswer: -1 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1268)\/228 + (-56)\/532. Which is the smallest value? (a) u (b) -6\/11 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 7*v - 12*v - 4*z, -v - 5*z = 13. Calculate the remainder when v + -1 - (-59 + 6 + -1) is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.1. Let b = -16\/173 - 266\/865. What is the closest to b in -0.11, d, -3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000081809308 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 561*a - 21. What is m(-1)?\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v - 6*v + 48*v + 2 - 5*v.\nAnswer: 59*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4 + (-1)\/(-2). Let w be 52\/39 - k\/(-3). Suppose 0 = -w*c - 8, -2 = -4*d - 3*c - 18. Let s(i) = -11*i + 1. What is s(d)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 15 - (18 - 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + 7)\/(2\/6). Let c = 4 + j. Let l(w) = -6 - 9*w**2 - 1 - 7 + 13 + w. Give l(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.476, 3\/5, -8, 2\/19 in ascending order.\nAnswer: -8, 2\/19, 0.476, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/1327 in 2\/3, -2, -26\/735?\nAnswer: -26\/735","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -60\/31231?\nAnswer: -60\/31231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 - d + 246. Let g(j) = 2*j**2 + j - 3. Calculate 2*g(a) + x(a).\nAnswer: a**2 + a + 240","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2363802904 + 5\nAnswer: -2363802899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -2 - (-217 + 160 + 58)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 5*f**2 + 2. Let s be a(-5). Let z be 3\/(-3) - (-6)\/s. Suppose -z*g = -6 - 8. Solve 3*r = g - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22456 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: Evaluate (12\/(-36))\/(12\/(-27)*-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3771586 is divided by 50287?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2488 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3614, 4138, 4662, 5186?\nAnswer: 5710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + y + 870*y**2 - 201*y**3 - 870*y**2.\nAnswer: -201*y**3 + 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8624025 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 0. Let q be -12 - -8 - (1 + 1). Let s be ((-8)\/40)\/(2\/5). What is the biggest value in q, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*h = 0, -5*l - 3*h + 19 = 3. Suppose -l*n - 6 + 0 = 0. Let x be n*(-4)\/(-6) - -3. Is x > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-6)*62\/(-341)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9312 is divided by 1964?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) 5 (b) -2\/23 (c) -1\/3 (d) 4 (e) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 54. Find the common denominator of (-123)\/(-72)*(1 - -1) and 21\/(-28)*(-53)\/s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-1)\/(-10)*1). Let s = 5 + m. Let a(i) = -i**2 + 6*i + 2. Let n be a(6). Sort s, 3, n in descending order.\nAnswer: 3, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 390.801 + -391. Let y = 0.19866 + b. What is y rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*d - 30, -2*v - 12 = 3*d. Put -160, -6, v in increasing order.\nAnswer: -160, -6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8639282, 8639281, 8639280, 8639279, 8639278?\nAnswer: 8639277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89564 divided by -149?\nAnswer: -89564\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 - ((-131 - 17) + 130).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -127, -255, -405, -589, -819, -1107, -1465, -1905?\n\"Answer: -2*s**3 + s**2 - 117*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 42 + 25)*(21631 - 21631 + 59*t**2 - 2*t**4).\nAnswer: 24*t**4 - 708*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46022 and 57897.\nAnswer: 2664535734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -12*l**2 - l - 10. Let k be g(-3). Let c = 115 + k. Solve -3*y = -3, c = -v - 4*v + 4*y - 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i = -11*i - 30. What is the remainder when 39 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w**2 + 17 + 5*w - 4*w**2 - 16 - 2*w**2. Let z be 12\/9*6\/(-2). Let o(y) = -y**2 - 4*y - 4. Let q be o(z). What is s(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 4*k. Let q(i) be the third derivative of 0*i**3 + 5*i**2 + 0 + 5\/24*i**4 + 1\/60*i**5 + 0*i. Give 3*l(n) - 2*q(n).\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/29? (a) 2 (b) -2\/9 (c) -11 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - 132 + 128 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**2 - 9*c - 4. Let g(y) = 11*y**2 - 19*y - 9. Suppose 5*a = 2*t + 65, 5*a + 3*t = -16 + 81. Calculate a*q(f) - 6*g(f).\nAnswer: -f**2 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 4*q**2 - 23*q + 34. Let y(a) = -23*a + 71. Let g(u) = -7*n(u) - 2*y(u). Find the first derivative of g(d) wrt d.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-45))\/(-4*(-21)\/30).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6886291 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78151\/25 or 2\/109?\nAnswer: -78151\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from ukburey.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*t - 35. Suppose -n + 0*n = 4. Sort n, t, 3.\nAnswer: n, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sixteenths of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/29))**(-2\/19)\/((a\/(a\/(a**(-24)*a)))\/a**(1\/5)))**(-1\/35) assuming a is positive.\nAnswer: a**(-63936\/96425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 267 and 1370911681538.\nAnswer: 1370911681805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-99)\/(-21))\/(3\/7)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**2 - 161*v + 1985. What is a(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101110 + -10?\nAnswer: -101120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/18282 and -99\/4.\nAnswer: 36564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, i: 3, y: 3, b: 4}. What is prob of sequence yyyx?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + o**2 + 10. Suppose 6 = 3*z + 2*y, 2*y = -5*z - 0*y + 6. What is the smallest common multiple of v(z) and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1123 + -1118.932. Round d to one dp.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33.14 * -0.31.\nAnswer: -10.2734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9950 or 9951?\nAnswer: 9951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 39. Suppose k = -5*c + 22 + n, 5*c = 5*k - 105. What is the third derivative of 24*a**3 - k*a**3 + 19*a**5 - 11*a**2 wrt a?\nAnswer: 1140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c = -28 - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (5 - 0 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -4 (c) -2 (d) -26 (e) -105 (f) 4 (g) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = -2*q + 2*q + 4*n - 6, 15 = 72*q - 71*q - 2*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 399501.\nAnswer: 3, 44389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005414 to five decimal places.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 35*a**4\/4 + a**3\/3 - a - 4. Is v(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/5 in 52, -0.4, 4\/9, -30, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - 0) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*d - 12, 5*d - 3 - 12 = -5*m. Suppose 3*t + 4*r - 27 + 6 = m, 3*r = 9. Calculate the least common multiple of t and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) 1\/13 (b) -219\/392 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10012606 and -1?\nAnswer: 10012605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10807965 is divided by 965?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**3 + 17*p**2 + 15*p - 7. Determine t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -6. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17672.32 micrograms to milligrams.\nAnswer: 17.67232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 12. Let a(n) = 2*n**2 + 3*n + 3. Let v be a(x). Let i be 224\/v*(-6)\/(-4). Solve -3*f + 3*b = 24, 4*f - 2*b - 2 = -i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12154, -45033, -99830, -176545, -275178, -395729?\n\"Answer: -10959*g**2 - 2*g - 1193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 8*q = 3*d + 3, 4*q = 5*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 82 (b) 0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (6 + (8 - 16 - 2) + -11)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**5 + 10*t**3 - 10*t**3 + (-5*t**2 + 2*t**2 + 4*t**2)*(-2*t**3 + 0*t**3 + 0*t**3) + (951*t**4 - 951*t**4 - 83*t**5)*(1 - 4 + 1).\nAnswer: 171*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 130, 380, 742, 1216, 1802, 2500, 3310?\n\"Answer: 56*j**2 + 82*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 142?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5464 = 5*w - 5*l + 18541, l = 2*w + 9602. Let v = w + 10298. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 5:57 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -188 and -2960.\nAnswer: -3148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rar when three letters picked without replacement from {a: 11, r: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 794 or 38407?\nAnswer: 794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/9 + 563*l\/9 + 79060\/9.\nAnswer: (l + 268)*(l + 295)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyewwvvlewvewvyv. What is prob of picking 2 e?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 11207\/43?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllo when four letters picked without replacement from lllllllllllllllllo?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 91\/(-26) + ((-3)\/6 - (-28)\/8). Which is the closest to 2? (a) 0.037 (b) 5 (c) s (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*s - 17 = -295*s + 4*v, 0 = 5*v + 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6225, -6226, -6227, -6228?\nAnswer: -6229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5 + 18*u**4 + 89*u**3 - 18*u**2 - 88*u = 0.\nAnswer: -4, -1, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 6*f - 4. Let k(v) = v + 1. Let b(y) = 3*k(y) + w(y). Give b(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*m + 1393 + 1382 - 2795 to the form u*m + s and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upgpppgpg. What is prob of picking 2 g and 2 p?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1000000011001111100011?\nAnswer: 1000000011001111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*i**2 - 42*i**2 + 23*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 512460 divided by -4745.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*y = -9200, 0 = -4*u + 149*y - 146*y + 36830. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100100 + 111111010010?\nAnswer: 111001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18890566 by -9445283.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 343795.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus -1666114.139632?\nAnswer: 1666113.339632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-88)\/121)\/((-2)\/11). Solve -2*q - 3*r = d + 19, -q - r - 9 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56\/3 + 18. Which is the nearest to g? (a) -3 (b) 10 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (10 + -16 - (-2*12)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 657615, 1315307, 1972997, 2630685, 3288371?\n\"Answer: -y**2 + 657695*y - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14028 and -0.091?\nAnswer: 0.01276548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + 9*f. Suppose 10*v - 68 + 48 = 0. Let m(r) = 164*r**v - 79*r**2 - 83*r**2. Calculate z(m(t)).\nAnswer: -20*t**4 + 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37721741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -255 - -147. Let t = r - -113. Let f(v) = v**2 - 7*v + 5. Calculate f(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o + 2*o**2 - 3*o**3 - 8*o + o**3 as v*o + u + h*o**2 + s*o**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 3. Let n(w) = -12*w - 9*w + 14*w + 12 - 1. Suppose 3 = -3*s, -2*o - 2*s - 16 = 2*s. Suppose -24*q + 506 = -47*q. What is o*n(f) + q*p(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25019413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**4\/15 + 904*g**3\/5 + 919368*g**2\/5 + g - 161. Find b such that r(b) = 0.\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 + 2*c**3 - 3*c**3 - 2 + 2 - 2*c**3 + (0 - 1 - 1)*(0*c**2 + 2*c**3 + 0*c**2) + 4*c**2 - 4*c**2 + 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 95901546, 191803092, 287704636, 383606178?\n\"Answer: -o**2 + 95901549*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (135\/6 + -23)*(1 - 11). Let z = -1 + 1.1. What is the nearest to z in -1\/2, r, -11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c**2 + 12*c. Let b(d) = -d**2 - 2*d. Let u(l) = 6*b(l) + h(l). Let r(m) = 1100*m**2. What is u(r(n))?\nAnswer: 3630000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -1 (b) 11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7387 + 10698. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/22*11*(-9)\/(-84).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 4*p = 10, 2*x - 5*p = 3*x - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvvu when four letters picked without replacement from eccucouuuvuvuv.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**3\/3 + 5*p**2\/2 - 6*p + 1319. Find g, given that h(g) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9735354295\/42 - 231808401. Let x = 14247 + q. What is the common denominator of -17\/60 and x?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-85)\/(-10) + 0)*(-2)\/(-1). What is the highest common factor of n and 8517?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10 - 30 + 0*r + 7*r + 85 + 14*r. What is a(-8)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6722 a factor of 1343055600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l. Let i(r) be the third derivative of -r**5\/20 + r**4\/8 - 11*r**3\/3 - 8*r**2. Let q(k) be the first derivative of i(k). What is q(a(g))?\nAnswer: 6*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14641\/836 + -12 - (-1 + 21\/14) - 5?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16c51 (base 13) to base 7.\nAnswer: 241543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 take away 0.2?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 7)*(5 - 5*g - 5) - 1 + g + 1 to the form i + b*g and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3935 + 20*(-3)\/(-30)*(1 + 0)?\nAnswer: 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 3*o - 1 - 6 + 7.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 3 = 2*v - 3*x, 5*v - 13 = 3*x. Let z be (-33)\/(-4 + 1) + (-3)\/(-3). Suppose -v*l = -4, 0*k - 3*l + z = k. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1807142 is divided by 225884.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13790 - -13793. Solve -220\/3*a - 55\/3*a**q + 5\/3*a**5 + 10\/3*a**4 - 200\/3*a**2 - 80\/3 = 0 for a.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 + 244*u + 1108. Determine q(65).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 845216059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*q + 18*q - 9*q**2)*(-300 + 292 + 179).\nAnswer: -1539*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.025597, 1, -0.3, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276*j**2 + 276*j**2 + 334*j**2 + 277*j**2 - 1159*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91767 + -91765. Factor 2\/3*c**3 + 2\/3 + 7\/3*c + 7\/3*c**a.\nAnswer: (c + 1)*(c + 2)*(2*c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198072 and 2794230?\nAnswer: 78238440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/396468548 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Let h be (-23)\/7 + (-2)\/(-7). Let q be 12\/h + 3 + -2. What is the closest to 1\/4 in q, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 800\/(-125)*20\/(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26.1? (a) 6\/47 (b) 0.5 (c) -1.64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 502, 481, 444, 391, 322?\n\"Answer: -8*l**2 + 3*l + 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088.9 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2415 - 1689 = -57*o. Let r(q) = 69*q**2 - 6*q - 2. What is the remainder when r(-2) is divided by o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 322 and 154?\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*d**3 - 216*d**3 - 223*d**3.\nAnswer: 21*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*y + 358799 = -3688405 - 1334248. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1885*j**2 - 568868 + 284437 + 284430. Let l(x) = -2*x**2. Give k(l(u)).\nAnswer: 7540*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 21 = 5*s - 4, 3*j + s = 5. Solve j = u + 3*u + 2*d + 16, 4*d = -16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8*w**2 + 29663*w - 207686. Give y(7).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 170?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*k - 49 = 0, 2*k = r - 15 - 2. Solve -13*s + r*s = 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11748 (base 9) in base 16?\nAnswer: 1edd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**4\/21 - 32*k**3\/7 - 1152*k**2\/7 - 112*k. Factor n(o).\nAnswer: -4*(o + 24)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26919?\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -l - 8, -4307*l + 4308*l = 3*j - 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 32. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30061 - -30065. Calculate the remainder when 3280 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -2\/11, 2, 43, -6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15*x**2 + 126*x + 35. What is the remainder when 581 is divided by l(7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(605) + sqrt(605) + sqrt(605) + -1 + 0 + (sqrt(605) + 2 + -3 - sqrt(605)) + sqrt(605))**2.\nAnswer: -176*sqrt(5) + 9680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 4 + (-1 + 1 - 1)*(0 + 2 - 3) + 4 - 5 + 0 + 2 + 0 - 4 - 1 + 1 - 1)*(2*v**2 + v**2 - 2*v**2) - v**2 + 4*v - 4*v.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o**2 - 21*o - 44. Let w be a(-2). Let d(x) = 35 - x - w + 3*x. Let i(q) = 5*q - 7. Determine 9*d(s) - 4*i(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + b + 1. Calculate a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 969 - 542. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7384602 and 3396.\nAnswer: 14769204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 16799949 = z - 5*f, -z = f - 4199994. Suppose 4*y = -3*v - 4199988, -3*v - y - z = 2*y. Round v to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 32\/5 of a millisecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 20, 0 = 41*q - 38*q - 4*l + 20 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -108, 11 in decreasing order.\nAnswer: 11, -10, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 1)*((-896)\/12)\/(-16). Solve 0 = -7*m - 21 - f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36347552 to the nearest integer?\nAnswer: 6029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 78*a**2 - 311*a + 7. What is f(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 4. Let y be r(6). Let p = 21 - y. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4008?\nAnswer: 2, 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o - 9. Let y be p(3). Let k = 194 + -190. Calculate the greatest common divisor of y and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(720))**2.\nAnswer: 144*sqrt(5) + 6484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325139 = 10*g + 115209. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2388 at least -2388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 5009 = -5069 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -11*x + 24. Let n(d) = -1. Let i(u) = -55*u**3 - 10*u**2 + 55*u + 7. Let y(q) = x*n(q) - i(q). Factor y(m).\nAnswer: 5*(m - 1)*(m + 1)*(11*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 (base 15) in base 11?\nAnswer: a51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = x - 5, -4*x - 2*r - 2 = 3*r for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t**2 - 4*t + 188. Calculate o(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -304 or -6027?\nAnswer: -6027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = -14*d - d. Let m = -35 + 90. Let y = m - d. Calculate the greatest common factor of 36 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*p + 71*p = 15. Let g(i) = -31*i - 55. What is the remainder when g(p) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2221 + 9332 + 0*u + 2*u + 12327.\nAnswer: 2*u + 19438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -252431, -505883, -759335?\nAnswer: -1012787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3033615*q**4 + 1428048*q?\nAnswer: -36403380*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-22)\/4*-1 - 156\/(-104) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2090 - -2090.02282. What is h rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*n - 28*n - 6 + 19*n)*(26*n - 37*n - 37*n) to l*n**2 + m*n + t and give m.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 + 5*j. Let g(i) = i. Let s(q) = 30*g(q) - 6*k(q). Suppose -16*o + 17*o = 2. Let p(y) = 4*y**2 - 7*y**2 + 2*y**2 - y**o. Determine p(s(h)).\nAnswer: -1800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -0.4 (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (((-2*sqrt(1088) - sqrt(1088)) + sqrt(1088))*-3 - sqrt(1088) - (sqrt(1088) + 0)*-5)*-6) + 4.\nAnswer: 29 + 2400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 627\/13585*(24 + -23).\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -6173\/30*m**6 + 0 + 3\/8*m**4 - 15*m**2 + 3*m**3 - 1\/12*m**5 + 0*m. Let n be q(-9). Round n to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express g**4 + 2 + 0 + 146640*g + 9*g**2 - 3 - 146639*g - 7*g**4 - g**3 as n*g + x*g**3 + l*g**4 + b*g**2 + s and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 12 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8782069 millimeters?\nAnswer: 878206.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1169.1 or 6?\nAnswer: 1169.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + b3?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4\/3 + 73*r**3\/9 - 325*r**2\/3 - 433*r - 132 = 0. What is r?\nAnswer: -33, -3, -1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4\/2 + 581*x**3\/2 - 803*x**2 - 128260*x = 0.\nAnswer: -583, -20, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 923 or 921?\nAnswer: 921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 5*q**3 - 3*q**3)*(-3*q - 2*q + q)*((0 + 3 - 1)*(15 + 6 + 3) + 3 + 2 - 3).\nAnswer: -600*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c - 10. What is the remainder when (-52)\/6*-1*3 is divided by j(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-3 + 0))\/(-1). Let i(m) be the first derivative of 2 + x*m + 0*m**2 - 2\/3*m**3. Let f(u) = 5*u. Give f(i(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 520*u**3 - 9*u**2 + 9*u + 3. What is the hundreds digit of v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -164\/657 - -2\/73. Let u = 2468\/7 - 352. Let y = 0.9 - -0.1. Which is the closest to g? (a) y (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 416065185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162 - 181 - (-13 + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43152076*t**4 + t**3 - 776001623*t**2 wrt t.\nAnswer: 1035649824*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158096 is divided by 3098.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of (216\/18 + 41453)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4 + 8 + m + 2*m. Let q be s(-2). List the prime factors of 8\/(-4)*23\/q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 21 + -15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69 - (-27 - (-27 - 83))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 20 - 12 - 9. Let u(x) = 2*x**2. Determine -2*o(f) + 2*u(f).\nAnswer: 4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1137006690 to the nearest integer?\nAnswer: 33720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllllllll. What is prob of sequence ll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*y - 24, -3*u + 5*y = -2*u - 8. Let d = u + -6. Find the third derivative of m**5 + m**d - 3*m**2 - 3*m**5 wrt m.\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 51 + 1*(-5 + -1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -361 - 66?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -283140 by -3146.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739040 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + -2 + (1 - -17 - 1). Suppose -d*c = -16591 + 3204. What are the prime factors of c?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b - 5*b + 72 - 11*b - 74.\nAnswer: -21*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -2002.\nAnswer: -1\/1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -8. Let h = w + -7. Solve -1 = -h*z + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 7:50 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) 0 (c) -7945 (d) 5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76) - -3*sqrt(76)))**2*4.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u*x**5 - 33936*u*x**4 - 30*u + 28*x**2 - 1 wrt x?\nAnswer: -120*u*x**2 - 814464*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 93. Let r = -43.92 - w. Which is bigger: 1\/3 or r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 2:30 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13322778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196204*s**2 + 669 - 669 - 2*s.\nAnswer: -196204*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 15 = -6. Suppose -5*h + 5*b + 431 = -h, 0 = -d*h + 5*b + 322. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 - 3 + 3)*(-c**2 + 2 - 2) + 142*c**4 - 7*c**4 - 18*c**4 to u + q*c**2 + k*c + s*c**3 + b*c**4 and give b.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((14 - 5) + -3)*(0 + 15). What is the lowest common multiple of (20 + 0)*(b\/12 - 6) and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279623859 to the nearest integer?\nAnswer: 16722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 143435*l + 4159609. Give c(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 238*j**2 + 124. Let a(s) = -4*s. Calculate a(t(w)).\nAnswer: -952*w**2 - 496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1457 - -1459. Let b(w) be the first derivative of 1\/2*w**n + 0*w + 5. What is b(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 2}. Give prob of picking 2 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4914988.\nAnswer: 2, 13, 31, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**31)\/(r\/((r*r\/r**(-3\/7))\/r)))\/(r\/(r*r*r\/(r**44\/r)*r*r)*r**(4\/15)\/r))**(-21) assuming r is positive.\nAnswer: r**(7123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-98)*(-16)\/((-544)\/119)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 290571255 divided by 585?\nAnswer: 496703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -165, -114, -5, 73 in descending order.\nAnswer: 73, -1, -5, -114, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2508\/(-3192)*2\/(109 - -1).\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 183811 (b) 53 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 39 + 16. Let m be 2\/1 - (t + -11). Suppose b - s = 0, 1 = -m*b + 6*b - 3*s. Solve 2 = -w + b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11414240 (base 5) to base 15\nAnswer: -21c80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2466 + -9863\/4. Which is bigger: o or 1148?\nAnswer: 1148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-282)\/(-9))*(-11)\/(-88)*-36\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5262.749 times -5?\nAnswer: 26313.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 5*d - 5*d)*(-d - 2*d - 3*d)*(d + 4 - 2 - 3*d).\nAnswer: -24*d**3 + 24*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 49606*b - 99236. Calculate x(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-4 + 2) - (17 + (-3852)\/120)?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-15))\/((-6)\/(-15)). Is (-91)\/(s - 4) - -2 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59523.34 rounded to the nearest one hundred?\nAnswer: -59500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17dc8d - -2?\nAnswer: -17dc8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13977 is divided by 6952?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07471438 to 4 dps.\nAnswer: 0.0747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -4 (c) 3\/22 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-105)\/(-10) + 4\/(-8). Suppose 4*y - 14 = l, 3*l - 3 = -5*y + 40. Solve -l*t = -d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -897023 divided by -7.\nAnswer: 897023\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 2, a: 2}. Give prob of sequence haa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, c: 9, u: 3, i: 3}. What is prob of picking 3 u?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*p**2 + 5*p**2 - 88*p**2)*(-1 + 1 - p**3) - p - 3*p**5 + 3*p + 4*p**5.\nAnswer: 151*p**5 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t**4 - 130*t**3 + 128*t**2 + 130*t - 129 = 0. Calculate t.\nAnswer: -1, 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 8*n - 4*v + 53, -265 = -5*n + 3*v. Which is the closest to -1? (a) 6\/11 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a + 5. Let r be h(4). Let n = r + 43. Calculate the highest common factor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2299) + (sqrt(2299) - sqrt(2299)*4))**2 + 0.\nAnswer: 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5121 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*w - 65. Let r = w - -14. Let m be -4 + r + (2 - -4). Solve 2 = m*f - d, -7 = 4*f - 4*d + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 4*m**2 + 5. Let g be k(-4). Suppose -g*a + 14 = -16. Find the common denominator of 3\/5 and ((-65)\/(-18))\/((-3)\/a).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44 - 515a?\nAnswer: -519e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.3 + -4. Which is the second smallest value? (a) g (b) -0.9 (c) -1 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 at most as big as -2\/321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4) + (-7)\/(-2). Let t = -11 + 8. Let i(b) = -b**3 - 2*b**2 + 4*b. Let j be i(t). Sort j, d, 3 in decreasing order.\nAnswer: d, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1216124 = -1216131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*n*q + 35*k**2*n + 25284*k**2*q**2 + k**2 - 2*k*n - k*q**2 + 13416337*q**2 wrt k.\nAnswer: 4*n*q + 70*n + 50568*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3938917001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 2*(sqrt(3) + sqrt(75)) - -4*sqrt(3)*1)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1566*f**3\/7 - 771*f**2\/7 + 6*f\/7.\nAnswer: -3*f*(2*f + 1)*(261*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011831734 to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15376 and 139824?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 8*j + 124. Determine m(-17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c**2 + c. Suppose 0 = -t - 4*t + z + 18, 0 = t + z - 6. Suppose 5*h + t = 3*h. Does 10 divide r(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**7*u*u**(1\/2)*u*u*u*u\/u**1*u**(-1\/5) assuming u is positive.\nAnswer: u**(123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) -22 (c) -0.01 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 divided by -159?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.1 - -25.9. Let b = 32.77 - 1.77. Let o = b - c. What is the second smallest value in 3\/17, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111001100 + 11?\nAnswer: 1111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of ((-80)\/(-6))\/((-4)\/(-618))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1121*r + 709*r - 93*r.\nAnswer: 1737*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 385171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - j - 3*j + 100, 2*j = 2*n - 38. Suppose -4*a + n - 2 = 0. Solve 0*u + 25 = -a*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b8 - -3?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -131)\/(660\/(-2)). Let h = l + 1\/66. Suppose 0 = -4*p + 7 - 27. Which is the biggest value? (a) h (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1257 + 17587\/14. What is the common denominator of o and -34\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112718 is divided by 1464.\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59637776 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) -4\/9 (c) -1\/3 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 22 times -0.876\nAnswer: -19.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 14. Suppose 3*f = 5*f - k, 2*f = -3*q - 5. Put q, 3, 5 in increasing order.\nAnswer: q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 0.3, -1\/8, -5, 2 in ascending order.\nAnswer: -5, -1\/8, 0.11, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqmqvjvqqqqvmvm. Give prob of sequence mqm.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*r + 3*r. Let c be ((-3576)\/48 + 29)*(-6)\/39. Solve -c*i = -r*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, o: 7}. Give prob of sequence oyy.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 7130.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 9:12 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*2\/(-4) + 76. Suppose 0*x - 2*x = -s. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/4)\/(1 + 25\/(-30)). Which is the nearest to -0.4? (a) -1\/8 (b) u (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j. Let x(f) = 10*f. Calculate 10*v(t) - 6*x(t).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = -0. Let w(z) = -16*z - 7. Let v(d) = 47*d + 20. Let c(n) = -6*v(n) - 17*w(n). Let o be c(s). Round o to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-3))\/(2\/(-72)). Suppose 0 = 3*c - 126 + n. Calculate the highest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -6*o + 4. Suppose o*u + 10 = 0, 2*a - 17 = 5*u + 16. Suppose -2*w - 15 = w. Sort a, 0, w in decreasing order.\nAnswer: a, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1458*b - 4338. Let d be q(3). Solve -384*a + 396*a - d = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87 + 117 - i**2 - 3969*i - 46 + 3971*i to the form o*i**2 + q + y*i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.35774 - -3.33743. Let f = 2.17531071 + m. Let i = f - 0.155. What is i rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.2 + 2.2. Let o = 5 + -4.7. What is the third smallest value in o, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1451 is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 2*m - m + 2*m + (1 - 4 - 1)*(3*m - 3*m + 2*m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95229 divided by 95229.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 3*j**3 + 3*j**3 - 4*j**3 + 3*j**4 - 4*j**4 as q*j**2 + g*j + o*j**3 + k + x*j**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + p = 5*z - 10, 0 = 5*p - z + 74. Calculate the common denominator of p and 33\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37.17*0.34\nAnswer: 12.6378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*p - 799 = 2*p - 309 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65087, 64874, 64661, 64448?\nAnswer: 64235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1629 + 2410. Let v = -609 + s. Calculate the highest common factor of 215 and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p, -5*u + 0*u = -p - 250. Let a = 113 - u. Suppose -392 = -70*o + a*o. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3096?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 11*p**2 + 12*p + 7. What is the units digit of l(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/51 - (-72)\/34. Suppose -2*v = 4*s + 2*v + 12, v = -3*s - 3. Suppose -p + s + 2 = 0. Do p and n have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**3 - 19*d**2 - 8*d + 20. Calculate n(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 + -3 - -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -712801 less than or equal to -712798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 1:58 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yymeyeeeddef. What is prob of picking 1 f and 1 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 9:19 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202310131001 - -10?\nAnswer: -202310130331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -58848 divided by -14712?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 = 7*x - 3*h - 272, -13*x - 13*x + 25*x - 2 = -234*h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 = -o. Suppose 4*h = -4*x + 24, -5*x + 24 = 2*h - 0*h. What is the remainder when h is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15323416 to the power of 1\/2, to the nearest integer?\nAnswer: 3915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 56) + (-2131 - -2188).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 252 - 1211. What are the prime factors of p?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 114 = 13*l. What is the remainder when l is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1473656 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (118\/(-236))\/(1\/24).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a + 1. Let s be l(4). Let i be (-9590)\/(-26) + (-6)\/s. Suppose -5*f - 4*o = -i - 294, 0 = 3*f + 3*o - 399. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 8790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91205389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 294898*i*z + 5*i - 10291 with respect to z.\nAnswer: 294898*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12)*-1)\/(8\/(-24)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 - z - 1. Let x be s(1). Let u be 46\/48 - 3\/9. Which is greater: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260) - (sqrt(1260) + -1*sqrt(1260) + sqrt(1260) - sqrt(1260)))\/(sqrt(70)\/(sqrt(10)*-6) - sqrt(7) - sqrt(7)).\nAnswer: -36*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (29 - 57) + 68.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3915960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-985300)\/(-120))\/(-167) - (364\/(-24))\/13.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 679709 - 358618. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1057*r + 1061*r - 52 = 0. Let x(t) = 2*t**2 - 6*t + 5. Let h be x(4). Let g = r - h. Solve -2*w = -3*q - g*q - 2, 3*w = -5*q - 35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 19896 - 19849 = -3*s, 21*d = -s - 463 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -9 - 7 - 9*w - 5 + 12. Suppose -5*b + 29 = m - 0*m, 5*b - 25 = 0. Let f(y) = 2 - 3 - 4 + 1 - m*y. Calculate 5*f(q) - 2*x(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 3. Let u = -5 - x. Let t = -11 + 11. Which is the closest to t? (a) u (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 502566*-8\nAnswer: -4020528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 - 10. Let f(a) = 5*a**2 + 11. Let i(o) = 3*f(o) + 4*w(o). Let z(u) = -2*u. Calculate z(i(t)).\nAnswer: -6*t**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 12*l + 12. Let m be f(9). Let q be (-2)\/4 + m\/(-6). Find the third derivative of 1 - 1 - x**2 - x**2 + q*x**6 wrt x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - -84. Calculate the common denominator of f\/28 + (3 - 5) and 49\/(-70)*(-47)\/(-7).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m - 28. Suppose -2*r = -25 + 3. What is the greatest common divisor of m and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13580*j**2 + 10667*j - 5084*j**2 + 3456 + 7477*j - 466*j**4 + 542*j**4 + 1384*j**3.\nAnswer: 4*(j + 6)**3*(19*j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by -9\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2228780 is divided by 29326.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 5*g - 9*b - 16288, 0 = 6*b + 36. What is the thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285558 divided by -13598?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 18*q**2 + 72*q - 26. Determine t(13).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - 3*j + 3*j + (-j + 4 - 4)*(-4 + 5 + 0) + 2*j - 1 + 1 + 2*j - 3*j + 2*j - 3*j - 2*j + 6*j - 4*j + 4*j + 2*j + 4*j - 2 + 4 + 2*j.\nAnswer: 9*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/(-10))\/((-2)\/10). Let l = w + -6. Calculate the greatest common divisor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**5\/30 + p**4\/3 + 35*p**3\/6 - p**2 - 59. Calculate the remainder when l(-16) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2895 by 3.\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -16, 1, 36, 95?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 12:02 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 3*o + 12 = 0. Let z be (2 - o)\/(-1) + -3. What is the common denominator of 151\/12 and z\/2 + 35\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 71*x + 5. Let m be r(5). Suppose -49*u = -46*u - m. Calculate the highest common divisor of 30 and u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 9. Calculate the common denominator of (-131)\/u - (-3 + 2) and 83\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9*(d*d**(-12))\/d)\/(d**(2\/19)*d*d\/(d\/(d*d*d*d**3))*d*d) assuming d is positive.\nAnswer: d**(-230\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20576 - 9696 - 10880 + 1759*n**3.\nAnswer: 1759*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1387*z + 8321. Determine k(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 121302743.35553017 - 34876197.01553078. Let z = -86426583.34 + d. Let u = z + 37. What is u rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/((y*y*y**(-19))\/y*y)*y*y*y)**(18\/5)\/(y**(-31)\/(y*y**(2\/15))) assuming y is positive.\nAnswer: y**(1724\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230991 to the power of 1\/2, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2)**(12\/13)*(o**(1\/2))**(41\/2) assuming o is positive.\nAnswer: o**(629\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1 - 3*p**2 + 3 - 4. Let z(c) = 5*c. Determine x(z(g)).\nAnswer: -75*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/28 + -4)\/(99\/21483)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 5*j**3 + 6*j**2 - 247*j - 6. Let x(n) = -4*n**3 - 5*n**2 + 249*n + 5. What is -5*i(d) - 6*x(d)?\nAnswer: -d**3 - 259*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0077541 rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/4*(-328)\/31980?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820929.\nAnswer: 3, 273643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/3333 - 296635\/6666. Which is the closest to 0? (a) 0.5 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 808*k + 5652. What is r(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -144 + 271. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11f (base 16) in base 9?\nAnswer: -348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9613737286 plus 445.4?\nAnswer: 9613737731.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/4)\/(343\/686)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/9 - 6\/(-9). Solve r = l - 0, -4*x + 3*l + 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**4 + o**4 + o**4 + (-7*o**2 + 0*o**2 - 17*o**2)*(3*o - 3*o - 2*o)*(-76*o + 75 - 75) in the form b*o + y*o**4 + d + j*o**2 + n*o**3 and give y.\nAnswer: -3650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 28 = 5*f, 0 = -0*i + i + 2*f + 9. Calculate the remainder when 185\/(-10)*i\/((-66)\/(-12)) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 198 + -203. Let f(i) = 6*i - 11. Let d(t) = -3*t + 5. Calculate k*d(p) - 2*f(p).\nAnswer: 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-14))\/(1\/(-4)). Let b be (6\/(-10))\/(18\/(-10) + 2). Let c be b\/5*20\/(-12). Which is greater: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5194 - 2744. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.111+2\nAnswer: 2.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 0.2. Suppose 6 = 3*h - o + 4*o, 2*h - 7 = o. Which is the closest to 0? (a) -4 (b) h (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 3*n**5\/5 - 7*n**2 - 6. Find the second derivative of r(j) wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 103*y**2 - 2272*y + 166. Determine x(-71).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 202 = 1373. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117783.5l to millilitres.\nAnswer: 117783500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*k + 2 = -35*k. Suppose 2*x + x = 96. Calculate the remainder when x is divided by (k*-3)\/(41\/(-123)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 13\/40*u**6 + 44*u**2 + 0 + 0*u**4 + 0*u + 32\/3*u**3 + 0*u**5. Find the first derivative of i(c) wrt c.\nAnswer: 117*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, z: 3}. What is prob of picking 2 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762697467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 22375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -175.22 and 0.07.\nAnswer: -12.2654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410270451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9018 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 - -31122?\nAnswer: 30321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 270\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 5*p + 65, 5*p - 27 = w - 10 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -403*p + 1032. What is j(5)?\nAnswer: -983","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 31704, 5.\nAnswer: 5, 35, 31704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3190 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6793064 rounded to three decimal places?\nAnswer: -0.679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 445440 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*k + 5)*(3 + 0 - 2) - 212*k + 434*k - 221*k - 180.\nAnswer: 3*k - 180","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616*x - 3445*x - 1352*x - 1827*x - 1917*x.\nAnswer: -7925*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408394574.\nAnswer: 2, 3, 47, 554923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 406*y**2 + 406*y**2 - 1213*y**2 + 3 + 402*y**2 + 8*y. What is m(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (423\/(-3948))\/(15\/(-8680)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 0*x + x)*(-3 + 4 - 2)*(-59*x + 43*x - 29*x).\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -5251, -4, 0 in descending order.\nAnswer: 31, 0, -4, -5251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2189, 34305, 66421?\nAnswer: 98537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 14. Suppose -15*q = -8*q - 35. Solve 2 = -q*i - o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from wkvvudjdu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4 + 867*j**3 - 9380 with respect to j.\nAnswer: -4*j**3 + 2601*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - g + g - 4*g**3 as j*g**3 + i*g + n*g**2 + z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 + -166. Let j(g) = g**3 - 36*g**2 + 60*g - 111. What is the units digit of j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**4 - 7*s**4 + 8*s**5 + s**5 + 2*s**5 - 2*s**5 + (0 + 0 - s)*(0*s**2 - s**4 + 0*s**2) - 2200*s**3 + 4375*s**3 - 2173*s**3 + 163*s**5 + 26*s**2.\nAnswer: 173*s**5 + 2*s**3 + 26*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -7) + 29 + -31\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 7*l - 38. What are the prime factors of 3\/2 + (-6859)\/l?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 28. Let s = 8 + l. Let w = s + -3. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750.263125 rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 35 - (31 + 0)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37\/7 + 347\/63. Which is the third smallest value? (a) w (b) -6\/13 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97\/415 + 36\/83. Which is the third biggest value? (a) 2 (b) g (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*w - 18 - 251 - 116*w to the form h*w + v and give v.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 32 + -21 - ((-43 - 0) + -1).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624*y + 42 = 42. Sort -1735, -1, y in descending order.\nAnswer: y, -1, -1735","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (0 - -73) - ((-19 - -4) + 28)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 3*c - 14. Let h be y(6). Solve 4*g = -2*x - 4, -4*g - 1 = h*x - 3*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j - 6 = 0. Let q(u) = -3*u + j*u**2 + 1 + 0 - u**3 + 0*u**2. Calculate q(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23 + 14 + 3*w**2 + 82 - 77*w**2 wrt w?\nAnswer: -148*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23869848887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 285203065 to the nearest integer?\nAnswer: 16888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.14786 centuries to months.\nAnswer: 177.432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -131.197 rounded to zero decimal places?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 4*d**2 + 2 + 0*d**3 + d**3 - 5*d**3 - d. Let f(m) = 5*m**3 + 5*m**2 + 3*m - 3. Let s(j) = 2*f(j) + 3*z(j). Determine p, given that s(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4015, -8373, -12583, -16573, -20271, -23605, -26503?\nAnswer: -28893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*r - 52 = -37*r. Suppose 4*g = -7 - r. What is the closest to -0.1 in 2\/17, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/6 + 162*p. Let t(u) = -2*u - 175. Give t(x(f)).\nAnswer: -4*f**2 - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, -0.2, -9, 67\/3, 2\/5, 5\/2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 685.6 and 200.\nAnswer: 137120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -y + 2, 11068*f - 11070*f - 5*y - 8 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 138\/17 bigger than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17351 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.24451 litres to millilitres.\nAnswer: 69244.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 19. Suppose 141 + 153 = w*l. Let x = l + -34. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4634740000 rounded to the nearest 1000000?\nAnswer: -4635000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -124 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uue when three letters picked without replacement from uzeuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14)*(-1)\/(-2 - -1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 2. Let i(o) = -12*o**3 - o**2 - 2*o + 7. Let b(a) = -i(a) - 4*n(a). Give b(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5575 + 0.2575. Which is the closest to -3? (a) 0.2 (b) o (c) -1\/16 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -11*y**2 + 5276*y - 44843. Calculate r(471).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 32, 176, -208, 1.\nAnswer: -208, 1, 2, 32, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 12*u**2 + 15*u - 80. Give x(13).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 9*g + 10436. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + h - 20. Let t = -131629\/10 + 13175. Find the common denominator of (-134)\/16 - (6 + h) and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*p = 10 - 2, -3*c + 2*p = -23. Put 0, c, -5 in increasing order.\nAnswer: -5, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*q**2 - 6*q**3 + 521*q**2.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - (-4)\/(-8)*6. Suppose l = 2*r - 4. What is d in 3*d**r - 3*d + 9 - 9 - 3*d**2 + 3*d**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 30*u**2 - 22*u. Let c(w) = 2 + w**2 - 2 - w. Let z(y) = -88*c(y) + 4*o(y). Is z(-1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40652 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2 - 1 + 0 + 22*x + 1. Suppose -4*s + 5*q + 9 = 6*q, 1 = -s + 3*q. What is the units digit of z(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0. Let a = 385 - 385.5. What is the smallest value in a, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -380.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13302086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/3)\/((60\/495)\/(-2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0963422 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -82*p**2 + 5*p + 748. Calculate j(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 3*m**2 + 3*m - 2. Let k be i(2). Let x be ((-12)\/(-5))\/(21\/280). Calculate the highest common divisor of k and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17195 and 3310655.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*i + 38*i - 1876 = -4*a, 0 = 3*i - 3. What is the greatest common factor of a and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cb when two letters picked without replacement from cbqcqqcccq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15 = -2*o + 9, 3*o = 2*l - 34. Let v be (-96)\/l - -2 - -2. Which is bigger: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 123*l**2 + 110*l - 348. Is f(-35) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 5)\/((-1)\/(-99)). Calculate the highest common divisor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l**3 - 5. Let i be 5\/((-5)\/(-4)) - -1. Suppose 2*p + 17 = 29. Let k(n) = 8*n**3 + 6. Calculate i*k(f) + p*g(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -309245805 divided by 285\nAnswer: -1085073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbfi when four letters picked without replacement from fibbifibbiibb.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, -153, -0.73, 0, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8)\/(-7)*84\/540 and -52\/435.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/(-8)*8*18\/(-108).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3259 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -199*a**3*t**3 - 28*a**3 wrt t?\nAnswer: -597*a**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -7, -2, -5, 2, -1419, -1.\nAnswer: -1419, -7, -5, -2, -1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409*x - 2824670 = 1816253. Calculate the remainder when x is divided by 227.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7.199213 decades?\nAnswer: 71.99213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 319 and 2001?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/(27*196\/43659).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2128 and 17461?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -503*r - 4575 = -737 + 5719 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 24863 and 24862 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 2\/3, 5, 767\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = -4*d - 5*a, 0 = -4*d - 4*a - 4. Sort 45, d, -5 in descending order.\nAnswer: 45, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*z + 4*k = 12, -4*z - k + 3 = 0. Suppose z = -0*f - 2*f. Suppose f*o - 3*o = -9. Solve q + o*r - 8 + 2 = 0, 2 = -2*q + r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/33*1529\/2085. Factor -q*b + 0 - 4\/5*b**2.\nAnswer: -4*b*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*n + 403*n = -501*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34102 is divided by 1271?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -866*k + 4420. Determine p(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 + -100. What is the units digit of (o + -113)*(34\/(-6) - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.049001 days in weeks?\nAnswer: 5.864143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 116924985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**2 - 8349*i - 8352 = 0?\nAnswer: -1, 2784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5274*f + 5222*f + 1646736. Is 116 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*r, 4*r = -5*j - 0 - 4. Suppose 5*q = -3*t + 230, t = -j*t + 5. Find the second derivative of v**2 + 48*v**3 - v**2 - q*v**3 - 6*v wrt v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = a - 43888, -a + 35111 = 4*j - 0*a. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.3495?\nAnswer: 1.0485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9*q + 3 = -7*q, -q = -t. Suppose 4*b + 4*u = -192, 56 = -7*b + 6*b - t*u. Let v(w) = -2. Let j(c) = -2*c + 44. Determine b*v(m) - 2*j(m).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 1646 + 358. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174*i**5 - 4*i**2 - 179*i?\nAnswer: 10440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17121 is divided by 2479.\nAnswer: 2247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 39 + 2 + (35 - 69)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2 + a**2 + 0*a**2 + 4*a - 4. Suppose -3*v - 17 = -20. Let i be v*(-20)\/(5\/(-1)). Let r(s) = s - 1. What is i*r(b) - g(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + i + i**2 - 6*i**3 - i**2. Suppose 7*g - 5 = 2*g. What is z(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -257, -488, -791, -1154, -1565, -2012?\nAnswer: -2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -7) + -3 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12454076441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 3*b - 44, -11*g + 2*b + 2*b + 47 = -10*g - 10*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 573 - 576. Let j(q) = q**2 + 30*q + 81. Let a be j(n). Let m(z) = z**3 - z**2 + z + 2. Determine m(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -358 (base 13) to base 11.\nAnswer: -488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551 a factor of 18038447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = 0, 1 = z + 2*r. Let i be -1 + (z\/1 - 1). Which is bigger: i or -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141526228 divided by -2?\nAnswer: -70763114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6517204 centuries to decades.\nAnswer: 6.517204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 12 - (-5 - (-9 + 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = t + t. Suppose 5*o = -j + 8*o - 1, -2*o - t = -2*j. Let p be -1*(-2)\/2 + 2. Which is bigger: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 52365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -38 + 0\/2*-1. Let t(j) = -j**2 + 58. Let i be t(0). Let m = r + i. What is the highest common divisor of m and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14717\/22080 + -24*(-34)\/(-1224). Do k and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -1268830174?\nAnswer: -1268830173.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*b - b + 2*u, -3*b + 1 = 2*u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.88624 weeks to nanoseconds.\nAnswer: 16865597952000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9915 divided by 2?\nAnswer: -9915\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-2 + 5\/2). Put 0, o, -5 in decreasing order.\nAnswer: o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 33*j**3 - 507*j**2 + 954*j + 1872. Let z(h) = -8*h**3 + 132*h**2 - 238*h - 468. Let n(c) = -5*u(c) - 21*z(c). Suppose n(y) = 0. What is y?\nAnswer: -1, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110313*g**2 - 510*g**4 - 110313*g**2)*(1 - 2 + 2) - g**4 + 0*g**4 + 3*g**4 + (-1 + 2*g**2 + 1)*(-3*g**2 + 2*g**2 + 3*g**2).\nAnswer: -504*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.8 and 6482.5854.\nAnswer: 6480.7854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13390 + 13390. Let o be ((-2)\/380)\/((-130)\/(-40)). Does f = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-98*o**3 + 53*o**3 + 60*o**3 + 4*o + 3 - o**2)*(-3*o + 2*o + 4*o) to the form u + b*o + q*o**3 + v*o**2 + z*o**4 and give z.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 14. Suppose 40 = -4*p + 4*r, -2*p - 6 = -p + 3*r. Let m be h(p). Let a = 54 - m. Calculate the highest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/(-18) - (1 + -33) and -107\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(351)*2)\/(sqrt(147) + (sqrt(147) - (1*(sqrt(147) - (2*sqrt(147) - sqrt(147))) - sqrt(147)))))**2.\nAnswer: 52\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 n when two letters picked without replacement from znzm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**6\/15 - 56*t**5\/25 - 9*t**4 - 184*t**3\/15 - 31*t**2\/5 + 944. What is n in m(n) = 0?\nAnswer: -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2114*d**3*l**2 + 15*d**2*l**2 - 2*d*l**2 - 38*d wrt d.\nAnswer: 12684*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 850099927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213 is divided by 205.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 303327 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1854, -4108, -6798, -9924, -13486?\nAnswer: -17484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 461037426?\nAnswer: 3227261982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3012 and 1284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -4*g**2 + 27163306*g + 13581654 = 0.\nAnswer: -1\/2, 6790827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14473?\nAnswer: 41, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*j = 3*t + 18, 4*t + 16 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - f. Let d be x(-1). Let p be ((-13)\/(-2))\/(2\/d). Let i = 31 - p. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3, 79 in increasing order.\nAnswer: 0, 3, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1078339.50838 - 1078225.5. Let v = -114 + j. What is v rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1853238913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, e: 9, n: 1}. What is prob of picking 1 e and 1 n?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3033 + 3033 + 45*d)*(0*d + 2*d - d).\nAnswer: 45*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**5*q - 1155*f**4*q - 6*f*q + 2*f - 204*q wrt f?\nAnswer: 20*f**3*q - 13860*f**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzayykkkzkz. Give prob of sequence yzaz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/2 + k**3 - k**2 + k + 1. Let n = 0 + 0. Let z = 2 + n. Calculate b(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -56*c**4 - 402*c**3\/5 + 342*c**2\/5 + 8*c - 24\/5 = 0.\nAnswer: -2, -2\/7, 1\/4, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/20 - 5*h**4\/12 + 7*h**3\/6 - 5*h**2\/2 - 22*h. What is the units digit of n(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.065 + -5.265. Let h = j + 5. Is h bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 1. Let n be j(-3). Suppose -n*s + 40 = s. Calculate the remainder when 22 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 385 and 308?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**5\/60 - o**4\/6 + o**3\/6 + 2*o**2. Let l(y) = y - 3. Let t be l(7). What is the units digit of s(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 157*v + 1101. What are the prime factors of h(25)?\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11666 and 2280?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12121 (base 3) to base 4\nAnswer: -2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 7*l**2 + l + 10. Let v = -8 - -1. Let f be t(v). Let s(o) = 6*o + 15 - 16 - f*o - o**2. Give s(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 30*j - 12 = 28*j, -2*v - 3*j - 20 = 0. Let d = -85 - -84.28. Let s = 0.22 + d. Which is the third smallest value? (a) -4\/3 (b) s (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 6:19 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 2. Let z = g + 2. Let s be (-75)\/(-45)*(-2)\/10. Which is the closest to z? (a) s (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmffmfmfmfmm. What is prob of picking 4 m?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 404632 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-83)\/(19422\/156))\/((-1)\/27)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 7*f**2 + 6*f + 4. Let b be k(-6). Let p be ((-1)\/(5\/b))\/((-2)\/50). Suppose -a = -6*a + p. Let o(l) = -2*l - 4. Calculate o(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-2*p + p + 3*p) - 1033*p - 2447*p - 358*p.\nAnswer: -3842*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = -3*v. Suppose -4*b - 8 = 0, -3*y + 26 = 2*y + 2*b. What is the greatest common factor of y and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151772033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 292 + -357. Let z = i - -66. Let o = 7 - 2. What is the closest to z in o, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55924 and 3858756?\nAnswer: 3858756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23546 * -0.2\nAnswer: 4709.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**2 - 3*n - 3. Let k be d(-2). Let o = -11 - k. Let m(a) = 2*a**3 - a**2 - 3*a + 3. Is 9 a factor of m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 - -151. Let a be -1 + 3*y\/12. What is the highest common divisor of 52 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 44052, 3\/10, -0.5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 182980368*v - 8370453768353856.\nAnswer: -(v + 91490184)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 26348*h - 131640.\nAnswer: -4*(h + 5)*(h + 6582)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16428*o**2 - 8214*o**2 - 8213*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14))**(-48)\/(q**(-13\/3)\/q**25) assuming q is positive.\nAnswer: q**(2104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*l**3 + 13*l**3 - 2*l**2 + 10*l**3 + l + 30*l**4 - 27*l**3 to the form p*l + h*l**4 + k + r*l**3 + b*l**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 5*y**2 + 2*y + 2. Let u be l(4). Let i(v) = v**3 + 6*v**2 + v + 6. Let q be i(u). Is q greater than 3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 19*s. Let t(l) = 11 - 6*l - 8 - 3. Calculate i(t(m)).\nAnswer: -114*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 38. Let y(j) = j**2 - 27*j + 34. Let b(f) = 14*f - 18. Let z(c) = d*y(c) - 7*b(c). Let u(h) = -h**2 + 3*h - 3. What is 10*u(w) - 3*z(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v = 7 + 17 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 84 = 89. Let c be ((-3)\/(-9) - 194\/(-3)) + -3. Let m = c + -73. Put m, -4, v in ascending order.\nAnswer: m, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.88 - -3. Let x = i - 0.08. Let j = -1.17 - x. What is j rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6 = -0*k. Let l be (-12)\/(k - (-8)\/2). What is the tens digit of (3 - 1)*6\/l*-141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9.39+-0.1167824583\nAnswer: 9.2732175417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 5*s - 58. Suppose -2*a + s = -6*a. Let d(c) = -c**3 + c**2 - 2. Let t be d(2). Is t bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 325*w**5 + w**3 + 1013005*w**2 - 1012886*w**2 + 0*w**3 - 1 + 2*w - 2*w wrt w?\nAnswer: 19500*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwqh when four letters picked without replacement from bbwhbwqbqbbb.\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 2)\/((-9)\/(-6)). Let m be k\/1*1348\/(-8). Let d = 626 + m. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2006 and 34751.\nAnswer: 1181534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*a = 639*a - 71*a - 8176 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2\/25 (c) -492 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**2 + 6*s + 36. Let v be q(-7). Let j be 37\/8 - v\/(-376). Put j, 29, -2 in descending order.\nAnswer: 29, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-16)\/(-240)*15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(u - 2*u + 2*u) + 10*u - 6*u - 29*u + (2 - 2 - u)*(-4 + 1 + 2) - u - 6*u + 3*u as m*u + c and give m.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/(-16)*(-72)\/(-3). Let l(w) = -w**3 - 5*w**2 + 2*w - 6. Let u be l(-7). Suppose -2*g = -u - f. Does 24 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/(-98))\/((-18)\/(-120))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3) - 197329\/(-3). Suppose 23*p + j = 205409. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -0.0424?\nAnswer: 3.0424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 4)*(-u - 2 + 2) - 4*u - 12*u + 4*u)*((-u - 2*u + u)*(5*u - 2 + 2) + 6*u**2 - 37*u + 37*u).\nAnswer: 44*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (36\/(-6))\/2. Suppose -x*v + 1069 + 1622 = 0. What are the prime factors of v?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.464 + -0.074. Let u = -0.01 - g. Suppose 2*o = 4*w - 9*w - 7, w = -3*o - 4. Sort -2, o, u in descending order.\nAnswer: u, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 116*x - 12287. Determine q(106).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-10))\/(-1)*-1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156\/(-48) + (-4 - (-68)\/16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**4\/2 + 16159*u**3\/4 - 408493*u**2\/2 + 880737*u\/4 - 19980 = 0?\nAnswer: -1665, 1\/10, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*k - 475*k + 2869 = 0 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 44.8. Let b = g - -14.80000112. Round b to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22415 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((39 - 54 + 26)*(-2 + 2 + 2*w) + (1 - 17 + 3)*(2*w + 2 - 2))*(12*w + w**2 - 2*w**3 - 10*w - 5*w**3) as o*w**3 + m*w + n*w**4 + c*w**2 + q and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -37. Let h be (-1)\/((-1)\/4*1). Put l, h, -4 in increasing order.\nAnswer: -4, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*w = -14, 5*n + 2*w + 0 = 18. Suppose n*u = 3*c - 10898973 - 3681035, 0 = -4*c + 4*u + 19440016. What is c rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 138 = -2*a + 4*a, -2*s + 3*a = -81. What is the greatest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*x**3 - 195*x**2 - 130*x + 45.\nAnswer: -5*(x + 1)*(x + 9)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 62*n - 28*n + 57*n.\nAnswer: 91*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*f**3*w - 1895*f**3 + f*w**3 - f*w wrt w?\nAnswer: -18*f**3 + 3*f*w**2 - f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 18*p**3 - 34 + 92 - 4*p**2 - 28.\nAnswer: -18*p**3 - 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + 7.95. Let a = n + -10. What is the biggest value in a, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3185224.\nAnswer: 2, 7, 23, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -424 or -425?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x + 5313 = 8*x. Let n = -205 - x. What is the remainder when n is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-22)*9 - 4.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(121) + 2*sqrt(121)) + sqrt(121))*-6*-2)\/(-2*sqrt(1100)*2 + -1*(1*sqrt(1100) + sqrt(1100) - sqrt(1100)) + sqrt(1100)).\nAnswer: -39*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 10*k**2 + 3*k + 16. What are the prime factors of d(5)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*d + 1590 = 0, 2*d + 1033 - 4231 = -4*m. What is the highest common factor of m and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 - 6.09. Let l = -15 - -11. Let x = k - l. Is x > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 4*l - 3. Let t(b) = -b**3 + 12*b**2 - 11*b + 5. Let r be t(11). Suppose v - r = -0. Give q(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11023 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 317102527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*d - 2 = -3 - 13, 67 = -j - 2*j - 5*d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 26*i - 155. Let p be 2\/4*(41 + -7). Is j(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 2, -5, 0, 5, 1, -163 in increasing order.\nAnswer: -163, -36, -5, 0, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 235, 239, 243, 247, 251?\n\"Answer: 4*i + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/3))**(1\/12)*(w\/(w\/w**1))**(-8\/7)*(w**(2\/5)*w*w**7\/w)**(-1\/36) assuming w is positive.\nAnswer: w**(-1769\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 61, 55, 49, 43?\n\"Answer: -6*w + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 2*v + 3429. Let o = v - -603. What is the remainder when o is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 4*m**2 - 2*m - 6. Let v be y(-4). Suppose 0 = -5*t + 4*u + 52, 9 = 5*t + v*u - 25. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, 215, -5, -4, 4, -9 in increasing order.\nAnswer: -181, -9, -5, -4, 4, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13*d**2 - 326*d - 239. Calculate m(-1).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 5*m + 1. Let t be c(-4). Suppose -58*w + 65*w + 14 = 0. Sort 3, t, w.\nAnswer: w, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1331)*-1 + 0 + sqrt(1331) + sqrt(1331))*-5)**2.\nAnswer: 831875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194617022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 + 1185*y**2 - 14328*y + 43092.\nAnswer: (y - 6)**2*(y + 1197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 21*t. Let z(o) = 57*o - 529. Give s(z(q)).\nAnswer: 6498*q**2 - 119415*q + 548573","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-19) + 6356\/(-266) + 18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-12))\/(-6*2\/(-48)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/20 + 9\/15. Let r = 2 - 2. Which is smaller: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 134, -0.5, 0.4, -0.05 in descending order.\nAnswer: 134, 0.4, -0.05, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123\/328)\/(-2*2\/16).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.001, 0.5, 4282970 in decreasing order.\nAnswer: 4282970, 0.5, -0.001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 + 15 - 31)*(2*x - 1 + 1)*(-1 + 1 - 5) in the form b + w*x and give w.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249 divided by 127.\nAnswer: -249\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h**4 + 676750*h**3 - 322995705*h**2 + 107590040*h = 0. Calculate h.\nAnswer: -45589, 0, 1\/3, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11340323?\nAnswer: 173, 65551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 5, -58 in increasing order.\nAnswer: -58, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4\/3 - 121*k**3\/3 - 123*k**2 - 371*k\/3 - 124\/3 = 0 for k.\nAnswer: -1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*n + 262038 = -115*n. Is n a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119300 is divided by 3530.\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 9:49 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 219, 4, 5, -3, 26 in increasing order.\nAnswer: -3, 4, 5, 26, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 take away -0.15?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 + 93 + 157 + (0 - 19 - 1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {d: 1, w: 14}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -0.4 (c) 0.0497 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1472\/3 - -491. Let j(k) be the first derivative of 3 - h*k**3 + 2*k**2 + 0*k. Find the second derivative of j(v) wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from ltnnlllnobnnbnnn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 0*p**2 + 5*p - 6 + 4. Let o = -33 - -22. Let l = o - -15. Calculate g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/9)\/(11\/(-1089)*1177).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3749258?\nAnswer: 2, 1874629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 8*h + 3. Let u be b(8). Suppose -2*k + 5 = u*k. Solve 4*r - 9 = -k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ab when two letters picked without replacement from {b: 1, d: 4, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160492180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13368007843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125617.\nAnswer: 125617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/(-16)*(4\/7 - 1). Which is greater: b or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2332 - 22123?\nAnswer: -15351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.5 + -955.5. Let h = 967.959985 + q. Let t = 0.04 + h. What is t rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615787587.\nAnswer: 3, 19, 251, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365717982?\nAnswer: 2, 3, 7, 241, 36131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 + -91 - (-2 + 19 + 1 + -6).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*q + 2 = 16, 3*s - 4*q - 7 = 0. Let x be 3 + -16 - -7 - (2 + -8). Let -1\/10*h**s + 1\/5*h**3 + x + 0*h**2 - 1\/10*h + 0*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*t + 7. Let y be (-295)\/177 + -1 + (-10)\/(-6). Sort y, 4, t.\nAnswer: t, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4022.4987 to the nearest 10.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -633c77 (base 13) to base 2\nAnswer: -1000110110111011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122000220211021 (base 3) in base 2?\nAnswer: 100010100010000110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 1. Let n be t(0). Let b be (-2)\/18 + 5040\/162. Suppose -b*m + 10*m = -63. Sort n, 8, m in ascending order.\nAnswer: n, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**7\/126 - d**6\/45 + d**4\/18 + d**3\/18 - 4*d + 5. Let n(z) be the first derivative of o(z). Factor n(b).\nAnswer: -b*(b - 1)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) 0 (c) -2 (d) 0.35 (e) -118\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 34 - 22 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 7*i**2 - 3*i - 10. Give b(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -15. Calculate the remainder when 4 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72664*x - 101422*x - 107658*x.\nAnswer: -136416*x","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 18787594*z + 56362764.\nAnswer: 2*(z - 9393794)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*u = 16, 1 = 4*f - u - 12. Suppose 198 = 13*v - f*v. Suppose 5*c = -5*i + 60, -c - v = -4*c + 3*i. Solve l = 2*w - c + 1, -3*l = 3*w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 3310130?\nAnswer: -3310120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 12*i**2 - i + 12. Let a be t(12). Suppose a = 7*m + m - 48. Differentiate 151*w**2 - 151*w**2 - m - w**4 with respect to w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1*f*f)\/((f*f*f**(-15)*f*f)\/f) assuming f is positive.\nAnswer: f**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h - 19. Let b be f(-4). Suppose 4*n - 5*o - 8 = 0, 6*o + 4 = 2*n + o. Let w be b + n*(-12)\/8. Sort 6, w, 3 in increasing order.\nAnswer: w, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 555.\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.4 and 7520.\nAnswer: 7516.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 3, 0.4, -2\/227?\nAnswer: -2\/227","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39732 (base 11) to base 8.\nAnswer: 156720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.35 - -3.75. Let c = 5 - v. What is c rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -4, -0.07, -1.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 9*j = -6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/(n\/(n\/n**7))*n)\/n**5*(n**(-1))**9 assuming n is positive.\nAnswer: n**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 33*(-3 - 4\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020201 + 20021210110?\nAnswer: 20020112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*d - 116*d - 111*d + 1928 - 114*d + 872*d.\nAnswer: d + 1928","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4781 divided by 169.\nAnswer: 4781\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.5 - 19.68. Let g = 0.32 - a. Let y(u) = u**3 + 8*u**2 + 11*u - 12. Let f be y(-6). What is the nearest to 0 in g, f, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 2*m**2 + m**2 + 3 - 6*m**2. Let u(n) = -6*n**2 + 10. Determine 3*u(w) - 10*z(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6bf (base 16) to base 8.\nAnswer: -3277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*h - 12, -4*m + 17 = m + 2*h. Let i be 2581\/87 - 2\/m. Is i > 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -561 - -587. Suppose 2*r - 7*r - v = -2*u, 3*u = r + 13. Solve -u*b + 6 = 0, t - 6 = -3*t - b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*l - 200, -2*l - l + 198 = -2*q. Let b = 197 + q. Suppose 5 = -5*m + 6*m - 4*k, k + b = 5*m. Is m a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -433071 + 7?\nAnswer: -433066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 28\/154 - 40\/(-22). Solve -3*y = 2*x + 19, -3*y - 14 = -d*x + 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 - 5*w**3 + w**2 + (-w + 3*w - 3*w)*(-4*w**2 - 3*w**2 + 6*w**2) + w**3 - 2*w**3 + 2*w**3 + 0*w**3 - w**3 + 0*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4880, 9739, 14598, 19457, 24316?\nAnswer: 29175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 239.4 - 234.4. Let z be (2\/8)\/((-1)\/(-2)). What is the third smallest value in z, -2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-30)*5*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1197569.\nAnswer: 7185414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 41*h**2 - 606*h - 1002. Calculate u(18).\nAnswer: 1374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**6\/20 + 3*c**4\/8 - c**3\/2 - 38*c. Solve q(m) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (-1 + 0 + 0 + sqrt(200))*-3)*-5*-2)**2*1.\nAnswer: -18000*sqrt(2) + 180900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 958513153 to the nearest integer?\nAnswer: 30960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 3)*(-c - 7 + 7) + 141 - c + 37 + 41 + 80 + 3*c.\nAnswer: 4*c + 299","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*s - 30*s - 5*t + 5, 5 = s + 2*t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34857 is divided by 7494?\nAnswer: 4881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -59, -13, 4, -2.\nAnswer: -59, -13, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59841 - 30203. Suppose 6*d = 4*d - t. Let j = d - -3819. What is j rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1992 - -15?\nAnswer: -1977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 8 = -3*w, 0 = 2*b - b - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/8925474 and -99\/8.\nAnswer: 35701896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 66. Let d(j) = 19*j**3 - j**2 + j. Calculate the remainder when d(1) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from grejjjegng?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.1956692 milliseconds?\nAnswer: 0.00001992782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3514.095 rounded to the nearest integer?\nAnswer: -3514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22333, 44708, 67083, 89458, 111833, 134208?\nAnswer: 156583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -6.99.\nAnswer: 2.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 5:31 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -845 + 853. Solve 7*b = -t - 27 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*b - 212 = 2*b, -250 = -5*i - 5*b. Suppose 1733 - 1886 = -5*k - 13*t, 47 = -4*k + 5*t. Put k, i, 5 in decreasing order.\nAnswer: i, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(2\/9)*w)\/(w*w**(-1)*w))**(1\/29) assuming w is positive.\nAnswer: w**(7\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888874.\nAnswer: 2, 7, 173, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000809900612 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnmwwmwmnmmm. What is prob of sequence wnnw?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 42 = 3*g, 0*a - 2*a - g = 20. Let b = -11 + a. Let f = b + 28. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 17*j - 40. Solve 3*u + y = -1, -u + j*y - 7 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -91*m - 2197. Determine d(-24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 + 222 = 12*p. Suppose 6*u - 4*u - 4*a - 14 = 0, -23 = -4*u + p*a. Solve -4*i + 11 = -u*v, -3*i = 2*i + v - 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -26*m - 1223. Let k be l(-47). Let f(s) = s**3 + s**2 + s. Let h(v) = 4*v**2 + 6*v. Let a = -4 + 7. Determine a*f(t) + k*h(t).\nAnswer: 3*t**3 - t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g - 148*g - 211 - 958 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8570295 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -33*h + 3*h**2 - 108*h**3 + 109*h**3 + 29*h + 3. Let y(w) = -w**2 + w - 2. Let b be y(2). Calculate g(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 259 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -8*y + 13*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 2*p + 2. Let s be (1 - 1)\/(2\/(1 + 1)). Suppose -2*k = -3*r + 11, 2*k + s + 10 = 2*r. Determine x(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393684.7g to micrograms.\nAnswer: 393684700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59366 - -97653. What are the prime factors of g?\nAnswer: 38287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 801.767 millimeters to centimeters.\nAnswer: 80.1767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*u - 1037 = 43*u. What is the remainder when 452 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(sqrt(80)*-1*-3)**2)*6.\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - 5*k + 3. Let q be c(4). Calculate the common denominator of ((-39)\/(-9))\/(-14 - -6)*-11 and q\/10 + 0\/(-2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/18, -5, 0.7, -0.5 in ascending order.\nAnswer: -5, -0.5, -1\/18, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 2. Let x(c) = 2*c**3 + 2*c**2 - 4. Let n be 3 + (-4 - (-3 - 1)). Let p(r) = 2*r**2 - r**2 + 0*r**n + r**3 - 2. What is s*x(k) + 5*p(k)?\nAnswer: k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2393*c + 9559. What is j(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-144)\/(-27) + (-2)\/(-3). Suppose 4*i = -2 + p. Let t = -68\/57 + 29\/19. Which is the second smallest value? (a) -1\/4 (b) 2\/11 (c) i (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 6*p**2 + 5*p - 3. Let h be d(5). Suppose f = -1 + 4. Calculate the remainder when 7\/(-4 + 2 - h) is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -355*q**5 + q**4 - 50*q + 4 wrt q?\nAnswer: -7100*q**3 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12233916 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*h**2 + 2571*h**3 - 2570*h**3 - 23 + 416 in the form b*h + v*h**2 + p + r*h**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12 = -z. Solve 0 = 5*k - z - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, 1, -3, -5, 13, 0 in decreasing order.\nAnswer: 13, 7, 3, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 7*z**2 + 2*z + 8. Determine i(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/64 and -35\/764.\nAnswer: 12224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 18. Suppose 0*z - 6 = t*z. Let r = z - -8. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10490, 10817, 11134, 11435, 11714?\nAnswer: 11965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/18 and (-154)\/(-360) - 2\/(-9)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 16. Calculate the greatest common factor of 16 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*p + 25*p + 27*p)*(-5*p + 6*p**4 + 5*p) + 5*p**5 - 26*p**5 - 12*p**5.\nAnswer: 87*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197975, -197995, -198015, -198035?\nAnswer: -198055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -447*f**2*h - 1113*f*h + 40*f - 141202*h + 873 wrt f.\nAnswer: -894*f*h - 1113*h + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 417275 to the power of 1\/2, to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -2. Suppose 4*p + 4*l = -12, 2*p + 9 = -0*l - 3*l. Let r be p - -2 - (h - 1). Solve -r*k + 4*k = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 - w + 1. Let d be l(-2). Let r be 4 + (25 - (-4 + 7)). Let u be r\/39 + (-8)\/30. What is the closest to -1\/3 in 3, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 9. Let w be d(6). Solve 5*r = 2*x - 14 + 1, w = -5*r + x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 9319.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/11 + 235372*a\/11 + 706125\/11.\nAnswer: -(a - 235375)*(a + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/3)\/(-2) - -24619*28\/147.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 107 - 110. Let i(p) = -10*p - 1. Let l be i(-1). Is (290\/(-6))\/(k\/l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0 - -1 - (6 + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2487 divided by 829\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148382935 to the nearest integer?\nAnswer: 12181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + -2) - (2 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 330.97896 to 1 dp.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8*l**2. Let k(m) = -2*m - 40. Calculate k(b(u)).\nAnswer: -16*u**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 97282621?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13732 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000219646634 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to -2\/6935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5151125*z**3 + 14716743825*z**2 - 57997080*z + 57140.\nAnswer: 5*(z + 2857)*(1015*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(300) + (sqrt(300) + -1)*-4 + (sqrt(300) + -1)*-6)**2 - (sqrt(300)*1*5 + -5)).\nAnswer: -1850*sqrt(3) + 24407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4811 is divided by 539.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 - 76575*d**3 - 383085*d**2 + 1302095*d + 1608600 = 0.\nAnswer: -7, -1, 3, 15320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 13. What is l(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-45)*6\/(-16). Let k(u) be the third derivative of 0*u + 1\/300*u**5 + 0 + 2*u**2 + p*u**3 + 1\/60*u**4. Find n, given that k(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1248061 to 3 dps.\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1562 + 3917. List the prime factors of v.\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/17 (b) -10275 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -35358103 divided by 11\nAnswer: -3214373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.03 (b) -4 (c) 64\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 826320 and 2561592?\nAnswer: 25615920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1851\/33 - 0 - (-21588)\/(-19789).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -41140, -0.3, 0, -38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -2\/7 (b) 302 (c) -3 (d) 94\/25 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 45387.\nAnswer: 45387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2265701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 10, b: 9}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*(19 + -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 198. Let b be g(48). What is the second derivative of -b + 269*v**3 + v - 6 - 9 - 269*v**3 + 247*v**4 wrt v?\nAnswer: 2964*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h + 20*h + 2*h - 46*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110 (base 3) in base 8?\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26380\/34 - (-82)\/697. Suppose 0 = -w + r - d, -5*r + 17 = 2. Round w to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71 or 12.356189?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*q + q - 47, 4*q = p - 41. What is the lowest common multiple of p and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2. Let z(a) = 2*a - 5. Suppose 0 = -s - 1 - 5. Let q(b) = -b + 3. Let p(c) = s*z(c) - 10*q(c). Give p(y(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.725949 years to centuries.\nAnswer: 0.04725949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g + 2*g**2)*(-1 - 4*g + 1)*(-3 + 5 + 0)*(-3 + 3 - 1).\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33705 - 33710. Which is the nearest to -1\/5? (a) -4 (b) -0.052 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 s when two letters picked without replacement from {k: 1, h: 1, s: 2, a: 1, o: 1, r: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-2)*(-57)\/((-1083)\/(-38)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21584025 - 3.7.\nAnswer: 21584021.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, m: 4, g: 2, y: 1, x: 3, n: 6}. Give prob of picking 1 x and 1 m.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000416819 rounded to 7 dps?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + -4*(-1 + sqrt(800))*5)**2.\nAnswer: -13600*sqrt(2) + 320289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2212 + 2503.9. Let n = s + -291.891558. What is n rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -58. Let k be 10\/m*(-6)\/(-15). Which is the nearest to 2? (a) -0.2 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111100011 (base 2) to base 14\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/(24\/5))\/((-2976)\/(-128)) and -151\/744?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41*3\/(-6)*-2 is divided by 254\/12 + 1 + 4\/(-24).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -2 - (-94)\/(-24).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 1, 51.4, 0.5, -4, 16.6, -2, 2?\nAnswer: 51.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6814*d + 142945. What is l(21)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 189705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 11941992.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/((-40)\/(-3)) + 742\/644 and -89\/414.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20139*n**2\/4 - 3*n\/4 = 0. Calculate n.\nAnswer: -1\/6713, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000499 rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 1)*(1 - 1 - 2) + 0 + 8 - 9)*(9 - 11 - 8*p - 2*p).\nAnswer: -30*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, r: 1, g: 5, n: 4, a: 4, o: 1}. What is prob of sequence ng?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83350991.\nAnswer: 41, 2032951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j - 58. Let t be (4 - (-115)\/(-35))*(8 + 146)\/11. Calculate d(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -1042333?\nAnswer: 1042324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -1703.\nAnswer: -27\/1703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6474 divided by 3?\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 3*p, -3*o - 3*p - 29 = -8*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77116 is divided by 2856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16134 divided by -8067?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2)*1*-8. Suppose 3*i + 5 = -g, -z = -2*g + 2*i + i. Is (-2)\/g + (-9)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2313 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193 and 65041?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 5*a + 1. Let k be x(-6). Solve k*w - 31 - 4 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 3898.\nAnswer: -7, 0, 3898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.079 + 0.121. Let c = q - 29.2. What is the second biggest value in c, 5, -40?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07905681 times 5\nAnswer: -0.39528405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 = -2*o - 3*o, 0 = -2*o. Suppose -2*z + m = 3. Calculate the smallest common multiple of 3 and z*1\/((-3)\/12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r + 14. Let d(t) = -t**3 - 4*t**2 - 10*t - 3. Let f be d(-4). Let x = f + -43. Let h be i(x). Solve -l + h*a = 5, 4*l + 2*a + 2*a = -8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/8*(1 + -3) + 22. Let c = 30\/1601 + 297456\/17611. Is c > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 7*u + 39. Let v be ((-21)\/(-4))\/(u\/(-52)). What is the second derivative of -v*k + 16*k + 2*k**5 - 12*k**5 wrt k?\nAnswer: -200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:47 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -455 in 1\/2, 1, -2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b + 2*b + 4*b)*(3 + 4 - 10)*(-31 + 8 - 24) to the form v + s*b and give s.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12661 and 1151.\nAnswer: 12661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 16*f - 6. Let r(a) = -6*a. What is r(b(s))?\nAnswer: 12*s**2 - 96*s + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -124*i**3*o + 9*i*o**2 + 2*i + o**2 + 17716*o wrt i.\nAnswer: -372*i**2*o + 9*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342449, -343240, -344033, -344828?\nAnswer: -345625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.4 * -0.3.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 + 1 = -r, 1 = 4*r - 3*n. Suppose r*y + 4*y = -800. Round y to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264696595 a multiple of 987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27016801?\nAnswer: 7, 1801, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 22622*c + 45215. Calculate b(-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 108854856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -71 - 17?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + c**2 - 4*c**3 + 0*c + 2*c**3 - c to a*c + h*c**3 + j*c**2 + u and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 v when three letters picked without replacement from {v: 2, c: 17}.\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 215360 at least 215724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/13 - 21\/26. Sort 4, 0, r in decreasing order.\nAnswer: 4, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 57906, 4\/5, -0.05?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*o + 42 = 0, -4*c + 5*o - 4 = -37. Let y be (-4)\/(-10) - c\/(-20). Let v be 2 - y\/1 - -6. Solve v*p - 20 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2192 divided by 2.\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 113805 = 25675. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1944 * 28\nAnswer: 54432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**3 - 1663*d**2 - 60081*d + 26055.\nAnswer: -(d + 45)*(d + 193)*(7*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8276, -8818, -9354, -9884, -10408?\nAnswer: -10926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/641 - -1277\/3205. Which is the nearest to 2\/5? (a) -3 (b) 1\/5 (c) -0.1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from sfsfqj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*d*f + 2*d*q + d*y + f*q*y + 16*f*y + 108*y + 4 wrt f?\nAnswer: 40*d + q*y + 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2521153 is divided by 10867.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(1\/(-3) - (-33)\/18) - 1627\/13016.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3011012021 (base 4) in base 15?\nAnswer: -10e305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -10) + 28 + -73 + 25 - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-4)\/6)\/(4\/3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -5537 + -10)*(-92)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*d - 2)*(-12*d**3 + 9*d**3 - 4*d**3)*(1 - 4 + 5).\nAnswer: 28*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f + 1. Let t be w(-1). Suppose 28 - t = 2*d. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 93168 and 4309020.\nAnswer: 17236080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1589 + 651 = -280*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01328593 rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b + 2292 = 0. Let c = 1031 - b. List the prime factors of c\/(-2 - (-1 - 3)).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -5 + 0*u**5 + 0*u**6 + 0*u**7 - 13\/3*u**4 + 0*u**3 - 4*u + 0*u**2 + 8\/7*u**8. Find the third derivative of v(c) wrt c.\nAnswer: 7680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/2 + 203*a**3\/2 - 309*a**2 = 0.\nAnswer: -206, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*t + 18. Let j = t - -12. Let r(k) = 2*k**2 + 7*k - 5*k - j*k. Let x(z) = 4*z. Determine x(r(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 126077 at least 126089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 2. Let i be m(-1). Find the second derivative of 43*y - i*y**2 - 3*y**2 - 36*y**5 + 7*y**2 wrt y.\nAnswer: -720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882353?\nAnswer: 31, 28463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 1\/(2\/258). Suppose 21*k + 191 = 65. Is (k - -8)\/(-2 - t\/(-64)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -4)\/((-1)\/(-2)). Let x = -1\/2 + 15\/22. Sort x, -3, h in ascending order.\nAnswer: -3, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11.873 from -2987236.\nAnswer: -2987247.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 397\/2 + -198. Let g = -19.1 + 17. Let b = 2 + g. Put b, l, -0.2 in decreasing order.\nAnswer: l, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 67\/13 - 36\/234. Suppose -o + 3*i + 6 = -11, t*i + 23 = -o. Suppose -z = -5*u + 7 - 21, -5*z = -u + o. Which is bigger: u or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0628393875 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pa when two letters picked without replacement from {z: 1, a: 5, o: 7, g: 1, p: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 92504293345 and -0.4.\nAnswer: 92504293344.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 120 (b) 0.03 (c) 0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 126 = m. Let x = 1310 + -1311. What is the closest to -0.1 in x, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o + 13. Suppose -7*j + 4*j + 39 = 0. What is the greatest common factor of j and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -1.7 (c) 197 (d) -21 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yrrprryrrrrydr. What is prob of sequence ryd?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -47*(-3)\/(9\/6) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q - 4. Calculate the greatest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 - 4*i + 1. Let o(m) = m**2 - 3*m. Let d(r) = -3*o(r) + 2*t(r). Let y be d(0). Let k(c) = c + 3*c + c**y - 3*c + 3*c - 4. Give k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -24, 1\/6, 0.4, 401, 15?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 43 = 2*y. Let t = y + -91\/2. What is the second smallest value in -2\/13, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 192 - a39?\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 + 22 - 14 - 1 - 3 + 3 + (2 - 2 - 5)*(-3 - 1 + 6))*(0 + 0 - b) to a*b + d and give a.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 8:45 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -19*n. Let b(l) = 2472650*l - 2. Determine b(z(c)).\nAnswer: -46980350*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38, 28, 14, -4, -26, -52, -82?\n\"Answer: -2*o**2 - 4*o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3586)\/(-1141) + (-6)\/(-7). Solve 0 = 4*z - 3*b + 21, a*b - 2 - 1 = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - 6*3*sqrt(228))\/(5*sqrt(24)\/sqrt(2)))**2 + -2.\nAnswer: 5441\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24154999.450049 + -24155024. Let m = -24.481 - p. Let f = m + -0.069. What is f rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-8 - -8)) + 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c\/c**(8\/3))\/c)\/c*c*c)**(-3\/2) assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 10 = -2*d, 1 = -5*r - 4. Suppose 20 - 42 = -2*z. Let s(k) = -2*k**3 + 22*k**2 + k + 1. Let y be s(z). Solve -2*c - y = -4*h, 11 - d = -4*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 1\/5 (c) -167 (d) -65\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (9 + -8) - -5) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 + -80. Let u be (488\/j)\/((-4)\/10). Suppose -5*x + u + 183 = 5*r, r - 3 = 0. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, t: 7, o: 1}. Give prob of picking 1 e and 1 o.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 8 = 3*f, -4*f = f + 5*w + 5. Suppose -f*u - 3*j - 12 = u, -j - 4 = -5*u. Solve k - h + 4 = u, -2*h + 4*h + 17 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + 3*w - w + (-4 + 2 + 1)*(-2 + w + 2) - 3*w + 0*w + w + 0*w + w + w - 8*w + w - w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - q = -91, 2*q = o - 3 - 13. Suppose 24 = o*z - 20*z. What is the third derivative of m**2 - z*m**2 - 79*m**3 - m**2 + 67*m**3 wrt m?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 2, -37, 0, -0.1, -1\/14?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, b: 13}. What is prob of picking 3 b?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 + -3 + 71\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 14 (b) 4 (c) 12\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -13*r + 21. Let i(m) = -4*m + 7. Let d(c) = 2*c**2 - 18*c + 35. Let j be d(2). Determine j*i(s) - 2*z(s).\nAnswer: -2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2461 is divided by 817?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + 9. Let p(f) = 40*f**2 + a*f**2 + 26*f - 128*f**2 + 51*f**2. Let g(y) = -2*y. Calculate p(g(q)).\nAnswer: 36*q**2 - 52*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 81.0338ml?\nAnswer: 0.0810338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 1 - 3, -t - 3*i = -13. Let q(j) = -4*j**2 + 22*j + 10. Let n be q(-4). Let w = n + 145. What is the smallest common multiple of t and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29*1\/4*4 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8014.146 nanoseconds in seconds?\nAnswer: 0.000008014146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*r**4)*(-r + 0 + 1 - r).\nAnswer: 4*r**5 - 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 0*x**3 + 0*x - 13\/20*x**5 - 35*x**2 - 1\/4*x**4 + 7\/64*x**8 + 11\/40*x**7 - 33\/80*x**6 + 0. Find v such that a(v) = 0.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23129 or -23128?\nAnswer: -23129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -12. Let f = -9 - -10. What is the smallest value in f, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 2*h**3 - 2*h**3 - 3*h**3 + 0*h**3.\nAnswer: -3*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77723 = 5375*l - 74043 + 33516 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 - 108*p + 683. Let r be z(7). Let y = 17 + 7. What is the first derivative of -15 - r*s - y + 7*s wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - -27. Let w(i) = -15*i + 29. Is w(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -38 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97451641 + 97461501 = -68*b for b.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 7 = -6. Let i(o) = -6*o - 13. What is the remainder when i(a) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*y - y**2 - 15*y + 2*y**2 + 10*y.\nAnswer: y**2 - 35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -1 + (-5)\/(-1). Let l be 1\/2*0 + i. Suppose -4*o = -13 - 3. Solve 0 = -o*f - l + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.396 + 0.004. Let v = u - 12. What is the second biggest value in 0.2, 3\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 28. Calculate the least common multiple of 0 - -3 - (-22 + (11 - 4)) and (-40)\/(-4) + (j - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -10 - (-1 + -1 + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12964.913 + 12955. Round s to one decimal place.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, 67, 788, 2027, 3916?\nAnswer: 6587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 i, and 1 u when four letters picked without replacement from {u: 12, d: 1, i: 3}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2aa80a4 + 3?\nAnswer: 2aa80a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(278 - 278 - 150*u).\nAnswer: 150*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 16265656.\nAnswer: 81328280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 38. Let r = 14346 + -14331. Give q(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371706177538 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10)\/((-18)\/80*7308\/169911).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246454912 to the power of 1\/2, to the nearest integer?\nAnswer: 15699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + 2. Let h(t) = t**3 - 14*t**2 + 12*t + 17. Let c be h(w). Solve 3*l = -5*b + 26, c*b = l - 6*l + 26 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1648*-2395\nAnswer: -3946960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t - t - 5*t**3 + 4*t**3 wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166324458 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 138, 277, 472, 723, 1030?\nAnswer: 1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134 = -a + 3*d + 382, 2*d - 755 = -3*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25105310 (base 6) to base 7.\nAnswer: -6550356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 2:03 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-3) - (-5)\/(-5). Let u = o - 0. Suppose 2*d - u = -k - 2*d, 0 = -5*k + 4*d + 135. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 337, -322, -983, -1646?\n\"Answer: -p**2 - 656*p + 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29820 and 700?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/12)\/(8 + 228\/(-27)). Let f be 3\/(8\/((-4)\/2)). Put w, 0, f in decreasing order.\nAnswer: 0, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(10\/(-3))*252\/27. Solve -i*h + 8 = -34 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0537 and 5.\nAnswer: -0.2685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1094361*0.47.\nAnswer: 514349.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/660 and (-2)\/8 + (-20)\/((-12000)\/515).\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -9. Let v = t - 11.98. Let n = -1.02 + v. Which is the closest to 1? (a) -0.5 (b) n (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1792393351 to the nearest integer?\nAnswer: 42337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 + -460184?\nAnswer: -460214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 6*l**2 + 7*l + 5. Let n be b(-4). Let h(w) = w - 3. Calculate the lowest common multiple of h(n) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2476 - -2480. Solve 5*k + 38 = m*c + 1, -k - 17 = -4*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/157 (b) 12 (c) -4 (d) 367\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -301?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h + 186 = -425 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) -0.2 (c) 8\/11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10500 by 4.\nAnswer: -2625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*n + 4*l, 3*n - n - l = -1. Let z(h) = -h**2 + 4*h + 5. Let w be z(4). What is the third derivative of 2*y**w - 5*y**5 - y**n + 2*y**5 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlx when three letters picked without replacement from {l: 6, v: 3, x: 8}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 3\/11 (c) -4\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -8, -0.1, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-508*v + 69*v - 68*v)*(-4*v**2 + 16*v - 16*v) to the form r*v**2 + i*v + m + p*v**3 and give p.\nAnswer: 2028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/5)\/(6\/40). Let p = d + -6. Let f = -13 + 14. Put -4, p, f in increasing order.\nAnswer: -4, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51097117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1647\nAnswer: -5\/1647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 2*x**2 - 5*x - 4. Suppose 2*q - 1 = 3*h - 0, 0 = 5*q + 20. Give a(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25364 a multiple of 746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -92, -3, -4, -5, -33 in ascending order.\nAnswer: -92, -33, -5, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 + 10*v. What is the tens digit of q(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m + 2*m - 2)*(m**3 + 0*m**3 + 0*m**3).\nAnswer: m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1781*k - 47721. What is d(27)?\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 2070.\nAnswer: 64170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*k = -83*k + 18*k. Solve 0 = -h - 2, k*b - 5*h = -b + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 4*g + 4, -22*k - 7*g - 17 = -21*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -147, -366, -563, -726, -843?\n\"Answer: 2*w**3 - w**2 - 230*w + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*n - 76*n - 24*n**2 + 48*n**2 - 25*n**2 + 1201*n**3 to the form o*n + m*n**2 + i + u*n**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -10*z - 28. Let k(m) = -5*m - 11. Let g(y) = -y - 1. Let j(c) = 2*g(c) - k(c). Calculate 16*j(s) + 5*o(s).\nAnswer: -2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**2 - 4032*s - 4029 = 0.\nAnswer: -1343, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -253*b**2*d**2 + 26540*b**2*d + 25*b*d**2 - 37*b*d + 205*d**2 wrt d.\nAnswer: -506*b**2 + 50*b + 410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/1*32\/240?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**3 + 12*k**2 - 8*k - 8. Let q(i) = -i - 1. Let x(n) = -g(n) + 8*q(n). Find the third derivative of x(o) wrt o.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and -1.9974?\nAnswer: 6.0026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -599 - -617. Calculate the highest common factor of d and 1818.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3131023 - -133?\nAnswer: -3130230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 12*r - 11. Let y(p) = -3*p**2 - 24*p + 22. Let l(c) = -5*x(c) - 3*y(c). What are the prime factors of l(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(250)*1 + sqrt(10)) + 3)**2 + -5*(sqrt(200)*3)**2 + sqrt(200) + -2.\nAnswer: -161873\/18 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 8. Let p(n) = -n - 4. Let a(k) = 3*m(k) - 5*p(k). Suppose 0 = -2*u + 5*u. Determine a(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obbogbggbbo. What is prob of sequence ggbo?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 912606 and 655752.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 36*f**2. Let p(d) = 5*d**2 - 6*d + 3. Let j(c) = -c**2 + 2*c - 1. Let i(m) = -3*j(m) - p(m). Calculate z(i(q)).\nAnswer: 144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 - w + 6. Let j(c) = 568*c**3 - 2*c**2 + 3171*c + 12. Let k(r) = -2*d(r) + j(r). Find the second derivative of k(a) wrt a.\nAnswer: 3420*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2006046 - 605634 = 52*z. List the prime factors of z.\nAnswer: 3, 47, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -558 + 1618. Let f be d\/(-30) + 2\/(-3). List the prime factors of 11*f*(-7)\/14.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 12.5. Let t = -13 + g. Let q = -632\/5 - -127. Which is the smallest value? (a) 0 (b) t (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or -144?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.58519 rounded to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/(-196)*(-7)\/(-2). Factor -q - 12\/7*j**2 - 15\/7*j - 3\/7*j**3.\nAnswer: -3*(j + 1)**2*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in 5, -6\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.12641 rounded to zero decimal places?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 12. Let j be u(5). Let o = 25 - 11. Calculate the greatest common divisor of o and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 92*u + 88*u - 179*u. Let i(p) = 6*p**2. Determine q(i(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffya when four letters picked without replacement from {w: 1, y: 1, a: 2, r: 1, n: 1, f: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 399 + -396. Solve -2*h - y = -m*y - 2, 4*h - 3*y - 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 12*a - 18*a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -41*q + 36*q. Suppose x + 9 = q*x. Find the second derivative of 0*n - n**x - 7*n**3 + 16*n wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {z: 11, i: 7, e: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-63)\/14)\/3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/3 - 40*s**3\/3 - 72*s**2 - 2*s - 829. Determine y, given that l(y) = 0.\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 2*l + 5, 0 = -0*g + 2*g + 2*l. Let s(c) = -5 + 0*c - 4 + g - 2*c. Let a be s(-6). Solve -t = -2*t - 4*w + 17, 0 = -a*t + 2*w - 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 236. Let a(v) = -4*v + 660. Let f(y) = -5*a(y) - 14*o(y). Let u(t) = -t**2 + t + 1. Determine -f(q) + 4*u(q).\nAnswer: -4*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(624) - (sqrt(624)*2 - sqrt(624))) + sqrt(39) - sqrt(39)))\/(sqrt(6)\/sqrt(18) + sqrt(3) + (sqrt(96)\/sqrt(4))\/sqrt(8) + sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/3 (b) -2\/7 (c) -6925\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 6*h + 2. Let g be (-2 + 7\/(-4))\/(6\/(-16)). Let m = 15 - g. Give n(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4) + 11 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53.73553 millennia?\nAnswer: 53735.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -1a87403?\nAnswer: 1a87408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/22 - 819\/33. Let z = w + 46. Does 4 divide 1 - 1*(2 - z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 5*f**2 + f - 5. Let k be g(5). Suppose -4*b + k = -12. Calculate the lowest common multiple of 10 and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652890 is divided by 467.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 6 + 6 - 7 + 6*q. Give n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13835\/2 + -6916. Which is the closest to g? (a) -3 (b) -0.4 (c) 3\/4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-1) + (-9580)\/(-40). Let w = u - 237. Let o = 2.7 - 3. Which is the third biggest value? (a) o (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35661160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3417 = 39*h + 3261. Put h, 0.4, 5\/4, -5\/74 in decreasing order.\nAnswer: h, 5\/4, 0.4, -5\/74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 212 + -199. Solve -8*k - d = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15984 and 6984.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -943.94 and -50.3?\nAnswer: 47480.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/4 - 1653684*c**3 + 10938676472685*c**2\/4 + 10938689702161*c\/2.\nAnswer: c*(c - 3307369)**2*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 7 + 1*-1. Suppose 0 = 5*t, -45 = -d*j + 5*t - 7. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/9 + 4108*m**2\/9 + 2109458*m\/9 = 0. Calculate m.\nAnswer: -1027, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 316 = 4*s - 2*z + 76, -5*z + 180 = 3*s. Is 30 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*g - 62*g - 4 = 0. Suppose 3*n + 2*m = 11, -n - 38 = -m - 40. Solve 3 = -n*w + g*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h - 131. Give o(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6*(6 - -12). Let y be (40\/t)\/(-1 + 20\/12). Solve 2*s + 24 = -0*v + 5*v, v + 6 = -y*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -82? (a) -7 (b) 0.4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, -4, -8, -56 in increasing order.\nAnswer: -56, -8, -4, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 3*x + 1292. Let m = -214 - x. What are the prime factors of m?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 220028 (b) 0.5 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 283, 1107, 2469, 4363, 6783, 9723?\n\"Answer: -b**3 + 275*b**2 + 6*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 317 = 83. Is -130*(45\/k)\/((-1)\/2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1529 and 73763825?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 4*i - 6. Suppose 0 = 4*q - 152 + 136. Suppose 4*g = 5*a - 1 - 6, q*a = 3*g + 6. What is the smallest common multiple of k(-6) and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, a: 1, w: 1, c: 2, l: 1}. What is prob of sequence lka?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6959802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17082476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/1*13*8\/1040*-75?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 53*j**2 - 15*j + 35. What is the units digit of n(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f. Let n(d) = 24*d**2 + 2. Calculate o(n(w)).\nAnswer: 48*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -185.09 + 185. Let x = -280\/3 - -92. What is the closest to j in -0.1, x, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 331376 and 463092?\nAnswer: 257479152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 + 0.17. Let r = -3.6 - -4. What is the second biggest value in r, p, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(560\/8)*15\/4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 9 = -5*v - 7, -4*v - d = 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, l: 11}. What is prob of picking 2 j and 1 l?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -561.896 - -564. Round z to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + y**2 - 5. Suppose t = 5 + 8. Suppose -q = -3*q - 8, 0 = -3*k + 4*q + t. Let w(v) = 1. Suppose -6 = d - 1. Give d*w(j) + k*g(j).\nAnswer: j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpcc when four letters picked without replacement from {p: 1, m: 1, i: 5, o: 1, c: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15525546615 rounded to 4 dps?\nAnswer: -0.1553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*o*v**4 + 2*o*v**2 - 77*v**3 - 22813*v**2 wrt v?\nAnswer: 432*o*v - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 5*u**2 + 7. Let l be x(-3). Let t = l - -15. Put -2\/3, t, 19 in decreasing order.\nAnswer: 19, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k - 17. Let g(j) be the first derivative of 42 - 263 + 118 - j**2. Calculate i(g(r)).\nAnswer: 10*r - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 9 + (-4 - 4 - (28 + -16)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -18*y + 132. Let h = 62 + -40. Calculate the lowest common multiple of a(7) and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 45162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22024021 (base 5) in base 6?\nAnswer: 4020113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14459 is divided by 7057.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118\/81 - 136\/81. Let u = -11 - -11. Let x = 3.7 + -0.7. What is the nearest to 0 in x, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 2*x**2 + 3*x + 4. Let d be r(-3). Let f = 1358 + -1348. Solve n = -d*v - n + 16, -3*n + f = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -5*j - 124, -3199*t + 3200*t - 3*j = 38 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1104 from 0.3.\nAnswer: 0.1896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + (-88)\/16)*(-14)\/(-3). Let m be (-27 - -22) + 36*g. Which is bigger: 248 or m?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**2 - 87330*j - 6088600 = 0?\nAnswer: -17396, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1788 by -6.\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 499969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10167430 (base 8) in base 7?\nAnswer: 24226411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 - 174. Which is smaller: b or 23\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**3*z**2 + 72*n**3*z + 3*n**3 - 4*n**2*z - n**2 + 510*z**2 wrt n?\nAnswer: 12*z**2 + 432*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.02 + 0.02. Let a = r + 14. Let k = 259 - 262. What is the third biggest value in 3, k, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67724, -135357, -202896, -270341, -337692?\nAnswer: -404949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + 1 + sqrt(1008) + sqrt(7)).\nAnswer: 5 + 65*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 = 128*l + 746 + 623 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6683 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -2*b + 1\/50*b**5 + 2\/15*b**4 + 0*b**2 + 0 + 4\/15*b**3. Factor m(o).\nAnswer: 2*o*(o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314044 = 8*f + 2*v, -4*v + 22 = 30. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 divided by 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**5\/20 - 471*p**4 + 1774728*p**3 + 3349*p**2. Factor v(n).\nAnswer: 3*(n - 1884)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41154 + 20858 + 20575 = -31*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/4 + 3\/4. Is -12 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*h**2*i**2 + 1031*h**2 - 1127*i**2 + 164*i wrt i?\nAnswer: -146*h**2 - 2254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 6*o**2 + 6*o - 2. Let j be r(5). Suppose -2*q - j*b + 8*b - 13 = 0, 5*b - 19 = -4*q. What is the lowest common multiple of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucvkvauma. What is prob of sequence ccu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-18))\/((-1)\/(-9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3183790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9095748 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1. Let p be 4\/m - (-4)\/(-2). Suppose -p*y + 11 = -9. Calculate the least common multiple of y and 26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -174086*h**5\/3 - 21094*h**4 + 8*h**3\/3 = 0.\nAnswer: -4\/11, 0, 1\/7913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 + 8*k - 5. Let a(t) = 2*t**2 + 3*t - 2. Let v(d) = 4*d**2 - 3*d**3 - 5*d - 3 + 2*d**3 + 8*d. Let c be v(2). Determine c*a(h) - 4*j(h).\nAnswer: -2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 + 2*o**3)*(3*o - 3*o - 2*o) + 5*o**3 + o**4 - 5*o**3 - o - 2*o**4 + o + (-o**4 - 1 + 1)*(1 + 6 - 1)*(-2 + 4 + 0).\nAnswer: -17*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, n: 5, y: 4}. What is prob of sequence oy?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 589947940 a multiple of 604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*1 + sqrt(55)*-2*2)\/((sqrt(405) - (sqrt(405)*4 + sqrt(405))) + sqrt(405) + sqrt(405) - 4*sqrt(500)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 23*v**2 + 49*v + 31. Let c be l(25). Solve 2*q + 6 = 0, 3*b = -95*q + 92*q + c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27423 - 27175. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 381*z**6 + 9*z**3 - 13*z**2 - 4*z - 5 wrt z.\nAnswer: 45720*z**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.8, -1\/5, -0.14, 626, 5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (128\/1920)\/((-22)\/(-24) - 1). Which is the third smallest value? (a) s (b) 3 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 423, 467, 521, 591, 683, 803, 957?\n\"Answer: c**3 - c**2 + 40*c + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g\/(g*g\/(g\/(g*g\/g**4))))*g**(3\/8)\/g*g*((g*g**0)\/g)**(-22) assuming g is positive.\nAnswer: g**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j + 2. Let t be k(-4). Let r be (-1 + 0)\/(2\/t). Suppose 4*f - 2*g - 422 = -g, -5*f + r*g = -535. Round f to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 - 434 = 144*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -35*o + 1. Is z(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 114 = -4*n + 4*n. Solve 0*u - n = 19*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006391629 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1577296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 534 = -2*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 2*f + 0*f + 5*f - 7*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172.965 + 172. Let x = h + 1.518. Let f = 0.053 + x. Round f to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -4 + (-301 - -253)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2880 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3743 - -150.689255368.\nAnswer: 151.063555368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 58 in 24, -3, -0.4, -1, 3\/871?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009809 to 5 decimal places.\nAnswer: -0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -u - 2*y + 12161, 5*u + y - 60727 = 0. Suppose -9*s + 1138 = -u. List the prime factors of s.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, s: 5, u: 1, r: 4}. Give prob of picking 1 u, 2 m, and 1 r.\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 6*l**2 - 7*l + 3. Let o be s(-6). Let b = o - -107. Let n = b - 86. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 10:44 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 417 + -453.4. Let p = k - -27. What is p rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(10) + sqrt(490)*-2) + -2*sqrt(52)*-3)*4.\nAnswer: 620*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.6 or -9532440?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/2550 and -117\/320?\nAnswer: 81600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-30) - (-2 - 732\/90). Sort 2, 1, u, 3 in descending order.\nAnswer: u, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: b\"What is the pth term of -8712807, -8712803, -8712799, -8712795?\n\"Answer: 4*p - 8712811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.39345 nanometers in centimeters?\nAnswer: 0.000004339345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*c + z - 37, 4*c - 52 = z. Put c, -2\/9, -1 in ascending order.\nAnswer: -1, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1108 - -1108. Let j(i) be the third derivative of i**5\/120 + i**4\/2 + i**3\/6 + i**2. Let u(b) be the first derivative of j(b). Determine u(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g - 15*g + 27*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 + 0.1. Let z = -2.8 - -3.8. Let s = 42 - 42.2. Which is the closest to z? (a) s (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -1\/5 (c) 1\/5 (d) -146 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*p + 4*c = 160*p - 25728, 4*c = -3*p + 38532. List the prime factors of p.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Suppose y = -3 - 2. Let d be 0\/2 - 2\/y. What is the closest to d in m, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-9)\/((f\/f**5)\/(f\/(f*(f**(-1\/4)\/f)\/f))))**(-43) assuming f is positive.\nAnswer: f**(473\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven tenths of a kilometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - 2*c**2)*(80*c - 151*c - c**2 + 4 + 79*c).\nAnswer: 2*c**4 - 16*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -466, -468, -470, -472, -474?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**4\/4 - 8*a. Let g(b) = 0*b + 0*b - 2*b. Determine g(v(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Suppose -j*i + 280 = -i. Suppose 3*g + 9 = 0, -2*s + 4*g = 2*s - i. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.015 - 9.415. Are v and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pffaafpa. What is prob of picking 1 f and 1 a?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17758, 35516, 53274, 71032, 88790?\nAnswer: 106548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -9817.\nAnswer: -2\/9817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 5*o - 12, 5*t = o - 11 - 13. Suppose -14 = -5*f - 99. Let u = f + 22. Put t, -1, u in increasing order.\nAnswer: t, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1032225, 1\/4, 5 in descending order.\nAnswer: 1032225, 5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.05 - -26. Let q = -1 - -5. Let t = q + s. Which is smaller: t or 1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2)*(4*f - 2*f - 5*f + (-3*f - f + 3*f)*(-4 - 1 + 3) + 7*f - 89 + 89) to x + a*f and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 2673?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = 3*j - 455, -5*t - j - 2355 = 0. Let v = 919 + t. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*2)\/sqrt(144) - (-4 + ((-2*sqrt(75) + 2)*-4)**2).\nAnswer: -4860 + 642*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -2*t**3 - 3*t**2\/2 - 3*t - 4011. Let z(p) = -p. Give x(w) - 3*z(w).\nAnswer: -6*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -4. Suppose 40 = 2*v - 2*y, -g*v + 3*y = 17 - 52. Suppose 0 = 3*x + 6, 2*j + 7 - v = -2*x. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 5) to base 7.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -14. Calculate the least common multiple of 2 and 4\/i + 37\/7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(1500)\/sqrt(6) + sqrt(10)))\/((-3*sqrt(20))\/sqrt(2)*4).\nAnswer: -sqrt(3)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 2*t + 2*t. Suppose -2*u - 184 = -g, -3*u = -5*g + 262 + 686. Calculate the highest common factor of t and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16176570, -32353138, -48529706, -64706274, -80882842, -97059410?\nAnswer: -113235978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(3) + sqrt(12)\/(sqrt(20)\/sqrt(5)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 5. Let o = -192 - -184. Let p be (o - (-180)\/27)\/(4\/6). Sort i, 0, p in decreasing order.\nAnswer: 0, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 8:34 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 38 (b) -3.4 (c) 2\/3 (d) 0.1 (e) 2\/769\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - h + h)*(-4*h + 4*h - h) + 10 - 4*h**2 - 10 - 153*h**2 - 8 + 16 - 8 - 3*h**2 + 0*h**2 + h**2.\nAnswer: -161*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -10) + -23 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -42.7?\nAnswer: -2.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -31. Let h = 45 - p. Is h >= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21235670 equal to 21235670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 890 = 5*l + 2*j, 0 = -l - j + 178. Suppose -4*b = -42 - l. Let w be (3\/((-15)\/b))\/(-1). Solve 0 = -5*k + 26 - w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 5:32 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 19. What is the units digit of s(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -0.1, 176 in decreasing order.\nAnswer: 176, 3, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-568)\/4) + (-1 - 0 - 1). Are q and 19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 692804 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dud when three letters picked without replacement from {u: 2, r: 1, y: 1, g: 2, d: 2, z: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 0.4 (b) -1 (c) 0.06 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*b - 202767, -k - 3*b = -2*k - 202751. Let m = k - -362757. What is m rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -124234a + 3?\nAnswer: -1242347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 3. Let v be i(7). Let l be 1\/((-2)\/(-3) + -1). What is the second biggest value in l, v, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -292735 equal to -292736?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, w: 2, x: 1, r: 10, b: 1}. Give prob of picking 1 f and 1 x.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 8*z + 4, 4*n = 5*z - 4. Sort n, 1, 6, -90.\nAnswer: -90, 1, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + v**3 + 0*v + 9*v**2 + 2*v to the form j + q*v**2 + b*v + o*v**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2053386 by -6.\nAnswer: 342231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 6*c + 25*c - 0. Let m(w) be the second derivative of -3\/100*w**5 + 1\/10*w**4 + 1\/300*w**c + 3\/20*w**2 + 0 - w - 1\/6*w**3. Factor m(a).\nAnswer: (a - 3)*(a - 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 750, 823, 896?\n\"Answer: 73*n + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.047 times 2\nAnswer: 0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 86.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*n - 2 = 45*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.21 or 245?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 7*n - 255 = 2*n, -5*n - 585 = -5*o. Let i = -51 + o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.51 + 0.01. Let t = -16.6 - -38.7. Let m = t - 22. Which is the closest to m? (a) s (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-124)\/(916980\/(-459)))\/((-3)\/2)*10\/(-6)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 65296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 9 = -3*f. Suppose -f*j + 52 = h - 0*h, -2*h = -4*j - 84. What are the prime factors of h?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cw when two letters picked without replacement from cpwpwwwaacpqcwqcp.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -226 - -225.9. Let r = 5 - 1. What is the fourth smallest value in 1, o, r, -4\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12005455 (base 7) in base 13?\nAnswer: -2b1ab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215 = -23*n + 159 - 435 - 130 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-11)\/(-33))\/(3146\/1815)?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-1\/9)*(l\/(l\/l**(-5))*l)\/l*(l\/((l*l**9*l)\/l))**(4\/3) assuming l is positive.\nAnswer: l**(-143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151107134?\nAnswer: 2, 53, 1425539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 115729856435 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 e when four letters picked without replacement from zbfzbbfezfz?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/4*6*-248*(-120)\/11160.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/4106000 and 11\/24?\nAnswer: 12318000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -ae9a5 (base 16) to base 3\nAnswer: -1100100000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 26 = 3*y. Put 4, -2, y in increasing order.\nAnswer: -2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(2\/7)*(a**0\/a)**48 assuming a is positive.\nAnswer: a**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 560749518 and 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.82 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/12 - (1104\/(-9))\/4. Suppose 0 = 5*q + 5*q - m. Suppose 0 = -5*x + w + 17, 18 = 4*x - 6*w + q*w. Solve 5 = -r, -x*f - 5*r - 45 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704624760 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*g + 367 + 88 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = 50*d - 20*d + 137 + 154 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 674 + -4033\/6. Let l(w) be the first derivative of -11 + 0*w**5 + 0*w**4 + a*w**6 + 2\/3*w**3 + 0*w + 0*w**2. What is the third derivative of l(c) wrt c?\nAnswer: 660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*c, 0 = 5*u + 5*c - 171 - 364. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -19, 2\/3, -675, -4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i + 8*i - 2*i)*(4 + 3 - 5) + (-i + 4*i - i)*(2 - 5 - 8))*(1 - 1 + 1).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13))**(2\/5)\/(v**(-14)*v**(-18)) assuming v is positive.\nAnswer: v**(2084\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 471110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 101 (b) -7 (c) -1\/4 (d) -1\/2 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 + (2 - (-4 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 16*a - 8. Is v(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 4, t: 6, y: 6}. Give prob of sequence thyy.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4888)\/(-141) + 3\/(63\/(-14)). Find r such that 20 + t*r + 11\/2*r**3 + 21*r**2 + 1\/2*r**4 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*o**4 + 328*o**2 - 901722 wrt o.\nAnswer: 220*o**3 + 656*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308) + (sqrt(308) - (sqrt(308) - (sqrt(308)*-1 - sqrt(308))) - sqrt(308)))*-3 - sqrt(308))\/(-4*sqrt(7)*2 + sqrt(7)).\nAnswer: -10*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38572211 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -654 + 654.0080788. What is f rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 126, 210, 246, 228, 150, 6?\n\"Answer: -r**3 - 18*r**2 + 145*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-8)\/24)\/((-1)\/237) + 1 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b**2 - 2*b**3 + 1)*(-2*b + b + 0*b)*(-3 - 1 + 6).\nAnswer: 4*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1302*q + 65 = -1301*q + 5*z, -4*q - 6 = z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 320, 293, 248, 185, 104?\n\"Answer: -9*j**2 + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4819?\nAnswer: 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 45371?\nAnswer: 45376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1041 - 1043. Let t(b) = 3*b**2 + 4*b**3 + 0*b**3 - 1 - 3*b**3. Let p be t(i). Solve -p = a - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (5*(sqrt(68) - sqrt(68)*-2))\/(-2*sqrt(144) - sqrt(4))).\nAnswer: 90*sqrt(17)\/13 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24716.\nAnswer: 2, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1341 = 17*o - 4520. Let m = o - 136. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**3 + 64 - f + 3*f - 118 to i*f + u + z*f**2 + p*f**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 764*x**6\/3 + x**4\/4 - 12*x**3 - 7*x**2\/2 + 5816. Find the third derivative of y(k) wrt k.\nAnswer: 91680*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*h**3*x**2 - 183*d**3*h**2 - 9*d**2*h**3*x - 2687*d*h**3*x**3 + 12*d*x wrt x?\nAnswer: 2*d**3*h**3 - 16122*d*h**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96305.17km in nanometers?\nAnswer: 96305170000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2563388 and 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4050 = -3*r + 3*i, 3*r + 7*i = 2*i + 4082. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 58 = 59. Solve -4 = -5*f + x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 40, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9440 by 42.\nAnswer: 4720\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38679965 divided by 7735993.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 123?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.9143 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**3\/9 + 8*c**2\/9 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f + 485 - 1094 = 0 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1868792 - -9310757\/5. Let u = f + 6687. Which is smaller: u or 47?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**2 + 19*u - 31. Let k(z) = z**2 + 4*z - 6. Let i(n) = 2*g(n) - 11*k(n). What is i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(1 - 2 - 2). Let c be -2*1 + (-3)\/p. Let y(h) = 7*h**2 + h + 1. What are the prime factors of y(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 + 0.08. Which is the nearest to v? (a) 0 (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 684969 and 915.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -2387867.\nAnswer: -22\/2387867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.124 - -3.\nAnswer: -8.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 363572 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*s + 13380 = 0, 34*s - 5341 = -2*d + 33*s. What is the greatest common factor of 693 and d?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 14) to base 15\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27758.\nAnswer: 2, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1637 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 6 + t + 6*t**3 + 6 in the form c*t**2 + j*t + d + p*t**3 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 817250*a**3 - 3*a**2 + 817295*a**3 - 1634453*a**3.\nAnswer: 92*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 10*u + 51. Calculate z(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1221\/259*(2 - (-4)\/(-3)) - 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 122 - ((-5 - (6 - 12)) + 4)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 22\/9, -0.0021, -0.5, -0.1?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1316181 milligrams in grams?\nAnswer: 0.0001316181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3132\/(-464))\/(9\/48)*(-2)\/2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*m - 579 + 349, 4*m - 20 = 0. Calculate the remainder when 179 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**2 + 200 + 7*h**2 + h**2 + 0*h**2 - 14*h**2 - 97*h**3 wrt h.\nAnswer: -291*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3\/2 (c) 7\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n + 42*n + 2*v = 4*v + 56, n - 2*v - 246 = 6*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 12. Let d be q(3). Solve 4 = 4*v, 3*x - 2*v - 10 = d*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59087.88 nanoseconds in days?\nAnswer: 0.0000000006838875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24302 is divided by 12148.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9538 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1442*q**2 + 615*q. Let m(i) = 11*i**2 - i. Let c(k) = h(k) - 6*m(k). What is the second derivative of c(p) wrt p?\nAnswer: -3016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*z - 4, -4*z - 46 = -z - 5*f. Let s = -3 - z. Suppose 5*d - 4 = 4*d. Calculate the highest common divisor of s and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 53 + -37b?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*t - 987 - 183 = 0, -5*z - 1184 = -2*t. Let d = 350 + z. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + y - 2. Let t(o) be the third derivative of o**5\/60 - o**4\/24 + o**3\/3 + 7*o**2. Calculate 5*t(q) + 4*w(q).\nAnswer: q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**4\/12 - 139*x**3\/6 - 213*x**2 - 1134*x. Determine v, given that g(v) = 0.\nAnswer: -3, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-12))\/(2\/16). Solve -10 = -o*i + 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**4\/12 - 5*c**3\/6 + 5*c**2\/2 - 5*c. Give m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 14*m**4 + 4*m**3 - 4*m**2 - 5. Let b(c) = -29*c**4 - 9*c**3 + 9*c**2 + 10. Let y = 17 + -8. Let p(l) = y*s(l) + 4*b(l). Differentiate p(g) wrt g.\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 32. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51091471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbbk when four letters picked without replacement from {m: 7, b: 3, k: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/120 - 7*o**4\/48 + 3*o**3\/2 - o**2 - 68*o. Suppose v(c) = 0. What is c?\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27601 divided by 1?\nAnswer: 27601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 7. Let l be x(-1). Let j(k) = -8*k + 27. Let u be j(l). Let t(o) = -o**2 - 15*o - 19. What is t(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.0301 - -0.9699. Which is the smallest value? (a) -0.4 (b) -1\/3 (c) 1\/32 (d) -5 (e) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**2 - 43232*a - 103910400 = 0.\nAnswer: -7200, -3608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + 7 + 1)*1. Calculate the common denominator of 4\/10 + 17\/6 and (-2)\/3 - ((-132)\/32 - j).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2695 = -235871*k + 235822*k for k.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9442*m**2 - 1. Let q(w) = 4*w. What is p(q(y))?\nAnswer: 151072*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1725130 and 3.\nAnswer: 5175390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -21*j - 10. Let u = -14480 - -14480. Calculate c(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 11:15 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 1. Let u be f(5). Let w = -10 + u. Let h be 2 - (3 + 24\/w). Put h, 0, 4 in ascending order.\nAnswer: 0, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 + -160. Which is the closest to d? (a) -1\/3 (b) -130 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -2 + 1\/2*k**2 + 9*k. Is r(-7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 0, -1\/4, -0.08, 926?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-34)\/8*-2)\/((-1)\/(-24)) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 10. Let j be m(8). Let l(s) = -5*s**2 + 10 - 10 + 4*s**j. Let r(n) = 3*n. Calculate r(l(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/4 and 1\/1986.\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.61 + 14.6. Sort -0.5, 0.4, q, 3.\nAnswer: -0.5, q, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -2 (c) -3 (d) -25238 (e) 4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*s**4 - 31 + 5*s**2 - 57 + 89 as g*s + d*s**2 + q*s**3 + c + a*s**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3123815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from {z: 3, m: 1, n: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20755 - -22731. Is q a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 8 - 20. Suppose p*f = 2*d - 114, -3*d + 228 = d + 3*f. What are the prime factors of d?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, g: 3, y: 2, v: 7, l: 3}. What is prob of sequence vgv?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371 times -7606?\nAnswer: -25639826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412589 is divided by 536.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2052359 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*b - 74*b = -7920 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 11:31 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0425*-0.3.\nAnswer: -0.01275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 1665.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 13*s + 1. Let j be v(-7). What are the prime factors of (-9)\/(-2)*(-424)\/j?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 532*p**3\/3 - 943*p**2\/2 + 26*p + 3. What is the first derivative of v(i) wrt i?\nAnswer: 1064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**4\/4 - 2*i**2 - 1. Suppose -4*q + 4*g = 0, -4*g + 7*g + 28 = -4*q. Let b(n) = n**3 + 5*n. Calculate q*b(f) - 5*v(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - f**2 + f. Let j be r(2). Let t(s) = -s**2 + 7*s + 29. Is t(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 e, and 1 f when three letters picked without replacement from ugkuepfp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052510?\nAnswer: 2, 5, 105251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-164)\/(-3)*(-12)\/(-112).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713286 divided by -51?\nAnswer: -13986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 3*x - 2. Let m be i(4). Let y be 2\/9 + 50\/m. Solve 3*a - 4*a - 2*r = -y, a - 3 = -r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -34 - 416. Let u be 2\/(-15) - (-7779)\/m. What is u rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9045 and 2747?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - p - 5, -3*w + 20 = 3*p - 7*p. Solve 6*v - 4 - 8 = w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 + 1632*s - 11228 = 0. What is s?\nAnswer: 7, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - c**3 + c**4 - 2*c**2 + 5 + c**4 in the form z*c**2 + l*c + v*c**3 + r + p*c**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 6:39 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55646 (base 8) to base 14.\nAnswer: 879c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 215 = z, 34*n - 35*n + 379 = 4*z. Factor -z*m - 2 - 2401\/2*m**2.\nAnswer: -(49*m + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 186*((-3)\/(-6))\/1. Let s(g) = -2*g**3 - 2*g**2 + 3*g + 4. Let r be s(-3). Calculate the highest common factor of m and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - -22?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 684 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5496037.\nAnswer: 173, 31769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -353 - -353.1351. Round v to 3 decimal places.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -242, -499, -780, -1097, -1462, -1887, -2384, -2965?\nAnswer: -3642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.624 in 2, 0.3, -0.04, 4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39135402, 39135396, 39135390?\n\"Answer: -6*l + 39135408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -748*x**3 + 35*x**2 + 6*x - 9. Let j(z) = 499*z**3 - 25*z**2 - 4*z + 6. What is 7*j(m) + 5*v(m)?\nAnswer: -247*m**3 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 4:05 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkokpkqpkkkpkppkzkk. Give prob of picking 1 z, 1 q, and 1 k.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 6*t**2 + 38*t + 31. Determine k(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-15))\/((2 + -1)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46565 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9096?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 74596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 4\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 58 = -5*a, 0*a + 32 = -1138*r + 1136*r - a for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 47*x**2 + 132*x + 19. Does 3 divide k(-44)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 + 37 - 11*j**3 + 3*j**2 - 3*j**3 + 4*j**2 - 5*j**2 to z*j**2 + o*j**3 + t*j + m and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064705801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174760 + 690844 = -5932*b for b.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**5\/20 - 5*o**4\/12 + o**3 + 5*o**2\/2 + 5*o. Let r be l(-6). Solve r*g - 14 = -4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -328*w - 84*w - 162*w - 64*w + 1914 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2848 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182512 - 5876*s**3 + 182512 + 2198*s**3.\nAnswer: -3678*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-0.078.\nAnswer: -1.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -58*o - 14. Let l be f(-11). Suppose -3*x + l = 3*x. Is 52 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4f4a2c (base 16) to base 3.\nAnswer: 100210000000202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*z = -z + 16784, -3*z + 16794 = 2*p. Suppose -20*k + 14*k + p = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -54 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1475753, 2954382, 4433009, 5911634, 7390257, 8868878, 10347497?\n\"Answer: -f**2 + 1478632*f - 2878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/14 + 1196\/(-182). Let w(h) = h**2 + 9*h + 21. Let z be w(u). Suppose 4*q = -4*t + 248, 5*t = z*q + t - 200. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 - 34. Suppose 10*u - b = 125. Suppose o = z - u, -4*o = 3*z - 8*z + 80. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3459068 and 2?\nAnswer: 6918136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-60)\/2*((7 - 16) + -66)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203\/30 + -37\/6. Which is greater: j or -2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4602.61 minus -468?\nAnswer: -4134.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 15*c**2 + 18*c - 14. Give r(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/30 - 7*g**3\/15 + 6*g**2\/5 + g. Determine p so that v(p) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 2.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**7\/15 - t**4\/8 - 16*t**2. Find the second derivative of y(l) wrt l.\nAnswer: 168*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283540000 rounded to the nearest one million?\nAnswer: 284000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-3)*6\/(-4). Suppose -l + 5*d - 2 = 0, 2*l + c = 3*d - 2*d. Let r be l\/(-5) - 332\/5. Round r to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 0*q**4 + 2*q**4)*(18 - 3*q - 12 - 14).\nAnswer: -3*q**5 - 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 695\/330264*44*9\/(-5)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/54 + (-1004050)\/(-9450). Let s be (-632)\/(-6) + (-2)\/6. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 288 + -201. Let j(u) = -20*u**2 + 103*u + 50. Calculate the remainder when t is divided by j(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000000011000111011 (base 2) to base 11.\nAnswer: 32a116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -131*-934711\nAnswer: 122447141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*u, 3*y - u - 2*u - 18 = 0. Sort -4, y, 0 in descending order.\nAnswer: y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 - h**2 + 3*h - 6. Let c(u) = -u**3 + u**2 + 1. Let s(b) = 4*c(b) - m(b). Let x be s(5). Sort -1\/3, x, -4 in descending order.\nAnswer: -1\/3, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -49?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -198*g - 30628. What is t(-154)?\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*j**2 - 139*j**2 - 26*j**2 - 2*j + 5*j to the form s*j + m*j**2 + w and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5690181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -526*b*h**2*i + 5*b*h**2 + b*h*i**2 + 8*b*h*i + 5616530*h**2*i**2 + 18*h**2*i - h*i + 2*i wrt i?\nAnswer: 2*b*h + 11233060*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**3 + 3*k**2 + 10*k + 6. Let o(s) = -6*s**3 - 3*s**2 - 11*s - 7. Calculate 7*c(i) + 6*o(i).\nAnswer: -i**3 + 3*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y**2 + 18*y + 41. Let a be q(-4). Calculate the highest common divisor of 952 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32443.\nAnswer: 32443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41344, -41389, -41452, -41539, -41656?\nAnswer: -41809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**5 - r**4 - r**2 - 1. Let g(a) = 9*a**6 + 2*a**5 + 2*a**4 - 3*a**2 + 2. Let w(n) = -g(n) - 2*m(n). Find the third derivative of w(z) wrt z.\nAnswer: -1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1634818, -1634808, -1634798?\n\"Answer: 10*q - 1634828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -3.39 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = -n, 4*x + 240 = -4*n. Let a = x - -55. Let t(u) be the first derivative of -u**4\/4 - u**3 - u**2\/2 - u + 3. What is t(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -2)\/((-12)\/(-8)). Suppose w*z = -z + 42. 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: Solve 0 = 4*m - 5*k + 11, 4*m + 8 = -77*k + 81*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-1) + 13 - 18\/2. Let x be 11\/((-44)\/24)*v\/42. Factor -2\/7*t - x*t**3 + 6\/7*t**2 + 0 + 2\/7*t**4.\nAnswer: 2*t*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1. Let u(y) = 16*y - 1. What is u(k) - z(k)?\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53675366 or 53675363?\nAnswer: 53675366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-10))\/1 - 1\/2. Let y(a) = -4*a - 581. Let r(f) = -f. Let i(z) = 5*r(z) - y(z). Is i(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -28 - ((8 - -4) + (-10 - -8))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 3*v + 0*v + (-3*v - 2*v + 3*v)*(-7 + 0 + 2) + 4*v - 2*v - v - 718 - 124*v + 718.\nAnswer: -112*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/23)*g**(-13))\/((g\/((g*((g\/g**(-4\/7))\/g*g)\/g)\/g))\/(g**(3\/13)*g)) assuming g is positive.\nAnswer: g**(-25348\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/22 - 601\/66. Calculate the common denominator of g and -58\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55274 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 1.03, -0.1, -2\/13, 58 in descending order.\nAnswer: 58, 3, 1.03, -0.1, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + y + 1 + 3)*(-y + 4*y - 2*y).\nAnswer: -2*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -4\/3, 217, 3, 1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, -4, 0 in ascending order.\nAnswer: -4, -1, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -42490 at least 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -454330 (base 6) in base 11?\nAnswer: -26a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + -5*sqrt(162)*2)\/(sqrt(12)\/(sqrt(2) + sqrt(2) + sqrt(4)\/sqrt(2)) - (sqrt(6) + 1*sqrt(600))))**2.\nAnswer: 19683\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 10*i - 7*i. Suppose -i*u = -343 - 225. Let t = 75 - u. Which is the third smallest value? (a) 0 (b) t (c) 0.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.5 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -17*l**2\/2 - 11*l + 11. What is the remainder when 197 is divided by a(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/2 (b) -5338 (c) 1 (d) 0.03 (e) 1\/2 (f) 13 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0.2 (b) -2\/3 (c) -2\/29 (d) 2\/17 (e) 0 (f) 2.31\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.002 and -9.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.08, -0.55 in decreasing order.\nAnswer: -0.08, -2\/5, -0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/93 and 138\/(-253) + (-9080)\/(-10395).\nAnswer: 5859","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 83, -162, -827, -2122, -4257, -7442, -11887, -17802?\n\"Answer: -35*h**3 + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3588)\/2002 - (-3)\/7. Let d(n) = -n + 1. Let i be d(3). Which is smaller: s or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + 64. Let h = -56 + u. Let s = h + 20. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -144*v**2 - 4 + 585*v**2 + 2 + 2 - 2 as q + a*v + y*v**2 and give y.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 24*p. Suppose -2*o - 3*o + 29 = 2*k, -4*k = o - 13. Let q(g) = 696*g. Let w(h) = o*q(h) - 144*z(h). Let y(c) = -c. Determine w(y(i)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 390*a**3*i + 2*a**3 + a**2*i + 113*a**2 - 617*a*i + 7261*a wrt a?\nAnswer: 2340*a*i + 12*a + 2*i + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = 3*g. Let f be g\/12*3\/(-4). What is the smallest value in f, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -200?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)\/((w**(-1)*w)\/w*w*w)*(w*(w*w**(-3\/2))\/w)**20 assuming w is positive.\nAnswer: w**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1146 - 1151. Let j(t) = -t**2 - 13*t - 28. Let p be j(-12). What is the second biggest value in p, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989339 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/9 (b) -0.4 (c) -0.18 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5664\/320 + 37\/(74\/(-36))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1, -3, 4\/3, 0.039 in descending order.\nAnswer: 4\/3, 0.3, 0.039, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5090 + 3*k + 5090.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15727 * 0.3.\nAnswer: -4718.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2141 + 121 + 3*p - 230 + 849 - 182.\nAnswer: 3*p + 2699","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/35 + 1\/35. Let k be (75\/9*(-10)\/25)\/((-130)\/195). Which is the nearest to 2\/9? (a) g (b) 6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3783 less than 5038694029?\nAnswer: 5038694028.6217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 165 = 5*c, -10*g + 6*g + 135 = c. What is the smallest common multiple of 4 and g?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*m - 363*m + 184*m.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 74*d + 37446. What are the prime factors of h(0)?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0517597985 to 4 decimal places.\nAnswer: -0.0518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (208\/117)\/(-16)*3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 21 - 1 = 17*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(684))*3 + (-1 + sqrt(684))*-2)*-1 + 2)**2.\nAnswer: 36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 + 244. Suppose -m - 67 = -6*k. Suppose -k = -9*q + 38. Calculate the highest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3 - 7416*a**2 + 7377*a + 88956 = 0. Calculate a.\nAnswer: -3, 4, 2471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1282458 in -5, -2, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2185 and 7935?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*k - 701 - 10 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 9886 - i + 5434.\nAnswer: -3*i + 15320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -5. Suppose -5*l + 4*l = 3. Is -11*z*l\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 70*z**2 - 220*z + 86. Give d(-73).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = -2*a + 6, 9 = 3*a + 32*m - 30*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43368063 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3813 + 3838. Solve 75 + x = 25*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*p - m, -4*m = -0 - 16. Let f(y) = -y - 11. Let q be f(-12). Suppose -11*h - 21 = 23. Put p, q, h in descending order.\nAnswer: q, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 618883127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/154440 and 73\/13108446.\nAnswer: 2883858120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by -5*(4\/10 + -4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -4*v + 8, 2*l = 3*v + l - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-3)*7*1. Is 4\/14 + (-231)\/a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0 + 23\/6*f**3 + 2*f - 10*f**2. What is the remainder when 194 is divided by k(3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 7*o - q = 977, 0 = -2*o - 5*q + 1989. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 4*m**2 - m + 3. What is v(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-151 + 83 - -40) + 81?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*n = -151*n - 60. Suppose -2 = -c - 7. Suppose -19 = -3*i + 2*z - z, -4*i - 4*z = -4. Sort c, i, n.\nAnswer: c, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 b when three letters picked without replacement from pbjzbdjhzhjpbzj.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.6293 - -4.629280701. Round l to 7 decimal places.\nAnswer: -0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -1172\/15. Let b = 5 + -3.5. Let h(n) = -69*n - 1385. Let z be h(-20). What is the closest to 0 in y, z, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 - 5*y**2 + 286*y + 10. Let n(v) = 2*v**3 + 4*v**2 - 285*v - 8. Calculate -4*m(o) - 5*n(o).\nAnswer: -2*o**3 + 281*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 - 7*w - 7. Let k be m(-5). Suppose -5*z + 14 = k*v, 4*v + 2*z = -v + 36. Let y be v\/2 + 2 + -2. Let j(f) = -f - 4. What is j(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7320038*y**3 + 63*y - 350 wrt y?\nAnswer: 43920228*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 54*j + 99. Let x be d(-4). Which is bigger: x or -1183\/10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = 0, i = 4*o - 6 + 13. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igte when four letters picked without replacement from eeeeeregrieietii?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*u + 22 - 11, 6 = 2*u + 3*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.500554 and -0.3.\nAnswer: -5.800554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/3, -8, -19 in ascending order.\nAnswer: -19, -8, -2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*b + 18*b + 21*b - 2*b**4 - b**3)*(-13 - 14 - 2).\nAnswer: 58*b**4 + 29*b**3 - 203*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3889015425 to three dps.\nAnswer: -0.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -101408492*k + 101568652 wrt k?\nAnswer: -101408492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 214 - 182 + 233 + 126 to the form d + g*j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*u - 8 = 0, 4*p + 47 - 31 = -u. Sort 375, p, 1 in ascending order.\nAnswer: p, 1, 375","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2065153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 83*h**2\/2 - 4*h - 195. Let c(u) = -18*u**2. Calculate c(s(k)).\nAnswer: -124002*k**2 + 11952*k - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 11 + 1 = 0. Suppose -s - l + 8 + 0 = 0, i = s + 2*l. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 + (-9 - -12))*-7297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 13*l**2 - 47*l - 5. Let p(h) = 7*h**2 - 25*h - 3. Determine 3*n(u) - 5*p(u).\nAnswer: 4*u**2 - 16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*-2 - sqrt(16))\/sqrt(8) - (sqrt(56)\/sqrt(4))\/sqrt(7) - (sqrt(8)\/(sqrt(12)\/sqrt(27)))**2.\nAnswer: -18 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 2\/13 (b) 1\/16 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28442312.\nAnswer: 2, 107, 149, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5*u = 5. Let c(k) = 4 - k**3 + 6*k**2 + 2 - u. What are the prime factors of c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68379465 to the power of 1\/3, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 1188?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648*m - 453924 - 403148 = -141680. Is m <= 1110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 1491\/(-27) - 8\/36. Differentiate -179 + 16*r + 54*r + p*r + 4*r wrt r.\nAnswer: 130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 12 = 0, -4*j - 4*y - 78 + 62 = 0. Suppose -5*f + 9 = -1. Suppose -8 = -2*i - f. Solve -j*r - i*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9718109*l**3 - 6183436*l**3 + 311639*l**3 - 3065408*l**3.\nAnswer: -18655314*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p - 9. Let r be d(5). Suppose -4*m - 62 = -r*h + 3*h, m - 5*h + 7 = 0. Let t(k) = -k + 22. Is t(m) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -0.2\nAnswer: 23.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 3*v + 14. Let x(r) = 3 + 9 + 3*r - 5 - r**2 - r. What is -3*f(i) + 5*x(i)?\nAnswer: -2*i**2 + i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/3 + 44*a\/3 + 43\/3 = 0. What is a?\nAnswer: -43, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1340520 is divided by 93.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12289 = -7*u + 5*u, -4*w + 24572 = 4*u. Is u at least as big as 6143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -151, 5.\nAnswer: -151, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*l**3 + 80*l**2 + 79*l**3 - 6*l**5 + l**5 - 80 - 15*l**4 = 0 for l.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 h when two letters picked without replacement from hhllhlhhhhhll.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 34, 33, 32, 31?\n\"Answer: -u + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + r = -107, -13*r - 71 = 3*a - 9*r. Let l(x) = -x**3 - 20*x**2 + 21*x + 3. Let b be l(a). Solve 12 = 3*t + b*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 270 = -2*r, 30*k - 26*k + r = 555. What is the second derivative of 382 + 138*y**3 - 171 - 125 - 3*y - k + 106*y**3 wrt y?\nAnswer: 1464*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -1 + -89 + (28 - -47) - 32.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*g - 928 = -919, -p + 3*g + 17 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4534 + 4530. What is the smallest value in l, -24, -11?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(2088\/(-87)))\/22?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.28, 1\/3, 243382?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3)\/(21 + (-930)\/45). Sort -2, -10, t, 5 in descending order.\nAnswer: 5, t, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*((-36200)\/(-6032) - 6). Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 3 + 3 + (0 + 3 - 1)*(2 - y - 2) + 2*y + 3 - 3 + y + 3*y + y)*(3 - 4 + 4) in the form s + c*y and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 394 + 5?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00447841695 rounded to six dps?\nAnswer: 0.004478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19\/11 + 2. Put -2\/13, -5, n in descending order.\nAnswer: n, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1616 and 4141.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6016*d*n + 9594*d + 2*n**4 wrt n?\nAnswer: 6016*d + 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q**11*q)\/q*q\/q**(2\/57)*((q**4*q)\/q*q)**(-17) assuming q is positive.\nAnswer: q**(-4106\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-765)\/360*(26 - 2).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -8. Let v = p + 5. Factor -3*u**2 - 3*u + 0*u**3 + 3*u**4 + v*u**3 - 3*u**3 + 0*u**2.\nAnswer: 3*u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.33 - -0.17. Let t = q + -2.4. Which is the closest to t? (a) -2 (b) 2\/7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4725 and 39025?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4222927.\nAnswer: 4222927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 322824 and 6124.\nAnswer: 328948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**5\/30 - 2*r**4\/9 + 5*r**3\/9 - 2*r**2\/3 + 3*r - 1. Let a(v) be the first derivative of q(v). Factor a(t).\nAnswer: 2*(t - 2)*(t - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 400.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 6*o + 7. Let i be c(-5). Let z = -4645\/328 - -63\/41. Find the common denominator of i*-1 - (-61)\/16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111010001100011 (base 2) in base 3?\nAnswer: -102111120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -129.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -1. Let m = j - 1. Is ((-2)\/m)\/(3\/102) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 24 = 2*g, -59 = -101*b + 99*b + 9*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, -334, -419, -536, -679, -842, -1019, -1204?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 15*n**2 - 17*n - 12. Let x be o(-16). Suppose -m - 7*i - 13 = -4*i, 0 = x*m + i - 3. Calculate the smallest common multiple of m and 29.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4948\/33 - -451\/3. Let y = v + 496\/165. Suppose 2*x + 21 = 3*o + 5*x, 2*o - 5*x = -7. Does y = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4361057453.\nAnswer: 9239, 472027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from {r: 1, c: 2, s: 14}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1 (c) -0.65 (d) -26 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 188182 or 7339151\/39?\nAnswer: 188182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from uuvzugzgdg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 + 27742*h**2 - 360775*h + 1110200.\nAnswer: (h - 8)*(h - 5)*(h + 27755)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 109, -1, -2\/7, -3\/4, 7, -1\/43?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 7*k**2 + 5*k + 9. Does 11 divide p(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*y**2 + 476*y?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*-1)\/sqrt(2) - sqrt(33))\/((sqrt(33)\/sqrt(3) + sqrt(11))*-2).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -698, -1811, -3374, -5441, -8066, -11303?\nAnswer: -15206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -368713\/1995 + 6477\/35. Find the common denominator of h and -55\/13.\nAnswer: 3705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 1219021302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5, 3*n = -0*l + l - 235. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16809843 or -16809841?\nAnswer: -16809843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16056 and 22500?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4 = 4*y, 0 = -846*w + 847*w + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-284)\/(-8) - (-6)\/4 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -2, -162.8, -1\/4, 1 in descending order.\nAnswer: 1, 4\/5, -1\/4, -2, -162.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -85545515.\nAnswer: 3\/85545515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64051934*g + 71935904.\nAnswer: 64051934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -206.0721 to zero decimal places.\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 22 = 4*d - 2*d, 0 = -5*d + 4*i + 9. Let g(s) = -12*s - 104. Let c be g(-9). Solve -w - 3*w + d*a = -18, 0 = -w - 3*a - c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118985, 118596, 117949, 117044, 115881?\nAnswer: 114460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/13 (b) 3 (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(1872) - (sqrt(1872) - (0 + sqrt(1872)))) + 5 - sqrt(1872) - sqrt(1872)*1*5) + -4)*-4)**2.\nAnswer: -1920*sqrt(13) + 748816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2 + 6*n + 4. Give b(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2361 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -3*t - t. Suppose 0 = -13*h + t*h - 16. Suppose -5*y - h*d = -934, -2*d + 6 + 182 = y. What are the prime factors of y?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.2 (b) 8 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:29 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1315.4 + 1315. Which is the closest to 1? (a) k (b) -2 (c) -12 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 3 - 1)*(-2*v - v + 2*v) - 6*v - 3*v + 5*v - v + 3*v - 4*v + 2*v - 1 + 1)*(3 + 0 - 5) to o + s*v and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 193826 to the power of 1\/2, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -5 + 6*s + 2 + 11 + 1 + 1. Calculate q(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 51750 - 7*k - 44678.\nAnswer: -8*k + 7072","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 314 - 64 = 0. Suppose -7*x = -3*x - 2*k - j, 0 = 3*x - 2*k - 42. Find the third derivative of 7*h**4 + 0*h**4 - 4*h**2 + x*h**4 - 18*h**2 wrt h.\nAnswer: 456*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 7, y: 4, j: 1}. Give prob of picking 1 j and 1 w.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457017 is divided by 103.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + 2. Let s be n(-2). Let a be (-442)\/(-65) - (-2)\/s. Suppose a = h - 18. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 247009\nAnswer: -74102.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2*r = -3*n + 22, -5*r + 14 = n. Let u be r\/(35\/165*(-2)\/(-7)). Let o = 39 - u. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 - 3*k. Let q(n) = 28*n**2 + 20*n. Let m(g) = 20*p(g) + 3*q(g). Let z(o) be the first derivative of 2*o**3 - 15. Give m(z(x)).\nAnswer: 144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 32 + 19*z + 18 - 6*z**2 - 10 + 5*z**2. List the prime factors of n(17).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98728.43 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2914375 is divided by 242811.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -69888027 less than 24.793663?\nAnswer: 69888051.793663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/13, -1025?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**5 - 4*n**5 - 2*n**5 - 3*n**5 + 4*n**5 - 3*n**5 + (3*n**5 - 5*n**5 + 3*n**5)*(-1 + 4 - 1) + 3*n**5 + 0*n + 0*n - 5*n**5 + 2*n**5 + 6*n**5.\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -16805\nAnswer: -16811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 58528 divided by 8?\nAnswer: 7316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k - 2*k)*(196*k - 196*k - 31*k**2) + k**3 - k**3 - 2*k**3.\nAnswer: 122*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(35)\/(2*sqrt(35)\/sqrt(5)) + (sqrt(420)\/(sqrt(12) - sqrt(12)*-1))\/sqrt(7))*-3.\nAnswer: -3*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*m + 2 = 101*m - 4*f, -3*f = 5*m - 16. Solve -24*u - m = -22*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3110)\/300 - -9 - (-18)\/15.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -3216522389.2.\nAnswer: 3216522390.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Divide -108110 by 95.\nAnswer: -1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 10332573225.\nAnswer: 10332573219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z - 5*z**5 + (-3*z**2 - 6*z + 6*z)*(-z**3 + 3 - 3) - 5*z**5 + 3*z**5 + z**5.\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -185a6 (base 15) to base 3\nAnswer: -11000020110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10310\/(-45)*-3)\/(1\/(-9)). List the prime factors of 4\/5 - v\/30.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -389 - 394 + 783 - 2*m**2 + 414*m in the form x*m**2 + r + l*m and give l.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25\/9*x - 7\/3*x**2 - 4\/9.\nAnswer: -(x - 1)*(21*x - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*g + 6. What is the remainder when (0 + 2)\/(2\/3) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38679 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by 21618\nAnswer: 187\/21618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -29. Let p(j) = 2*j + 4. What is p(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 633\/1154 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-3)*g*g**(-3\/7)\/g assuming g is positive.\nAnswer: g**(-17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (168\/(2 - -1))\/(22\/11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 7 - 8 = 0. Suppose -4*w + 5*k - k = 128, -2*w + k = 63. Let y = l - w. What is the smallest common multiple of 8 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*u + 1346, 13 = -u - 5*l + 485. List the prime factors of u.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*u - 3. Solve u*o - 4*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + 5b0?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/11 + 6*j**3\/11 - 18*j**2\/11 + 10*j\/11.\nAnswer: 2*j*(j - 1)**2*(j + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h**2 + 9*h - 7. Let o(t) = -t + 4*t**2 + 11 + 9*t**3 - 22*t**2 - 8*t**3. Let l be o(18). Let r(p) = -5*p**2 + 5*p - 4. Determine l*r(q) + 4*a(q).\nAnswer: -5*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*b = 2845, -8*b + 13*b - 14255 = -5*h. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 925, 915, 893, 853, 789, 695, 565?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*g - 1941 = 269 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (59 + 41 + -16 + -49)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 12*f. Suppose -2*g = -2*t - 4*g + 4, 0 = -3*g - 6. Let x(r) = 2 - t + 2 - 5*r**2. Calculate x(k(m)).\nAnswer: -720*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 22 - 10. What is the remainder when 7 is divided by (-9)\/y*(34\/(-6) - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -s + 125. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4 + 6. Solve -2*j + 0*j = -i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 26*s**2 - 24*s - 13. Let r be g(25). Solve 5*l + 2*b - r = 5*b, -l + 4*b + 16 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times 0.4\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:08 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqnnjqqjppqnqnppn. What is prob of sequence jqq?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65\/650*26 - 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 300307221 to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 390 and 104?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**4 - 7*i**3 - 56*i**4 + 28*i**4 + 19*i**2 - 2*i - 21*i**2 to y*i**2 + m*i**3 + a*i**4 + z*i + l and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 5*m - 20 + 42 = 0, -54 = -16*r + 5*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 11 = 0, 0 = 2*r - 6*t + 2*t - 84. Calculate the smallest common multiple of r and ((-2032)\/10)\/(-2)*5.\nAnswer: 2540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -27. Let j be 3 - t - 3 - -4. Suppose c + 22 = 5*g, 1 = -j*c - 3*g + 31. Solve -s = 2*p - 6*s - 35, c*s = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 147, 0.4, 4, -1, 2\/19 in increasing order.\nAnswer: -1, 2\/19, 0.4, 4, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125623947 divided by 2427.\nAnswer: 51761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**5 - 75*a**4 + 260*a**3 - 180*a**2 = 0. What is a?\nAnswer: -18, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2001210000 - -20112?\nAnswer: 2002000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 49*g + 302. Let s be p(-6). Which is smaller: -217 or s?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, o: 3, e: 5, h: 6, j: 2, i: 1}. What is prob of picking 2 j?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33, 53, -22, -3, 0.2, -7, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000383 rounded to 7 dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 0 + 1863*n - 1876*n + 6*n**2 - 7*n**2 in the form i*n + h + z*n**2 and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in -0.3, 0.067, 0.5, -3?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 3*l + 4. Let a be o(-3). Suppose 5*f - 5*p = 90, 5*f + 27 = -a*p + 99. What is the highest common divisor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325\/(-91) - -4 - 17\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10192 is divided by 817.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6346839 and 1035739?\nAnswer: 7382578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.106 + -0.026. Let p = -0.58 + z. Let r be 0\/(-1 - (-1 - 1)). Which is the third biggest value? (a) p (b) r (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1116*w**2 + 450*w - 72. Let y(d) = -77*d**2 + 31*d - 5. Let f(t) = 5*l(t) - 72*y(t). Find the second derivative of f(r) wrt r.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/31629 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yynxyhybnyxxg. What is prob of picking 1 n and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(3)*-3*4.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(5\/(20\/8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6435 + 77 = 374*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2558102 divided by -5\nAnswer: -2558102\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/2*(-104)\/325. Let g = 174 + -178. Sort 0.1, y, g, 0.12 in decreasing order.\nAnswer: 0.12, 0.1, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 4. Let n(v) be the first derivative of v - 37. Let b(r) = r + 6. Let f be b(-5). Determine f*w(o) - 6*n(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 9213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -577699*v**2. Let s(g) = 4*g + 1. Determine s(y(w)).\nAnswer: -2310796*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 11) to base 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 98685\/162 + 10\/12. Let f = -434 + a. Calculate the greatest common factor of f and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42304320 (base 7) in base 14?\nAnswer: 693280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5873*b**2*x**2 - 3*b**2 + 10*b - 5*x - 2 wrt x.\nAnswer: -11746*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 433\/5. What is the second biggest value in -9\/5, -0.1, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*s - 2*s - 3*s)*(-4 - s + 4) - s**2 + 3*s**2 - s**2)*(-3*s - 13*s + 21*s + (2*s + s - 2*s)*(4 - 6 + 3)).\nAnswer: 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 807 and 804 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -138575 and -148\/21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -149 + 97 - -202?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -121*g**5 + g**2\/2 - 83*g - 325. Find the second derivative of s(m) wrt m.\nAnswer: -7260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**3 - 51*f**3 + 0*f - 18*f**2 + 41*f**3 + 0*f to the form y*f**2 + a*f + p + r*f**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, 4, -22 in increasing order.\nAnswer: -84, -22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11602551*u + 408. Let o be j(-8). What is o rounded to the nearest 1000000?\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45766 is divided by 864?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*t - 14, -16 + 4 = 3*t. Let d be -3 + -88*6\/(-84). Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -2\/501, 0.5, 17?\nAnswer: -2\/501","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**3 + 3*z**2 - 3*z**2 + (0*z**2 - 5*z**2 - z**2)*(-13 + 3*z + 13) - 4*z**3 + 3*z**3 + 2*z**3 to w + g*z + a*z**2 + s*z**3 and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 2*q**2 + 2*q + 1. Let y(m) = 2*m + 14. Let g be y(-6). Determine z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itqlsvq. Give prob of sequence vi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 13*v - 945. Find the second derivative of 9*f**2 + 11*f - v - 3*f**2 + 105 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2\/5 + 892*b + 497290 = 0 for b.\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1184 equal to -1184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1260*j + 9129. Calculate w(-7).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 29*l**4\/12 + l**3\/3 - 3*l**2\/2 + 5*l. Let x be b(2). What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -299*s - 757*s - 1853*s - 556*s as r + l*s and give l.\nAnswer: -3465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, s: 4, i: 3}. What is prob of picking 3 s?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 281 - 57*q + 56*q - 287. Give u(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6541398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 2*h**2 + 59*h + 273. Let o be k(-4). Put 6.8, 0.3, 0.5, o in decreasing order.\nAnswer: 6.8, o, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3124 is divided by 92?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a year in months?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18 (b) -7\/4 (c) -278\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -7515?\nAnswer: 60120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 156645 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/2 - 7*m**3\/3 + 2*m**2 - 5*m - 1. Let o(l) = -385*l**2 + 21 - 22 + l + 384*l**2 + l**3. Give 5*o(g) - r(g).\nAnswer: 3*g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 5*c + 504. Is 46 a factor of n(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(sqrt(96) - (2*sqrt(96)*4 - sqrt(96) - sqrt(96)))\/((sqrt(16)\/sqrt(2) + sqrt(8))*-3))**2 + 4.\nAnswer: 640\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9238467.967 rounded to the nearest one thousand?\nAnswer: -9238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/10 - 12\/30. Let m = 51 + -305\/6. Which is the closest to -3? (a) m (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-52))\/(57\/6). Let h = 205292\/1729 - a. Let w = 119 - h. Which is bigger: w or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -189 + 102. Let f = -105 + 109. Let g be f*(-3)\/(-18)*y. Round g to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/5 (b) -0.4 (c) 5 (d) 0.4 (e) 4 (f) 13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 58 (b) 3 (c) -6 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1441 - -105?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5902 and 69742?\nAnswer: 205808642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a5ab - 19?\nAnswer: 2a592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14763938 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-12)*(-63)\/28. Let b(x) = x + 5. Let h = -10 + 6. Let d be b(h). Which is smaller: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107 != 1107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*c = -274, -4*h + 553 = -2*c + 17. Let j = h - 95. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3408\/1705 - -338\/155. Let 578\/11 + z*u**2 + 68\/11*u = 0. Calculate u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 19*f + 3. Let m be w(9). Calculate the common denominator of (-735)\/20*(-1)\/m and -125\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3213 and 924.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*p - 83018 + 86000 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 1310*y - 55 = 1295*y, 5*i - 4*y = -40 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.47 - 12.57. Which is the nearest to 4\/3? (a) -2 (b) x (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joo when three letters picked without replacement from {o: 7, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 21274496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 142 - i + 140 - 82*i**2.\nAnswer: -82*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k - 5*w + 170 = 0, -2*w = 6. Let f be (108\/(-63))\/1*7\/2. Let t = k - f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t - 68*t + 21*t - 42*t.\nAnswer: -98*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217764?\nAnswer: 2, 3, 23, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*n - 42*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/11)*f*f*f**(1\/33))\/(f**(-1\/10)*(f**(-10)*f)\/f) assuming f is positive.\nAnswer: f**(3943\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**2 + 10*s - 1. Let b be c(-4). Let v = -33 - b. Let u = v - 27. List the prime factors of u.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-42) + (-19)\/(-7). Let i(l) = -3*l - v - 10 - 5*l. Let t(c) = -5 + 8 - 2*c + 4*c. Determine -2*i(b) - 9*t(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18635316?\nAnswer: 2, 3, 7, 221849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1149562 to the nearest 10000.\nAnswer: -1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) 1\/2 (c) 3\/5 (d) -2\/2197\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -3053563\nAnswer: -1526781.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78.8145268 - 80.774526585. Let g = 1.96 + m. What is g rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2134 + 3898. Does 35 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -25\/2, -30, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370869 is divided by 408.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 0, -5*m + 6*d + 77995 = 9*d. What are the prime factors of m?\nAnswer: 19, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 1:33 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 7*g**2 - 51*g + 17. Let z be m(7). What is the second derivative of -5 - 2*d + d**3 - 28*d**4 + z*d**3 + 0*d + d wrt d?\nAnswer: -336*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 22. What is the highest common divisor of 42 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3778 - -21652. Does 51 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2946.748 centuries?\nAnswer: 294674.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93986 = 2106*z - 8179 - 93693 for z.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, k: 12}. Give prob of picking 3 l and 1 k.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Suppose z - 9 = -2*u, -z - 11 = -2*u + 4. Solve q*j + u = -0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.23 and 536627.05661.\nAnswer: 536628.28661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 330649 - 3?\nAnswer: 330646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y + 2. Let g be (-2)\/6 - 52\/(-39). Let p be d(g). Suppose 2*t = 3*o + 1, -5*o + 3*t - 1 = 1. Put p, o, -4 in decreasing order.\nAnswer: p, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 208461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rerb when four letters picked without replacement from {r: 2, j: 1, e: 2, x: 1, p: 1, b: 2}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1911) - (sqrt(1911) - -1*sqrt(1911) - sqrt(1911)))*-4)\/(sqrt(18)\/(sqrt(6)*2) - sqrt(6)\/(sqrt(4)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 5*b + 8. Let i be d(6). Let t = -3 + 6. Suppose -2*s = s + 5*c - 1595, i*s + t*c - 1063 = 0. What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -6. Suppose -i = -3*w - 3, 2*i - v = -0*i + 4*w. Calculate the remainder when 6\/1 - (0 + i) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*p = -95003 - 33671. What is the greatest common divisor of 196 and p?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6\/(24\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0199 + 4474902.9?\nAnswer: 4474902.8801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 13*o + 3. Let r(x) = -14*x + 10. What is the remainder when r(-11) is divided by k(-15)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -12.5228847491.\nAnswer: 11.5228847491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -1801*g. Let x(n) = 24*n + 2. Calculate u(x(l)).\nAnswer: -43224*l - 3602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3\/(-3))\/(5\/(-95))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, 1\/5, -3 in descending order.\nAnswer: 1\/5, -2.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/14*(-10)\/(-15). Let q = 248 + -246.4. Let s = 0.5 - 1. Sort q, v, s.\nAnswer: s, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7 and -0.773.\nAnswer: 1.3141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/4 - 866491*c**2 + 1732985*c + 6931932 = 0. What is c?\nAnswer: -3465966, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6059 + -3595. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 a when three letters picked without replacement from faicfpav.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 5. Find the common denominator of 2\/(-8) + (-26)\/3 and (-10)\/(-28)*27\/r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2 + -3 - (-5 + 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 0*m**2 + 0*m**2 - 6*m**3. Let z be o(-1). What is the units digit of (-6)\/(-9) - z\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911683831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 5. Let g be h(-3). Let o(w) = -1 - w + 2 - 3. Calculate o(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/41 - -37\/82. Which is the closest to u? (a) -0.4 (b) 2\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1.9, -2, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 11:02 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-24) + (-3)\/9. Calculate the highest common factor of 23 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 4*b**2 + 4*b + 7. Let y be 2 - (-1 - (-6)\/(-3)). Let j be m(y). Suppose -c + j*c = 5. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((2\/(-62))\/(-38*(-38)\/1444)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 401 = 3*b, 3*b - 5*m + 260 = b. Let q = b + 139. Calculate the highest common divisor of q and 84.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2644.04903 + 0.04903. Let k = j + 2644.001151. What is k rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19445.541ns?\nAnswer: 0.00000032409235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2598842?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 - 51 = -2*c - 5*l, 5*l = 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1272 and 196476?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*y + 0*y - 2*y)*(-y - 1 + 1) - y**2 + y**2 - 2*y**2 + 64*y**2 + 11*y**2 + 20*y**2)*(2 - 4 + 0*y**2 - 2*y**2).\nAnswer: -184*y**4 - 184*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37287139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 52 = 148. What is the remainder when 30 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1715) + sqrt(1715)*2 + sqrt(70)\/(sqrt(8)\/sqrt(4)))\/((-1*-2*sqrt(405) + sqrt(405) - sqrt(405) - sqrt(405)) + sqrt(405) + sqrt(405)).\nAnswer: 22*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -611 - -4279\/7. Let d be -63 + (-4)\/(-5) + -1. Let a = d + 62. Sort 0.02, i, a in decreasing order.\nAnswer: i, 0.02, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 13*n**2 - 16*n - 11. Let t(v) = 7*v + 2. Let h be 4 - (1 + -2 - -7). Let a be t(h). Is g(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**2 - 4*a - 4. Let i be c(-7). Let f = -289 + i. Calculate the remainder when f is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/9)\/(((-7)\/(-2))\/7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3833867661.\nAnswer: 3, 13, 257, 382507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.056 and -3479.\nAnswer: -194.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3134619?\nAnswer: 3, 38699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1)*a))**32)**16*(a\/(a*(a\/(a\/(a\/(a*a**1)*a*a*a*a)))\/a))**(19\/3)*a**(1\/4)*a**(6\/11) assuming a is positive.\nAnswer: a**(66017\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, -3\/4, -19 in descending order.\nAnswer: 0.16, -3\/4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*f + g + 2*g, -3*f = g - 3. Suppose -f*x + w = x - 114, -3*x + 3*w = -108. What is the remainder when x is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eefffee?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -691\/2 in 2\/5, 26\/9, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 4*f + 7. Let r(g) = g**3 - 3*g**2 - 2*g - 5. Calculate the remainder when j(4) is divided by r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56888a (base 11) to base 8\nAnswer: -3347157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -11*f**3 + 17*f**2 + 4*f + 13. Let g(z) = -z**3 - 8*z**2 + 6. Let t be g(-8). Let x(a) = 5*a**3 - 8*a**2 - 2*a - 6. Give t*k(q) + 13*x(q).\nAnswer: -q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*y**2 - 129*y**2 + 163*y**2.\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -8, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262135 (base 7) to base 9.\nAnswer: 73821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*z + 33, -3*z + d - 37 = -5*z. Let i = z - 5. Calculate the remainder when i is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**3\/3 - 761848*c**2\/3 - 2285530*c\/3 - 1523684\/3 = 0.\nAnswer: -380921, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -108*s**3 - 93348*s**2 + 3234525*s - 27481494 = 0. What is s?\nAnswer: -898, 101\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 2*l + 1. Suppose -3 = -5*u + 2. Let z be b(u). Suppose 0 = -2*y + 3 - z. Sort -0.5, y, 2\/3 in decreasing order.\nAnswer: y, 2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y + 68. Let c = 21 - -40. Calculate the remainder when c is divided by w(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56862067 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -1\/20*r**5 + 0 - 1\/12*r**4 - 8*r + 1\/6*r**3 - r**2. Let g be (-1 - -1)\/((-28)\/(-7)). Give w(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1480 and 8880.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 5*o, -6 - 25 + 7 = -4*c + 2*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -977, -1086, -1245, -1448, -1689, -1962, -2261?\nAnswer: -2580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l + 51*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -2*c - 40. Let a be (-1)\/(3\/c*-2). Solve 4 = 5*n - a for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000100111011101 - 10?\nAnswer: -110000100111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a**3 - 4*a**2 - 8. Let x(s) = 3*s**3 - s**2 - 3. Give -14*x(m) + 4*z(m).\nAnswer: 2*m**3 - 2*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -s - 37, -i + 21 = -s + 8. Let y(r) = r**3 - 6*r**2 + 8*r - 4. Let b be y(5). Calculate the remainder when (b + -1)\/(8\/16) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2262, 2241, 2206, 2157, 2094?\n\"Answer: -7*u**2 + 2269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 968 - 968. Let p be 7 + m\/(3 - 4). Suppose 3*f + 1 = 2*q - 4, 0 = -2*f + 2. Solve 2 = -b + c, 2*c - 17 + p = q*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 9*q**2 - 8*q + 2. Let a be r(-8). Suppose p = 3*g - 8 - 1, -a*p - 8 = -g. Is 18 a factor of p\/3 - (-45 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a\/((a*a**(-1))\/a*a))\/a)*a)**27)**(-4\/3) assuming a is positive.\nAnswer: a**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4437*r + 9983*r + 5758*r + 7373*r to m + n*r and give n.\nAnswer: 18677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(147)*-1 + (1 + sqrt(147))*-4 + sqrt(147) + (-1*sqrt(147) + sqrt(147))*4 + 4 + sqrt(147) + 1 + sqrt(147) + sqrt(147))**2.\nAnswer: -14*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5830409399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/16)\/9 + 33\/(-8). Does 49 divide 175 - ((-1)\/i + (-90)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.04 and -180191.\nAnswer: -187398.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/42)\/4*(-163478)\/7006200\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 965418 (b) -4 (c) -1.1 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(18\/(-56))\/(169\/((-39884)\/6195)).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**3\/3 - 2*s - 39. What is f(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26 + 6)*((-3897)\/12)\/3. Calculate the highest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183571 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggv. Give prob of picking 2 g.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(1 + 852\/(-8)). Let g = t + 337. Calculate the remainder when g is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 6, 361, 3.\nAnswer: -1, 1, 3, 6, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**2 - 6*j + 6. Let l(b) = 391*b - 779*b - 9*b**2 - 17 + 405*b. Give 6*l(t) + 17*n(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(1\/4)*j)*j**(3\/5)*(j**(-1)\/j*j)**(12\/7))\/((j*j*j*j**(1\/3)*j)**(-44)*j**(-6)*j**3) assuming j is positive.\nAnswer: j**(80557\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1390*s - 1388*s = 14 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d + 4*d - 15*d + (5*d + 3 - 6 - 4*d)*(2 - 3 - 1) - 3*d - d + 5*d + (3 - d - 3)*(2 + 2 + 3) to f*d + x and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 167 - 15. Calculate the lowest common multiple of (7 - 8\/1) + 3\/1 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 + 10*p**2 + 22*p + 16. Let b be a(-6). Suppose 0 = -0*u + 4*u - b. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257615041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2 = 6*i - 7*i, -3*z + i + 2 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 24. Solve -3*u = -3*f - f + i, u + 10 = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -620*f + 546*f + 15984 = 0. Calculate the remainder when 219 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/308012 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-411)\/7 + 4\/(-14). Let f = -20 - m. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19925 divided by -5.\nAnswer: 3985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.6, 0.09, -5, -11, 2635?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 619242 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 1, -3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13322233 - 2211131?\nAnswer: -22200030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12233431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 16. Let l(b) = b - 17. Let h(z) = 3*l(z) - 2*m(z). Let q(d) = 3*d - 9. Calculate -4*h(r) + 7*q(r).\nAnswer: r + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 38. Suppose 0*h = 2*h - a. Is (-1225)\/(-21) + (-2)\/h a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1822 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56378.83 grams to tonnes.\nAnswer: 0.05637883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36049193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 3. Let c be (2 + 15\/(-10))*6. Let o(v) = -3*v**2 + 2*v - 4. Let p be o(c). Let j = p - -22. Determine x(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -32\/3 - 2\/9*t**2 - 38\/9*t = 0?\nAnswer: -16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60915.74025 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04 + 8949.99.\nAnswer: 8950.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w**2. Let q = -65 + 67. Let h(t) = -36*t**q - 32*t**2 + 61*t**2. What is l(h(g))?\nAnswer: 294*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.223 * 4.\nAnswer: 0.892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0.637?\nAnswer: -4.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(((sqrt(104)*-1 - sqrt(104)) + sqrt(104))\/sqrt(2))**2*5.\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a - 1. Let c(i) = -21*i + 3. Let k(g) = c(g) - 4*t(g). Give k(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*4\/(-4)*170. Suppose 2*x - i = -0*x. Suppose -3*g = 2*g - x. What is the highest common divisor of g and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 11:54 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 18. Suppose -8 = 4*i, -22 + x = -5*v + i. Suppose -p = 3*k - v*p - 78, 5*k + 2*p = 95. What is the remainder when 39 is divided by k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*p = -13 + 2, 0 = -4*u + p + 11. Let j be (0 - -1)*2 - 1. Do j and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o + 631 = -337. Suppose -2*d + 30 = -f - 27, 0 = 3*d - f - 87. What is the least common multiple of d and o?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - 1017 + 1018 + 2*i + 0*i**3 + 41*i**3 in the form k + t*i**3 + j*i + x*i**2 and give t.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6263 and 6.\nAnswer: 37578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (26\/(-30) - -1)\/(36\/(-118)). Let k = 1\/27 + d. Let b = 2 + -6. What is the biggest value in 1, k, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 2, t: 1, i: 1, q: 1, o: 1}. What is prob of picking 1 n, 1 i, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 6, h: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 67822, 135631, 203440, 271249, 339058, 406867?\n\"Answer: 67809*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1525 and 62950.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 100. Suppose o + 70 = 8*j - 4*j, -2*j = -4*o - l. Calculate the remainder when 40 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10977 + 11098. Let x(d) = -10*d**2 - 4*d - 3. Let k be x(-3). Let f = k + l. Solve g + 6 = -z, -4*z - 5*g + 13 = f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-2\/3)*x*x**(-8)*x*((x*(x*x**(-2)\/x*x)\/x)\/x)**(-2\/17) assuming x is positive.\nAnswer: x**(-277\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u. Let l(g) = -1275*g**2. Calculate v(l(a)).\nAnswer: -6375*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 4*z + 110 = 0. Let r = -3033\/290 + -6\/145. Is r <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f + j = 6, -4*j = 3*f + 20. Let c = f + 14. Solve -3*t = 0, 0 = 5*w + 4*t + t - c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1390*9\/(-360) + 34\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*v + 887 + 1237 = 584 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 86410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 250 - 221 + 7*y + 60 to i*y + z and give z.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 960 divide 4191360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12240*b - 3050*b - 3584*b + 244*b to z + g*b and give g.\nAnswer: -18630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34080)\/(-4240) + 10\/(-265).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45421?\nAnswer: 53, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-60))\/((-16)\/30))\/((-1356)\/3616)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 28\/1653?\nAnswer: 28\/1653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + (1 + -8)\/1. Let a = -120\/11 - m. Calculate the common denominator of -1 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/44 and -85\/3397346?\nAnswer: 74741612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1759 rounded to two decimal places?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 357 + 27 = 0. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987 a factor of 228461308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 101, 177, 271, 383, 513, 661?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 100283811*q**5 - 25*q**2 - 36*q + 3239 wrt q?\nAnswer: 6017028660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -90*h + 8305659 - 8309799 for h.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18695 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 9:29 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.63 + -0.37. Which is the third smallest value? (a) j (b) 1\/11 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdqjqjdqjdjwdqqjwdj. What is prob of picking 1 j and 1 d?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -14 (b) -48061 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.37 + 1.93. Let p = 0.882 - 0.782. Which is the nearest to p? (a) 5 (b) 2\/13 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0, 0.07, 0.5 in ascending order.\nAnswer: 0, 0.07, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**4 - 1308*k**3 + 183592*k**2 = 0.\nAnswer: -433, 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2 - (-47 + 49)) + -2 + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + 13. Is 4*(3 + a\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.2, -2\/7, 54, -2\/5?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**3 - 2*p**4 + 53835 + p**2 + p**3 - 53828 to the form x*p**4 + w + r*p**3 + g*p + t*p**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1906, -5, 15681 in decreasing order.\nAnswer: 15681, 1906, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 436 divide 10406012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*x + 3*c, -11*x - 3*c + 11 = -10*x. Let w(y) = y + 0*y - 2*y. Let j(o) = -4*o**2 + 2. Let p be j(2). Let n(b) = b**3 - 7*b. Give p*w(t) + x*n(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41 + 14. Let g be (-3)\/r - (-161)\/9. Which is smaller: g or 69\/4?\nAnswer: 69\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 4*c = -4*f - 8, -2*f = -3*c - 6. Let n be 257\/(-3) - f - 3\/9. Is -86 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**3 + 5*w - 2*w**3 - 2*w**2 - 3*w**3 to the form o*w**3 + s*w + t*w**2 + u and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 13815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - j. Let o be 65\/3 - 1\/(-3). Suppose j*s - 2*s = -o. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42336.22742 rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2)\/((-5)\/(-30)). Let u(w) = w - 4. Let b be u(3). Let r be (b + (0 - 2))*-2. What is the highest common factor of t and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122212 - -102020210?\nAnswer: 102220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/6 - (-39)\/18. Let v(g) = 0 + 2*g - 3 + 2 + g**x + 3. What is the tens digit of v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 less than or equal to 2945369\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000880945 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 + 98. What is the hundreds digit of (1 - -226)*j*6\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.763824 to two dps.\nAnswer: -19.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 458, 875, 1286, 1691?\nAnswer: 2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*f + 17. Let n(b) = 9*b + 13. Let t(v) = 5*v + 5. Let w(m) = f*n(m) - 5*t(m). Give w(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373155159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2 - 1. Let r be a(1). Let w = 14 + r. Suppose 0 = -4*m - n + 28 - w, 4*m + 4*n = 32. What is the smallest value in m, 2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 9*t - 6. Let j be s(-6). Is 11 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 48 = 2*q + q, q - 44 = -4*n. What is the least common multiple of n and 570?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -35. Which is the fourth smallest value? (a) -11 (b) 3 (c) i (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.96? (a) -5\/6 (b) 3.25 (c) -2\/11 (d) -1\/6 (e) 0.4 (f) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -25.9 - 5614003\nAnswer: -5614028.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivfiiirifvffvvvviv. Give prob of sequence ii.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3, -2*a - 3*a = -3*n - 57. Suppose 6*k - 3*k = -12. Let x = k - n. Calculate the lowest common multiple of 6 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2846 and 7308.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 19*w**2 - 17*w + 138. Give r(-7).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49*520\/(-10192))\/(10\/64).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83*q**2 + 18*q - 18*q)*(4*q + 3*q - q)*(6 - 2 - 6)*(-4 + 2*q + 4).\nAnswer: 1992*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/5 (b) 3 (c) -4 (d) 0.0245\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.9 (b) 1 (c) -3 (d) 1116 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 110 - (-2)\/(1 + 0). What is the greatest common factor of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54624296 is divided by 2314?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.75 + 0.86. What is the nearest to 0.1 in -5, 0, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 3*c + 7. Let x be r(3). What is the derivative of -x*b - 32 + 15 + 13 wrt b?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -4 + 22. Suppose -1779 = -3*b - 4*n - 244, -3*b - l*n = -1533. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227997 or -15?\nAnswer: -227997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvsvvvsvss. What is prob of sequence vvss?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 39694493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 12*p**2 - 9*p - 3. Let v be j(5). Suppose 4*m + 16 = 0, -46 = -2*t - 3*m - v. Which is smaller: t or 30?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, t: 4}. Give prob of sequence ttt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 62. What is the second derivative of 149*d**3 + d - 307*d**3 + 156*d**3 + 18*d**g + 7 wrt d?\nAnswer: -12*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 29?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d = -52*d - 26 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35927 and 1358429.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 4*k - 70. What is the remainder when k is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f = -17*f + l - 3136, 6284 = 4*f + 5*l. Does 27 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5177*k**2 - 2 + 2594*k**2 - 2*k**3 + 2587*k**2 - 19*k to the form z*k**2 + a*k + f + c*k**3 and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4451320 minus -1.1789499?\nAnswer: -4451318.8210501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -20*f**2 + 239*f - 40. Let r(h) = -5*h**2 + h + 1. Let n(w) = -o(w) + 3*r(w). Determine n(47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12778.938 months in decades?\nAnswer: 106.49115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1986.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 7 - (143 + -124 - (-1 - -42) - -3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006336 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:00 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 560022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211 - 194. Suppose 0*q + q = -3*s + v, -5*q - 10 = -4*s. Solve 10 = s*u, -3*p - 3*u - 11 = -4*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5828 - -5828.000005596. Round n to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.135 * -8.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 224 + -153. Suppose 2*b = 2*l + b - d, -3*l + 5*b = -124. Suppose -5*r + 87 + 18 = -3*o, l = r - 3*o. What is the highest common divisor of 45 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*60\/70 - 6. Let i(r) be the second derivative of -1\/3*r**3 + l + 4*r - 1\/18*r**4 - 2\/3*r**2. Factor i(p).\nAnswer: -2*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o = 7*o + 34. Suppose 3*k = -6, -3*k - o = -2*a + 2*k. Calculate the highest common factor of a and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -5 - a - 5*a + 4*a. Let y be (-2 - -12)*(-2)\/(-4). Let g(s) = -6*s + 2 - y + 5*s. What is -3*f(j) + 5*g(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 9334924*u + 21785201521444.\nAnswer: (u + 4667462)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, d: 4, e: 2, u: 1, y: 4}. What is prob of sequence ued?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 7:40 AM?\nAnswer: 361","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11515.\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -1 - 1) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088 is divided by 2059.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 0*a = -199 + 49 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 + 2. Let o = y + -0.1. Which is the closest to -1? (a) o (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -41, 2\/3, -0.472, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 28.2, -3\/109, 4 in decreasing order.\nAnswer: 28.2, 4, 4\/5, -3\/109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54323 rounded to the nearest 1000?\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1205 - -1929. What is the remainder when x is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 663.1041 litres?\nAnswer: 663104.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -5794?\nAnswer: 5796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 631 and 4?\nAnswer: 2524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 1311026206?\nAnswer: 1311026211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 0, -6, 1.\nAnswer: -6, 0, 1, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5051\/56 - -676\/7. Suppose -4*o - 4*l = -292, 0 = -4*l + 4. Find the common denominator of s and 2 - 3*291\/o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r + 15. Let u(c) = c + 2. Let g(m) = 2*o(m) - 15*u(m). Let f(h) = 2*h. Let z(l) = 4*f(l) + 3*g(l). Let n(y) = 3*y**2. Give z(n(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/((-1)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -255 + 2*r + 81*r**2 + 488 - 235 - 2*r**3 to s*r**2 + i*r + k + j*r**3 and give s.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 209 + h + 200 - 418. Give c(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73644.63 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 33*i**2 - 357*i - 5488. Let b(q) = -q**3 - 27*q**2 + 357*q + 5489. Let z(r) = 3*b(r) + 2*n(r). Factor z(c).\nAnswer: -(c - 19)*(c + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3797, 4416, 5035, 5654?\nAnswer: 6273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -345 + -4132?\nAnswer: -4510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 1414\/3, 3, 0.5, 4, 0, -42\/13?\nAnswer: 1414\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3373\/9 - -3367\/9. Let p = -0.4 + -1.6. Which is the nearest to k? (a) p (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - -4*(sqrt(78) + sqrt(78)*5) - -4*-2*sqrt(78))\/(3*sqrt(6)*3 - sqrt(42)\/(sqrt(14)\/sqrt(2))))**2.\nAnswer: 3757\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-14))\/(420\/(-735))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -27 (b) -11.8 (c) -13 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 - g - 7. What is the remainder when 13 is divided by z(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115561891.\nAnswer: 157, 736063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 45570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17662605*s**3*u - 96063*s**3 - 2319*s**2 + 3*u wrt u.\nAnswer: 17662605*s**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, -2, 2 in increasing order.\nAnswer: -25, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -5*d - 7. Let k(t) = -t**2 + t - 1. Let b(y) = -3*y**2 + 4*y - 4. Give d*k(a) + 3*b(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = p - 5*g, -4*p - 3*g + 0 + 22 = 0. Solve 0 = p*b - 9 + 25 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 110695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-17\/5)\/z**8)**(-1\/44) assuming z is positive.\nAnswer: z**(57\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32799 + 6896 = 578*c + 1547 for c.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 107*h - 111*h + 3508. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4461*p + 3*s = 4464*p + 3, -p + 3*s + 7 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 - 3)*(5 - 5 - 1)*(0*k + 4*k - 3*k)*(0*k**2 + 6*k**2 - 3*k**2)*(2 - 2 + 2*k)*(0 - 1 + 3).\nAnswer: 60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000802682869 rounded to seven decimal places?\nAnswer: -0.0000803","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205867?\nAnswer: 127, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/10 + (-2136)\/(-120) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7587)\/(-117) - 12\/(-78). Suppose -5*w = -18*w + r. Solve 0 = 2*a + 3*a + 2*l + 8, w*a = -l - 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9061*b**2 - 23. Let c(j) = -j. What is c(u(v))?\nAnswer: -9061*v**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f - 41. Let v(z) be the second derivative of z**3\/3 + 283*z. Calculate c(v(i)).\nAnswer: 20*i - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 15*k - 546. Determine g(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2757 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4762690*m**5 - m**4 - 6*m**2 - 48407 wrt m?\nAnswer: 285761400*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 7*a**2 + 3*a + 7. Suppose -2*k = -4*k + 240. Suppose -28*y = -31*y + k. What is the remainder when y is divided by n(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128 - 689*g + 222*g + 235*g - 3*g**2 + 232*g.\nAnswer: -3*g**2 + 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11253*f**2 - 3 + 3 - f.\nAnswer: -11253*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -563*v**6\/120 - v**5\/60 + 1309*v**3\/6 + v**2 + v + 115. Differentiate l(s) wrt s.\nAnswer: -1689*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 + -36354400?\nAnswer: -36354436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 62 = z - 2*z, 2*h = -26 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-3\/10)*t)\/t)**44\/(t*t*t**(-26)*t**25*t) assuming t is positive.\nAnswer: t**(364\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -233 - -195. Is z at least as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -2.8?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.90745 litres in millilitres?\nAnswer: 50907.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*r - 104*r = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2817, -2798, -2779, -2760?\n\"Answer: 19*j - 2836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*x + 344*x + 52*x - 544*x + 54*x + 51*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, f: 1, u: 1, i: 1, q: 1}. Give prob of picking 3 g and 1 q.\nAnswer: 56\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 298, 10035, 0, -1 in increasing order.\nAnswer: -1, 0, 298, 10035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y**(5\/2)\/y)*y))\/(y**(-1\/4)*y*y*y)*(y\/y**2)**44)\/((y\/(y\/(y**(1\/3)*y)*y*y*y)*y)**(-42)*(y**(-1))**(7\/12)) assuming y is positive.\nAnswer: y**(-221\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 1675*m**2 - 5770*m + 12. Let t(j) = -15080*j**2 + 51930*j - 110. Let s(h) = -55*q(h) - 6*t(h). What is the second derivative of s(u) wrt u?\nAnswer: -3290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbab when four letters picked without replacement from aabaaaaaabbaaaaa?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 8*t - 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3033, -3071, -3143, -3267, -3461, -3743, -4131?\nAnswer: -4643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*l + 3473 = 0, l + 1398 = 2*t + 2*l. Does 41 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 91 = -3*n - 70, -29 = -5*z - 3*n. Put -1, 54, z in ascending order.\nAnswer: -1, z, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -233877\/34 + 6879. Calculate the common denominator of 1\/((-45)\/10) - 422\/45 and p.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -309026 and -3.\nAnswer: -309029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*k = 91*k + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minus 1.0029?\nAnswer: 75.9971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (22\/(-77) + 6\/(-28))\/(16\/(-8))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.0484 (b) 34\/83 (c) -3\/2 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3609.16301 rounded to 1 dp?\nAnswer: -3609.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3 - -11)*(714 + 4) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 238 divided by -2\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 7*g**2 - 6. Suppose -j - 6*j = 49. Let h be q(j). Is 2 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + -5445324?\nAnswer: -5445301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 1 - (-11 + -4). Solve -2*g - 5 = -4*g + 3*c, -4*c = y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 134. Let z(k) = 2*k**3 - 4*k**2 + 3*k - 4. Let l be z(3). Calculate the greatest common divisor of l and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 2:10 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l + 36. Let s be a(5). Let w(x) = -177*x**2 + s*x**2 + 92*x**2 + 9*x + 2. Give w(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b**2 - 7*b**2 - 10*b**2)*(-313*b - 324*b + 776*b).\nAnswer: -1112*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = n - 4, -j - 2*j = 15. Let r = n - -26. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157027, -628100, -1413223, -2512396, -3925619?\nAnswer: -5652892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/23914757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*a = 3, -2*v + 43 = -4*a + 49. Let s(x) = -x**2 - 3. Suppose -4*b - 1 = 4*h + 11, 0 = -b - 4. Let p(j) = 1. Determine h*s(d) + v*p(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 20*p + 36. Let h be u(21). Suppose 10*x + h = 15*x. Solve -y - x*y = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*o + 10 = -130*o + 4*c, -4*c - 20 = -4*o. Factor 2\/9*s**2 + 2\/9*s**o + 0 - 2\/9*s**3 + 0*s - 2\/9*s**4.\nAnswer: 2*s**2*(s - 1)**2*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*n - 45. Let f = n + -13. Suppose k - f*k = -32. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15 - 15 - 35*q**2 + (2*q - 1 - 4*q + 4*q)*((-1 - 2 + 2)*(q - 3*q + 3*q) + 0 + 3*q + q - 2).\nAnswer: -29*q**2 - 7*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(68)*-2)*-6 + -4 - ((sqrt(68) + 3 + 1 - sqrt(68)) + sqrt(68)*-3 + 4))**2 + 0.\nAnswer: -360*sqrt(17) + 15336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48083?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 31 = y, -8*h + 10*h + 3*y = -68 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 = 0, 24 = -y - 3*y - 2*j. Let x(t) = -16*t + 99. Let l be x(6). Let s be (-3)\/l + 3*(-8)\/6. Sort 0.1, y, s in decreasing order.\nAnswer: 0.1, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 67 - 5?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -202730171*k**4 - 336304228 wrt k.\nAnswer: -810920684*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.63 (b) 3\/5 (c) -1 (d) -505 (e) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534*z + 16740*z + 26398*z - 8820*z + 23828*z.\nAnswer: 57612*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a32 + -a?\nAnswer: 2a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35828513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 2174192.\nAnswer: 6522576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 13193*r - 5 + 4 - 13192*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114 - 124)*3\/42.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times -1.4227087\nAnswer: 2.56087566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/(h\/h**7*h*h))**(-12\/5) assuming h is positive.\nAnswer: h**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 9b?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147405836 and 472?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.47 + -0.49.\nAnswer: 9.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30*r + 44*r + 71*r)*(-r**3 + r**3 + r**3) as j*r**2 + b + i*r**3 + d*r**4 + x*r and give d.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*p - 40*p + 290*p)*(4*p - 4*p - p**2) - 5*p**3 + 6*p**3 + p**3.\nAnswer: -205*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130\/3 + -44. Which is the fourth smallest value? (a) -5 (b) r (c) 0.9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2771394*u + 2948434 with respect to u.\nAnswer: 2771394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11459072815 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*(u\/(u**(-2\/3)*u*u))\/u*u)**(19\/4))**22*(u**5*u**(4\/7))\/(u**(-2\/31)*u\/u**(2\/7)) assuming u is positive.\nAnswer: u**(233173\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*j - 26 = 0, 248*o + 4*j - 12 = 245*o. Solve -2 = 3*h - o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2495957*u + 1247974*u + 41 + 14 + 1247986*u.\nAnswer: 3*u + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*z - z**3 - 92*z + 46*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 306 + -309. Let o(b) = -16*b**2 + 7*b - 268. Let m(q) = -78*q**2 + 36*q - 1340. Let r(i) = d*m(i) + 14*o(i). Differentiate r(x) wrt x.\nAnswer: 20*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 220\/(-352)*384\/(-16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 + 5*c**4 - 5*c**4 + (-2*c**3 - 2*c**3 + 5*c**3)*(-1 - 2*c + 1).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4319018, 8638060, 12957102, 17276144, 21595186, 25914228?\n\"Answer: 4319042*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-35) - (-40)\/140.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 81 - 74 - 70 + 225.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 200*l**4 - 169155*l**3 + 299805*l**2 - 156170*l + 25320 = 0.\nAnswer: 3\/8, 2\/5, 1, 844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -4. Suppose g*r - 3*r - 8 = 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 6*s - 4. Suppose 0 = -2*u - 0*u + 48. Suppose 3*k = 5*a - 8, 0 = -k + 3*k + 4*a - u. What is the units digit of o(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 21. Let i(s) be the third derivative of -s**4\/8 + 3*s**2 + 68*s. Calculate g(i(k)).\nAnswer: 18*k**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27547 - -286. What are the prime factors of j?\nAnswer: 13, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8846, 8852, 8862, 8876, 8894?\n\"Answer: 2*i**2 + 8844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.44 + 1.44. Let n be 2 - 1 - (-50)\/14. Let t = -68\/21 + n. Which is the nearest to v? (a) t (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**3 - 2*d**3 + 2*d**3 + (3 + 0 - 2)*(0*d + 0*d - d)*(5*d**2 + 3*d - 3*d) in the form g + q*d**3 + l*d + i*d**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.4, -6, -1\/7, 0.483, 0.03?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 378 and 5292?\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (75\/(-4))\/(477\/72 - 7). Suppose -62 = -16*j + r. Let f(y) = 24*y + 1. Calculate the smallest common multiple of j and f(1).\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 63.52932 and -11?\nAnswer: 74.52932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 8:31 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -139*o**4 - 96 wrt o.\nAnswer: -556*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -38188, -38197, -38218, -38257, -38320, -38413, -38542, -38713?\n\"Answer: -h**3 - 2*h - 38185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -417 and 253.5.\nAnswer: -105709.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*j = 485 + 268, -5 = 5*j. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j\/(j**24\/j*j))*j)*j\/j**(-8\/13)*j**(1\/4)\/(j\/j**21) assuming j is positive.\nAnswer: j**(-111\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 2\/3 (b) 0.4 (c) 8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (1 - 22) - 18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/32*(-4)\/(-6)*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**3 + 916*j**2 - 6*j - 6. Let g(p) = 13*p**3 - 1830*p**2 + 11*p + 11. Calculate 6*g(w) + 11*z(w).\nAnswer: w**3 - 904*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w**3 + w**2 + 6*w - 6. Let q = 4 - -6. What is the smallest common multiple of b(1) and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 295113 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 343157 and 232493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rle when three letters picked without replacement from {e: 2, l: 5, r: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/(sqrt(12)\/sqrt(4))*-2)\/(-3*sqrt(81)\/sqrt(3)))**2.\nAnswer: 44\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -11*-16197*1\/33. Round g to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01836 to four dps.\nAnswer: -0.0184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.09903501 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.14 - 0.24. Let p = 11677 + -11677.2. Which is the closest to p? (a) o (b) -4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5*z**(-3))\/(z**(-1\/2)*z**(-6)))**(-8) assuming z is positive.\nAnswer: z**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {b: 2, e: 1, q: 1, o: 1, m: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(-4*w - 127 + 64 + 67).\nAnswer: 4*w - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 p when four letters picked without replacement from hphphhpphlkrh.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p**2 - 7 + 7)*(-2*p**2 + 2*p**2 + p**2).\nAnswer: -11*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60*(9 - (-102)\/30). Let g = s - 755. Sort 0, -7, g.\nAnswer: g, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121049 and 20597443.\nAnswer: 6371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -273 divided by 3?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 9672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 430689.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 507557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783492 is divided by 757?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4626, -2, -1004 in descending order.\nAnswer: 4626, -2, -1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (896\/(-42) - -22)*11217. What is the highest common divisor of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 1\/2*g**4 - 16*g**2 + 59 - 8*g + 0*g**3. Differentiate d(o) with respect to o.\nAnswer: 6*o**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 127 = 35. Let n = -53 - d. Solve 21 = 4*c + n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, y: 1, s: 3, x: 6, a: 1, i: 3}. What is prob of picking 1 y, 1 s, and 1 i?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/10)*w)\/(w\/(w**(12\/17)\/w))*(w**(-5\/12)\/w*w)\/(w\/(w*(w**46*w)\/w)) assuming w is positive.\nAnswer: w**(46093\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1810 and -57\/296116.\nAnswer: 1480580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1029*h + 977*h - 307*h - 1697*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 308 - 124. Suppose -42*x + b = 4*x. What is the closest to -3 in -1, x, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 333972907 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14281501 divided by -1313\nAnswer: -10877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 9:50 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 523 - 560. Which is the smallest value? (a) 3\/4 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4679, 255, 12 in increasing order.\nAnswer: 12, 255, 4679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17235527.\nAnswer: 19, 907133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (50*(-5)\/3)\/(2\/7632). Round w to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(4)\/(sqrt(2)*2) - (5 + 2*sqrt(2)))*1)**2.\nAnswer: 5*sqrt(2) + 51\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/7 and -69\/124454?\nAnswer: 871178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 209209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -4*r + 4 - 5, 5*r - 25 = -4*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*n = -5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: 320 divided by 29\nAnswer: 320\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/4 + v**2 - 3. What is d(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -9*r**4\/4 + 45*r**2\/2 + r. Differentiate g(v) with respect to v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -359366*z - 2874974. Calculate g(-8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-1)\/((-15)\/9 - -2). Which is bigger: i or -45\/11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 40481 - 8394. What are the prime factors of u?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396 and 572?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f + 2. Let j be s(-1). Let q(v) = -v**3 - 4*v**2 - 2*v + 1. Let w be q(-2). Let g(b) = -2*b**2 + 23*b + 190. Let t be g(17). Sort t, w, j.\nAnswer: w, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47088 + 4683 - 24796 = -884*a - 255*a for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-9) + 343532\/(-773514). Let a = p - 380628\/30695. Is -1 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)\/g)**(-18)*g\/(g**(1\/2)\/g)*g*g**(1\/9)*g*(g\/(g\/(g**5\/g)))\/g**(-4)*(g*g**1*g)**33 assuming g is positive.\nAnswer: g**(16853\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 5*b**2 - 3*b - 1. Let l = -36 + 42. Let t be (3\/l)\/(3\/(-18)). Give m(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13818\/5 or 2765?\nAnswer: 13818\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from aaaakakaaaaaaaaaaaa.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/672 - 2239\/672. Let s be 3\/(-8) + 1\/2. Suppose -4*m - p + 3*p = 8, p - 4 = 5*m. What is the second biggest value in m, c, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrmrbmrbobrmbr. Give prob of sequence om.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = z + z - 5*n, 3*z + 3*n - 141 = 0. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300\/(-1125)*18\/6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/25, 1, -3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 * 0.11.\nAnswer: 0.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 19*o**2 - 12*o + 48. What is the thousands digit of w(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2.4. Let c(v) = -13*v - 52. Let g be c(-4). Sort 2\/7, w, g in decreasing order.\nAnswer: 2\/7, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12*p. Let d(s) be the second derivative of 181*s**3\/6 + 3265*s. Determine o(d(w)).\nAnswer: -2172*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 0 - (58 - 56)) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + c + 4. Suppose -z + 2*z + 4*n = -5, 4*z + 3*n - 6 = 0. Calculate the remainder when (102\/85)\/(2\/100) is divided by l(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*d - 8 = -0*y, -5*y + 6 = 3*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 0*h**2 - h**2. Let g(m) = m - 1. Let d(s) = -10*s + 11. Suppose -4*j + 110 = j. Let q(k) = j*g(k) + 2*d(k). What is q(o(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 300441?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 217*p - 1736. Let i be b(8). Let s = 11 + -7. What is the fourth biggest value in i, 5, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 3*m**2 - 3*m - 3. Let q(h) = h**3 + 4*h**2 + 4*h + 4. Let y = -2 - -6. Let d(b) = b**2 + 15*b + 39. Let r be d(-12). Give r*q(c) + y*a(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, m: 7}. Give prob of picking 2 m.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h + 3. Let k(w) = w + 1. Let o(l) = 4*k(l) - r(l). Let f be o(-2). Let q = 0.033 + 0.077. What is the third biggest value in q, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10933472 divided by 4?\nAnswer: 2733368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -17, -21?\n\"Answer: -4*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 4:10 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.9*0.07646947.\nAnswer: 0.374700403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262537 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 - 89. Is b greater than or equal to 0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 831 + -819. Let d be (-378)\/(-90) - y\/(-15). Solve 1 - 9 = -3*q - 2*g, 0 = d*g - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*w + 3*j - 66, -4*w + 112 = -4*j. Let t be (-1)\/(-2)*(-30 + w). Solve 3*x = -t*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/3)\/(3\/9). What is the common denominator of 44\/5 and 20\/g - (-2)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001649903 rounded to 7 dps?\nAnswer: 0.0000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -13*d**5\/20 + d**3\/6 - 9*d**2 - 7*d + 2. What is the derivative of g(k) wrt k?\nAnswer: -39*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12 = -7*p, n - 3*p = -7. Suppose 0*g + 4 = n*g. Let r be (-6)\/21 + g\/(-42). Which is smaller: r or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, g: 2, o: 1}. What is prob of sequence ig?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 518254200.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -11. Suppose 2*k = -c + 13. Solve -5*v + x - 23 = 0, 5*v - k = 2*x - 30 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -g - 4*g. Let c = -125 + g. Which is greater: c or 2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*70\/(-80)*28\/49.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceetty. Give prob of sequence etye.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11169*f = 11170*f - 9, -3*a = -7*f + 63 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*h - 5, 0*v = 2*h - 2*v. Suppose -h - 20 = -3*a + n, 3*a + 4*n - 21 = 0. Suppose 3*j + 5*r - a = 0, 46 - 7 = 3*j - 3*r. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 298, 322, 382, 496, 682?\n\"Answer: 3*k**3 + 3*k + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20235 and 1390971?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 11*r + 11. Let a(i) = 7*i**2 - 21*i - 22. Let h(o) = 2*a(o) + 5*v(o). Calculate the remainder when h(10) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 792 + -795. Which is the second smallest value? (a) -0.03 (b) i (c) -0.1 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 - 7392\nAnswer: -7392.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/15))**(-2\/13)\/(((v*v**(-1\/4))\/v*v*v)\/v)**44 assuming v is positive.\nAnswer: v**(-6439\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 0, 3 in decreasing order.\nAnswer: 3, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 12:17 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 11*v**2 + v - 9. Let p = 16 - 5. Let w be b(p). What is the first derivative of -3 - 7*n**w + 3 - 9 wrt n?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 49 = 126. Calculate the highest common divisor of 385 and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 25*b**2 - 5*b**3 + 12*b**3.\nAnswer: 5*b**2*(b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 1180*m**2 + 40936*m + 182880.\nAnswer: 4*(m - 254)*(m - 45)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 19*t)*(-2 - 1 + 5) - 28*t - 7*t + 16*t.\nAnswer: -57*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*c**5*t**3 + 12*c**4*k*t**3 - 3*c**2*k*t + 81*k*t**3 wrt c.\nAnswer: 780*c**2*t**3 + 288*c*k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-12 - (11 + -25))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 9 + 69 = 0. Let v be 66\/n - 2\/5. Suppose 0 = -2*q - z - 2 + 18, -8 = -q + v*z. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + r**5 + 0*r**5 + 7*r**5 + 4*r**5 - 3*r**5 + (-r**4 + 0*r**4 + 3*r**4)*(r - 3*r + r) - r**3 + 0*r**5 + 0*r**3 - 5*r**4 + r**5.\nAnswer: 5*r**5 - 5*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.226 + 0.2?\nAnswer: -2.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 6*k + 10. Let y(m) = m**3 + 7*m**2 + 7*m - 2. Let q be y(-6). Give u(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**9\/3780 + x**8\/3360 + x**7\/1440 + x**6\/2880 - x**4\/4 + 2*x. Let u(m) be the third derivative of y(m). Factor u(s).\nAnswer: -s*(s - 1)*(4*s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71 - 33 + 13*f**4 - 40 wrt f.\nAnswer: 52*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let u(z) = -22 - 2*z + 26 - 13*z. Calculate u(x(c)).\nAnswer: -15*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 3.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 3693?\nAnswer: -77\/3693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Calculate the lowest common multiple of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 >= -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 8) + 8 + -5 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 4*k**2 - 8 - 23 + 10*k**3 + 342*k**2.\nAnswer: 10*k**3 + 346*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13009 to the power of 1\/2, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192655, -192606, -192525, -192412, -192267, -192090?\nAnswer: -191881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -112*a + 87. Give h(1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -53570 + 53570 - 605*l + (2 - 4*l - 2)*(-1 + 6 - 3) in the form c + s*l and give s.\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -40*o**2 - 1. Give i(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 61021)*4\/(-8). Suppose -3*g + f + 40890 = 0. Round g to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2 - 61220128*v + 936976018084096 = 0 for v.\nAnswer: 30610064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/2 - (-1 + -1). Let u be v + 3\/(-7) - 0. Which is the nearest to -1? (a) u (b) 0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 812 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kckkekekxo. What is prob of sequence ck?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2726 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1257935958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 3, t: 4}. What is prob of sequence uvt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(7\/14*-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a millennium?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*y + 15 = -85*y. Is (3432\/(-18) + y)\/(1\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1003, 4367, 10719, 20671, 34835?\n\"Answer: 102*t**3 + 882*t**2 + 4*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -1. Let k be 6\/(-10) - (-23)\/z. Let l(n) = 4*n - 1 + k - 3. Let h(v) = 2*v**2. Determine h(l(i)).\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41904 and 0.1.\nAnswer: -41903.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*s + 120 + 129 = 0, -m = -4*s - 83. What is the third derivative of r**3 - m*r**2 + 0*r**3 - 21*r**4 + 1 + 80*r**2 wrt r?\nAnswer: -504*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 4.90732 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 4\/18 - 2344\/(-18). Let q = t - 40. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 13 = 4*d + 17, -2*d = -5*q + 26 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*i + 95197*i**3 - 94914*i**3 + 31*i.\nAnswer: 283*i**3 + 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10270972?\nAnswer: 2, 23, 111641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*m - 25. Suppose -3*j = -2*d, j + 7 + 6 = 5*d. Calculate the greatest common divisor of d and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f + 27 + 51 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 6*k - 7. Let x(a) = -15 + 62*a + 52*a - 101*a. Suppose -4*v + 3*y - 24 = 0, 2*v + 3*y = -6 - 24. What is v*h(n) + 4*x(n)?\nAnswer: -2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d + 3. Let c(v) = -2*v**2 - 43*v + 2. Determine -c(x) - z(x).\nAnswer: x**2 + 44*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 2*n**3 + n**3)*(-2*n + 2*n - n) + 6*n**3 + 4*n**4 - 9*n + 6*n + 4*n + (5*n**2 - 3*n + 3*n)*(2*n**2 + 2*n**2 - 6*n**2).\nAnswer: -7*n**4 + 6*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -177\nAnswer: -177.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10131 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 5*b**5 + 155*b**4\/4 + 38*b**3 - 86*b**2 + 40*b + 513. Factor z(f).\nAnswer: (f + 2)*(f + 5)*(5*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 16830, 33632, 50436, 67242, 84050, 100860, 117672?\nAnswer: 134486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6975846 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 11:15 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 518*t**2 + 74*t - 38351. Give f(518).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (3 + -4 - 2 - (-114 - -99)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*b - 9, -15 = -5*z - 10*b + 5*b. Let n = 0 - z. Is (2 - -12) + (n - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-79)\/8 + (-8)\/64. Round j to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.3 + 4. What is the closest to 1\/3 in -2\/5, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-16) - (2\/124)\/((-2)\/287)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**3 + 80*b**2 = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 6:05 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8445137?\nAnswer: 8445137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/9932 and -149\/15876.\nAnswer: 39420108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1144232785 divided by -28069.\nAnswer: 40765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (120 - -4) + (-1)\/1 + 3. Suppose 0 = 3*p - 5*p + m. What is the greatest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -373.\nAnswer: -45\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -25?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13 - t**3 - 33 + 16 + 5*t**2 - 3*t. Let b be r(2). Calculate the greatest common factor of b and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22756*-315.\nAnswer: 7168140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-3)\/(-12)*-4. Let s be (-7)\/z*(-4)\/(-14). Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -2 - (-2 - (-1292)\/91). Let m = -10113\/910 - k. Calculate the common denominator of 67\/104 and m.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541886369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 7*s**2 - 16. Let n be u(5). Suppose -2*d = -z - 5*d + 18, -3*z + n = 5*d. Factor -9*t**2 + 3*t**z + 4*t**3 + 1 + 5*t - 2 - 2*t**4.\nAnswer: -(t - 1)**3*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -10*w + 5*j, 4*j = -0*w + 4*w + 32. Let n(b) = -b**2 - 11*b - 11. Calculate n(w).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1050, 1095, 1128, 1149, 1158, 1155, 1140?\nAnswer: 1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3717*p**6*q*t + 104*p**6*t - 3232*p**2*q*t + p**2*t + 23*q wrt p.\nAnswer: 446040*p**3*q*t + 12480*p**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 9 - 5*y + 11*y. Let j be w(3). What is the tens digit of 78 + (j - 2 - (-2)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 6)\/((-3)\/(-1) + -4). Sort -2\/9, 1\/6, 1\/57, y in descending order.\nAnswer: 1\/6, 1\/57, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (1 + -2 - -2) - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506 is divided by 250?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/7*(-8333)\/(-5128).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 3*k + 13. Let j be (-3 - -5)\/(-5 - 33\/(-7)). Is x(j) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/sqrt(4))**2 + 1 + (sqrt(33)\/sqrt(3) - sqrt(11)) + 5 - ((sqrt(33) + 1*sqrt(33)*6)\/(sqrt(3)*1*-3))**2.\nAnswer: -89\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3950 and 288824?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -113 + 108. List the prime factors of (-596)\/(-5) + o\/5 - 3.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**6\/120 + r**5\/20 + r**4\/8 + r**3\/2 - 9*r**2. Let m be z(4). Let y = m + 65. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0873, -1\/4, 13, 2, -2\/11, 0.4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m + 4*m. Suppose 4*j + q + 45 = -m*j, -15 = 2*j - q. Let v(i) = i**3 + 13*i**2 + 4*i - 3. Is v(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 0*n**3 + n - 274578*n**2 + 823719*n**2 - 274575*n**2 - 274579*n**2 - n.\nAnswer: -3*n**3 - 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipppaihiiap. What is prob of sequence ip?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 503?\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -3. Suppose 5*k - 2*g = 33, -k + s*g = k - 30. Suppose -3*r + 5*p + 95 = 2*r, 2*p = k*r - 92. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a101a (base 11) in base 15?\nAnswer: 13c597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -5*n - 27. Let u be 2 + (-2 - 8\/(-2)). Sort 3, u, n in increasing order.\nAnswer: 3, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2705198 to the power of 1\/2, to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1044 - 1046. Is q greater than or equal to 610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674 - 3086 = 752*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4 + 4. Let m(f) = 14*f + 7. Is m(s) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 10*q + 78. What is the smallest common multiple of 22 and q\/(-5) + (-30)\/(-50)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 310.3 - 320. Is 1 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2. Suppose 2*d + 4 = d. Let a(f) = -4*f**2 + f + 1. Let t(s) = d*q(s) - a(s). Suppose -3*w = j + 2*j + 18, -15 = 3*j. What is t(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 211*f - 116*f - 96*f. Let s(r) = 83*r. Calculate s(d(o)).\nAnswer: -83*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*u + 28 = 0, -4*s - 3*u + 11 = 48. Which is smaller: -8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2335, -38\/53, -0.3, 17.\nAnswer: -38\/53, -0.3, 17, 2335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 13) in base 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 4*z - 4*z + (0*z + 3*z - 4*z)*(z - 2*z + 3*z) - 3*z + 4*z**2 - 3*z**2 - 2*z.\nAnswer: -3*z**2 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210855 and 463881?\nAnswer: 2319405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 72, 36, -36, -156?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15.6 and -52.\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**8*o)\/o*o**(3\/7))\/((o*o\/(o*o\/o**(4\/9)*o)*o*o)\/((o**(-3\/2)\/o)\/o)))**37 assuming o is positive.\nAnswer: o**(16243\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 take away 0.4?\nAnswer: 235.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*x - 216940 + 247948 = 0 for x.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 0.1 (c) -8296 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -250 + 245.2. Let r = j - -6. Which is the third biggest value? (a) r (b) 1\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r - 107*r**2 + 183*r**2 + 34 - 15. Is v(-6) 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 2:55 PM and 6:53 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6 = -1. Let o(t) = 209998*t - 1. Let g be o(h). Suppose -3*v + 140003 = -2*r, -3*r + 3*v = -6*r - g. What is r rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oonz when four letters picked without replacement from zjozjnjezozzzz?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1769\/6996 + -5\/1749. Which is the nearest to 16? (a) o (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7524 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - t)*(-2 + 1 + 0) - 3*t - 4*t + 5*t + (52*t - 19*t - 5*t)*(1 + 3 - 6) - 2*t + 11 - 11.\nAnswer: -59*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*h = 401*m + 223*h - 814, 0*m - 14 = -m + 2*h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 2230*l.\nAnswer: 2*l*(l - 1115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 2178 = -28*a. What is the highest common factor of 110 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 634, 902, 1342, 1954, 2738, 3694, 4822?\n\"Answer: 86*b**2 + 10*b + 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -59. What is the closest to n in -4, 2\/19, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -172, -156, -126, -76, 0?\n\"Answer: b**3 + b**2 + 6*b - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47981910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/41599 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*w = -8*w + 39*w + 96 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53 + e01?\nAnswer: d9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*i + i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 + -114. Let c = k - -96. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4 - 12362*p**3\/5 + 4089166*p**2\/5 - 32506278*p - 61175520 = 0 for p.\nAnswer: -9\/5, 48, 595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123*-0.09.\nAnswer: -11.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - 66. Let m = -140 - n. Sort 3, m, 5 in increasing order.\nAnswer: m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1724 - -3?\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 3. Let j(z) = -z - 4. Let o be j(-6). Give h(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*(sqrt(88) + (5*sqrt(88) - sqrt(88)) + sqrt(88)) - sqrt(88))*-3)\/((-6*(sqrt(200) - sqrt(8) - sqrt(8)) - sqrt(8))*1*-5).\nAnswer: -174*sqrt(11)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 101, 0.3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11749 - -12052. Solve 35*x - d = -128 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 5*z = 0. Which is the closest to z? (a) 0.4 (b) 1 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -633?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 - 1 + 1)*(-j + 0 + 0) + (26*j**2 - 7*j**2 - 2*j**2)*(2*j**2 + 0*j**2 + 0*j**2).\nAnswer: 32*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**2 - u - 2. Let y be r(-1). Let l(z) = -z**2 + 13*z - 31. Let b be l(y). Calculate the greatest common divisor of b and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y**2 + 328*y - 10. Determine x(-41).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 303.1 in -0.5, -120\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**3 + 42*i**2 - 9*i - 6. Determine g(8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.6 - 17.6. What is the closest to -2\/5 in -2, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4 (b) 0.4 (c) 5 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/392 and 3\/1120.\nAnswer: 7840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4 - ((-476)\/10 + (-6)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51.75 + 50. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2039*q**3 + 2*q**2 + 125261 with respect to q.\nAnswer: -6117*q**2 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 4*m - 22, 0 = 5*t - 0*m - m - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2757 (b) -1 (c) 748\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65565 + -5?\nAnswer: -5.65565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 5035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-176\nAnswer: -70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l. Let u(k) be the third derivative of 0*k + 1\/12*k**4 + 0 + 6*k**2 + 0*k**3. Determine j(u(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -442.\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 598 - 113 = 0. Suppose -15*i - 32459 + 32714 = 0. Calculate the remainder when v is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 6) + (-15 - -6 - 0 - -15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 1076 - 755. Does 47 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -1)*(-16)\/(-4). Put -2, 5, 1, h in descending order.\nAnswer: 5, 1, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let j(u) = -4*u + 2. Suppose -3*t - 2*k = 32 + 2, 22 = -2*t - 2*k. Let m be ((-2)\/4)\/(2\/t). What is m*g(s) - j(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.05 (b) -0.02 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17188211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 170 + -165. Find the second derivative of -76*f - 12*f**3 + 6*f**4 - 39*f**3 - u*f**4 wrt f.\nAnswer: 12*f**2 - 306*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1624.7 + -14.3. Let d = 1631.87 + m. What is d rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 995.5867 millennia to years.\nAnswer: 995586.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -23. Let a(x) = -x**3 + 10*x**2 - 8*x - 4. What is the units digit of a(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -21*s**2. Let t = 183 - 181. Let z(o) = 5*o**2. What is t*q(i) + 9*z(i)?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 12*x**2 - 867*x + 216 = 0.\nAnswer: 1\/4, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-156)\/8*(-4328)\/12. Suppose -l + 1937 = -14*x. Does 52 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 + -68. Let r = -81728\/55 - -1486. Is g at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d - 2*d - 4 + 7 - 4*d. Suppose -h - 8 = -2*q, q = 4*h - 4*q + 29. Give r(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1628 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(sqrt(153) + sqrt(153)*-1*3))\/(sqrt(27)\/(-2*sqrt(3)*4)).\nAnswer: -160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 52\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h - 761 = -341 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0731*-1666\nAnswer: 121.7846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*a - 3*g - 12, -2*a - 2*g = 0. Suppose -3*j - a*y = -798 - 1643, -y = j - 815. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9}. What is prob of sequence rrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/30 and -59\/2112315?\nAnswer: 4224630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6155*p**2 + p**3 - 6154*p**2 + 1 - 7*p + p**4 + 2*p**4 - 3*p as t*p**3 + g + h*p**2 + a*p + v*p**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23\/3 + 8. Suppose 0 = 7*m + 18*m - 75. What is the nearest to b in 1, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -28904097 and -0.3.\nAnswer: -28904097.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + u**3 + u**3)*(-2*u - u - 2*u)*(-8*u + 1 - 1) - 2*u**5 + u**2 - u**2.\nAnswer: 38*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9532 = -2*a, 0*f = 4*f - 2*a - 12708. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 4*s - 6. Suppose -2 - 2 = -2*r. Suppose r*p = -0*p + 64. Let z = -26 + p. Give n(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -3. Let x = 90.9 - 90.8463. Let c = 4.0537 - x. What is the nearest to -0.1 in o, c, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9141*c + 5478*c + 5768*c + 286280 for c.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*h - 3*n + 18, 3*n - 19 = -4*h. Solve -h = -5*b - 2*s + s, -4*b = s for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a**2 + 15*a**2 - 13*a**2. Let y(f) = -2*f. Calculate g(y(o)).\nAnswer: 68*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90485536899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612218091 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: Evaluate 24\/(-2) - (-656)\/416*52.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*i + s - 54, 5*s = 5*i - 40. Suppose 0 = 2*r - 6*r + i. Factor -5*m**5 - 12*m**4 + 4*m**2 - 12*m + 8*m**3 - r*m**2 + 6*m**2 + 9*m**5 + 4.\nAnswer: 4*(m - 1)**4*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 - -2) + -8 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z + 6. Suppose 8*u + 66 = -6. What is t(u)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {c: 4, d: 2, n: 1, a: 3}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -309, -320, -333, -348, -365, -384?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -172*u + 73. What are the prime factors of x(-11)?\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 33 = 49. Let r(o) = o**3 - 9*o**2 + 11*o - 9. Give r(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 2*a**2 - 4*a - 5. Let b be x(-5). Suppose t - 2*g - 87 = 0, t - b = g - 0*g. Suppose -t + 231 = 2*w. List the prime factors of w.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**5 + n**3 - n**3)*(-3 + 3 + 1) - 46*n - 6*n - n**5 + 8*n.\nAnswer: -3*n**5 - 44*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 9042153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11532757323629 + 2\nAnswer: 11532757323631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1218 divided by 1.\nAnswer: -1218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18) + 43\/9. Suppose 2*r - 4*r = -5*j + n, -5*r = -2*j + 2. Sort j, -5, -1 in decreasing order.\nAnswer: j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 201*g**5 - 2*g**4 - 254*g**2?\nAnswer: 12060*g**2 - 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 38 = 7*r, 9*l + 3*r = -18*l + 22*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((-25)\/125)\/((-1)\/35). Suppose 5*a - h*a - 5*s - 22 = 0, -2*s = -a - 2. Let o(v) = -v**2 - 6*v - 2. Determine o(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -18 (b) 1\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + 8*a - 26 + (2*a - 5 + 5)*(-2 + 4 - 1) + 2 - 2 + 2*a + 0*a + 3*a + 0*a to the form v + j*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7. Let h(v) = -221*v + 36. What is h(y) + 5*x(y)?\nAnswer: -221*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l**3 - 6*l**2 - 8*l - 33. Is 30 a factor of u(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 936864103 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*r - 70. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1858 - 44741\/24. Let s = -66 - -86. Find the common denominator of (-1415)\/700 - s\/(-35) and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 231 and 525.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69, 79, 105, 153, 229, 339, 489?\n\"Answer: f**3 + 2*f**2 - 3*f + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 4444 - 4444.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16835 and 24050.\nAnswer: 168350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/30 and 14\/657.\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-24) - (-37)\/6. Let s(o) = o**2 - 5*o - 3. Let n be s(k). Solve -6*z + 5 = n*y - z, -4*z = -4 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -904, -897, -890, -883?\n\"Answer: 7*w - 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3822*c*w - 2892*c + 2*w**4 with respect to w.\nAnswer: -3822*c + 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*b**3\/8 - 44621751*b**2\/8 - 15617607*b\/2 - 4462173\/2 = 0. What is b?\nAnswer: -2974782, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/5 + 661*x**3\/5 - 7352*x**2\/5 + 26832*x\/5 - 32256\/5.\nAnswer: (x - 4)**2*(x - 3)*(x + 672)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 3180?\nAnswer: -3178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.91 and 0.331.\nAnswer: 3.241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1, 17728 in increasing order.\nAnswer: -1, 9, 17728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89487 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xdllpx. Give prob of picking 1 l, 1 p, and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 379545*a - 5. Let u(p) = 75909*p - 1. Let w(r) = -22*u(r) + 4*z(r). Let j be w(-11). Round j to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8382 + -8381.6. Sort b, -10, -1, 2 in ascending order.\nAnswer: -10, -1, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, w: 4, j: 2}. Give prob of sequence hjwh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 20) + (7 + -3 + 4 - -38)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + d - 22 = 30, 0 = -5*d. Let k = -23 - m. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-6 - (-8 - (-4 + -2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10887*n**3 + 3064*n - 14640*n**3 + 898*n wrt n?\nAnswer: -22518*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/5)\/(a\/(a**(1\/10)*a)) assuming a is positive.\nAnswer: sqrt(a)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -692844 divided by -2.\nAnswer: 346422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 13*c + 46. Let p be t(7). Factor -236*h - 7*h**4 + 12*h**p + 405 - 103*h + 80*h**3 - 381*h + 230*h**2.\nAnswer: 5*(h - 1)**2*(h + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6615 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 55727, 55569, 55371, 55139, 54879?\n\"Answer: o**3 - 26*o**2 - 87*o + 55839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*o + 60*o + 40*o)*(26*o**3 - 69*o**3 - 24*o**3) to the form z + s*o + l*o**4 + c*o**3 + a*o**2 and give l.\nAnswer: -5226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1537 = 17*f - 5076. Let i = -356 + f. Calculate the lowest common multiple of i and 121.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(0 + (-2)\/(-1)). Suppose 5 = u*z - z. Solve 0 = -0*q + z*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/30*(-21)\/((-252)\/20)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4585, -183, -4949, -9713, -14475?\nAnswer: -19235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.9073 + 12.3. Let m = -0.94 + 0.55. Let g = m + y. Round g to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 22 = -5*r, -r - j = 3*j - 18. Suppose -6*s - r*s = 0. Solve 0 = d - s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1045795 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 6. Suppose 0*z + 15 = -3*z - g*v, -5*v - 19 = -z. Let a be 24\/14*21\/102. Do a and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o + 7. Let z(j) = 7*j + 14. Let s(u) = 5*m(u) - 3*z(u). Let t be s(-7). Calculate the greatest common factor of 14 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20245*d**2*g**5 + d**2*g - 11*d**2 + 331*d + 59*g**5 - 47*g**2 wrt g.\nAnswer: 1214700*d**2*g**2 + 3540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130, -28, -774, -2420, -5278?\nAnswer: -9660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14739779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 4*t - 7 = 0, l - 161*t = -156*t + 7 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 108 + 28. Solve -3*d + s*d + r = 17, 5*d - r = 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57956 - 58046 + 0*a - a)*(1 - 1 + 1).\nAnswer: -a - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2211002000120 (base 3) to base 15.\nAnswer: 1e8a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -221786 (base 10) in base 5?\nAnswer: -24044121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-49)\/35 - (-378)\/70 - 6\/2. Sort -7, -1, 2, 49, z.\nAnswer: -7, -1, z, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(14)\/sqrt(2)) + -4 + sqrt(700) + 0 + -1.\nAnswer: -5 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let n be (4\/6)\/((-2)\/(-6)). Suppose 3*k = 2*k - 5*s + 27, -4*k - n*s + 18 = 0. Let d(m) = m**2 + k - 2. Give d(o(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -566 + 1202 - 636 - j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b*m*z**2 - 3*b*m + 23*b*z**2 + m**2*z + 10*m**2 with respect to z.\nAnswer: -16*b*m*z + 46*b*z + m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 3*x**2 + 6*x - 2. Let r be p(3). Let c(g) = g**2 + 7*g + 7 - 21*g + 0*g**2 - 3. Is c(r) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 302 + -3?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-1*6)\/(-1*sqrt(1452)).\nAnswer: 6*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8689.353 micrometers to kilometers.\nAnswer: 0.000008689353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -912 divided by 19?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:49 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -19. Suppose -d*w - 26 = -6*w + 2*r, r = -1. Calculate the greatest common factor of w and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160603, -160176, -159453, -158428, -157095, -155448, -153481, -151188?\nAnswer: -148563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w**2 + 197*w - 837. What is z(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 90 + 99. Solve -9*o = -0*o + u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 25*g - 21*g - 5*v, 3*v = 9. What is the smallest value in -5, -29\/9, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 3, -5, -0.4499, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 + -81. Let n = 47 - b. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202727 (base 10) in base 9?\nAnswer: -338072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {l: 2, q: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/3 and -1*(-2 + ((-1640)\/135)\/(-8)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 61, 126, 191, 256?\n\"Answer: 65*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 27 - 21 = 0. Let g(y) = 7*y**2 + 2*y - 3*y**2 - x*y. Let b(p) = 2*p. Determine b(g(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 103*v - 29. Let x(z) = 2*z**2 + 46*z + 50. Let p be x(-22). List the prime factors of i(p).\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 185*s - 31806. Determine m(172).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1880 and 1551.\nAnswer: 62040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 - 187\/3. Let p = 6286 + -6284. Is f not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 98*z + 277. What is y(-95)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 585942607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.93 + -5.6. Let k = -0.921 - -0.621. Let c = a + k. Round c to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*h + 280*h + 23*h + 1194 = -3*u, -9 = -3*u + 160*h - 162*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.2247.\nAnswer: -0.02247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1071\/(-918))\/(14\/16*4140\/(-45))\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 12, e: 7}. Give prob of sequence reee.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21822221, -43644442, -65466663, -87288884, -109111105, -130933326?\nAnswer: -152755547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 356.4 + -356.44. Which is greater: f or -6\/23?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109.347388 + 109.35. Round d to 4 decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -9. Let r = -8.5 - t. Which is the closest to -1? (a) r (b) 0.1 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + u - 5 = 6*u, 3*j = -2*u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2015 (base 6) to base 3.\nAnswer: -121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/580 and -117\/14972410.\nAnswer: 29944820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3374480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135965*b*p**3 - 155183*b*p**2 + 1 wrt p.\nAnswer: 815790*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -122 and -70 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172 and 9435318.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:57 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 1)*(p + 2 - 2) + 10*p + 21 - 21 + p + 3*p - 3*p as d*p + r and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14))\/(30\/35).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30618 and 350?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.86 + -19.36. Sort s, 7, 0.2, 3 in decreasing order.\nAnswer: 7, 3, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(3\/5)*j)\/j)**(1\/43)\/(j**(1\/3)*j**7\/j))**48 assuming j is positive.\nAnswer: j**(-65216\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1012 - -1013. Let m(o) be the first derivative of 2*o**3 + 3*o**2 + 1\/2*o**4 + 2*o + p. Solve m(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2\/3 - 7188140*v + 21564408.\nAnswer: 4*(v - 5391102)*(v - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 11:12 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25232 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060220 rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 792.685 - 794. Round f to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8761308.6 rounded to the nearest 10000?\nAnswer: 8760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, n: 6, g: 2, m: 1, j: 2, l: 1}. Give prob of sequence lkk.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -123*c = -145*c - 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*4\/6 + 163. Let v = u + -163. What is the nearest to -10 in v, 2\/17, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*x**2 - 149*x**2 + 817 - 243*x**2 - 818 in the form u*x**2 + r + g*x and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 629486, 629497, 629508, 629519, 629530?\nAnswer: 629541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1331600*b**2*d**3 - b**2 + 801*b*d**2 + 2*b - d**5 + 35*d**2 wrt d?\nAnswer: 7989600*b**2 - 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 55. Solve -2*v = -0*v - 4*j - 12, h*v + 2*j = -6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 5*m**2 + 4*m. Let z be a(-3). Suppose 3*h + 7 = 4*y - z, -4*y - 5*h + 21 = 0. Solve y*k + 2 = -10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 882\/(-27)*13\/(52\/(-1890))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 11 = 21*l - 20*l, -28 = q - 5*l. Let u(a) = -2*a**2 + 13. What is u(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.65223 rounded to three decimal places?\nAnswer: 0.652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.055 + 0.0550008. What is z rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1. Let z(y) = 25*y - 3. Let q(k) = 2*g(k) - z(k). Let a be q(-1). Solve -5*j - 4 = -a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 5.\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51 - -93. Let x = 19 + -17. Suppose x*b + w = 5*b. What is the remainder when b is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/152 - 35\/120.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**2\/7 - 44*v\/7 + 32 = 0. Calculate v.\nAnswer: 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.868391 millilitres?\nAnswer: 0.008868391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 46. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -47. What is the remainder when d is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**3\/3 - 3*b**2\/2 + b. Let y(p) = 2*p + 7. Let w be y(-7). List the prime factors of v(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(8)*-1) + (2 + -2*sqrt(5))**2.\nAnswer: -9*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 26*t**2 + 18*t + 60. Let o(r) = r**3 - 2*r**2 - r. Let a(f) = -2*o(f) - q(f). Let c be a(-24). What is c rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 1. Let r(h) = h - 2. Let q = -12 + 14. Let m(l) = q*y(l) - 3*r(l). What is m(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 23*f**2 - 141*f - 915. Give n(29).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (48 - 51 + 35 + 67)*(-4 + 5*h + 4) to m*h + q and give m.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(2\/24*-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 155650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 4050.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {c: 1, p: 4, g: 1, x: 2, l: 5, h: 7}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 911922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 3*z**8\/28 - z**4\/6 - 10*z. Find the third derivative of m(a) wrt a.\nAnswer: 720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.71 - -0.41. Let x = -0.8 + -0.2. Which is the nearest to -1\/4? (a) x (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126838211485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -3*n. Suppose -2*g + 2 = -6. Let r be g + 2*(-1)\/(-2). Solve n*z + r = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*k - 38, -55*c - 27 = -59*c + 3*k. Solve -q = -4*r + 29, q = -2*r + c + 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82916895 to three decimal places.\nAnswer: 0.829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 14*v**2 - 177*v - 28. Determine k(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-4 - ((1 - 0) + -3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*m + 7 = 0, -2*m - 3 + 4 = 3*n. Let q(d) = -4*d**2 + d + 6. Let f(s) = -s**2 + s + 1. Let k(a) = -3*f(a) + q(a). Calculate k(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2189?\nAnswer: 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -353*h - 3203 + 17548 - 3414 + 28252 for h.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14676, -14677, -14678?\nAnswer: -14679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 6*s**2 + 5*s - 1. Give p(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -2*n + 5. Let b = n + 3. Factor 2\/7*f**b + 0*f - 2\/7.\nAnswer: 2*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 - 115. Solve 0 = 10*g - w*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1681 and 1598.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -717300 rounded to the nearest one thousand?\nAnswer: -717000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a**5 - 56*a**4 - 123*a**3 - 101*a**2 - 5. Let r(x) = -19*x**5 - 84*x**4 - 185*x**3 - 151*x**2 - 7. Let c(h) = 5*r(h) - 7*v(h). Factor c(n).\nAnswer: -4*n**2*(n + 2)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + 32\/(-30)*(13 + -18). Which is the second biggest value? (a) 4 (b) -3 (c) t (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 6*s + 11. Let o = 49 - 64. Let f be (-6)\/o + (-336)\/40. Give m(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g - 3*r + 787, -r - 1 = 0. Let m = g + 160. Let w(a) be the third derivative of -a**4\/24 + a**3\/3 - 7*a**2. Determine w(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g**3 - 61*g**3 + 27*g**3 + 17*g**3.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 655048 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w**2 - 12*w + 82. Let c(i) = 26*i**2 - 47*i + 329. Let b(a) = -2*c(a) + 9*p(a). Is b(-18) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l + 2*h - 14, 3*l + 4*h = 25. Suppose 2*y - 8 = j - 6*j, l*y - 2*j - 12 = 0. Solve o = -5*k - 20, y*k + 12 + 4 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 11*q. What is the lowest common multiple of 15 and l(8)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 10 + 2. Suppose g + 2*g - w*k = 13, 4*g - 2*k = 14. What is the second derivative of 2*i**2 - 4*i**2 - g*i + 5*i + i wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126682814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652466672 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 20815.\nAnswer: 228965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3752 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - 3*x + 3*x - 3*x + 5*x + 0*x + (3*x - 3*x + 2*x)*(61 - 36 + 109).\nAnswer: 268*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.262 and -1049?\nAnswer: -274.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 54244386 + -5?\nAnswer: 54244381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l**2. Let t(o) = 2*o**2 - 2. Let h(i) be the first derivative of 26 + 0*i**2 + 4\/3*i**3 - 5*i. Let r(w) = 2*h(w) - 5*t(w). What is r(g(z))?\nAnswer: -242*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4*i = 8, -4*r + 19 = -9*r - 2*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*z - 189*z - 4200 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2960363?\nAnswer: 7, 17, 24877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 7 - (3 + 1 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**4 - 6*d**4 - 176*d**2 + d + 37 - 9 + 178*d**2 in the form b + u*d**4 + t*d**2 + j*d**3 + m*d and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -8. Suppose -5 = -j*m + 35. What is the smallest common multiple of m and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -953 + 476 + 40*n**2 + 477.\nAnswer: 40*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 3\/30034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-6028883.3.\nAnswer: 24115533.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.514745316 rounded to 2 dps?\nAnswer: 2.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40 - 40 + t + (-3*t + 2*t + 3*t)*(5 - 3 - 4) + 2*t - 5*t + 2*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 5*p**2 + 1629*p - 4*p**2 - 1542*p - 87*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 d, and 1 r when four letters picked without replacement from {d: 7, m: 5, r: 1, h: 5}?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -3*g - 5*z - 65180, 6*g - 78205 = -5*z. What are the prime factors of g?\nAnswer: 3, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -132.2, 5, 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 602 divided by 301.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 17. Calculate q(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/7 + 61918*k\/7 + 8874720\/7 = 0. What is k?\nAnswer: -30815, -144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 2:41 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/4*(0 + 4). Suppose -t = -5*r - 2*r. Suppose 2*b = -3*h + r, -2*h - 2*h - 4 = 4*b. Solve h*p + 12 = -p - i, p + 3 = -i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 3*a - 8 + 2, 4*a + 1 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuuwowoouuo. Give prob of picking 1 u and 1 o.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 14*q**3 + 2*q**2 + 3. What is the remainder when v(2) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2379428, 4758857, 7138286, 9517715?\n\"Answer: 2379429*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 656302972 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 57.390432415553?\nAnswer: -61.390432415553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 2\/9, 0.05, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -1\/8*f**4 + 0*f + 0*f**3 - 3 - 7\/2*f**2. Let s(l) be the second derivative of v(l). Let h(n) = 2*n**2. Determine s(h(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.07129113 to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 481 + -483. What is the second biggest value in 10, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4381925 a multiple of 657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(28)*1)\/((3*sqrt(512))\/sqrt(8)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82522 to three dps.\nAnswer: 0.825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 58802 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-9)\/(-2))\/(2\/8480*-20).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3\/8*s**4 - 57\/8*s**3 + 105\/2*s + 117\/4*s**2 - 75 = 0.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, u: 1, v: 1, d: 2, f: 2, l: 1}. Give prob of picking 1 d, 1 q, and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*n + 12 + 72 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 10*b**2 + 8*b. Let u(p) = -3*p**2 + 3*p - 4. Let d(j) = 4*j**2 - 4*j + 5. Let f(c) = -4*d(c) - 5*u(c). Determine -18*f(q) + 2*o(q).\nAnswer: -2*q**3 - 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 + 2*i**2 - 2*i**2 + i**2 + i**4 + 2 - 2*i**4 in the form h*i + g*i**2 + c + o*i**4 + m*i**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -189 in 2, 1, 142.1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3619286?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, 23, -0.1 in decreasing order.\nAnswer: 23, 1, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 37*s**2 + 3*s + 37. What is the tens digit of b(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/4005 and 25\/1799046?\nAnswer: 8995230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-21\/4))**(3\/20) assuming w is positive.\nAnswer: w**(-51\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (29582\/19017)\/((-70)\/(-3))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 1478?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/18*(-15)\/10*2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 2*c**2 + c**2 + 11*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mllj when four letters picked without replacement from {m: 2, u: 1, h: 5, l: 2, j: 4}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 326207 or 4240707\/13?\nAnswer: 326207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g + 1222730 - 1220663 = 0 for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7, 0, 13, 32, 57, 88?\n\"Answer: 3*h**2 - 2*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 5, 3.\nAnswer: -4, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/130)\/(462\/1001)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 59, 90, 117, 140, 159?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 2 r when four letters picked without replacement from {k: 4, j: 5, r: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*h - 36 = 0, -2*q - 2*h + 4 + 14 = 0. Let t = q + 151. Let m = 279 - t. What are the prime factors of m?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x - 15. Suppose -h = 4*u - 2*h - 14, -u + 3*h = -9. Let t be s(u). Suppose t*o = 10*o - 20. Solve 4*y + 6 = o*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2413 = -68*u - 1325 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.2 - 4.023. Let w = -0.023 - v. Let m = 12\/17 - -8\/85. Which is the nearest to w? (a) 0.2 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - d - 6. Suppose -3*h + 15 = 0, 0*l + 4*h = -5*l + 35. Let q be m(l). Solve -q = -v - 3*o + 5, v - 17 = -4*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -3.182.\nAnswer: -0.9546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 832, 1, 3, 5 in descending order.\nAnswer: 832, 5, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -8.7, -3, 2, 6, 0 in ascending order.\nAnswer: -8.7, -3, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/23*(6\/4)\/(18\/24).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 695.5, 1\/3, 3, 1.06 in increasing order.\nAnswer: 1\/3, 1.06, 3, 695.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - u. Let v be a(-3). Let n = 464 - 429. What is the highest common factor of n and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 364*y**4 - 2034558*y**2 + 22707*y + 1303 wrt y?\nAnswer: 4368*y**2 - 4069116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22771?\nAnswer: 7, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*(444\/(-10))\/37?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 69105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 6:21 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*k + 3*h = 22*k - 3, -k + h = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 72402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 2*k**3 - 12 + 3 - 13.\nAnswer: 2*k**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 56942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17693, 17698, 17703, 17708, 17713, 17718?\nAnswer: 17723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1. Let c = 4 - 5. Let i = -3499 + 3497. Let b(v) = 3*v**2 + v - 3. Give c*b(y) + i*z(y).\nAnswer: -3*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 186?\nAnswer: -193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2 - 138*f - 2301 = 0. Calculate f.\nAnswer: -13, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4 (b) 1\/13 (c) 3 (d) -44 (e) -13\/2 (f) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1704, -1706, -1708, -1710, -1712, -1714?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 3*u - 4 + 11*u - 16*u + 5*u. Let h(l) = -1. Calculate 2*h(o) - y(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 r, and 2 q when four letters picked without replacement from mmrxmrqmmzmqrmr?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 300.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -676 or -19\/4?\nAnswer: -676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 13*z - 1. Give y(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*x = 8, -20 = 2*s - 4*x - 0*x. Let z(t) = -t**3 - 5*t**2 - 7*t - 7. What is z(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -5)\/(-3*4\/20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-33)\/27) + 25\/9. Suppose b = 5*v + 17, v = -o*b + 2 + 1. Let s(l) = -1658*l**2 - l**3 + l + b + 1656*l**2 + 5*l. Determine s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1217.23 rounded to the nearest 10?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28434 + -28432. Solve 48*o + w*o - 200 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 42180 = -m + 16*m. Is m a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let g(r) be the third derivative of 2*r**7\/63 + r**4\/8 + 5*r**3\/6 - 24*r**2. Let u(b) be the second derivative of g(b). Give u(m(s)).\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*0\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 472 and 150607589?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298\/5 + 60. Suppose 0 = -3*j - k + 43, -3*k - 8 = -2. Suppose -j*g + 5*g = 30. Which is the fourth biggest value? (a) -0.06 (b) -1\/5 (c) r (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*s + 20 = 0, -5 = -j - 83*s + 86*s. Solve w - 4*q = -5, -4*w = -j*w + 3*q - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*c + 6*c - 6*c + 174 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 15*z + 743. What is v(0)?\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -170.8 + 149. Let r = 21.7778 + s. Round r to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135075 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(180) + 0)**2 - -5*(-1 + sqrt(5))) + ((sqrt(320) - -2*sqrt(320)) + 4)**2.\nAnswer: 198*sqrt(5) + 3071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 97*x**8\/56 + x**6\/30 - 19*x**4\/4 - 4*x**3\/3 - 1616*x. Find the third derivative of i(t) wrt t.\nAnswer: 11640*t**3 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 275 - 271. Let i = -5 - -15. Suppose 5*b = -i + 5. Put -3, b, 5, s in increasing order.\nAnswer: -3, b, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-242)\/(-363))\/(3\/(6\/(-1)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + -6 - -10 - (35 + -72 - -33)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t + 9. Let y(u) = 2*u - 33. Let z be y(11). Let i(s) = 4*s - 5. What is z*i(r) - 6*d(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 0 + -3)\/2. Let j be 2 + 0 + (-2 - w). Suppose j = 3*l + l - 56. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13245 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15416 by 1927.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 13*s**2 + 12*s + 41. Let w be p(14). Calculate the highest common divisor of w and 3029.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203214839 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 11*q**2 + 9*q + 9. Let u be n(10). Which is the closest to u? (a) -0.4 (b) -2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, p: 1, d: 3, w: 2, c: 1, g: 3}. What is prob of picking 1 g, 1 d, and 1 a?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105711 and 2505.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*y**3 + 1 + 92720*y**2 + 1 - 92682*y**2 to the form j*y**2 + z + t*y**3 + x*y and give j.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/17860 and -17\/3527350?\nAnswer: 7054700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2126218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93451167*l**2 + 57359402*l wrt l.\nAnswer: -186902334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*g = -2*d + 445*g - 41, -g = 280*d + 1109 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 18.\nAnswer: -13\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -140*l - 570. Let q be j(-4). Let r(a) = -a**3 - 9*a**2 + 12*a + 21. Calculate r(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 31412 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48 and -502447?\nAnswer: 24117456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40915 by 245.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*o + 8 = 0. Let d be (-17)\/4 + 1\/o. Let r(j) = -3*j - 1. Is r(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13202556)\/(-9)*90\/120*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/19 + 36*l**2\/19 - 1526*l\/19 - 11760\/19.\nAnswer: 2*(l - 24)*(l + 7)*(l + 35)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 - 92. What is the common denominator of (-1)\/(-4)*(-462)\/15 and 10\/(1 - (-46)\/v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 6*y - 4. Let h be n(-6). Let d = 1654 + -1656. Which is the closest to -0.06? (a) -1 (b) h (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5642162?\nAnswer: 2, 47, 193, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 25*x**4 - 230*x**3 - 471*x**2 - 260*x - 44 = 0.\nAnswer: -1, -2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 3*o**2 + 3*o - 1. Let f be q(2). Suppose 0*v - v = -21. Let b = f + v. What is the remainder when 11 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/5*(-21675)\/(-153) is divided by 88?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18\/11 + -104\/77. Let r be 16\/10 - ((-216)\/30 + 8). Which is the nearest to 5? (a) -2\/17 (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-45)\/m*m**37)\/((m**16\/m)\/m)**(-4\/19) assuming m is positive.\nAnswer: m**(-115\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775.65 millilitres in litres?\nAnswer: 2.77565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 = 3*k, 0*q - 3*q + 2 = k. Let n = -0.11 - 0.09. Which is the nearest to n? (a) q (b) -1\/3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1558523 rounded to five decimal places?\nAnswer: 0.15585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z = -4*u - 48*z + 8499, -5*u - z = -10623. What are the prime factors of u?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 3:11 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340040, 679993, 1019946, 1359899?\nAnswer: 1699852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 + (-60)\/16. Sort k, 8, -1, 0.\nAnswer: k, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1102 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 57*x**2 + 344*x + 99. Determine j(9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 3. Let f(z) = -194*z - 17. Let u(v) = -f(v) + 3*p(v). Is u(2) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 11:06 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 162, 171, 182, 195, 210?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4758781 and 268050?\nAnswer: 1787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 24*w**2 - 4*w + 87. Let l be i(24). Let q(t) = -t + 34 - 6 + 0. What are the prime factors of q(l)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**3\/9 - 62*x**2\/3 + 532*x\/9 + 80 = 0.\nAnswer: -1, 4, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (32\/60)\/(36\/30)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*b - 137*b + 5*d = -13, 2*b + d - 48 = 0. Suppose 26*h - b*h = 9, 0 = -2*p - 4*h + 14194. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50335 times 8.8?\nAnswer: -442948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483*p + 494*p - 961*p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 w, and 1 j when three letters picked without replacement from wsejeewee?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 3*d + d)*((4*d**2 - 5*d**2 + 0*d**2)*(5*d - 5*d + 2*d) - 7*d**2 + 14*d**3 + 7*d**2).\nAnswer: 12*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpgmmuammp. Give prob of picking 1 g and 1 u.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 549*n**2 + 2*n**3 - 1118*n**2 + 570*n**2 - 4*n - 21 to v*n**2 + k + x*n + b*n**3 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-783))\/(-8 - -15 - (-74)\/(-12))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 52 = -12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.548 * 140.2.\nAnswer: -76.8296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 - 3*o**4 - 15*o**3 + 3*o**2 + 24*o + 12.\nAnswer: 3*(o - 2)**2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j + 10. What are the prime factors of o(20)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -210\/17 (b) 4 (c) -5 (d) 0.79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 24*w**2 - 56*w - 3709. Determine d(-27).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m**3 - 70*m**2 + 5*m**3 + 4 + 7*m**3 + 63*m**2 in the form j + l*m + t*m**3 + q*m**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let q be f(0). Suppose 4*y - 5*b = 37, -5*y = 4*b - q*b + 5. Solve -4*m + 3*u - 2 = 6*u, -4 = 2*m + y*u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -g. Suppose h - 2 - 4 = g. Let l(a) = a + 15. Let b be l(-6). Calculate the highest common factor of b and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 12, -27115 + 9590 = -4*m - 5*l. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j*j\/(j**(-2)\/j)*j)**7\/(j*(j*j**(-2\/3)*j)\/j*j*j**(-3\/5)))**9 assuming j is positive.\nAnswer: j**(2442\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135132981 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*q + 3 = 1, -14 = -4*h + 2*q. What is the lowest common multiple of h and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 7) to base 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 19138?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 8*i + 1. Let s(r) = r**2 - 9*r - 31. Suppose 0 = -3*y + 46 - 13. Let t be s(y). What is n(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) + sqrt(363) + 1 + -2 - sqrt(363)) + 5*(sqrt(363) - sqrt(363)*-2) + (-6*sqrt(48)\/sqrt(4))\/(-5*sqrt(4)*-2))*2)**2.\nAnswer: -7016*sqrt(3)\/5 + 9229648\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59067, 59055, 59041, 59025?\nAnswer: 59007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + j - 8, -u - 4*j + 9 = -5. Let c = 708163\/350235 + 2\/7783. Let t = -14\/5 + c. Is u greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 19*d**2 + 3. Let v be f(19). Sort -5, v, 5 in increasing order.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 646 + 337 + 8*c**2 + 123*c**3 + 309.\nAnswer: 123*c**3 + 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 88*y - 91*y + 5, 4*y - 11 = 3*m. Let f(d) be the second derivative of -d**2\/2 - d. Let u(k) = k - 3. Calculate m*u(h) + 3*f(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 260, 523, 784, 1043, 1300, 1555, 1808?\n\"Answer: -s**2 + 266*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*m**3 - 2*m**2 + 49*m**3 - 3*m - 98*m**3 - 5 in the form b + x*m**2 + q*m**3 + f*m and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17845106?\nAnswer: 2, 8922553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5\/2)\/f*f**(-15))\/((f\/(f\/(f**3\/f))*f)\/(f*f**(-4\/3))) assuming f is positive.\nAnswer: f**(-131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13151 + 2258. List the prime factors of p.\nAnswer: 19, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 574, -83 in ascending order.\nAnswer: -83, -3, 574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11117 - 10968. Solve -z*l = -155*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 519 = 2*r - 3*u - 2*u, 5*r + u - 1365 = 0. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2300563638 and 5612?\nAnswer: 2806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 304*b**2 + 2*b + 3. Let c be m(-2). Let o = 7325\/6 - c. Find the common denominator of o and (1\/(-12))\/(3\/(-138)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 5\/6 (b) -29\/4 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-285)\/(-18))\/95 + ((-2155)\/6)\/(-5) and 3504.\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-2)*2\/12. Let a = 149\/18 + -8. Let n = 2\/9 + a. What is the smallest value in n, 2\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, c: 3, z: 1, l: 2, t: 3, v: 2}. Give prob of picking 2 v, 1 y, and 1 c.\nAnswer: 9\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 302 + -157. Does 29 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 816553*d**4 + d**3 + 28*d + 5629.\nAnswer: 9798636*d**2 + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.15 (b) 1\/18 (c) -0.1 (d) -4 (e) 3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13745)\/(-2)*(1\/5 - -1). Find the third derivative of -28*w**3 - 6*w**2 - 8247*w + m*w wrt w.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 255 + -250. Solve 0 = 2*y - z*y - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -199*h**2 - 194*h**2 + 394*h**2. Let l(j) = -83*j. Calculate l(p(z)).\nAnswer: -83*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-6)*(-57)\/(-38) + 2\/(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 838871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.54 equal to 1\/220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-212)\/(-3))\/(10\/15). Let m be s\/((12\/9)\/(-1)). Let x = -78 - m. Which is the biggest value? (a) 3 (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -869 = -135*s + 481. Let h be (6\/4)\/(9\/51). Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*b + 35 = 2*b, 4*b = 2*j. Suppose 151 = 3*n + 2*c, -c + 6*c = j. Calculate the remainder when n is divided by 62\/6 - 1\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 150, 306, 484, 660, 810?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 5, 54 in descending order.\nAnswer: 54, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -10. Let d be (-15)\/(-6) + -4 + 66\/12. Suppose d*y + 7*y = 11. Calculate the lowest common multiple of a and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**6\/20 - 9*b**5\/5 - 13*b**4\/2 + 302*b. Factor j(g).\nAnswer: 3*g**2*(g - 26)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 24889*s**2 + 77*s + 690. Let g be o(105). Round g to the nearest 1000000.\nAnswer: 274000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288329?\nAnswer: 373, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.5 + 0.5. Let w = -148\/451 - -6\/41. Which is the smallest value? (a) w (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = -3*b, -2*b + 0*b - 4*k + 8 = 0. Let y(d) = -105*d**2 - 111*d**b - 2*d - 1 - 329*d**2. Let s be y(-3). Round s to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = -y. Suppose -2*v + y*s = 0, s = -2*v - s. Suppose v*p + p = 331. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/6 - 5\/(-2). Let g = 1 + k. Let b(z) = 0*z - g*z + 2*z. Let n(v) = -2*v. What is b(n(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 5. Let x(s) = -s**2 + 13*s - 5. What is the units digit of x(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 7*d - 13. Let m be n(-9). Suppose -2*r + 56 = 4*y, m*r - 2*y - 95 = 3*y. List the prime factors of 2\/(-11) - (-268)\/r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*p - 36 = 0. Suppose 5*c - p*d + 5 = 1, -4*c = d - 1. Let h = c + 88. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*w - 2, 3*w - 2*d = 3 - 5. Sort -4, w, 2, -6 in descending order.\nAnswer: 2, w, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 21. What is the remainder when 2*1\/2*41 + 3 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + -7 + 3 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141.2667 * 0.4.\nAnswer: 56.50668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k + 25 - 28 - 2*k + 13. Give j(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*g + 20 = 0, 17 = 2*o - g - 0*g. Let s = o - 3. Suppose -s*q + 107 = x, -5*q + 3*x + 89 = -94. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263 - 261. Let x(j) = 47*j**g + 60*j**2 - 113*j**2 - 5*j + 5. Let h be 1\/(-2)*(-4)\/2. Let i(s) = s**2 + s - 1. Calculate h*x(a) + 4*i(a).\nAnswer: -2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, e: 3, s: 1}. Give prob of picking 3 e.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 38295?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 25*t - 4. List the prime factors of o(2).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4 + 12 = 4*o, 2 = -2*l + o for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x - 12430 = 385*x + 65*x + 8823 for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 0*k**2 + k**2)*(305*k + 1 - 38*k**2 - 305*k).\nAnswer: 76*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.08 + -0.1. Let i = q + -1.98. Suppose 3*w - 61 = 5*b - 0*w, 19 = -2*b + 3*w. Which is bigger: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4849182 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - b = -15, 189682*b - 189683*b + 3 = -3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(0 - 6\/(-63)). Let w be 49\/d*4\/14. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + 11 + -20 - (7 - 4)) + -14.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*t + 0 + (t + t - t)*(1 - 2 - 1) - 2*t + 3 - 3 + 1 - 1 + 2*t + (0*t - 4*t + 5*t)*(-4 + 1 + 1 + (0 - 3 + 6)*(3 - 5 + 3)) - 2*t + 3 - 3.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8344\/507 + -278834\/50193. Let d = f + -124\/11. Is d < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 7:23 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 103517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/5))**(-47)*(c**(2\/13)*c)**(-1\/4) assuming c is positive.\nAnswer: c**(-7407\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -x - 63. Let g = -51 - x. What is the nearest to 0 in 2, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*g**2\/4 + 2031*g\/4 + 145\/2.\nAnswer: (g + 290)*(7*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let t(l) = -l + 1. Suppose -5*h = -2*h + 6. Give h*t(b) + g(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9981 divided by 3.\nAnswer: -3327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 8:45 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -287*x + 5. Let s(y) = 139*y - 2. What is 6*p(g) + 15*s(g)?\nAnswer: 363*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 361572 + -161659. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (6*-1)\/3. Solve x - 20 = -z*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -233*c**3 + 4*c**2 + 5*c + 151. Let n(s) = 210*s**3 - 3*s**2 - 4*s - 152. Let w(x) = 4*l(x) + 5*n(x). Find the first derivative of w(m) wrt m.\nAnswer: 354*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acuhacc. Give prob of picking 1 c and 1 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -28*i**2. Let u(o) = -o**2. What is -l(x) - 3*u(x)?\nAnswer: 31*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1087057847322 - -0.1.\nAnswer: 1087057847322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*s + 2050 = 0, -1214 = -3*k - 0*k - 5*s. Suppose 2*i = 8*i - k. Calculate the highest common divisor of i and 255.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 594736.8l to millilitres.\nAnswer: 594736800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ney when three letters picked without replacement from {y: 1, e: 2, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(((s\/s**(-2)*s)\/s)\/s)\/s))**(-1\/22)*(s\/(s*s\/s**(1\/3)))**(2\/19) assuming s is positive.\nAnswer: s**(-31\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 5*k**2 - 48*k - 17. Give v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j**(5\/2)\/j*j))*j**(2\/27)*j*j*j)**(1\/33) assuming j is positive.\nAnswer: j**(301\/1782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631*d + 61 = 640*d - 20 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -530\/9 + 59. Find the common denominator of l and (-21)\/(-82) - (-117 + 117).\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 47. Solve 0 = -3*j - 0*j, 0 = -d*r + 2*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Let i(j) = 10*j. Let f(m) = -3*i(m) + 14*q(m). Let u be f(-5). Solve 4*g = -g + u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Calculate the remainder when 38 is divided by -39*(1 - w\/3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i + 0*i)*(0 + 2 - 4)*(-77 - 13*i**2 + 77)*(-1 + 2 + 1).\nAnswer: 208*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2266 = -2326. Calculate the remainder when 45 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -75*l + 8. Let z(a) = -a**2 + 2*a + 12. Let s be z(5). Let i(r) = 76*r - 9. Let p(y) = s*x(y) - 4*i(y). Is p(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2 - 6*v**2 - 1 - v + 0*v**2 + 5*v**2. Let k(b) = -8*b**2 - 5*b + 5. Determine -5*a(m) + k(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (11 - 0) + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q + 11*q - 31*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -222, -9.9 in decreasing order.\nAnswer: 6, -9.9, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 49 = -3*h. Let f(k) = k**3 - 8*k**2 - 10*k + 13. Let d be f(h). Solve 0 = -d*o + 4 - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.36 + 10.4. What is the fourth smallest value in 1, -0.2, y, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140483 divided by 427.\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3129*i - 63. Let k(s) = 313*s - 6. Determine -21*k(u) + 2*p(u).\nAnswer: -315*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -2*y - y**2 + 1\/6*y**3 + 0. What is the units digit of i(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/((-27)\/6) + 1. Let z be k\/(6\/(-12) + 1) + 2. Which is greater: z or -4\/91?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 4*p**2 + 207 + 4*p**3 - 212 - 5*p**3 to l*p**2 + y + w*p + d*p**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 12 = 0, -j = -2*z - 2*j + 2000052. Suppose z = -12*f + 8*f. Let h be -3 + (1 - (4 + f)). Round h to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14)*v**(-2\/29))\/(v*(v\/v**0*v)\/v)**(-2\/153) assuming v is positive.\nAnswer: v**(-62308\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 723.01 - 723. What is the third biggest value in z, 0.3, 3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 14*u - 286. Give b(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193928753.\nAnswer: 43, 67, 83, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4272.638ml?\nAnswer: 4.272638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.19444934544 and -0.1.\nAnswer: -2.29444934544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - -115 - (147 + -115 - (3 - -33)).\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -2 + 17 + -1 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 3*n**3 + 3*n**3)*(3*n + 0*n + 3*n) + 8*n**4 - 6*n**4 - 7*n + 19*n.\nAnswer: -10*n**4 + 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-27)*a**(-2)*(((((a**(-4\/13)*a)\/a)\/a)\/a)\/a)**3 assuming a is positive.\nAnswer: a**(-506\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.6 and -0.15.\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 5*s**2 - 4*s + 2. Determine j(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**13\/(x\/x**(-25\/2)) assuming x is positive.\nAnswer: 1\/sqrt(x)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (91695\/(-12))\/(15\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 13. Let s be f(10). Solve 2*m + 4 = -s*q, -m + 17 = -2*q + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5756 less than 351136\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/67? (a) 2\/3 (b) -1\/2 (c) -0.5438 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, k: 1, w: 7, n: 2}. What is prob of picking 1 n, 1 w, and 1 d?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (44\/66*6\/(-81)*9)\/((-5)\/18)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - -4) - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 + 1763.2.\nAnswer: 1728.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*b*z**6 - 16*b*z**5 - b*z**2 - 17*b - 2*z**2 wrt z.\nAnswer: -1440*b*z**3 - 960*b*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 14*i + 204. Calculate u(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - z = -3*z + 12, 22 = -5*t + 4*z. Let y be t + 981010\/6 - 30\/45. Let b = 78499 - y. Round b to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6217 + 6232 = -15*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1010, -1, 1, -3186, -3 in decreasing order.\nAnswer: 1010, 1, -1, -3, -3186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/1)\/(6\/(-1))*(180792\/1612)\/162?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 0*h**6 + 0 + 0*h + 0*h**4 + 2\/105*h**7 - 10*h**2 + 0*h**3 - 7\/30*h**5. What is the third derivative of f(d) wrt d?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -671*x**2 - 11. Let i(d) = 1341*d**2 + 26. Determine 3*i(v) + 7*r(v).\nAnswer: -674*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14 (b) -2\/5 (c) -630.1 (d) 137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82 and 334519?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2. Let w(t) be the third derivative of -7*t**6\/72 - t**4\/12 - 4*t**3\/3 - 18*t**2. Let m(l) be the first derivative of w(l). What is g(m(o))?\nAnswer: -2450*o**4 - 280*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1563 and 1491.\nAnswer: 776811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2873496 and 175272?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - -37. What is i rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 14*n**2 - 21*n - 5. What are the prime factors of q(-4)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (42 - 44 - -38)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35797.\nAnswer: 35797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -236846197 minus 201?\nAnswer: -236846398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261*(8 + (-70)\/(-21)) - 2\/(-1) and 40.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188596225?\nAnswer: 5, 7543849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = -19. Let h be (-1)\/2*(4 + x). Suppose h = 5*y + 4*j - 5, -4*y - 2*j + 1 = -3. Solve 0 = b - 0 - y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in 0, -5, -3\/2, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165379044.\nAnswer: 2, 3, 13781587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.0418819 less than 528956?\nAnswer: 528758.9581181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 15*b = -110220. What are the prime factors of b?\nAnswer: 2, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b7403b + 2?\nAnswer: 5b74041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2599 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13574 is divided by 6532?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**3 + 13*q**2 + 2*q + 23. Let b(x) = x**3 - 6*x**2 - 11. Let h(y) = 5*b(y) + 2*g(y). Calculate h(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 + 4*m + 4. Let w(r) = 7*r**2 - 9*r - 9. Let z(c) = 9*p(c) + 4*w(c). Let s(k) = -4*k - 2. Calculate z(s(q)).\nAnswer: 16*q**2 + 16*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*q - 92*q + 130 - 70 = 8*f, 4*q + 3*f = 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.613 to one dp.\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195212, -390236, -585254, -780260, -975248, -1170212, -1365146?\nAnswer: -1560044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 409508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/5)\/(-5*9\/225)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.2 + 30. Let p = -1.2 - x. Which is the second smallest value? (a) p (b) 0 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/175 - (-21)\/(-60).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -249, 2, 1, 12098 in ascending order.\nAnswer: -249, -5, -2, 1, 2, 12098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2991, -2984, -2973, -2958, -2939, -2916, -2889?\n\"Answer: 2*v**2 + v - 2994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 103.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 796*o + 777*o - 2288*o + 773*o.\nAnswer: 58*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a millimeter in micrometers?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163 - -105. Let i = r + 408\/7. Sort -0.3, -2\/3, i in increasing order.\nAnswer: -2\/3, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411 times 18.3\nAnswer: -7521.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147198 by -276.\nAnswer: -24533\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -1\/4, 4.49, 17 in decreasing order.\nAnswer: 17, 4.49, -1\/4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-480)*5\/(-3)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470535.\nAnswer: 3, 5, 13, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1.1 (b) 260.3 (c) -2\/615\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) -105\/4 (c) 14 (d) 0.3 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.1, 4, -6, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752210?\nAnswer: 2, 5, 19, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r - 2*r**2 + 3*r)*(-2468*r**2 + 1 + 1821*r**2 + 2*r - 4987*r**2 - 2*r) to the form n + g*r**2 + q*r**4 + s*r**3 + d*r and give q.\nAnswer: 11268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 12 = -7*m. Let l(c) = -4*c + c**2 - 1 + c + c**2 - 5*c. What is the least common multiple of 1 and l(m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -0.2. Let i = k - -1.5. Let c = i + -2. Which is greater: 3\/7 or c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*g**3 + 3467*g**3 + 4743*g**3 - 2068*g**3 + 3586*g**3.\nAnswer: 10233*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 452\/3615 - -2\/241. Let x(h) be the first derivative of 1\/2*h**4 - 6 + 0*h**3 + m*h**5 + 0*h - 4\/3*h**2. Factor x(q).\nAnswer: 2*q*(q - 1)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*w - 138*w - 43*w)*(-15 - 28 - 2 + 3) in the form u*w + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0.4 (c) -125.34 (d) 18 (e) -0.1 (f) -1 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**4\/4 - 4*r**3\/3 - 253. Let i(p) = -12 + 7*p**2 + 1 + 2*p**3 + 2*p + 1 - 3*p**3. Let n be i(7). Determine z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*f**3*u**3*w + 616*f**3*u**2 + 7*f*u**4 + 4*f*u**3*w + 7*f*u**2*w + w wrt u.\nAnswer: 360*f**3*w + 168*f*u + 24*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7224 is divided by 51.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -193*j + 914. What is the remainder when t(3) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5812 and -1687.\nAnswer: 9804844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*w = 4*w + 12, 4 = n - w. Calculate the greatest common divisor of 16 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 222430970 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*f + 183*f - 731*f = 974*f + 34314 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5322.42098 - -5323.3. Let j = -504.12 + 505. Let y = r - j. What is y rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313175532 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 9:17 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/(2\/222). Let p = j + 41. Let h = p - -55. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -223*f**5\/10 + 227*f**3\/3 - 92*f. Find the second derivative of m(z) wrt z.\nAnswer: -2676*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {p: 1, l: 1, o: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 681490 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.7 - 3.38. Let o = 0.08 + a. What is the closest to 0 in -0.1, 3, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2344 + 1.56427. Let d = r + -0.33. Round d to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + -38 - 90 - -34.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206.93 + 3.07. Let c = p + -205. What is the nearest to 0.1 in -0.3, 1, c?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, 3, 47, 103, 177?\n\"Answer: k**3 - 3*k**2 + 40*k - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/277 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 521188245 a multiple of 3285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48948, 47970, 46340, 44058, 41124, 37538, 33300?\n\"Answer: -326*t**2 + 49274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91\/18 + -220\/9. Calculate the common denominator of v and 73\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 193490?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/5)\/(595\/3400*32).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(0 + (-6)\/8). Suppose 3*h - n*h = -20. Suppose g = 6*g - h. Solve 5 = -2*s - 5*c - 14, 11 = -g*s - c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 25 = b, 4*b - 2 = 6. Let o = t - -56. Solve -5*v = -9 + o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 13*p**4\/4 - 51*p. Let m(w) = 4*w**2 + 0*w**2 - 2*w**2. What is m(t(x))?\nAnswer: 3042*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 10*q + 2. Let d be s(10). Suppose 3*z - 5 = -d. Let u = -4597\/22 + 209. Is u at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-20\/9))\/(m\/m**(-1\/10)))\/(m**(8\/9))**2)**8 assuming m is positive.\nAnswer: m**(124\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011001001100 (base 2) in base 9?\nAnswer: 57701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64027 - 9506. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 47*g - 4789. Let s be x(102). Solve -2*c = 10, 6*c = -5*q + 4*c - s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**6\/10 - b**5\/10 - b**4\/3 - b**3 + b**2 - 95*b. What is the second derivative of l(d) wrt d?\nAnswer: -72*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/223349437 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**6 + 431*c**4 + c**3 - 2*c**2 - c - 239 wrt c?\nAnswer: -360*c**3 + 10344*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/9 and -7\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 379404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, -2, 0, 6 in descending order.\nAnswer: 136, 6, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/30 - (-4)\/(-10). Let b = 28 - 40. Let d = -12.3 - b. Put -1, g, d in descending order.\nAnswer: d, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4167693, -4167691, -4167689?\n\"Answer: 2*v - 4167695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 999*o - 5141866. Calculate z(1373).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 27 - 15 + 34*m.\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/5)\/(12\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 4 + (-1)\/1. Let g = v + 2. Find the third derivative of 2*w**g + 3*w**2 - w**2 - w**6 wrt w.\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 1, -4*w + 130 = -0*w + 2*x. Calculate the least common multiple of -3*(-14)\/56 - 162\/(-8) and w.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1\/2, -1440, 2\/9, 3, -63.\nAnswer: -1440, -63, -0.2, 2\/9, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 1, -4.\nAnswer: -40, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 682037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(6 - 2 - 1) - 3 + 4 + 1)*(4*g**2 - 8*g**2 + 3*g**2 - 26*g).\nAnswer: -5*g**2 - 130*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66489632?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -277, -1081, -2413, -4267, -6637, -9517?\n\"Answer: c**3 - 270*c**2 - c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -13. Is -3 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*t + 5*a, 2*t - a - 3 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 33755?\nAnswer: 6751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -411*q**2*t*z + 6*q**2*t + q**2*z - 110*q**2 - q*t - q*z + 354737*q - 2*z wrt q.\nAnswer: -822*t*z + 12*t + 2*z - 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -27\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-15))\/(35\/175)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - (-116 + 51 - -70).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -16, -32, -66, -124, -212, -336?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.428 and 114280.\nAnswer: 48911.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -4*p + 0 + 0*p**2 - 1\/12*p**4 + 0*p**3 + 0*p**6 + 0*p**5 + 1\/14*p**7. Find the third derivative of k(w) wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) -0.08 (c) 0.04 (d) 12\/61 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 97737?\nAnswer: -97737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 35979867.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -g - 0*g - 10, 3*g = 3*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*z - 5188 - 4532 = 11019 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 27305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -4849527?\nAnswer: 4849531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 210\/15 + -13 - -11\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7408 + 7409. Is 1289.1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1 + 8*y**2 + 6*y**2 - 5*y**2 + 0*y**2. Calculate the remainder when c(-3) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -4143?\nAnswer: 4133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 - 10 = 0. Let k = y - 7. What is the units digit of ((63\/k + 2)*34)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12841586*x**3 + x**2 + 1558553*x.\nAnswer: -77049516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 21543?\nAnswer: -21555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3922*d**2 - 3849?\nAnswer: -7844*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -3*g + 5*y - 110470, -y = 2*g - 73656. List the prime factors of g.\nAnswer: 2, 5, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*z, -5*j + 644 = -2*z + 668 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 - m**2 + 6*m**2 + 2*m**2 + 443*m + 372*m.\nAnswer: 2*m**2 + 815*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m + 110. Let f be (-96)\/(-44) - 4\/m. Suppose 0 = -3*l - 5*i + 95, 3*l - 6*i - 140 = -f*i. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g + 21*g - 5*g + 70*g**4 + 122*g**4 wrt g.\nAnswer: 2304*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 - (-9 + 2 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-255)\/390 + (0\/1 - -1). Let d = 1273\/78 + m. Find the common denominator of 13\/108 and d.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 1 (c) -1\/928 (d) 17.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*o**3 - 2\/3 - 2*o - 3\/2*o**2 + 1\/2*o**4 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -74, -0.02, 2\/11, 1?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29994 is divided by 960?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-88))\/(((-30)\/8)\/(222\/(-1480))).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-389129.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1 + 0)\/2. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 5120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 11154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 11*n**2 - 11*n - 15. Let c be v(-10). Let g(z) = z**2 + 4*z - 2. Let x be g(c). Solve -x*j = -5*s - 22, 3*s + 12 = 3*j - 0*s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 10*w. Let f(p) = -70*p. Give f(l(o)).\nAnswer: -700*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 439 + -440.9. What is the closest to -1\/4 in -4, 2\/7, y, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 3*r + 2. Suppose -15 + 5 = 5*y. What is the units digit of z(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-11 - -28) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 2 - (-21187 + 21279).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143458 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -14933984.\nAnswer: 5973593.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) -4\/11 (b) 1\/3 (c) -1.4 (d) -92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -31. Let s be 15\/g + (-6)\/8. Suppose 3*x + 214 = h, h = -s*h + 3*x + 811. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5574991157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/15 (b) -0.2 (c) 145\/18 (d) 0.3 (e) -1 (f) -4 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**12\/((z**17*z*z)\/z)*(z\/(z\/(z**(-4\/5)\/z)))\/z**(-3\/10) assuming z is positive.\nAnswer: z**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, -27, 13 in decreasing order.\nAnswer: 13, 5, -14, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146.2 - 32.8. Let i = s - -178.8. Which is the closest to -1? (a) -1 (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*s = 47*s - 40. Solve 6*f - f - 3*l - 5 = 0, 2*f - s*l - 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1557, 3115, 4673, 6231, 7789, 9347?\nAnswer: 10905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 = 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14405, -27911, -41417, -54923, -68429, -81935?\nAnswer: -95441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3*y + 3 - 15*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + h + h - 5 = 0, 15 = 3*c + h. Suppose -d = -c*o - 0*d + 82, o + d = 20. Solve o - 2 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**3 - 6*y**2 + 3*y - 6. Suppose h = 3*j + 2 - 21, -4*j - 2*h + 12 = 0. Is 9 a factor of k(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -25*b + 2. Let k be c(2). Let l be k\/3 - (0 + -3). Let d = l + 24. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -110\/3*x**3 + 0 + 0*x + 36*x**2 + 2\/3*x**4 = 0.\nAnswer: 0, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - s - 2, s - 14 = -3*w - 4*s. Is w at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 61\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*y**2 - 77*y**2 + 41*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 1.1. Let o = -0.8 + p. Suppose -4*v - 16 = -0*v. What is the nearest to v in 0.3, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 - -461. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 9:51 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 + -70. Suppose 0 = -11*b - 47 + j. What is the nearest to b in -2\/7, -1\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 2:44 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*h - 62 + 19 + 417 + 352 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v + 2 - 1 + 2*v + 0*v. Let u(s) = -2*s**2 - 4*s + 4. What is -5*p(k) + u(k)?\nAnswer: -2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*3\/4)\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooqobtqtot. What is prob of sequence ottt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = v - 17, 2*v - 4 = 0. Suppose 0 = -3*m - 0*m + f. Let z(r) = -3*r**3 + r + m*r**3 + 6*r**2 - 4*r. Determine z(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 11:47 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -6. Let o(h) = -i + h**3 + 0*h**3 - 3*h**2 - 2*h**3 - 2*h. What are the prime factors of o(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*l - 152*l - 147*l)*(-14 + 9 - 8 + (1 - 3 + 3)*(1 - 1 + 2)).\nAnswer: 3025*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/380*(1 - -4). What is the smallest value in k, 0.4, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0, -1\/2, -28.214, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10300*g - 5148*g - 5150*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*l - 2 = 0, l + 12 = 4*g - l. Suppose 0 = 4*b - 3 - g. Suppose -25 = -5*c, u - b*u + 2*c + 427 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + -1391)\/(-6) - -5. Let n = -232 + h. Solve 0 = -2*b - 0*b - n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -826, -1657, -2490, -3325, -4162, -5001, -5842?\n\"Answer: -c**2 - 828*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/40 + 7*f**4\/8 - 49*f**3\/4 - 14*f**2. Let g(x) = 0. Calculate x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-63))\/(905\/(-3801)*24\/10)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6979 divided by 7\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**6\/90 + u**4\/8 + 2*u**3\/3 - 2*u. Let q(z) be the second derivative of b(z). What is the derivative of q(c) wrt c?\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1985357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 3*f + f - 8. Suppose -10*y + 38 = -42. Let t be m(y). Solve 0 = -3*i + i + t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 234?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 224\/240*(-30)\/35\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 65 - 10. Let f(i) = 4*i**2 + 4. Let y(t) = -t**6 - 12*t**2 - 11. Let n(b) = m*f(b) + 4*y(b). Find the third derivative of n(d) wrt d.\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1894 - 1894. Suppose -s - 142 = -3*s. Let j be -2 - ((-286)\/s - -2). Is i equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 2*q**2 + 3*q. Let n(y) = y + 4. Let m be n(-3). Let i(g) = g**3 - g. Let r(s) = m*f(s) + 2*i(s). Determine l, given that r(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 >= -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2. Let a be f(1). Suppose 0 = 2*h + a*h + 400. Does 8 divide (12\/10)\/((-12)\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -352554244 + 6?\nAnswer: -352554235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 7:36 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1365280 and 51520.\nAnswer: 2730560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 1\/3, -4, 1.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, -9, 1\/3, 396 in ascending order.\nAnswer: -9, -0.3, 1\/3, 2, 396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129*b**4*f - 57072*b**4 + 602580468*f wrt b.\nAnswer: 516*b**3*f - 228288*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 28085000 to the nearest 100000.\nAnswer: 28100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 + 57. Suppose -4*s = -4*u - 167996, q*s - 107356 - 18643 = u. Suppose 19*r - 15*r = -s. Round r to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216832 and 1085392?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 33990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 1\/20*b**5 + 1\/10*b**6 + 50 + 0*b**2 - 11\/6*b**4 + 0*b**3 - b. What is the third derivative of q(r) wrt r?\nAnswer: 72*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.425 (b) -3\/548 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1645, -3, -0.1 in increasing order.\nAnswer: -1645, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/4)\/(22\/12))\/(1332\/666).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o - 4*k + 63880 = -22*o, -4*k = -3*o + 47903. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(7 + -11 - (0 - 2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20)*(-1835)\/(-734)*8*19.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*j**2 + 3*j - 14*j**2 + 8*j - 4*j + j + 3*j**3 to p*j + v + m*j**2 + x*j**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 143536677 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*n - 19. Let v(q) = q**3 + 9*q**2 + 8*q. Calculate the remainder when v(-6) is divided by (1 + 3)\/((-4)\/(-238)*n).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229324731 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4710*f**2 - 20*f**3 + 4710*f**2.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w, -u - w = -3*w. Suppose -d = -5*d, -3*x + 5*d = -3. Suppose -2*r = -x - 5. Solve -2*c = -r*k + 5*k + 12, 28 = -5*c - u*k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 54.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f = 3*x - 10, 0 = -4*x - 3*f + 20. Let t(p) = p**3 - 2*p**2 - p - 1. Let c be t(x). Suppose 4 = 3*b - 5. Sort b, c, 0 in decreasing order.\nAnswer: b, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 + -1 - 5 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 161543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Suppose -4*p = p + 20. Let k = -1.13 - -2.13. Which is the nearest to k? (a) 0 (b) p (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/8, 1\/37, -2?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2) - 284\/184. Let l = m + -16\/161. Which is the second smallest value? (a) 0.5 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 6*p**2 - p + 8. Let l be s(-6). Let x be (12\/l)\/(10\/35). Solve 10 = -4*z - 3*t + t, x*z + 7 = -2*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345871.5 millennia to months.\nAnswer: 4150458000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79125 less than 79124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - y - 11 = -3*g, 0 = g - 2*y. Let c(a) = -3*a**2 + 2*a + 4. Let b(m) = -7*m**2 + 5*m + 9. Give g*b(t) + 5*c(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:40 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 3*i - 4*i in the form v + n*i and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 1. Let s be n(-3). Let d = 7 - s. Find the third derivative of -4*k**5 + d*k**5 + 2*k**5 + 2*k**2 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = z. Suppose z*p = -31 + 45. Suppose -p*g = -3 - 18. Solve 0*k = k + 2*b - 9, -4*k + 5*b = g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.583613 less than -12.94?\nAnswer: -9.356387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4443260093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 6002*j + 36043. Give s(6).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55293.\nAnswer: 3, 7, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379572 rounded to the nearest ten thousand?\nAnswer: -1380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 6. What is v in 0*v + 5*v - 4*v - v**l = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16530089 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -101*r - 1707. Determine y(-13).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/30 + (-124)\/(-30). Solve 6 = 5*b + i*o - 5*o, 0 = 5*o + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 0*v = 108 - 150 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*t + 84. Let k = -21 + t. Solve 1 = -v - 4*f, k*v - 5 - 2 = -2*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -273 + 272.5. Which is the second smallest value? (a) 0.46 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**3\/6 + 7*w**2\/2 + 8*w. Let a(h) = -2*h - 70. Let m be a(-29). Let q be m\/9 - (-95)\/15. What is t(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1154 - -1933. Suppose 233 = -3*x + f. Are 181 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - 5*s**4 + 15*s**4 + 3 + 6*s wrt s?\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*z, 3*c = 4*c - 2*z + 60. Let l be -3*4\/((-24)\/c). Are -30 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 103745 and 103744 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 3 (c) -10631\/3 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -20*t**2 + 20750*t + 146236. Give v(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 15*w + 135. Let g be s(-9). Solve 0 = 3*v - g*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 5*c**2 - 8*c + 5. Let d be 2\/((-30)\/(-8) - 4). Let y be (-7)\/28 - 50\/d. Calculate u(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 503525 (base 8) to base 10\nAnswer: 165717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 11:06 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(76)*6 + sqrt(76))\/sqrt(4))**2 - sqrt(19)) + (sqrt(456)\/sqrt(8))\/sqrt(3))*3.\nAnswer: 2793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 20, 3*m + 2*m - 5*p = 10. Let q be 11\/1 + (-1 - (m + 2)). Let n be 24*(2 - q\/8). What is the greatest common divisor of n and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 4*a**2 - 2*a - 1. Let q be h(2). Suppose 0 = -4*i + d + 3, q*i - 2*d - 1 = -d. Solve -1 = z + i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 7, q: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50174 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sccccceeeeecjccscj. What is prob of picking 1 s and 3 c?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 6)*(-2*c + 9 + 6 - 6).\nAnswer: -8*c + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 11:13 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 24737.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grgxymeyxgyeyr. What is prob of sequence gy?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 953.95 - 0.5448.\nAnswer: 953.4052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1376)\/52976 + (-999)\/77?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5336*w**4\/11 + 51530*w**3\/11 + 67130*w**2\/11 - 28740*w\/11 + 864\/11 = 0. What is w?\nAnswer: -8, -2, 3\/92, 9\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.75 - -0.15. Let d = -403\/5272 - 32\/659. What is the second biggest value in 3\/2, d, 1\/4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -10. Let i = -8 - t. Is 3 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p - 5*p + 3*p)*(-56*p + 32 - 32)*(-1 - 2*p + 1) in the form y*p**2 + g*p + r*p**3 + l and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d - -2?\nAnswer: 2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 7473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 31914246 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-46)\/2 - 0)\/(-1). Let k = q - 3. Solve -5*a + a = k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*o - 2*o + 30, o + 4*l = 15. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**2 - 2 - 2 + 2 to s + z*w**2 + c*w and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 7*t - 1. Suppose 5*s = -12 + 32. What is the least common multiple of c(6) and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -3 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*x**3 - 5879 - 3*x**2 - 5*x**2 + x + 5879 - 3*x**4 to the form u*x**4 + v + l*x + c*x**2 + o*x**3 and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h + 37. Let b be f(5). Suppose -2*v = -11 + b. Sort v, 3, 0, -4.\nAnswer: -4, v, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4390\/14487)\/((70\/(-108))\/7)?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/34 and -101\/12.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**2 - 23*x**2 + 40*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 1, j: 1, y: 1, a: 1}. What is prob of sequence nq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*b - 50, -2*b + p = -3*p + 8. Calculate the greatest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from rcccckrynkckknrckcc?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977572366.\nAnswer: 2, 488786183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21264912?\nAnswer: 2, 3, 147673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 1\/27*b**3 + 0*b**4 + 4*b + 0 + 0*b**2 - 1\/90*b**5. Factor y(c).\nAnswer: -2*c*(c - 1)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, -11\/5, -0.1 in decreasing order.\nAnswer: -0.1, -11\/5, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 9*m**2 - 9*m + 8. Let k be j(8). Which is the closest to k? (a) 4 (b) 2\/17 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1214423 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 28 = -8*v + 5*c, 0 = -4*v + 4*c - 112. Let b be v\/(-10) + (-4)\/(-20). Solve -b*l = 20 - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392472084.\nAnswer: 2, 348118021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.241*4587.2\nAnswer: -1105.5152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -3. Suppose -2*v = d*v - 52. What is the remainder when 24 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4, -q - 5*m + 5 = -2*m. Let f(z) = -5*z**q - 1 - 7*z - 5*z + 14*z - z**3. Determine f(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j. Let s(h) be the first derivative of 7*h**2\/2 - 1. Let x be ((-20)\/5 - 1)*(-1)\/1. What is x*w(q) - 6*s(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*(-9 - -10). What is the third smallest value in o, 4\/3, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by 36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -136\/7, 8, -207\/14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416) - (sqrt(416) + -3*sqrt(416))*4)\/(3*sqrt(288))*-1.\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 6*q + q - 20, 3*q + 12 = 0. Let k(s) = -s**3 + 5*s**2 + 9*s - 3. Let j be k(6). Suppose 16*w = j*w. Is w at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1197355 and 214625?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 14*a + 0*a + 1 - 3 - 10*a.\nAnswer: -25*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in -4, 9\/14, 2\/7, 1\/21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20133 (base 5) to base 11.\nAnswer: -a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 + 8 - 5 - 2 - 2*q to u*q**3 + p*q + m*q**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 190098 + -2089562\/11. Let u = 138 - l. Factor -2\/11*i**2 + u*i**3 - 2\/11*i + 2\/11.\nAnswer: 2*(i - 1)**2*(i + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -293*o - 3316. What are the prime factors of m(-112)?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*q - 12 + 342 = 0, 3*s - 198 = -2*q. Let f(v) = 4*v**2 + v + 1. Let a be f(-1). Is s*4*a\/32 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7 less than or equal to -26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.2 and 2.\nAnswer: -42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001820357 to seven decimal places.\nAnswer: 0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5960225 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -348*h + 1745 + 691 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 1.359\nAnswer: -1.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 31\/(-186) - (-1)\/6. Sort -23, c, -1, -5.\nAnswer: -23, -5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w + 1. Suppose 2*a = -11 - w. Do -6 and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2543212 - 655?\nAnswer: -2544200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -o + 342, 14*j - 3*o = 10*j + 366. Calculate the remainder when 6872 is divided by j.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -13*s. Let b(v) be the second derivative of v**4\/6 - 90*v. Determine b(x(r)).\nAnswer: 338*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411730 + 2*d - 411652 + 823357.\nAnswer: 2*d - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 6 = -2*q. What is the third derivative of -14*w**6 - 12*w**2 - q*w**2 + 16*w**2 wrt w?\nAnswer: -1680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 22 = -g. Calculate the remainder when 29 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - p**2 - p + 1. Let q(w) = -2*w**2 - 4*w + 3. Let i(y) = 4*n(y) - q(y). Let x = 2 - 3. Let f be i(x). Solve f*k = -0*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1690 + -1580. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2408709 to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*b + 8 = 0, v - 4*b = 1 + 3. Let n = 55 + -20. Suppose n = v*a + a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/7704805?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1339054 - -1887093. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 3.1. Let s = -0.01 - -0.21. Let k = l + s. What is the third smallest value in 1\/5, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 474586406 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 5. Let v(a) = -4*a + 14. Let u(c) = -14*n(c) - 5*v(c). Let o be u(6). Calculate the greatest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/5, -8707, 9\/2, -2\/5 in decreasing order.\nAnswer: 9\/2, -2\/5, -3\/5, -2, -8707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 4955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 7:49 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-15) + 4153\/(-15))\/(22\/(-528)). Calculate the highest common factor of 160 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 326 - 313. Let a(t) = -t - 3. Let y be a(-3). Suppose y = -2*k - 0 + 102. What is the remainder when k is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136526 and 1703.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o - 2019 + 1018 + 1005 + (4*o - o - o)*(2 - 4 + 0).\nAnswer: 3*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j - 52*j**3 - 2*j**2 + 53*j**3 - 9*j + 8 + 6. Calculate the remainder when 56 is divided by v(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31105, -31196, -31287, -31378?\n\"Answer: -91*w - 31014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -763*y**4 + 427*y**4 + 440*y**4 + (2*y**4 + 4*y**4 - y**4)*(7 - 4 - 4).\nAnswer: 99*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11825, 11814, 11787, 11738, 11661, 11550?\nAnswer: 11399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3*h = 20, h = -4*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let m(t) = -t**3 - t**2 + 2*t - 2. Let f(o) = o**2 - o. Let u(p) = -3*f(p) - m(p). Give u(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 244.99999494 + -245. Round m to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 230*h - 1845. Give i(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26.12 + 41.12. What is the second biggest value in 0.2, n, -2\/65, 1\/23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4 - 0 - (-5 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703301838 - -2?\nAnswer: 703301840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 39) + -1 - 2. What is the common denominator of 9\/20 and (8\/(-12))\/(v\/129)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 128, 183, 228, 257, 264, 243, 188, 93?\n\"Answer: -a**3 + a**2 + 59*a + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 20*q**3 - 4*q**2 + q + 1. Let u be s(3). Suppose x - u = -3*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 15*m**3 + 23*m**2 + 6*m + 1. Let w(b) = 7*b**3 + 11*b**2 + 3*b + 1. Let u(i) = -13*w(i) + 6*z(i). Determine u(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404128.\nAnswer: 2, 11, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1607, 1595, 1599, 1625, 1679, 1767, 1895, 2069?\nAnswer: 2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 84*w + 6. Let u be 32\/12*(-9)\/6 - -5. List the prime factors of y(u).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 12. Suppose -l + j = -20. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -8, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1103 (base 5) to base 4\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8208759 by 3.\nAnswer: -2736253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c. Let l(k) = -k**2 + k + 1. Let o(w) = -4*w**2 + 3*w + 3. Let p(m) = 6*l(m) - 2*o(m). Calculate p(y(t)).\nAnswer: 128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/6*(-3)\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 49*k - 417. Let o be z(11). Which is greater: o or 1\/113?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -10, 1, -19, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbibbbbbnibbiibbib. Give prob of sequence nb.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 17, s: 1}. What is prob of picking 2 g?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*w - 1988 = -127*w + 3222 - 384 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-26)\/((-832)\/48))\/(2\/(-4)). Which is the nearest to 1\/3? (a) 0.5 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j + 9. Let f be t(-7). Suppose -2*q = q - f. Suppose m - 8 = 21. What is the remainder when m is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3253 + -1893. Does 16 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + m + 1. Let y(u) = -7*u**2 + 3*u. Let o(a) = -2*k(a) + y(a). Let v(i) be the first derivative of o(i). What are the prime factors of v(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 748 - 330?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*r + g = -471*r - 2, -3*r - 10 = g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {h: 1, a: 2, f: 8, s: 1, t: 2}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -380 * 0.3262.\nAnswer: -123.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29477836.\nAnswer: 2, 47, 156797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*o = -75726 + 77834. Suppose 0 = a + 5*l + 14, 2*a - 5*l = 15 + 17. Calculate the lowest common multiple of a and o.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -24a75820?\nAnswer: 24a7580a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w - 4. What are the prime factors of p(-9)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 3*x - 10, 5*x + 3*v = -v - 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v\/v**(2\/3)))\/v*v)\/v)\/(v**(-5\/4)\/v))\/(v**0)**34)**(-8) assuming v is positive.\nAnswer: v**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*y = -156*y - 4*d + 26274, 0 = 3*y + d + 15761. Is -5254 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434919354.\nAnswer: 2, 11, 23, 367, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -662 + 936. Suppose -3*x = 37 - b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9960 and 120?\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -194c8?\nAnswer: 194d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1084 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: Solve -1721 + 675 = 52*w + 982 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 3 (b) -48666 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/10 - 7*r**2\/10 + 9*r\/5.\nAnswer: -r*(r - 2)*(r + 9)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 3, d: 2, y: 1, x: 11}. What is prob of sequence xl?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n = 319*n + 608 + 3825 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1587 and 0.0174.\nAnswer: 1587.0174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 14.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3363 - 1064*c - 2257 + 1065*c)*(-4*c**4 - 8*c**3 + 8*c**3) - 3*c**5 - c**5 + 2*c**5.\nAnswer: -6*c**5 + 22480*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -415*t**2 - 288 + 403*t**2 + 94 + 90 + 104.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, 2\/19, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58532.1 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/4416?\nAnswer: -1\/4416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 6. Let y be g(0). Factor -25 - y*d - 6*d + 21 - 9*d**2.\nAnswer: -(3*d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3931?\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3459232577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + -5 + -1 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 6.1. Let n = -5.7 + o. What is the smallest value in -0.4, -3\/5, n?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a9660 (base 14) to base 5.\nAnswer: -340021024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 19471.9 to the nearest 100.\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-72 + 36*w - 25*w - 9*w)*(-2 + 5 - 4) in the form h*w + n and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 0*s - 2*s - s**2 + 5*s - 3. What is x(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.26 - 0.586. Let n = l + -110.674. Which is smaller: n or -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) 1 (c) 27\/8416 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1200 - -1200. Solve 2*s + 2*r + 14 = n, 5*s + 0*s + 4*r + 31 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2697 - 24*r + 1335 + 1472 as x + k*r and give x.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5894\/(-2105)*(-10)\/(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -14, -2\/9, 4, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2. Let c(s) = -273*s**2 - 274. Determine c(q(f)).\nAnswer: -1092*f**4 - 274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4883 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 72*o + 235. Calculate y(-31).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -5, -3, 9, -2 in decreasing order.\nAnswer: 9, -2, -3, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1441 is divided by 150.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, b: 2, t: 2, m: 2, o: 2, v: 2}. Give prob of picking 1 b, 1 l, 1 t, and 1 v.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (108 - (-3 - -78))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170) + -1*sqrt(170))*-4 + sqrt(170) + sqrt(170) + sqrt(170)*-1*4)\/(sqrt(40)\/(sqrt(16)\/sqrt(4))*-3).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3) + -4 + 7 + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.4. Let k = 7 + -3. What is the closest to -1\/2 in 0.1, k, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**5 + 128750*l**4 + 1930260*l**3 + 3473010*l**2 - 31268025*l = 0.\nAnswer: -25735, -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 942309?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -91647.56 + -0.2861982\nAnswer: -91647.8461982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 - -18. Let t be (21 - 24) + -3 + 1 + 13. Let s = t - y. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000063843 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 58240 divided by -4480\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13169373.\nAnswer: 3, 7, 17, 37, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.867 to 1 decimal place.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**4\/3 + 119270*f**3\/3 + 3555975397*f**2\/3 - 7113024260*f + 10670073132 = 0.\nAnswer: -59638, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 u when three letters picked without replacement from {u: 8, x: 5}?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 519213 times -2\nAnswer: -1038426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v - 72. Let h be ((-5)\/3)\/(4\/v). Let x = -6 + 10. Solve 0 = -5*p - 2*k - h + 7, -x = k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 8*j**2 + 4*j - 9. Suppose 0 = -71*u + 184 + 100. Calculate z(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*f + 75 = -0*a, -3*a = -3*f - 75. Suppose 13*p - a = 8*p. Let y(h) = -2*h + 6. What is y(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 3*o + 32 = 0. Let f be o + (1144\/(-65))\/(-3 - -1). Find u such that 11\/5*u**2 + 4\/5 - f*u = 0.\nAnswer: 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 5. Let d(m) = 9*m + 8. Let q(o) = -5*o - 4. Suppose -4*h - 24 = -0*h. Let n(a) = h*d(a) - 11*q(a). Calculate n(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 + 132 = 3*t. Calculate the least common multiple of 16 and t.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, i: 2, b: 1, x: 2, f: 4, t: 1}. What is prob of picking 1 b and 1 t?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112685 - 39129 = -2913*m + 22966 for m.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -174*j**3 + 3*j**2 + 2867*j wrt j?\nAnswer: -1044*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 34944?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 88889*j - 1. Let l(h) = -8*h**3 + h**2 - h - 1. Let c be l(-1). Let p be v(c). Round p to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 9*v**2 + 21*v + 25. Let y be h(-12). Let u = y + -201. Solve -12 = u*f - 7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37812*w - 155*w**3 + w**2 + 37812*w.\nAnswer: -155*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*-6*55\/(-66)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = 3*i + 3*j, -3*i + 0*j = 5*j + 126. Let x = i + 74. Let h(w) = -w**3 + 66*w**2 - 62*w - 184. Calculate the remainder when x is divided by h(65).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/29 (b) -6 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 900.1139 micrometers?\nAnswer: 0.09001139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d. Let w(h) = 101946*h. Determine w(f(o)).\nAnswer: -611676*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166 + 270. Suppose 68 = 4*w - 5*o, 4*o = -0*w - 4*w + n. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6427 - 4384. Let v = 3336 - c. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 16) to base 4.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8445714, -8445722, -8445730?\n\"Answer: -8*h - 8445706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/2 - (35 - 43).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 - 110.1. Let r = 6.3 - 6. Let k = 6 + -3. Which is the nearest to t? (a) 0.5 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5607, 5612, 5621, 5634, 5651, 5672, 5697?\nAnswer: 5726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111100 (base 2) to base 11.\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 587584663?\nAnswer: -587584660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 124728\/(-10394) + ((-212)\/26 - ((-6)\/39 + 0)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 341302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 3. Give w(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 20*s - 9*s)*(-4*s**4 + 5*s**4 + s**4) - 6*s**5 + 35*s**3 - 35*s**3.\nAnswer: -54*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(22\/(-38742)). Let g = d + -1766\/3. What is the third biggest value in 0.03, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*v = -205*v + 408*v - 54 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52724874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 496 - 251 - 244 + 2*z**3 + 794*z**2 + (3*z**2 - 4*z**2 + 0*z**2)*(z + z - 4*z).\nAnswer: 4*z**3 + 794*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 156 = 3*y + y, v - y = 33. Calculate the least common multiple of 40 and v.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**1*m)**(-26)*(m**(-1)\/m)**(-10))\/(m**3\/m**(-2))**(-1\/16) assuming m is positive.\nAnswer: m**(-507\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.9508 nanometers to millimeters.\nAnswer: 0.0000339508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180489 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 392271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 4*u = -4. Suppose -5*t = 5*h - 10 - 10, -3*t + 7 = -u*h. Let b(c) = -3*c**3 - 2*c**2 + c + 2. Let z be b(-1). Sort z, -1, h in decreasing order.\nAnswer: z, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/5)*s*s*s*s*(s**20*s)\/s*s**(-1\/15)*s**(-27)*s assuming s is positive.\nAnswer: s**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - 59\/(-2))*3\/(-7).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.5. Let k = -0.3 + y. Suppose 4*x = x. Which is the second smallest value? (a) k (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(2057))**2 - (-1*sqrt(17)*-1 + 3)) + 5.\nAnswer: -sqrt(17) + 8230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 + 3*m - 24. Suppose -259*i + 203*i + 504 = 0. Give r(i).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 4*y - 2. Let w(q) = q**3 - 41*q**2 - 41*q - 49. Let f be w(42). Give b(f).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 = 84*k + 139 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26662, 53230, 79798, 106366, 132934, 159502?\nAnswer: 186070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1137, -4479, -10061, -17889, -27969?\n\"Answer: -y**3 - 1114*y**2 + 7*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3441773405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x + 14*b - 9*b - 11, -x - 2*b - 1 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91*g - 299?\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 3*z - 18*z + 9*z - 10*z - 5*z - 3 - z + 3 + (1 + 2*z - 1)*(1 - 7 + 2) - 2*z - z + 2*z + 3*z - 3*z + z to b*z + a and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, x: 3, h: 5}. Give prob of sequence hxii.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 787673\/210044 - 2\/52511. Let k = -7\/24 + -3\/8. Put c, k, 2 in increasing order.\nAnswer: k, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 13 = -5*p - z, 4*z = p + 15. Suppose p - 25 = -8*h. Which is the smallest value? (a) h (b) -2\/5 (c) -39\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196230 and 620930.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2396938*0.2\nAnswer: -0.04793876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 112 - 116 = 0. Let c = j - 35. Suppose -154 - 74 = -c*x. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 464625, 1858391, 4181339, 7433469?\n\"Answer: 464591*d**2 - 7*d + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2)*(4*q - 3*q + 2*q - 2*q + 2 - 2 - q + 4*q - q + 0*q + q + q + (4 + 1 - 3)*(q + q + 0*q) + 2*q - 2*q + q) + q - q + 2*q.\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(175))\/sqrt(5))\/(-5*sqrt(5)*1) + 1*sqrt(28) + sqrt(504)\/sqrt(2).\nAnswer: 42*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 1573442*w + 18881592.\nAnswer: -2*(w - 786733)*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*f + 3 = -1, 3*z + 5*f = -10. Suppose z = 4*k - 10 - 10, 3*j + 2*k = -23. Let d be (-18)\/63 + (-471)\/42. Is d greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4293 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/11 (b) 2 (c) 0.3 (d) -135\/2 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195383*j**3 - 172065*j**2.\nAnswer: 1172298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:54 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355 = -2*c - 337. Solve -15*f + 24 = c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvrv when four letters picked without replacement from {v: 2, r: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 68.1281l?\nAnswer: 68128.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 263.\nAnswer: -526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**3 + 46*m**2 + 19*m + 25. Determine u(-15).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 356 = 4*c + 364, 4*q = 4*c - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.825 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 4:23 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 934*r + 112592 - 24496 = -1819*r for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121977 is divided by 557?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 24*b + 11. Let d(n) = -955*n - 6688. Let y be d(-7). Let i(j) = -12*j - 5. What is y*v(c) - 7*i(c)?\nAnswer: 12*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z = 5*z + 10872. Let x = z + 988. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135 (base 6) to base 14\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v - 1. Let o be c(2). Let u(t) = 4*t + 181. Suppose 3*i = -3*w - 111, 4*w - 99 = 2*i + w. Let d be u(i). Is o < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 60, 148, 284, 474, 724, 1040, 1428?\nAnswer: 1894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16567120 divided by -10?\nAnswer: -1656712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1224 - -1230. Solve -10*r + 16 = w*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -573a (base 11) to base 10\nAnswer: -7545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 405975918?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475*a = 353*a + 5056046. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*g - 37*g. Solve a**4 + 1\/2*a**2 + 5\/4*a**3 + 1\/4*a**5 + 0*a + g = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 152*t + 794. Let x be y(5). Suppose -32 = -5*j + 3. Suppose 0 = 5*p + 3*w + 1, -5*p + j = -w. What is the greatest common divisor of x and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/16 in -1\/2, 75600, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v**3 - 171*v**2 + 204*v + 367. Determine q(-58).\nAnswer: -1373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 182053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 8:15 PM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 8:13 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a centimeter in micrometers?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 7*x**2 - 5*x - 11. Let s be a(5). Let r = s + -9. Suppose -r*d - 35 = -190. List the prime factors of d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 20 + -20 + (-1 - -4) + -7 + 31?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -75, 18.2, 5, 16?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 17. Let x be i(-8). Suppose -x*w = -w - 456. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111021 (base 3) to base 7\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4282 - -4281. What is the nearest to 1 in 0.04, 2, x, -3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.9. Let x = 15 - -1. Suppose 4*w = -5*n - x, 5*w + 3 = -3*n + n. Put m, -1\/11, w in ascending order.\nAnswer: m, -1\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152 + -151. Let d(b) = -b - 27. Let q be d(7). Let o = q - -34. Put -2, 5, o, s in descending order.\nAnswer: 5, s, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186876950 by 2875030.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1302 is divided by 93?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 104*t - 19. Let r(n) = 52*n - 10. Let v(j) = 5*r(j) - 3*u(j). Let s be (-3 - 2)*(-6)\/(-5). Is v(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 2 + -3 + (sqrt(153)\/(sqrt(9)*1) - sqrt(17)) + 2*(2 + sqrt(17))**2 + (sqrt(119)*-1 + sqrt(119))\/sqrt(7).\nAnswer: 9*sqrt(17) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 696.9332 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 j, and 1 i when three letters picked without replacement from twjiiiswwspw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 7:33 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*p = 15, i = 5*i + 2*p - 8. What is the nearest to i in -0.1, -2\/3, 5, -2.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13658.868 and 1474?\nAnswer: 15132.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*k - 7. Let c(r) = 2*r + 2*r**k - 13*r**2 + 2 + 6*r**2. Let t(n) = -110*n**2 + 45*n + 45. Let p be (-5 - 8) + 22\/2. What is p*t(d) + 45*c(d)?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 794254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 - -162. Let f = -11 + t. Suppose 96*y + 34*y - 2461 - 269 = 0. What is the remainder when f is divided by y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 - b**4 + b**5)*(-81 + 136 - 92).\nAnswer: -37*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 71 - 586*b**2 - 41.\nAnswer: -586*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70 - 68. Let t(z) be the first derivative of 3\/26*z**4 + 1\/39*z**6 + 3 - 2\/39*z**3 + 0*z**v + 0*z - 6\/65*z**5. Solve t(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 95159, 188191, 281223, 374255?\n\"Answer: 93032*q + 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 14*n**2 - 29*n - 38. Does 15 divide p(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*r - 2*v, 5*v - 62 = -6401031*r + 6401045*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 134 (c) 5 (d) -2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence st when two letters picked without replacement from kmkkkjssktmmkttkkk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 445004 > 445004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 594, 1089, 1570, 2031, 2466, 2869?\nAnswer: 3234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5242*g**2*l**2 - 4*g**2*l - g**2 + 2*g*l**2 + 2*g*l - 3*g wrt l?\nAnswer: 10484*g**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-824)\/(-10))\/(24 - 7518\/315). Solve -628*x + 70 = -u*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 35?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1206 - 4106*v - 2412 + 1206 to the form k*v + j and give k.\nAnswer: -4106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -5.6. Let n = -6 - -5.9. Let l = n + k. What is the second biggest value in l, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + sqrt(50)*-2)*-1)\/(sqrt(20)\/(-1*sqrt(2)) - sqrt(10) - sqrt(10)).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmbbbmmmmmmm. Give prob of sequence bbb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19242 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -6) + 48 - 47\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 r, and 1 t when four letters picked without replacement from rrrrlllrtllttrrlr?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147 - 142. Suppose 2*o - 850 = -4*t, a*t + 0*o - 1067 = -4*o. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-5))\/l**(-1)*l*l**(1\/2)*l*(l**(-2)\/l)\/l*l*((l*l**0)\/(l**0*l))\/(l**(2\/3))**(-27\/2) assuming l is positive.\nAnswer: l**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363*t**3 - 990*t**2 + 576*t - 96.\nAnswer: 3*(t - 2)*(11*t - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.3 (b) 0.2 (c) -4 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**11\/(y\/y**(-1)*y)*(y**(-5\/2)*y)\/y**6)**32 assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111000000111001 + 1001?\nAnswer: -101111000000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/3*(-6)\/(-4). Suppose 3*b - 27 = -x*w, 5*b + w - 28 = -0. Suppose -b*j = -4*j - 2. Solve j*l - 4 = -2*c, c = -3*l + 4*l + 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3)*(-54)\/36. Solve 5*i + l + 4 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041491903.\nAnswer: 31, 33596513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o + 84 = 0. Let v = 1847 + -1448. Calculate the highest common factor of v and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a factor of 273255756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23009, 46020, 69031, 92042, 115053, 138064?\n\"Answer: 23011*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 4:46 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2979 or -11919\/4?\nAnswer: -11919\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -2220.84?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 9*b - 423, 0 = -3136*h + 3142*h + 5*b - 222 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 7*b - 10 = 9*b, -4*b + 15 = -3*y. Let t = 1681 - 10045\/6. Let j = -22\/3 + t. What is the smallest value in j, y, 11, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 1 - 5. Let s = 107 - 90. Let u = s - l. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 179 = r, 4*b - 515 = r - 154. Calculate the least common multiple of b\/27*(-6)\/(-4) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19\/3 - 263\/42. Suppose -9*p + 3694 = 2*p + 3683. Which is smaller: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 0.038?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 29*f - 120. Let q = 6 + -3. Suppose q*c + 3*h - 3 = 0, c = -2*h - 8 + 4. Calculate the greatest common divisor of f and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26)\/((11\/55)\/((-8)\/(-10))). Is 12282\/14 - i\/(-364) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**11*q\/q**0)\/(q\/q**(-5)*q)**(-48) assuming q is positive.\nAnswer: q**349","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001709 to six decimal places.\nAnswer: 0.000171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -j - 21, -j = -6*j - 3*i - 37. Let s(n) = 2*n + 3. Suppose 2*p - 13 = 7. Let h = p - 12. Let m(y) = -y - 1. What is h*s(x) + j*m(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2178) + (-1 + sqrt(2178))*-6 - (sqrt(2178) + ((sqrt(2178) - -5*(2 + sqrt(2178)))**2 - sqrt(2178)))).\nAnswer: 4125*sqrt(2) + 78502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -114682, -114714, -114746, -114778?\n\"Answer: -32*p - 114650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20231 (base 6) in base 8?\nAnswer: 5173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**4\/5 + 6846*o**3\/5 - 123447*o**2\/5 + 720524*o\/5 - 1345344\/5 = 0.\nAnswer: -6864, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1123022 (base 4) to base 8\nAnswer: 13312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 x, and 1 u when four letters picked without replacement from {u: 4, z: 7, x: 6}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d. Suppose -5*g + 120 - 5 = d. Is 23 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -6621656.\nAnswer: -3\/6621656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -105, -241, -389, -549?\n\"Answer: -6*o**2 - 118*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-17)*j**(-4)*j*j assuming j is positive.\nAnswer: j**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211 - 217. Let f(l) = -36*l + 17. Let b(j) = 6*j - 3. Give s*f(h) - 34*b(h).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/11 (b) 104337 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009188 to five dps.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -201 - 147. Let c(q) = -18*q + 4. Let g be c(7). Let u = h - g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57*x**2 + 110*x + 58*x**2 - 66 + 1 - 91 - 12 wrt x.\nAnswer: 2*x + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48420 is divided by 1463.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**3\/6 + 7*d**2\/2 + d. Let t be r(-5). What is the greatest common divisor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6 + 183\/(-9). Let s be 3\/((-2)\/i*2). Solve 4*d = -d + s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 7540?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, -5, 0.92?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34.2 + -38. Let w = u + 0.8. What is the third biggest value in w, -0.4, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 337 by -1535.\nAnswer: -337\/1535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 5:37 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186 and 1620?\nAnswer: 50220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 1658 = 542. Which is smaller: h or -188?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*h - 1575 = -148*h + 285*h for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 255738060 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 800524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4045 is divided by 989.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 780 and 840.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2437966 and 3?\nAnswer: 7313898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k + 9*k - k**2 - 9 + 3. Let d be f(5). Let o(l) = 2*l**2 + 8*l + 1. Is o(d) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.6 + 2.8. Let s = 1.2012 - k. What is s rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 846114.1?\nAnswer: 846114.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 3*j + 5*j - 3 + 3.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + 0*m - 2*m)*(-257*m - 1167*m - 485*m).\nAnswer: -5727*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -122770 to the nearest 1000.\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 19*t**2 + 6*t + 11*t**2 - 12 - 25*t**2. Let r(k) be the second derivative of -k**4\/12 - k**3\/6 + k**2\/2 + k. Let c(d) = -6*r(d) - w(d). What is c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -594745700 divided by 299620\nAnswer: -1985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7 - 1 = 0. Suppose -5*i + 19 = -p*d, d = 3*i - 4*d. Suppose i*a - 3*a = 8. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*f + 627 + 268 = 1635 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14355983 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqu when three letters picked without replacement from {q: 4, r: 1, u: 2, s: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (588\/(-6))\/(106\/53).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -46, 0.0544, -3?\nAnswer: 0.0544","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k - 23. Calculate the remainder when 86 is divided by a(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**7\/120 + a**6\/36 - 17*a**4\/12 - 42*a. Let g(m) be the third derivative of k(m). Find the second derivative of g(c) wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 - 17. Let u(o) = 5*o**2 + 3. Let k be u(6). Let y = k + -115. Calculate the remainder when y is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*y - 9706 = -26082 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 3 + 1. Let i = -1.4 - -1.2. Let p = i + -0.2. Which is the second biggest value? (a) 1\/4 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111212301 + -3?\nAnswer: -111212310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11172?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(12)\/sqrt(4)) + sqrt(50))\/(1*sqrt(250)).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -632, -2328, -5628, -11066, -19176, -30492?\nAnswer: -45548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 32*x**2 + 6 - 6 - 54*x**2. Let i(o) = 17*o**2 - 15*o**2 - o**2. What is j(i(d))?\nAnswer: -22*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, -0.2, -33, 1\/45, 1?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**(-1\/14)\/(b**6\/b**(-3\/2)))\/(b**4*b**(4\/5))**28 assuming b is positive.\nAnswer: b**(-19861\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/9? (a) 1 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*y + 166 = 13, -o + 43 = -4*y. Let u = 60 - o. Put 4, -0.1, 1\/2, u in descending order.\nAnswer: u, 4, 1\/2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + (10 - 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**2 - 4*v - v**3 - 2\/3*v**4 + 0. Factor s(c).\nAnswer: -2*(c + 1)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15*h**3 + 85. Let s(m) = -m**3 - 6. Determine 6*r(j) + 85*s(j).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**3 + 7*x**3 + 9*x**3 - 2*x**3 + 2*x**3 + x**3 + 0*x + 0*x - 2*x**3 + (4 + 2*x**3 - 4)*(-4 + 1 + 1) - x**3 + 0*x**3 + 0*x**3 - 1 - 3*x**3 + 2 + 0.\nAnswer: x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -69 + 4*1. Let d = -45 - m. What is the highest common factor of d and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627493 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9, -80, -263, -612, -1181?\n\"Answer: -9*b**3 - 2*b**2 - 2*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u - 38 = -25*u - 3*l, 2*l = -24*u + 68 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 475200 to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2760456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -453 (c) -23\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 21*l**2 - 89*l - 2371. Calculate i(-17).\nAnswer: -2014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2887313, -2887312, -2887311, -2887310?\n\"Answer: g - 2887314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = -x + 16*x. Solve -2*s - 1 = -x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/7 of a week in minutes?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 252814 rounded to the nearest one thousand?\nAnswer: 253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v - 5. Let g(f) = 2 - 3 - 2 - 11*f + 7*f. Give -5*g(l) + 3*u(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - (-4 + -4)) + (0 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18*(-1)\/8)\/(9\/(-36)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 217. Is h(28) a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + sqrt(300)*-1*-2.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + 4*a - a - a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 17, 7, -50 in increasing order.\nAnswer: -50, -4, -1, 7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l - 35. Calculate p(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -243, -282, -319, -354?\n\"Answer: k**2 - 42*k - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -595 = -60*z + 123*z - 46*z. Sort -5, 5, -1, z in ascending order.\nAnswer: z, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-27)\/9)\/(-21)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -133*n - 72. Let u(q) = 265*q + 173. Calculate -5*r(a) - 2*u(a).\nAnswer: 135*a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 9*m + 7. Let j(s) = 2*s**3 + 2*s. Let q be j(0). Suppose q = 4*y - 55 + 87. Determine c(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 1:37 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m - 4*d + 12, 3*d = 12. Let q be (-4 - -2) + 1\/1. Suppose 11 + 13 = 4*o + 4*s, 0 = -5*o + 5*s. Sort 2, o, m, q in descending order.\nAnswer: o, 2, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**3 + 11*c**2 + 23*c. Let v(w) = w**3 + 4*w**2 + 8*w. Let h(s) = -4*a(s) + 11*v(s). What is the second derivative of h(k) wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 17. Let x(p) = -p**2 - 16*p + 21. Let w be x(d). Sort 0.3, 3, w, 0.4.\nAnswer: 0.3, 0.4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -856*c*f*t**2 - 10*c*t - f*t**2 + 95*f*t - 6*t**2 wrt c?\nAnswer: -856*f*t**2 - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 116\/10 - 2\/(-5). What is the greatest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -42*a - 840. Let r be g(-20). Solve 4*m - 27 = 3*w, -4*w + 13*m - 9*m - 32 = r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -14*k + 4. Let q(y) = 39*y - 7. Let h(a) = -196*a + 36. Let x(i) = -3*h(i) - 14*q(i). Let u(j) = 14*g(j) + 5*x(j). What is the units digit of u(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - j**2 - 5*j - 16. Let m be k(-3). Suppose 22*x - 1115 = m*x. What is the remainder when x is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7978260778 and 3?\nAnswer: 7978260775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1094*n + 636*n + 287*n - 370*n + 492*n in the form v*n + s and give v.\nAnswer: 2139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020221101212020 + 10?\nAnswer: 1020221101212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503 is divided by 170.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a + 7*a + 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:20 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6.3 or -672?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 483841.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3))**4\/((u\/((u*u*u**2*u)\/u))\/((u\/(u**(-4\/7)\/u))\/u*u)) assuming u is positive.\nAnswer: u**(173\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i + 177. Is u(39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - x**3 - 9 + 2*x**2 - 11 to the form o + w*x + b*x**3 + a*x**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**3 - 57*w**2\/2 - 33*w\/2 + 6 = 0. Calculate w.\nAnswer: -4, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 41067*o**5 + 876798*o**4 + 4404546*o**3 - 3807060*o**2 - 9182125*o - 1806250 = 0.\nAnswer: -425\/39, -1, -2\/9, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 370 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 887364640?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 10\/11, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7933721123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose r = q - 77. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8058\/15 - -3 - (-11)\/(-55). Suppose -c + 6*c = 4*c. Suppose 4*d + 5*d - m = c. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4399 is divided by 142.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w**2 + 0*w)*(4296 - 2339 - 4116).\nAnswer: 2159*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(1573) + -1)*-1)**2 + (sqrt(1573) + 0)**2 + -5) + (sqrt(1872) + sqrt(1872) + 0 + 0 - ((-2 + 3 + sqrt(1872))**2 - sqrt(1872))).\nAnswer: -76*sqrt(13) + 10695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1588042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 288 - 288.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6849 is divided by 3423.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1759 + -789. Does 3 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 48*w**2 - 105*w + 18. Calculate k(26).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -4*v - 4*r, -r + 26 = v - 2*r. Let h = v + -13. Suppose w = -3*w - 4*x + h, 4*w - 5*x = 17. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 - 1110 = 30*c - 195. Which is smaller: 153 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 256 (base 7) to base 5\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*((z*z*z*z*z\/z**(1\/3))\/z)\/z)\/z**3*(z\/(z**(-1\/2)\/z))**14)\/((z\/z**(6\/11))\/(z**(-6)\/z*z)*(z*z*z**(-2\/5))**(-3\/4)) assuming z is positive.\nAnswer: z**(5183\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -51178864 divided by 12794716\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*m + 102*m - 27*m - 777 - 27*m - 14*m to v*m + k and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/6 - 4*s**4\/3 + s**3\/2 + 46*s**2\/3 - 56*s\/3 - 32.\nAnswer: (s - 4)**3*(s + 1)*(s + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -1. Let m(s) = -s**3 - 4*s**2 + 6*s - 4. Determine m(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4131173.000216 - -4131157. Let y = -16 - h. What is y rounded to 5 dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9085, -18166, -27245, -36322, -45397, -54470, -63541?\nAnswer: -72610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -914*g. Let u(d) = -2*d + 10077. Give u(z(m)).\nAnswer: 1828*m + 10077","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1036, 1\/1093, -0.3?\nAnswer: 1\/1093","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 1. Let i be (16\/2 - 4) + 2. Let z(d) = -4*d + 18. Let f be z(i). Let q(r) = -7*r + 4. Suppose 1 + 2 = 3*o. Determine f*c(s) + o*q(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5 = 5*r, 12*y = 2*r + 11*y + 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/43, -4\/9, 2.6, -0.5?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) + (-2944)\/(-10). Let n be 0\/(-2) - i\/8. Let s = n + 37. Put -1\/12, s, -0.2 in decreasing order.\nAnswer: s, -1\/12, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 254, -3 in decreasing order.\nAnswer: 254, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 343*n - 343*n + n**2 + n**2. Let a(j) = -j + 100. Determine x(a(s)).\nAnswer: 2*s**2 - 400*s + 20000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (-120)\/(-30) + -25?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppltnngslsns. Give prob of picking 1 l and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3405671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from ynnnnnnrrynnnnnq?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18825096 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -4 + -5 + 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -131*l**4\/4 - 10*l**3\/3 + 2792*l - 6635. Find the first derivative of j(a) wrt a.\nAnswer: -393*a**2 - 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 3741442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -749*k - 3705. Let x be u(-5). Put -3, -5, x, 61 in descending order.\nAnswer: 61, x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 - 65 - 3*x - 76.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**2 + 8218*y - 214658 with respect to y.\nAnswer: -4*y + 8218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 4:13 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*s + 1 = -28, -s - 5 = 0. Suppose 3*h - 4*m = 505, 672 = 4*h - w*m - 2*m. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/101684 and 163\/2135364.\nAnswer: 2135364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.065376\nAnswer: 0.065376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*k*l*m**2 + 11*k*l*m - 7*k*l + 3599*k*m**2 - 201*k*m + 29*l*m - 8*m**2 wrt m?\nAnswer: -40*k*l + 7198*k - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duuuldu. What is prob of picking 2 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 4*q**2 - 4*q. Let o(u) = 3*u**3 + 5*u**2 - u. Let x(h) = 35*h**3 + 120*h**2 + 30*h. Let i(s) = 15*o(s) - x(s). What is 4*i(y) - 45*j(y)?\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 2, j: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1120 - -2?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 = 2*y - 14, -3 = y - f. Let m be 1\/(-3) + y\/6. Let d(w) = -w**2 - w + 5. List the prime factors of d(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-7))**23\/(x**(-4)*x*x\/(x\/((x**14\/x)\/x)*x)) assuming x is positive.\nAnswer: x**199","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (4 - (-3 + (-1 - -12))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1497, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-23\/3))\/t)\/t)\/(t\/(t*t*((t\/((t\/(t\/t**30))\/t))\/t)\/t)) assuming t is positive.\nAnswer: t**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**2 + 2*f - 3. Calculate the remainder when h(3) is divided by 12 - (2 + 0 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -6) + 198 + -195. Solve -3*a + z - t = 0, z - 10 = -0*a + 4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1*(3 - 0). Suppose 0 = c*x + x. Suppose -4*j + 2*j + 108 = x. Is j a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -149, -211, -273, -335?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2*t = 3*h + 13, -5 = -2*t - 5*h - 16 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -181, -312, -461, -628, -813?\n\"Answer: -9*r**2 - 104*r - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*d - 28014 = 28*d. Suppose -21 = -0*m - 3*m. Find the common denominator of 2\/m + 11845\/d and 19\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.9576 millennia to centuries.\nAnswer: 1739.576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 265 divide 363791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u + 22. Determine v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2 - 7*b + 9. Let l(f) = 4*f**2 + 15*f - 19. What is -9*g(i) - 4*l(i)?\nAnswer: 2*i**2 + 3*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -2, 3, -5, 0, 7032 in increasing order.\nAnswer: -5, -2, 0, 3, 22, 7032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -5, -0.004?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 5*q + 11. Let f(r) = 2*r**2 + 6*r + 12. Let y(j) = 2*f(j) - 3*p(j). Suppose -u - 10*u = -77. Is y(u) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of (-4)\/(-5 + (-652)\/(-132))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 6, e: 3, b: 1, r: 2, m: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-343)\/7203)\/(1\/(-18))*15\/9?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 350040365?\nAnswer: 350040402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/9 - 8474*v**2\/9 + 290242*v\/9 - 264802\/3 = 0. What is v?\nAnswer: -4271, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023 take away 329381109671?\nAnswer: -329381109671.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 13*v + 5. Let f be r(1). Let t = -26 + f. Suppose 0 = 3*w + 2 + 4. Sort t, -3, 1, w in descending order.\nAnswer: 1, w, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2124420000 rounded to the nearest one million?\nAnswer: -2124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5390629 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247115 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-205 - -224) + 18 + -3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/(-66)*(0 - 0). Let d(w) = 2*w + 26. Calculate d(y).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34915233293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3865 + 3870. Solve -8 = -v*c + 4*i, -2*c - 14*i = -13*i + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.094 times -3\nAnswer: 0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (-22 - -17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3*a = -6, 3*m - 2*a = -6*a - 2. Let x be -3*(0 + (-10)\/m). Let n = 247.9 + -248. What is the biggest value in x, 3\/8, n?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(115\/(-207))\/(5\/3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t + 35. Let d be m(-5). Let u be d\/(28\/(-48) + 1). Calculate the highest common factor of u and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -2*a**3\/3 - 14. Let r(y) be the third derivative of -y**4\/8 - y**2. Calculate d(r(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/119 (c) 1 (d) 0 (e) 14 (f) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 329 and 329 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(n - 1 + 1) + 13*n + 12 - 23*n + 5*n to k*n + s and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/20 and 59\/256.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 19*w**2 - 16*w - 36. Let f be y(18). Solve -3*x = 3*s + 2 - 17, f = -s + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 6*v - 4. Let h(c) = -1. Let y(n) = 3*h(n) - s(n). Suppose 4*t - o - 3*o - 36 = 0, t - 4*o = 21. Calculate y(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -501803\/17 or -29517?\nAnswer: -501803\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -35. Let m be (-2)\/(-6) - (-89)\/3. Let a = x + m. Solve -2*y - a = 4*b, y - 20 - 4 = 5*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1550077, -3100239, -4650403, -6200569?\n\"Answer: -m**2 - 1550159*m + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrz when three letters picked without replacement from wlzzllwzrl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33352445839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**17*g)\/g**(-2\/55)*(g**(5\/2)*g)\/g**13 assuming g is positive.\nAnswer: g**(939\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.72 - 1075.72. Let l = -1074.999493 - s. Round l to 5 decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.014969322?\nAnswer: -0.0044907966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-7539)\/(-7)) + -4. Let g = u + 1815. List the prime factors of g.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5\/4 + q**4 - 3*q**3 - 16*q**2 - 16*q = 0.\nAnswer: -4, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = 10. Suppose -2*v - 24 = -i, -3*v - v - w*i = 64. Let j = 22 + v. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/101898 - 550045415\/1120878. Let j = p - -489. Calculate the common denominator of j and -42\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/137 + -691\/411. Let t = 4.8 + -4.6. What is the third smallest value in 1\/6, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 7*f = 6*f - 4, -2*f - 23 = 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = x + 5. Suppose 0 = -x*i + 15*i + 25. Let g(h) = h**3 - 3*h**2 + 3*h - 10. List the prime factors of g(i).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 15*v**3 + 4*v - 3. Let s be x(2). Let y(m) = m**3 + 4*m**2 - 7*m - 4. Let f be y(-5). Suppose f*t - s = t. Solve -6*n - t = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + (-1 - (-11 + -8)). Factor o*r**2 + 20062*r**3 + 6 - 20064*r**3 - 18*r + 2.\nAnswer: -2*(r - 4)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1455091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**4\/12 - 19*h**3\/6 + 6*h**2. Let o be b(-8). Let q = o + 57. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 28 = 18*m. Let n(w) = -w**2 - 7*w - 7. Let y be n(m). Suppose -3*p - 4*u + 5139 = 0, -4*u - u + 8570 = y*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gijjiizrizqizjziqi. Give prob of picking 1 j and 1 z.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 0 + 1 - 5. Let y be u(9). What is the second derivative of 0*n**5 + n - 2*n**y + n wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5, 73 = x + 2*x - 5*i. Suppose 2*v = -3*m - x, -3*m + v = -0*m + 1. Let o(u) = -u**2 + 2*u + 3. Calculate o(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f + f**2 - 2*f - f**4 - f - 6*f**3 to a*f + r + k*f**4 + t*f**3 + g*f**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-27)*(-4 + (-190)\/(-55)).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8397*i. Let v(l) = 8*l**2. Determine v(u(b)).\nAnswer: 564076872*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s - 2244 = -203*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/(-18))\/(2\/4). Let c(d) = 7*d**3 + d**2 + d - 1. What is the lowest common multiple of 3 and c(w)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3*j + 3 - 9)*(-20*j**2 + 12*j**2 + 19*j**2 + 6).\nAnswer: 33*j**3 + 11*j**2 + 18*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 16*s**3 - 30*s**2 - 41*s - 64. Let y(d) = 3*d**3 - 6*d**2 - 8*d - 13. Let p(o) = -2*u(o) + 11*y(o). What is p(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from mxwxgmxmgxmxmxmmmm.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 47674551 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1515 + 2947. Suppose 1163 = 4*x + 5*j, 15*x + m = 20*x - j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2 + 11*w + 4. What is m(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013249 to 7 decimal places.\nAnswer: 0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.13. Which is greater: h or -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 1. Factor g**3 - 5 + 4 - 1 - 4*g**2 + t*g.\nAnswer: (g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2 - 3) + -5)\/(-2). Solve -6*z + 2*z + 4*b - 16 = 0, j*z + 12 = 3*b for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.03443 litres to millilitres.\nAnswer: 34034.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/((-2)\/(-6) + 0 - 1). Let g be 1\/(-2)*(39 + 1). Let b = k + g. Solve -s = s + b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32\/(-72) - (-23583)\/27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, -4\/7, -3, 3, -0.19, -1\/3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 8*s**2 - 20*s - 20. Suppose -u - 3 = 6. What is the remainder when q(u) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000709034 to six decimal places.\nAnswer: 0.000709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15169 + -8712. What are the prime factors of x?\nAnswer: 11, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 4868*c - 490691. Give g(-103).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1\/11 (c) 2\/9 (d) -53 (e) -1 (f) 10\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1960 and 6811?\nAnswer: 272440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*d - 6 - 2 + 43, 0 = -5*j + 3*d + 60 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3 + (sqrt(1539) - (sqrt(1539) + (sqrt(1539)*1 - sqrt(1539))*-2) - (-3 + sqrt(1539))*4) + 3))**2.\nAnswer: -864*sqrt(19) + 24768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 24. Let g be q\/2 + 4\/1. Find the second derivative of b - 12*b + 6*b**4 + g*b wrt b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 10 + 40. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 5*x + 3*x)*(-103882983*x**2 + 707*x + 67*x + 103882998*x**2).\nAnswer: -15*x**3 - 774*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11307 is divided by 435?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 + 189 - 60 - 2*r**2 + r - 97 + (1 - r - 1)*(-3*r**2 - r**2 + r**2).\nAnswer: 5*r**3 - 2*r**2 + r + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.06, -30, 2\/11, -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8)\/32)\/((-3)\/1140) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*p + 10. What is the greatest common divisor of 112 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 - 2143214?\nAnswer: -2143304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = 2*p + 32, -5*u + 130 = 5*p. What is the remainder when 39 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -201 and 14.529.\nAnswer: -186.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 404471 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011000011001010 - 101?\nAnswer: 100011000011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y**3 + 28*y**2 + 2*y - 9. Let a be p(-4). Calculate the highest common factor of 141 and a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -232, 0.05, -35, 0.4, 5, 0.071, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**4\/3 + 4*t. Let b(i) = 1 - 2*i - 1. Determine p(b(g)).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from {n: 1, p: 1, k: 1, q: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 341440 and 388.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 28 = 2*o. Suppose -w = 2*y + o, -3*w + 1 - 39 = 5*y. Is (w*1)\/2 + 40 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*s + 3*s + 55 = 0, -k + 3*s + 55 = 0. Let y be -2*(k\/(-10) + 3). What is the greatest common divisor of 45 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -67, -528, -1401, -2692, -4407, -6552?\n\"Answer: -d**3 - 200*d**2 + 146*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmzmmhmmmhmgz. What is prob of sequence hg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82051447.\nAnswer: 113, 587, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6) - 2\/(-12). Is f != -0.12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8710099.02 nanoseconds to weeks.\nAnswer: 0.00000001440161875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 16*f**2 - 43*f + 77. What is x(-19)?\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8 = 2*p, -2*z + 2 = 2*p + 4. Let d be 1*p\/4*-34. Let j = 149\/4 + -37. Is d at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9*q**(-4\/9))\/(q\/(q*q\/(q\/q**(1\/18)*q))*q\/q**(-7\/6)) assuming q is positive.\nAnswer: q**(49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + -5 + 0 + 5 + 19556. Suppose 41*a = w + 27107. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.004 - -0.204. Let o = m + 37. What is the nearest to 0.04 in -0.2, o, 3\/8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 47*j - 206 = 0, -30318*j = -5*s - 30319*j + 62 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 116 in -2\/13, -4, 1\/4, -155, -1\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/8*m**2 - 9\/4*m + 3\/8*m**3 + 3.\nAnswer: 3*(m - 4)*(m - 1)*(m + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, b: 2}. Give prob of picking 2 b and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 40 = -2*i. Is ((-5965)\/i)\/1*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -36. Suppose k*a - 14 = 6*a. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aba - 3?\nAnswer: -abd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1511 = 12*p + 1547 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 - n + 2. Let x(t) = -105*t**2 + 25085*t - 31400230. Let l(r) = -25*f(r) - x(r). Let l(o) = 0. Calculate o.\nAnswer: 2506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-3))\/(2\/3). Suppose l*y - 27 + 7 = 0. What is the least common multiple of y and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5025 rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-16)*-5 - 1\/(-4). Suppose c - r = -0*c. Calculate the greatest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/5 + 879*h**4\/5 - 198747*h**3\/5 + 2437357*h**2\/5 = 0 for h.\nAnswer: 0, 13, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 18) + (-73 - (-66 - 47))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1524 - 1522. Solve -2*h + d - a = 0, -5*d + 23 = h + 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56 - 2*2\/(-4). Let q = t - 51. Solve -5*k - n + 4*n = 11, -q = 2*n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**4 - 3*a**4 - 2*a**4 + (13 - 13 + a**3 - 3*a**2)*(4*a - 3*a - 2*a).\nAnswer: -2*a**4 + 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 166345 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 - -98. Let a = -22 - j. Calculate the remainder when 53 is divided by a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(24)\/(2*sqrt(2))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 - 10\/6. Let a be (-4)\/s - (-5 + 16). Is (-2099)\/a + (-2)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63.9 + -64. Suppose 0 = -p - 2*l + 8, 59*p = 55*p - 2*l - 4. Which is the smallest value? (a) 16 (b) p (c) z (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/25, -0.3, 0.2, -5?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 1 + 0 - 7 - 4. Let b be s(-14). What is the second derivative of -21*j**2 + 7*j**2 + 8*j**b - 7*j wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 d when three letters picked without replacement from funydmu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/15 - 12\/(-5). Suppose 2*q + 19 = 3*j + 285, -268 = -m*q + 4*j. What are the prime factors of q?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(605)*-4 + 4 + -4 + (sqrt(605)*4 - sqrt(605) - sqrt(605)))*-6)**2.\nAnswer: -264*sqrt(5) + 87121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/9 + 22700*s**3\/9 + 64683074*s**2\/9 + 514200400*s\/3 + 1026226208.\nAnswer: 2*(s + 12)**2*(s + 5663)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k - 11. Let s(p) = -28*p + 34. Let w(f) = 2*s(f) + 7*y(f). Let d(r) = -3*r + 4. What is 5*d(c) + 2*w(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-41)\/4 + 18\/72. Let d(m) = -2*m + 2. Let o be d(-4). Let k = b + o. Solve h + 2 = -k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**7\/210 + b**6\/90 + b**5\/30 - b**4\/6 + 8*b**3\/3 + 13*b**2. Let t(j) be the first derivative of h(j). Factor t(z).\nAnswer: -4*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*5 - ((-24)\/13)\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -30, -52, -80, -120, -178, -260, -372, -520?\n\"Answer: -k**3 + 3*k**2 - 24*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 34200 divided by 10009\nAnswer: 34200\/10009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1952887 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 5 + 0*t**2 - 1 - 3*t. Let z be i(-5). Let j(b) = b**3 + 6*b**2 + b - 2. Calculate j(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 5:13 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 2*j. Let l be v(-2). What is the first derivative of 4 - 6*g - 3 + 4*g + l*g wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 55*q + 10. Determine v(-28).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/10 + (-12)\/(-20). Let n(k) = -3*k**2 + 5. Let g(m) = -m**2 - 9*m - 3. Let o(s) = -4*s - 2. Let d(q) = 4*g(q) - 9*o(q). Calculate y*d(b) - 6*n(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 101 = -6*o + o, -45 = -2*j - 3*o. Suppose -3*t + 15*t = j. Let w be 1 + (2 - 8)*-2. Solve -t*c = -3 + w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, m: 1, o: 3, q: 1}. Give prob of sequence moqi.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31.6 + 32. Let b = 1 + -0.94. Sort -0.2, b, x in decreasing order.\nAnswer: x, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 49*i. Let m(w) be the third derivative of 33*w**4\/8 - 261*w**2 - 1. Calculate 6*m(s) - 13*n(s).\nAnswer: -43*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012624 to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 - 2*f**2 + 151 - 34*f - 157 to the form h + g*f**2 + a*f and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 994 = -5*t + 76*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 807654?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 - 92*a\/5 - 36.\nAnswer: -(a + 2)*(a + 90)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*l = -246*l + 371 + 554. Solve 0 = -0*k + 2*k, l*f - 4*k - 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2, 4*r - 2*h = 7388 + 7108. Let a = -2129 + r. What is the hundreds digit of a\/6*2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 5820\/180)*6\/10\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 67569, 135154, 202775, 270450, 338197, 406034, 473979, 542050?\n\"Answer: 3*w**3 + 67564*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7758 = 2*q - 0*q. Let m = q + 6601. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 4, -3, 1.88 in descending order.\nAnswer: 4, 1.88, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 916064, 1832128, 2748192, 3664256?\n\"Answer: 916064*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 7)*(3*x + 0 + 0) - x - 2*x + 2*x to d + a*x and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 5, u: 2, v: 3}. Give prob of sequence uul.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 19*s - 18. Let g be m(1). What is the nearest to g in 2\/7, 2, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 11*g**2 - 7*g**2 + 7.\nAnswer: 11*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - -12) + -14 - (-10 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 6*x**2 - 15*x + 13. Suppose -12 = -2*g + 12. Calculate the smallest common multiple of k(8) and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21237970 + -0.02.\nAnswer: 21237969.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**3 - 2*r**2 - 3. Let g = -10 + 14. Let b be q(g). Suppose 8*t - b = 3*t - 5*i, -3*t - i + 163 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4 - 2) + -21)*(-15)\/9. Let y(p) = -s*p**2 - p + 12*p**2 + 18*p**2 + 10 + p**3 + 23*p**2. Determine y(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5582021 divided by 3?\nAnswer: -5582021\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 66, 96, 126?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4770 = -0*y + 15*y. What are the prime factors of y?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 45752.32 millilitres?\nAnswer: 45.75232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659512643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*d - 61432, 292*p - 290*p = -d + 122920. List the prime factors of p.\nAnswer: 2, 3, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164196238 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2432, -6772, -14008, -24140, -37168?\n\"Answer: -1448*p**2 + 4*p - 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**0*k)\/(k*k**(2\/3))*(k**2)**(-11) assuming k is positive.\nAnswer: k**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -3 - (2 + -9)) + -73 + 69 + 2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-1)*30\/(-36). Suppose -p + 25 = 4*f. Suppose 24 = -t + f*t. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220131.0071731341 - -18.7071991341. Let a = 220111 + q. Let z = a - -1.3. Round z to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336 + 296 + (2 - -36) - (0 + -120)\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528016 is divided by 2456?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -5, -0.0083, -4, 14\/1125?\nAnswer: 14\/1125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 454 = 4*y, -5*y - 6*m + 3*m = 568. Sort 0, -96, y, -0.4 in increasing order.\nAnswer: y, -96, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 24, -5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 2*((-98)\/(-36))\/(-7). What is the biggest value in -2, a, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = 4*d - 7, -2*s = -5*d + 5. Suppose 4*h = q + 1 - 3, -5*q - 5*h = -60. What is the remainder when (-38 + d)\/((-2)\/2) is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + -4 + (1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 143873 (b) 1\/3 (c) 2\/7 (d) -3 (e) -4\/3 (f) 0 (g) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*x + 1595 + 148 = 0, 2*m + x = 1162. What is the common denominator of m\/63 + (-1)\/1 and -27\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -818*v + 24 = -812*v. Suppose -a - 15 = -4*i, 12 = -3*i + 5*i + 4*a. Solve v = -i*q + 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4958 * -0.3\nAnswer: 1487.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19856.853 nanoseconds?\nAnswer: 0.00000033094755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 12, f: 5, p: 1, w: 1}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p + 18 = 100 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4606 divided by 773.\nAnswer: -4606\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 5*c - 4. Suppose -12 = -0*h - 4*h. What is the units digit of f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257398 is divided by 255551?\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -10*y - 21. Sort -4, y, 148 in decreasing order.\nAnswer: 148, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -453, -3, 3, -163, 0 in increasing order.\nAnswer: -453, -163, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-1*sqrt(209) - sqrt(209)) + sqrt(209) + (2*sqrt(209) - sqrt(209))*-1 + sqrt(209) + sqrt(209))*-6)\/(-3*(1*sqrt(176)*-5 - sqrt(176))).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t**3*x - 1818*t**3 + 74*t**2*x - 5*t**2 + 6799*t + 1728*x - 6 wrt t.\nAnswer: -12*t*x - 10908*t + 148*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 19 (b) -16 (c) -231 (d) 0 (e) -6 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 174 = -2*l + 62 + 61, 0 = 3*b + 5*l + 28 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 16600991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.567 * -0.1.\nAnswer: -0.0567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -79*(-5 - (5 + 97 - 4)). Let u = k + 150. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2919.96 * 0.02\nAnswer: -58.3992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 21254 = 3*z, 532 = 2*z - f - 13668. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 + f**2 - 13*f + 4. List the prime factors of h(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 3:47 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/11)*z*z\/(z**(-6)\/z)*(z*z**(2\/9)\/z*z)**(-39))**3 assuming z is positive.\nAnswer: z**(-1273\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 - -96. Put -3, -6, w in increasing order.\nAnswer: -6, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 = 0, 0*h + 5*a = -h + 9. Suppose 3*m + 2 + h = 0. Is -3 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (((-888)\/7)\/(-3) + (23 - 2934\/126))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8016 and 6009328.\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23344.3 + 23344. Sort -4, -3, h, 1.01 in decreasing order.\nAnswer: 1.01, h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716 a factor of 728652436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 937049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.9085635 microseconds?\nAnswer: 0.0000009085635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 10 = -3*s + 5*a, -5*a = -13*a + 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*j - 1432 = -5023 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -20 and 1.96?\nAnswer: 21.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.14251s in milliseconds?\nAnswer: 72142.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/384 and -139\/720.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -2 + 1 + 2. Let p(i) = 4*i**2 + 1 + i - w + 3. Determine p(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*f - 428 = 0, -855 + 633 = -3*k + 4*f. What is the lowest common multiple of k and (-28)\/(-35) - 12\/(-10)?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*y + 77*y = 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (539\/(-48510))\/((-5)\/180) + (-54)\/(-35) + -2.\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 41.6, -143, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjjp when four letters picked without replacement from ppppjppjjppp.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/(-4)) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syg when three letters picked without replacement from sbygb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -303120?\nAnswer: -303100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*t + 467 = 2223, -3500 = -4*k - t. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5466497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 104*m + 101*m + 1416022 = 0, -2*m + 354013 = x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 393 + -361 - (51 + -2).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by 56.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1079393370 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 19*k + 6. Let s be o(-23). Let j = s + 92. Suppose -12*x = -10*x - 2. What is the smallest common multiple of x and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 0*m + 43333*m**2 + m - 3 - 43334*m**2. Let s(o) = -o. Determine c(s(p)).\nAnswer: -p**2 - p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(2\/7)))**(1\/73) assuming z is positive.\nAnswer: z**(2\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 13. Let u be r(-9). Suppose 5*d + 95 = -5*w, -2*d - 14 = -3*w + u. Let k(j) = j + 15. Let f be k(d). Solve -c - 4*c = f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/20169108 and -55\/32494674.\nAnswer: 584904132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -55. Suppose a*z - 42 = 5*z. Factor -13 + 26 + z*h**2 + 179 - 48*h.\nAnswer: 3*(h - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0494187 + -1344913.9505813. Let d = -1344927.30071 - l. Let t = -13.3 - d. What is t rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150058*15\nAnswer: -2250870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -63479 less than -63474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -81*o**5\/2 + 855*o**4 - 7405*o**3\/2 + 6570*o**2 - 5250*o + 1568 = 0. What is o?\nAnswer: 1, 14\/9, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnbq when four letters picked without replacement from {l: 1, d: 3, n: 3, q: 8, b: 3}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 725*x**3 - 236*x**3 - 239*x**3 - 5*x - 231*x**3.\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14 and -10.5.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 4\/5 (c) 0.3 (d) -3\/4 (e) 4 (f) 17\/210\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + 30\/(-7). Let v = 8 + i. Suppose 2*z + v = 3*z. What is the highest common divisor of z and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1 - (-70 + 70)) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -0.6?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*l**4*o + 59787*l**2 + 70351097*o wrt l.\nAnswer: -48*l**3*o + 119574*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (20\/50)\/((-52)\/(-754)) and 19\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603528038.\nAnswer: 2, 163, 1851313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a. Let x be b(3). Let y = x + 103. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2407999 divided by 14773?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31510 and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(sqrt(576) - sqrt(576)*-2))\/((1*sqrt(300) + sqrt(300) + sqrt(300))\/((sqrt(6) + sqrt(18)\/sqrt(3))*-2)).\nAnswer: 192*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-6))\/((-16)\/4560). Let b = -88 + n. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5500 (base 7) to base 3\nAnswer: 2200121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**5 - 428*x**4 + 24208*x**3 + 101840*x**2 + 103488*x = 0.\nAnswer: -147, -2, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2884955*f - 29162. Let d(z) = 2077*z - 21. Give -4166*d(t) + 3*h(t).\nAnswer: 2083*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxvxxxvxxxxx?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/10*175\/70*60\/(-14)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:59 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, i: 2, h: 1, t: 2, e: 4}. What is prob of picking 1 e, 1 i, and 2 t?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from vnwnnnvzzznznnzwzzn?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 638040956 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18348 divided by 4?\nAnswer: -4587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 10*w - 0*w. Which is the closest to -2? (a) w (b) -3\/2 (c) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6)*(-16)\/24. Let x be (-28)\/(-20) + -1 + 0. What is the nearest to 0.2 in -5, d, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w**2 - 2*w - 5. Let m(d) = -4*d**2 + d - 4. Let q(p) = 9*p**2 - 3*p + 9. Let f(o) = 10*m(o) + 4*q(o). Let h(x) = -3*f(x) + 2*j(x). Determine h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077872 divided by 1616?\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*z**2 - 395*z**2 + 196*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 96, 147, 198?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 - 13687.867.\nAnswer: -13840.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 o when three letters picked without replacement from {m: 2, t: 4, a: 7, o: 5}?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 4*a + a - 1)*(-3*a**2 - 4 + 4).\nAnswer: -6*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37 and -333.596.\nAnswer: 12343.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -22*w**2 + 6428*w - 114207. Give b(19).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p**2. Let h(i) = -615*i. Give b(h(z)).\nAnswer: -4538700*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 265.37 - 1.37. Which is the nearest to -0.1? (a) -0.2 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (106 + -14 - 9) + 24 + -15 + -11?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*i + 26 = 12, -2*j - 2*i = -6. Sort 0, -3, -1, j, -36 in decreasing order.\nAnswer: j, 0, -1, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-24 - (-13 + 8 + 11))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*n - 5*n. Sort 129, -1, n in decreasing order.\nAnswer: 129, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rztvztzttz. What is prob of picking 1 v and 3 t?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**10*v)\/v*v**(-2\/15)*v)**(5\/4) assuming v is positive.\nAnswer: v**(89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*d**3*l**3 + 4*d**3*l**2 + 10*d**3*l - 805204*d*l**3 - 2*l**3 + 4*l**2 + 1158*l wrt l?\nAnswer: -72*d**3 - 4831224*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/30*(-10)\/(-6)*2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 1:19 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 5*i + 150.\nAnswer: -5*(i - 6)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4895432 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 15711477.5 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -1309, 0 in decreasing order.\nAnswer: 5, 1, 0, -1309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1071*u - 1035*u - 216 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.8762694 times -0.4\nAnswer: -0.35050776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from spbszyzfpbzzsssbsf.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = v, 8*i - 4*v - 8 = 4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -102196*n**2 + 82594*n wrt n.\nAnswer: -204392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453 is divided by 586?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -9 - (-9 - 2 - (-2 - -7)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -9*h**4\/4 + 15*h + 5. What is the derivative of d(x) wrt x?\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/134112 and 99\/4064.\nAnswer: 134112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246058 is divided by 2153.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 283\/17 (b) -0.6 (c) -15\/2 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*l**3 + 100*l + 106*l - 204*l to k + m*l**2 + f*l + p*l**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, t: 9, q: 3, h: 4}. What is prob of picking 3 j and 1 q?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/205 (b) -6\/13 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*k + 19 - 7, -3*k + 2*g = -2. Suppose 2*n - 1 = a - 12, -k*a = -5*n - 26. Factor 6*v + 2 - 4*v - v**3 - 2*v**a + v - 2*v**2.\nAnswer: -(v - 1)*(v + 1)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + v - 4 = 0, -4*w + 4 - 3 = -3*v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2317231, 4634688, 6952145, 9269602, 11587059, 13904516?\n\"Answer: 2317457*f - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5, -x = -3*y - y + 28. Let h = x - -11. Suppose -a + 5 = 3*o, -2*o + 5*o = h*a + 9. Solve o + 2 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89*j*y + 300*j - 27*y - 1989 wrt j?\nAnswer: -89*y + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 97592097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) 3 (b) -2\/5 (c) -4\/5 (d) 41\/24 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.004 + 1.004. What is the smallest value in 2\/15, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 41. Which is the biggest value? (a) -4 (b) -1\/8 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0. Let p = 33.4 - 31. Let w = -6.4 + p. Which is the nearest to v? (a) 3\/2 (b) 4\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2884 + -2889. What is the smallest value in 1.8, 0.5, -1, b, -3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, x: 6, t: 3, z: 1}. What is prob of sequence kkt?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 531*a**3 - 173*a**3 - 4 - 181*a**3 - 176*a**3 - 30*a**4 to the form t*a**2 + x*a**3 + r*a**4 + p*a + d and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3015 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r - 4. Let l(x) = x**2 + x - 2. What is the remainder when l(2) is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1800 + -1797. Let v = 0.006 - -0.194. What is the nearest to v in c, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*t = 848 + 2338. What is the remainder when 287 is divided by t?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21700056 to the power of 1\/2, to the nearest integer?\nAnswer: 4658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 50.03, -0.041, 3, 0.3, -0.91?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4992966 to the power of 1\/2, to the nearest integer?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.9161 - -0.0161. Let u = h - -104.4. Let a = u + -53.6. What is a rounded to 0 dps?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 + 23*f + 12. Let u be g(-9). Find the first derivative of u - 11*v - 18 - 19 wrt v.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/4 - 4869*a**2\/2 + 9741*a\/4 + 9739\/2 = 0.\nAnswer: -9739, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68784, 68786, 68788, 68790?\nAnswer: 68792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 2*v = 89, 39406*v - 39403*v + 148 = 5*n for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = a - 10, -f + 3*f - 2 = 4*a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*y - 325 = 0. Let k be (-544)\/(-3) + (-728)\/(-1092). Calculate the greatest common divisor of y and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 7:26 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -4 (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2650.399957945 + -2650.4. What is l rounded to six decimal places?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*n - 7 - 8 = 0, 0 = -5*v + 3*n + 10. Find the third derivative of -g**6 - v*g**6 + 4*g**6 - 12*g**2 wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649703059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -2*o - 13, 32*o - 237 + 35 = 2*k for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3839069 is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 0.2 (c) -1 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 1:26 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 193619 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59 and -320.\nAnswer: 18880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25394505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j - 1. Let n = 7 + -2. Suppose -4*z + n = -9*z. Give c(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3285 + 3285 + 86*y**2 - 90*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*r**5\/9 + 2*r**4\/3 - 404*r**3\/9 - 320*r**2\/3 + 448*r\/9 = 0. Calculate r.\nAnswer: -4, 0, 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*-2*sqrt(68) + 3 + (1*sqrt(68)*4 - ((0 + sqrt(68))*5 - sqrt(68)))))**2.\nAnswer: -864*sqrt(17) + 39249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*o - 36 - 1393 = 671 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 722 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5 - 6 + 18*b - 3*b. Let v(c) = 2*c - 12. Calculate the remainder when o(1) is divided by v(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n)\/n**2)\/(n*n**(2\/19)*n**0) assuming n is positive.\nAnswer: n**(-59\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 397 - 207. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213749501 is divided by 2656.\nAnswer: 2653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25877687109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689428453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**3 - 350*b**2 + 532*b + 31321. Determine s(-88).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 758 by 379.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 3*x**7\/14 - 2*x**3\/3 + 4*x - 8. Let t(u) be the first derivative of g(u). Find the second derivative of t(j) wrt j.\nAnswer: 180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4335 = -32629*h + 32374*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.9737 rounded to 1 dp?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 11) to base 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by -5 + -3 + 20 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 7*t**2 - 4*t - 7. Let k = 1174 - 1182. Determine u(k).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1155 = 6*n - 13*n. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1629 - 1553. Solve -n + 86 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdq when three letters picked without replacement from {d: 1, q: 1, l: 1, s: 1, t: 2, f: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-27))\/(0 - 1))\/((-322)\/10143).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -187 - 0?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4 = 2*x, -19 = -2*x + 105*a - 106*a. Solve 6 = h - 4*h - 4*t, 4*h + x = 3*t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from offeemfffoeemfoffeo?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) + 168\/30. Suppose -a*g + 5*g + 6 = 0. Solve 0 = -g*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 396.723 - 398. Let o = 0.019 - b. Let j = o + -1.2. What is j rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**11\/w*w*w\/(w**(-14)*w)*w*(w*w*(((w*w*w**0)\/w)\/w)\/w*w*w)\/w**(-9) assuming w is positive.\nAnswer: w**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/10*(-2)\/4. Let f = 567 + -571. Which is the second smallest value? (a) -2\/13 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*f - 5*g + 1, 0 = -1057*f + 1060*f - g + 2*g - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-68)\/68 - 2*-1. Let b(f) = f**2 + 5*f - 1. Let l be b(-4). Put l, u, 4 in decreasing order.\nAnswer: 4, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -370, -751, -1132, -1513, -1894?\n\"Answer: -381*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 greater than 1244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1004*t**3 + 559*t**2 + 8*t. Let q(m) = -3012*m**3 + 1676*m**2 + 22*m. Let a(d) = 11*i(d) - 4*q(d). What is the third derivative of a(g) wrt g?\nAnswer: 6024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1665, -1648, -1605, -1524, -1393?\nAnswer: -1200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Let q be (-289)\/(-51) + 4\/(-6). Suppose 5*y + 5*t - 46 = -16, -4*t = -q*y + 30. Solve -4*z = x + v, 4*x - y - 4 = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*v + 13 = -v, l = -4*v + 28. Let k(h) = -l + 11 + 6*h - 17*h. Does 13 divide k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-104)\/6*6\/(-4). Let g = q + -19. Find the first derivative of 18*m - 7*m - g*m - 9 wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -63 and -17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.05, -2, -6, 1690, 2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36526 - -36522. Which is the closest to 3\/41? (a) x (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -31273426, -31273420, -31273414, -31273408?\n\"Answer: 6*m - 31273432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 1, m: 2, e: 2, b: 8}. Give prob of picking 1 l and 1 e.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/6 + 493*q\/2 - 2950\/3 = 0.\nAnswer: 4, 1475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 k when four letters picked without replacement from kjjkkjjwwkkjekkjkjkk?\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 246\/15 + 2\/(-5). Let p = y + 5. Let a(v) = -5*v**3 + 2*v**2 - 2. Let f(b) = -51*b**3 + 21*b**2 - 21. Determine p*a(t) - 2*f(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 20 = 9*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18600 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -1. Let o be ((-3)\/2)\/(4\/(-40)). Let p = o - 9. Which is bigger: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9 + 9)\/(-2 - 1))\/2. Suppose 5*b - 6*p + 10*p - 1040 = 0, c = -2*p - 10. Round b to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*q + 2 + 132 = 0, -5*p = -3*q + 218. List the prime factors of (0 - p\/1) + 1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + x - 5. Suppose -9 = -x*d + 6. Calculate the least common multiple of 3 and (-76)\/(-8) - d\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 26*l**2. Let u = 575 - 20. Let g(j) = -j + u - 555 - 3*j. What is b(g(n))?\nAnswer: 416*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7213*g**3 + 35*g**2 - 35*g**2.\nAnswer: 7213*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 28, -212, -456, -704, -956, -1212?\n\"Answer: -2*q**2 - 234*q + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*a + 47615 = 0, -75*p + 77*p - a - 19043 = 0. List the prime factors of p.\nAnswer: 3, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19620955 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z**(-1\/16)*z*z\/(z\/(z**(-2\/3)*z)))\/((z*(z*z\/(z**(-10)\/z))\/z*z)\/((z*z**(-4)\/z*z*z)\/z)) assuming z is positive.\nAnswer: z**(-611\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/5*x**4 + 503\/5*x**2 + 456\/5*x - 93\/5*x**3 - 144\/5 = 0.\nAnswer: -1, 1\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5917 - 5750 + 10043 = -28*p for p.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from zvzgvvvdzdvggzdzeglg.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2516*y - 11848. Calculate w(-5).\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 14*a - 15 + 2 + 0*a**2 + a**2 - 2*a. Let o be w(-14). Let k = o + 12. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197668284?\nAnswer: 2, 3, 11, 193, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a**2 + 23*a**2 - 177*a**2 + 81*a**2 + 20*a**3 + 27*a**2.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m + 48 = 0. What is the remainder when 34 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -13. Let h be 10\/20 + (-1)\/(-6). What is the biggest value in z, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6691, 11206, 15721?\nAnswer: 20236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*a**2*g*t**3 + 14*a**2*g*t**2 - 3*g*t**3 - 3*g*t**2 + 2*g wrt t.\nAnswer: 432*a**2*g - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 19*j**2 - 898*j + 18312. Calculate v(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2 - 25. Let o be (d\/6)\/((-7)\/14). Let v = 4 + o. What is the least common multiple of 6 and v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4428, 4782, 5380, 6222, 7308?\n\"Answer: 122*m**2 - 12*m + 4318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-91)\/21 + 5)*(60 + -87).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1578077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 430890 to the power of 1\/2, to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 369722355*m**3 + 9652739 wrt m?\nAnswer: 1109167065*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let z(d) = -d. Let u(c) = -5*p(c) + 3*z(c). Let h(i) = i**2 - 7*i. Let m(y) = 2*h(y) + 7*u(y). Let n(k) = 6*k. Determine n(m(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38.3 - 38. Let c = -0.05 + -0.05. Sort c, -1, u.\nAnswer: -1, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 132 and -4938.93.\nAnswer: -4806.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 1\/((-2)\/4). Let n be (10\/4)\/(v\/2). Solve 6*a - n*a + 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21744 and 5071788.\nAnswer: 20287152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5*4*(sqrt(128)*1 + sqrt(128) + sqrt(128) + 1))**2.\nAnswer: -1844800 - 76800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 25 = 2*l - 5*j, 2*l - 2*j = -10. Suppose l = 11*y - 595 - 626. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140897 is divided by 224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 95*l**2 - 17*l + 72. Does 24 divide b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (3 - (-17 + 3))) + (27 - 19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 520 and 4160.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -16*33\/(-1)*2\/12. Let n be (-170)\/(-368) - 33\/f. Which is the third biggest value? (a) 3 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8*y - 28. Let r be z(8). Suppose -42*s = -r*s - 78. Let d(b) = -b**2 + 13*b + 5. What is d(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200121221 + -1121212020?\nAnswer: -2022111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224156832?\nAnswer: 2, 3, 17, 19, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 9 = -6, 2*y = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 1 (c) 0.3 (d) -18\/13 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -792*h**2 - 2\/11*h**4 + 0 + 0*h + 24*h**3.\nAnswer: -2*h**2*(h - 66)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(2*w - w + 2*w + (-4 + 3 - 1)*(0*w - 3*w + 4*w) - 3*w + 0*w + w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11376511 is divided by 15779?\nAnswer: 15631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrrnxnlkorxxo. Give prob of picking 1 x, 1 n, and 1 k.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*r + 176, 2*g = 3*g + 4*r - 53. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 7*r + 172. Give u(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3976760264+33810\nAnswer: -3976726454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4 and -77\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 4714*l - 104676.\nAnswer: 2*(l - 22)*(l + 2379)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 minus -784023661035?\nAnswer: 784023661036.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 3*d + 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77515430 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 3, 2, -6, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/u**(-37)*u*u)\/u)\/u)\/(u**(-18)\/u) assuming u is positive.\nAnswer: u**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2922*w + 23 - 1754 = -2798*w + 377 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*s**2 - 85*s**2 - 256*s**2 + 52*s**2 in the form d*s**2 + t*s + b and give d.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11637488 - -5.8.\nAnswer: 11637493.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 127*l - 187. What is d(62)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1893, 1702, 1383, 936, 361?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -114*h**3*u + 407*h**3 with respect to u.\nAnswer: -114*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/4 of a day?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 10*f + 44 = 2*m, 4*f = -5*m + 82. Suppose 0 = -m*p + 12559 + 56399. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -179*f**7\/42 - f**3\/6 + 23*f**2\/2 - 92*f. Find the second derivative of m(u) wrt u.\nAnswer: -3580*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 4*g + 83 - 3*g - 8. Suppose -2*x + 42 = -o + 61, 57 = 3*o - 3*x. What is the remainder when m(0) is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -18089.\nAnswer: 4\/18089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -343 and 3.3.\nAnswer: -1131.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**4 - 15*g**3 + 1350*g**2 = 0?\nAnswer: -18, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 0 + 0. Let z(g) = -2*g - 4. Suppose -i = -0 - 4. Let a(s) = s + 1. Let k(q) = i*a(q) + z(q). What is k(j(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - -0.1. Let h = 0.339 + -0.139. Which is the nearest to n? (a) -3\/8 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 93.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*12\/270*-2*(-3033)\/27634?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1797 - 1749. What is the closest to 0.2 in -4, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15200 is divided by 346.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 26367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 5*a**2 + 4*a - 17. Let v be i(5). Suppose 5*o = -y - 1915, 4*o - 7*y + v*y = -1556. Let s = o - -595. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 4*b - 5*b)*(2 - 5 + 1) + 13*b - 7*b - 9*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/1437555 and 16\/4696013.\nAnswer: 70440195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76032 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 301?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 16*m**3 - 7*m**2 + 2*m + 8. Suppose 230 = 5*u + 41*u. What is the units digit of o(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135341283 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346.0923 nanograms to kilograms.\nAnswer: 0.0000000003460923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.04 - -0.14. Let k = -1.2 - p. Let u = -0.64 - -5.64. Which is the second biggest value? (a) u (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22 * -3802.\nAnswer: -83644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246260?\nAnswer: 2, 5, 7, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4647?\nAnswer: 3, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61243 = 502*w - 515*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*a + 2270 = -175*a + 7870 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 - -2.21. Let o = -0.19 + 0.2. Let p = t - o. Which is greater: -0.1 or p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 3:35 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h = -25*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**5\/2 - 21*c**4 - 3825*c**3 + 38940*c**2 - 54753*c\/2 - 70119 = 0. What is c?\nAnswer: -49, -1, 2, 9, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/130 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 508.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 - 1040146.1.\nAnswer: -1040221.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*11.1\nAnswer: -0.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 139\/30, 0.5, -15?\nAnswer: 139\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*u + 32252 = 893*u for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 5340*a**2 - 279105*a + 536890.\nAnswer: -5*(a - 1013)*(a - 53)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 7, 0.3, -35, -61, -0.1, -0.31?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177637269 to the nearest integer?\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96767\/16 + 6048. Let s(q) = q**3 - 2*q**2 - 4*q + 1. Let w be s(3). Which is the closest to -1? (a) 6\/7 (b) y (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, b: 3, w: 1}. What is prob of sequence bbbw?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 3 + 4*o + 5. Suppose -4*u - 16 = 0, 5*a + u + 0*u = -29. Let s(v) = v**3 + 4*v**2 - 3*v + 5. Let r be s(a). Determine j(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -15.7\nAnswer: -141.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*n + 10 = 0, -64*n + 38*n = 4*r - 25*n - 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 585499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/10 (b) 2\/9 (c) 203\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-15)\/2)\/5)\/(-3)*5118 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*v - 249. What is the remainder when v is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m + 63. Let n be g(-12). Which is smaller: n or 13\/8?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3744 and 11817.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 55 times -1238\nAnswer: -68090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250263245 divided by 50052649.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36859, 147413, 331665, 589615?\n\"Answer: 36849*a**2 + 7*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34346 and 63362.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuukkkukuukuuuuku. Give prob of picking 4 u.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7*(-10)\/210)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-6) - ((-205)\/3 - 4).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79495, -318203, -716115, -1273243, -1989599?\nAnswer: -2865195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50664?\nAnswer: 2, 3, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-10)*(-118)\/(9912\/420).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 12) to base 9\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 126 = -5*r. Suppose 40 = -5*u + 3*g, -3*u = -2*g - 3*g + r. List the prime factors of u*(-7)\/((-14)\/(-3)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrk when three letters picked without replacement from kkrkkkrkk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**12*x)*((x\/(x**(-1\/10)\/x))\/x)\/x)**29)**(-14) assuming x is positive.\nAnswer: x**(24157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 5*i - 2. Let t be y(3). Let d(a) = -a**3 + 6*a**2 - 6*a + 4. What is the remainder when 1 - 2 - (-33 + -1) is divided by d(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(-2*sqrt(12)) + (3*1*sqrt(10) - sqrt(10)))\/(-1*(sqrt(320)*-2 - sqrt(320)))*-5)**2.\nAnswer: 25\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-1 - (-1 + 2)). Let i(s) = s**2 - 6*s - 5. Let o be i(7). Suppose 27 = 4*y - 3*g, 5 = o*g - 3*g. Solve d = y*f - 2 - 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 96278.\nAnswer: 1\/96278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from kkkkkkkg.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-22)*(-1 + (-3 - 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*v + 72. Let n(b) = 2*b + 49. Let d be n(v). Solve d + 4 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = p - 59, 5*j - 3*p + 145 = -p. Let c be j\/(-15) - (-8)\/(-10). Put -3, c, -2, 16 in decreasing order.\nAnswer: 16, c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g. Let a(c) = 338474*c - 6. Give p(a(j)).\nAnswer: 1015422*j - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/981 and -163\/2724696.\nAnswer: 296991864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:50 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/144 and 77\/360?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.7 - -4.7. Let r = b - -25.7. What is the second biggest value in r, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 57602843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 215 = 185. Let t = -149 - -159. Calculate the greatest common factor of g and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*p - 5 + 13 = 0, 5*p = -15. Let w(u) be the first derivative of 0*u + 0*u**4 + 0*u**3 - 1 + 0*u**h - 1\/5*u**5 + 1\/6*u**6. Factor w(v).\nAnswer: v**4*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 163475.1g?\nAnswer: 163.4751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.8 and -168708?\nAnswer: 168707.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnwnnnw. What is prob of picking 4 n?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 159*r**3 - 60*r**2*y - 72*y - 117 with respect to r.\nAnswer: 477*r**2 - 120*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 7*n + 90 = 0, -3*s - 2*s = 4*n + 66 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 250.988 - 251. Let q = 0.1159 + 3.8961. Let h = q + o. Which is the closest to 0? (a) -2 (b) -3\/5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 1:16 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3482 - -1.3482. What is the closest to -0.1 in 5, x, 2, -44?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2488, -4973, -7458?\nAnswer: -9943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-1) - (0 - -2). Let p(s) = -s**3 - 5*s**2 + 2*s - 2. What is the tens digit of p(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -847 (base 15) in base 8?\nAnswer: -3513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, 3, -0.1, -20\/11 in descending order.\nAnswer: 3, -0.1, -0.2, -20\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)\/(sqrt(7)*2) - sqrt(304)*-1)**2 - (-2 + sqrt(171) - (sqrt(19) + (sqrt(19) - (sqrt(76)*-2)\/sqrt(4))))**2)*3*4.\nAnswer: -48*sqrt(19) + 4341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -3*p**4\/4 - p**2\/2 - 3*p + 7. Let b(s) = s**3 + s. Determine -2*b(j) - k(j).\nAnswer: j**3 - j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 6*l**2 + 17*l - 6. Let d be y(-8). Is d smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10115739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290 divided by 129?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205537 is divided by 51335?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -91 - -95. Suppose -o*m + 46 + 34 = 0. Calculate the lowest common multiple of m and 26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12776 and 44?\nAnswer: 140536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20096 = -142*m - 17114 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -5 + 561\/34\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (924\/(-220))\/(15\/(-100) + 0)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 234\/1075?\nAnswer: 234\/1075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 0. What are the prime factors of (-2)\/(-6)*0 - g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 - 0.01. Let p = b - -0.4. Put p, 1\/3, 0 in ascending order.\nAnswer: 0, p, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(9) + sqrt(36)*-2)*2)\/(-2*sqrt(75) - -2*sqrt(12)).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**5\/60 + j**4\/24 + j**3\/6 - 9*j**2. Let x(u) = u**3 + 2*u**2 - 2*u - 2. Determine -10*m(s) - 5*x(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.85416899 rounded to three decimal places?\nAnswer: 0.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5315753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 2*h = -2*i + 12, -41*i - 30*i - 80 = -82*i + 18*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6)*(-378)\/84)\/((-2)\/12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33\/119 - -1\/119. Which is the nearest to k? (a) -4 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h - 8288 = 3552. Let g = 472 - h. List the prime factors of g.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 2. Calculate y(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35384*y = -35315*y - 2525952. Does 143 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p + 126 = 23*p. What is the first derivative of -p + 7 - 74*t - 49 wrt t?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 27. Calculate the remainder when o is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i - 3. Let w(o) = o - 1. Let t(g) = -6*l(g) + 17*w(g). Let b = -37 + 50. Suppose -10 = b*r - 36. What is t(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*d**2 + 6 - 1134137*d**4 - 4*d + 1136306*d**4 + 11 - d wrt d.\nAnswer: 52056*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 412732 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 292766 equal to 0.2329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**3 + 6*s**2 - 19*s - 27. Is 12 a factor of g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3398 = -17*u + 2093. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 6*f**2 - f + 8. Let r be a(6). Let y be 1\/r*(6 + 0). What is the remainder when (-2 - -16) + (-6)\/y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 1463307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, 1, 0, 146, -5, -33 in increasing order.\nAnswer: -33, -9, -5, 0, 1, 2, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2811, 2, 94, -4.\nAnswer: -2811, -4, 2, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**2 + 0*c + 4*c - c - c.\nAnswer: -8*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -e8141a?\nAnswer: -e8141a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10858227080318 and 3.\nAnswer: -10858227080315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/529? (a) 4 (b) 22\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1*(-3)\/(14*6\/70).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 3*t + 4*t)*(-4*t + 0*t + 2*t) + 111 - 266*t**2 + 1293*t - 1289*t - 215 + 106 to d*t**2 + p + k*t and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 981623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -201 - 30. What is the greatest common divisor of 189 and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**5 - 9*u**5 + 3*u**5 + 2*u**4 - u**5 - 2*u**4 + (4*u**4 - 5*u + 5*u)*(-u + 4*u - 4*u) + 0*u**5 - u**5 + 3*u**5 - u**5 + 0*u**5 - u**5.\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001585359589 rounded to seven dps?\nAnswer: 0.0001585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(30\/12))\/(8\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*q + 35601 + 38694 - 21655 = 0 for q.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**2 + 0*o**2 + o**2)*(3*o - o - o) + 282*o**3 - 525*o**3 - 352*o**3 to the form b*o**3 + z + s*o**2 + u*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.42292 rounded to one dp?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -153\/4. Calculate the common denominator of d and 1\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/7 (b) -1 (c) 1 (d) 1.3 (e) -6\/5 (f) 199\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u - 2*u**2 + 2*u - 10*u**2 + 26*u**2 + 18*u**2 - 6*u**2 + u**2 + 3*u**2 + (-5 + 5 - 4*u**2)*(-6 + 26 + 15).\nAnswer: -110*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4454*q**3*x - 7*q**2*x + q**2 - 3*q + 16*x wrt q?\nAnswer: -26724*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 2*y + 1. Let m(g) = -11*g**2 - 8*g - 8. What is -m(x) - 5*n(x)?\nAnswer: 16*x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {q: 7, y: 6}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 427 - 845 = 0. What are the prime factors of c?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, -1, -3, 2, -5 in ascending order.\nAnswer: -98, -5, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 37, 256, -14 in decreasing order.\nAnswer: 256, 37, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2151824222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:47 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1155811, 1155809, 1155807, 1155805, 1155803, 1155801?\n\"Answer: -2*v + 1155813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 8*s**2 - 6*s - 2. Suppose -6*c = -23 - 19. What is k(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -17.2. Which is the nearest to t? (a) -4 (b) 5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - p - 86 = 32, -5*p + 135 = 5*c. Suppose -3*j = -5*w + 6, 3*j - 18 = 26*w - c*w. Determine f so that -3\/7*f + 0 + 1\/7*f**j + 2\/7*f**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2))\/(6\/(-8)). Suppose -2*w = h, -k - 3*w = 2*k + 57. Let c = k + 97. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/8163?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1298455 by 6.\nAnswer: 1298455\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 356510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r**3 + 7\/24*r**4 + 1\/70*r**7 + 0*r**5 + 0*r**6 + 0*r - 6*r**2 + 0. What is the second derivative of a(l) wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*h = -264*h + 156 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Suppose 0*u = 5*u - 4*o + 14, -2 = 3*u - 4*o. Let s be ((-10)\/u)\/(18\/(-27))*-2. Solve -3*n + 9 = 2*y, -5*y - 6 = -s*n + 34 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**2 + 0*u**2 - 4*u**2 + (-2*u + 2*u + u)*(u + 2*u - 2*u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j - 12. Suppose 0 = -j*k + 51 + 25. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*h + 4989, 0 = -5*h + x + 3614 + 1387. Calculate the highest common divisor of 728 and h.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*g + 3*v - 14 + 47 = 0, -7 = -v - 18 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaacmaaassmcmacam. What is prob of sequence aaam?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 11:48 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 67, 135, 203?\n\"Answer: 68*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1189*i*l*w**2 + 566*i*w + 41*l*w**2 + 18*w**2 wrt l?\nAnswer: -1189*i*w**2 + 41*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.382 in 0.5, 105, -2, 26?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-9)*3*5. Let y = -0.067 + 0.467. What is the nearest to y in -0.4, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -458, -472, -486?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l**(-1\/3)\/l)**(16\/7))**(-7\/3))**15)**31 assuming l is positive.\nAnswer: l**(2480\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 14) to base 4.\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 0*f + 19\/24*f**4 + 1 + 13*f**2 + 0*f**3. Let i(d) = -d + 5. Let v(j) = -2. Let p(u) = 2*i(u) + 5*v(u). What is p(o(g))?\nAnswer: -38*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(245) + -1 + sqrt(5) + sqrt(25)\/(sqrt(45) - sqrt(5)) + 0 + -4.\nAnswer: -5 + 19*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 300 - 300.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 3 + 0*h + 0*h. Suppose -7*q + 183 = -433. Let s(j) = 182*j**2 - 95*j**2 - q*j**2. Calculate s(g(r)).\nAnswer: -4*r**2 - 12*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12100211 (base 3) to base 13\nAnswer: -1a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, r: 2, j: 2, o: 1, t: 1, v: 4}. What is prob of picking 3 y and 1 t?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 306.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i - i + i + (-5*i - 2*i + 6*i)*(0 + 1 - 2) + 1 - 3*i - 1 + 2*i + 4*i - 2*i + 3*i - i - i + (-1 - i + 1)*(2 + 3 - 6) as g*i + c and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3115607*o**3*q**3 + 5*o**3*q**2 - o**3*q + 3*o**2*q**3 - 23401*o**2*q - 34*o wrt q?\nAnswer: -18693642*o**3 + 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 134. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 3*z + 15 + 60 + z.\nAnswer: 4*z + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0*b**2 - 7 + 11 - 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -41, -39, -5, -37 in ascending order.\nAnswer: -41, -39, -37, -5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 756, 789, 820, 849, 876, 901?\n\"Answer: -i**2 + 36*i + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 + 25*r**2 + 13*r**2 - 16*r**2.\nAnswer: 9*r**3 + 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**2 + 5*d**2 - 4*d**2 - 4*d**2 + 3*d**2 + 0*d**2 + (d - d + 2*d)*(-d - 4*d + 3*d) to the form a + g*d**2 + o*d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45820.5 - 0.5.\nAnswer: -45821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 103129 and -0.1?\nAnswer: 103129.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -q - 4*g, 0*q - g + 17 = 4*q. Suppose -4*j + q*s + 70 = 0, 2*j - 78 = -2*j + s. Suppose -5*i + j = -i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77\/6 - 13. Let x(w) = -2*w - w - 4*w + 3 + 2 + w**2. Let s be x(7). What is the third biggest value in q, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 30*m + 130. Let j be l(25). Differentiate -7*f - 25 - 31 - j*f + 10 wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n. Let s(k) = -11*k**2 + 22*k. Let y(r) = -r. Let a(d) = -s(d) - 22*y(d). Determine a(i(m)).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kflw when four letters picked without replacement from vuuvwwlffwklfl.\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 81 + 29 - 74.\nAnswer: 2*r**2 - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/4))\/(g**(-2)*g)*(g\/((g**(-6)*g)\/g))\/g*g**3*g\/(g*g**(-2))*g**(1\/2)*g**(-1\/2)\/(g**(-5)\/g) assuming g is positive.\nAnswer: g**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*w**5 - 21*w - 3.\nAnswer: -1340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 9*c + 7. Suppose 3*r - j + 4 = 15, 4*j = -4*r + 4. Suppose -4*i + 115 = -3*b, 3*i + b + 4*b = 50. Suppose 2*x = -r*x + i. Determine u(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 8. Suppose 0 = -4*z - 4*b - 4, z + 3*b = -5 + 2. What is the third smallest value in a, z, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*c**2)*(1 + 6 - 2) + 23*c**2 - 12*c**2 + 2*c**2 - c**2 + 0*c**2 + 2*c**2 as h*c + s + q*c**2 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -827, -784, -679, -482, -163?\nAnswer: 308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25960 or 25958?\nAnswer: 25960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 5*k = -28 - 47, 75 = 5*s + 5*k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q + 1. Let d = -2 + 3. Let p be s(d). What is the third derivative of 5*b**2 - 7*b**2 - 4*b**p + 2*b**5 wrt b?\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 611, 1136, 1667, 2210, 2771, 3356, 3971?\nAnswer: 4622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1118\/4 - (-3)\/6. What is the highest common divisor of 35 and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m + 15. Let t(s) = 5*s + 14. Calculate -2*j(x) + 3*t(x).\nAnswer: x + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 24766, 21903, 19038, 16171, 13302?\n\"Answer: -x**2 - 2860*x + 27627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*s**4 + 2*s**3 - s**2 + 39*s**4 - 20*s**4 + 1 - 3 to the form j*s**3 + h + w*s + u*s**2 + f*s**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 355 = -10. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 43181 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 2*h**5\/15 - 5*h**4\/6 + 8*h**3\/9 - 20. Factor m(u).\nAnswer: 2*u**2*(u - 4)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v + 214. Let q be w(-6). What is the first derivative of 13*i + q - 4*i + 5*i + 8*i wrt i?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2227\/5 < 3\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2650, -2651, -2652?\n\"Answer: -r - 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -47 - 73 - -41?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + (sqrt(72) - (-1*sqrt(72) + sqrt(72)) - sqrt(72)))\/sqrt(4))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5.5 times -408\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/(sqrt(5)*-2))\/(sqrt(8) + ((sqrt(288)\/sqrt(6))\/sqrt(6) - sqrt(8))))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*w**2 + 10*w + 41*w**2 - 20*w**2 wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245 times 0.08\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - 3*(1*sqrt(136) + sqrt(136))) + sqrt(136))\/(sqrt(72)*-2 - sqrt(8)).\nAnswer: 4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2854965019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -25*q - 45*q + 17*q. Let s(n) = -n. Give a(s(j)).\nAnswer: 53*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*d + 3751 = -12170, -3*j = -d - 15921. List the prime factors of j.\nAnswer: 3, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/2)\/(4\/(-8)). Suppose d*w - 67 = 4*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(sqrt(448) + -1) + sqrt(448)*1 + sqrt(448) + -1 + -2 + -1*(5*(sqrt(448) + 0) + (sqrt(448)*-2*6 - sqrt(448))))**2.\nAnswer: -1056*sqrt(7) + 54244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -698*a**3 - 28616*a**2 + 86*a + 167. Give f(-41).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 - 6*a - 4. Let n(r) = -5*r**2 - 5*r - 3. Let t(j) = 6*b(j) - 4*n(j). Factor t(v).\nAnswer: -4*(v + 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Suppose 0 = -b*a + 2, 4*p - 2*a - 9 = -7*a. Let u = -11 + 7. Sort p, u, 4 in decreasing order.\nAnswer: 4, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 6. Let g be i(-6). Let f be (-22)\/4*(g + -4). Let k(u) = 4*u. Let n(y) = 15*y. Determine f*k(h) - 6*n(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = 3*w + 13, 5*w = -5*j - 15. Let h be 3\/((-3)\/(-1)) + w. Sort h, -0.3, -1\/2 in increasing order.\nAnswer: h, -1\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + j**2 - 5*j**2)*(j + 0*j - 3*j) - j**2 - j**3 + j**2 - 3*j**2 - 1580*j**3 - 4*j**2 + 6*j**2.\nAnswer: -1577*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2245 (base 6) to base 9.\nAnswer: -652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.96 and -3159945.\nAnswer: 3033547.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3913517?\nAnswer: 719, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 908 = 2697. Suppose 5*t = 5*z - x, 3*z - 2*z - 94 = 4*t. Is z at least 107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 741934.4 millimeters to centimeters.\nAnswer: 74193.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 49 = 4*i + 39, 5*s + 3*i - 109 = 0. Let w be 50\/s*4\/(-5). Let m = w + 20. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -2\/15 (b) -0.5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156121.2975 + -34.7025. Let r = -156083.937 - t. Let y = r - -0.837. What is y rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -268, 4, 6, 3 in increasing order.\nAnswer: -268, -4, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2080, -9445, -21716, -38893, -60976, -87965?\n\"Answer: -2453*a**2 - 6*a + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*c + 6, 5*u - 1 - 9 = -2*c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4848 is divided by 125?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. Let n(a) = 2*a**2 - 2*a - 1. Let u be n(f). Suppose d = k - 3*d - 11, 2*d - 5 = -3*k. Solve -5*z = -3*s + 19, 0 = -u*z + s + k*s - 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/22 - 3996\/(-198). Calculate the common denominator of (147\/10)\/((-24)\/r) and (10 + 7664\/(-768))\/((-1)\/(-3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91264 by -248.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1782\/606)\/3 + -1. Let k = j + 2438\/707. Factor -4\/7*s**3 - k*s - 8\/7 - 18\/7*s**2.\nAnswer: -2*(s + 2)**2*(2*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165*u**3 - 106*u + 106*u)*(11*u - 11*u - 22*u**2).\nAnswer: -3630*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 - 821*t + 2 + 2012*t to the form k*t + n and give k.\nAnswer: 1191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1196*n = 1193*n + 4674. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*b - 2*m + 24, 0 = 2*b + 5*m - 38. What is the units digit of 68\/12 + 3\/b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 972 - 1186. Let c = 657 + -263. Let g = l + c. Calculate the highest common divisor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 1 + 4)*(2 + 3 - 4) + 0 - 2 + 0 + 4 + 2 - 1 + 10 - 9 + 3)*(4*n - 4*n + 2*n**2) as b + g*n + z*n**2 and give z.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 1\/15*q**3 - 1\/5*q**2 + 3 + 1\/5*q. Factor s(h).\nAnswer: (h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c**3 - c**2 + 5*c + 3. Let n(w) = 4*w**3 - w**2 + 2*w + 1. Suppose -3*y + 16 = 5*i, 0 = 170*i - 166*i - 2*y - 4. Determine i*l(o) - 5*n(o).\nAnswer: -2*o**3 + 3*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 752\/(-282)*330\/40?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 1063*v**8\/336 + 3*v**5\/5 + 5*v**4\/6 + 167*v**2 + 5*v. Find the third derivative of w(x) wrt x.\nAnswer: 63780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5904797 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - a + a)*(2*a + 7 - 7) - 470 - a + 474 - 98*a**2 + 0*a to c + r*a**2 + p*a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + b**2 + 3*b - 2. Suppose -3*i = 3, -3*a = -3*i - i - 10. Let t be d(a). Suppose -4*n - n + 55 = t. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kblbcbbkrcrbblbs. Give prob of picking 1 r and 2 c.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0*k = -3*c + 5, 3*c - 13 = -2*k. Suppose 2*o - 71 = o + d, k*o - 142 = -4*d. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9607.4*0.5\nAnswer: 4803.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65706 is divided by 19395.\nAnswer: 7521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04145 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 62. What is the derivative of 170*s**4 + 268 - v*s**4 - 60 wrt s?\nAnswer: 516*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 + (25 - 20) + -12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 4*h**3\/3 + h + 15. Determine j(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/3 - 29*f**3 + 62*f**2\/3 + 676*f + 1032 = 0. What is f?\nAnswer: -3, -2, 6, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168423 is divided by 171.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.071 + -0.229. Which is the smallest value? (a) -0.2 (b) o (c) -0.03 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-6) - (-1)\/(-6)*27. Sort -1\/8, -57, g in decreasing order.\nAnswer: -1\/8, g, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4176\/64 - (-3 + (-39)\/(-12)). Let z = -8 + 21. Calculate the highest common factor of v and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1446, -3763, -7832, -14529, -24730, -39311, -59148?\n\"Answer: -146*n**3 - 1295*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5255, 0, -48, 33 in ascending order.\nAnswer: -48, 0, 33, 5255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 at least -401749\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1963007 + -31549.\nAnswer: -1994556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 780858, 780856, 780854, 780852?\nAnswer: 780850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -7*i**5\/15 + 13*i**4\/3 + i**2. Find the second derivative of h(c) wrt c.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 640 = -3*m - 74, -3*c + 373 = 2*m. Suppose 31 = -a - 2*b - 39, m = -3*a + 5*b. Let v = a - -331\/5. Sort -2, 5, v in descending order.\nAnswer: 5, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859 is divided by 52.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s - 12 = 0. Let p(n) = -8*n**2 + 7. Let t be p(-3). Let a = t - -64. Sort s, 9, a.\nAnswer: s, a, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.331 and -16028840203.\nAnswer: -16028840202.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-9)\/t*t)*t**(-3\/11)*t)**38 assuming t is positive.\nAnswer: t**(4484\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4319788784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 75375?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 4*r**2 + 3*r + 5. Is i(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -33, -3, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -58*x + 19 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710419 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: Expand (-7 + 4 + 7)*(2*o**4 + 3*o**4 - 2*o**4).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18830 = -78*z + 4648. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**2 + 5*i + 10. Let w(c) = -2*c**2 - 2*c - 4. Let n(j) = 2*b(j) + 5*w(j). Let u(a) = 16*a**2 - 2*a. What is u(n(l))?\nAnswer: 64*l**4 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 40\/(-90) - (-6168535)\/279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 139194482 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17703 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.92 + -2.02. Suppose 5*u - 3 = 12. Let k = 8 + -12. What is the closest to r in u, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 50*u**2 - 49*u**2 - 7*u - 58. Let p be x(-7). Solve 2*l + p = -4*z, 4*z + 5*l = -0*l - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 80 and -56 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*g + 81*g + 15 = 0, -4*g = 4*c + 48 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h - 4 - 26*h + 19*h. Let p be v(1). What is the biggest value in p, 0, -0.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211296*r**2 - 241243*r wrt r?\nAnswer: -422592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 716 = -5*y - 681, 7 = -b + 4*y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82504.\nAnswer: 2, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2))**28\/(m**(1\/4))**(-24) assuming m is positive.\nAnswer: m**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -0.01?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebav when four letters picked without replacement from {a: 1, b: 2, v: 1, e: 9, y: 6, u: 1}.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000015114414322 rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10084 a factor of 2431302820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18e (base 15) to base 10.\nAnswer: -359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - i + 4*i)*(-4*i - 2*i + 5*i) + (0 + 3 - 2)*(5*i - 5*i - 2*i**2) in the form r + v*i + j*i**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -58 in descending order.\nAnswer: 2, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -2, -11 in decreasing order.\nAnswer: -2, -11, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 378\/(-180)*((-274340)\/129)\/58.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23333204 is divided by 5833280.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**3 + 5*f**2 - 4*f - 1. Let a(b) = b**3 - 2*b**2 - 12*b - 10. Let u be a(5). Let j(h) = 4*h**3 - 6*h**2 + 5*h + 1. Calculate u*o(g) + 4*j(g).\nAnswer: -4*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**5\/10 + p**4\/24 + 9*p**2. Let o be h(-1). Solve 0 = -2*u - o*i + 28, -12 = -3*i - 0*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2896\/21840 + 11\/(-231).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23974.498 rounded to the nearest one hundred?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a factor of 22100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (2 + (1 - 9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/4, 2\/1509, -4, -1891?\nAnswer: 2\/1509","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -291, 2\/13, 1, 3, -4 in descending order.\nAnswer: 3, 1, 2\/13, -4, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9791 * -3\nAnswer: 29373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (6\/(-87) - 0) + 342725080\/4292?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + (21 + -72 + 32 - -62).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -112, 1.\nAnswer: -112, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11a (base 11) to base 10.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 39 (b) 0.46 (c) 6127 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - 2*1\/2. Suppose 36*x - 93 = 200 - 41. Is x != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19162099 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 1. Let n be j(2). Suppose 4*t = 8 - 0. Suppose -10*l + t = -9*l. What is the greatest common divisor of l and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1300, 8732, 27522, 62908, 120128, 204420, 321022, 475172?\n\"Answer: 873*y**3 + 441*y**2 - 2*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22641*n**5 - 13*n**3 - 4828261*n.\nAnswer: -452820*n**3 - 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19525*k - 141447*k + 21925*k - 77762*k.\nAnswer: -216809*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19504.\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}